PLEASE HELP MEEE RIGHT NOWWWW

Tell whether volume applies to the situation ( please tell a , b , c , d , and e)

A. Wrapping paper used to wrap a gift

B. Milk poured into a glass

C. Air needed to blow up a ball

D. Fabric for making a quilt

E. How much will fit in a suitcase

Last one

Describe another situation in which volume would apply.

THANKS

Answers

Answer 1
I think it is milk in a glass it has volume. It has been a hit minute since I’ve done this
Answer 2
A. Wrapping paper used to wrap a gift - Volume does apply to this situation as wrapping paper has a certain volume that can be measured.

B. Milk poured into a glass - Volume does apply to this situation as the amount of milk poured into a glass can be measured in volume.

C. Air needed to blow up a ball - Volume does apply to this situation as the amount of air needed to inflate a ball can be measured in volume.

D. Fabric for making a quilt - Volume does not apply to this situation as fabric is measured in terms of area and not volume.

E. How much will fit in a suitcase - Volume does apply to this situation as the amount of stuff that can fit in a suitcase can be measured in volume.

Another situation in which volume would apply is:

F. Determining the amount of water required to fill a swimming pool.

Related Questions

What is the measure of GEF?
OA. 50°
OB. 60°
OC. 160°
OD. 110°
110°
G

Answers

The measure of angle CDE is 70°.

Option C) 70° is correct.

Angle BAC measures 80°.

Point D is located on side BC such that BD = CD.

Angle ADE measures 30°.

To find: Measure of angle CDE.

Since angle BAC measures 80° and angle ADE measures 30°, we can determine the measure of angle CDE by subtracting the sum of these two angles from 180° (the total measure of angles in a triangle).

Measure of angle CDE = 180° - (80° + 30°)

= 180° - 110°

= 70°

Therefore, the measure of angle CDE is 70°.

The correct answer is:

C) 70°

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The  complete question may be like;

In the diagram below, triangle ABC is shown. Angle BAC measures 80°. Point D is located on side BC such that BD = CD. Angle ADE measures 30°. What is the measure of angle CDE?

A) 50°

B) 60°

C) 70°

D) 80°

Please let me know if you have any specific requirements or if there's anything else I can assist you with.

What is the equation of the line shown in the coordinate plane below?
a=y=6x
b=y=-6x
c=y=1/6x
d=y=-1/6 x
Please show your work.

Answers

Answer:

your answer is c=y=1/6x

Can someone help me with 6-11. Directions: Find the volume of each figure. Round to the nearest hundredth when necessary.

Answers

The calculated volumes of the figures are 11264 cubic units, 14482.28 cubic units, 3744 cubic units, 475.2 cubic units, 18824.14 cubic units and 91.99 cubic units

How to find the volume of the figures

The cylinder

The volume is calculated as

V = πr²h

Where

r = Radius

h = Height

So, we have

V = 22/7 * (32/2)² * 14

Evaluate

Volume = 11264

The cylinder

The volume is calculated as

V = πr²h

Where

r = Radius

h = Height

So, we have

(2r)² = 40² - 32²

(2r)² = 576

So, we have

r = 12

So, we have

V = 22/7 * (12)² * 32

Evaluate

Volume = 14482.28

The rectangular prism

The volume is calculated as

V = lwh

Where

l = Length

w = Width

h = Height

So, we have

V = 8 * 12 * 39

Evaluate

Volume = 3744

The triangular prism

The volume is calculated as

V = 1/2lwh

Where

l = Length

w = Width

h = Height

So, we have

V = 1/2 * 11 * 5.4 * 16

Evaluate

Volume = 475.2

The sphere

The volume is calculated as

V = 4/3πr³

Where

r = Radius

So, we have

V = 4/3 * 22/7 * (33/2)³

Evaluate

Volume = 18824.14

The sphere

The volume is calculated as

V = 4/3πr³

Where

r = Radius

So, we have

V = 4/3 * 22/7 * 2.8³

Evaluate

Volume = 91.99

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Select the correct answer. What are the x- and y-intercepts of the function g(x) = (x + 1)(x2 − 10x + 24)? A. x-intercepts: -1, 4, 6; y-intercept: 24 B. x-intercepts: -6, -4, and 1; y-intercept: 24 C. x-intercepts: -4, -1, 6; y-intercept: -24 D. x-intercepts: -6, -1, 4; y-intercept: -24

Answers

The x- and y-intercepts of the function g(x) = (x + 1)(x² − 10x + 24) include the following: A. x-intercepts: -1, 4, 6; y-intercept: 24.

What is the x-intercept?

In Mathematics, the x-intercept is also referred to as horizontal intercept and the x-intercept of the graph of any function simply refers to the point at which the graph of a function crosses or touches the x-coordinate (x-axis) and the y-value or value of "y" is equal to zero (0).

When y = 0, the x-intercepts can be calculated as follows;

g(x) = (x + 1)(x² − 10x + 24)

0 = (x + 1)(x² − 10x + 24)

0 = (x + 1)(x² − 6x - 4x + 24)

0 = (x + 1)x(x − 6) -4(x - 4)

0 = (x + 1)(x - 6)(x - 4)

x = -1, 4, 6.

When x = 0, the y-intercept can be calculated as follows;

g(x) = (x + 1)(x² − 10x + 24)

g(0) = (0 + 1)(0² − 10(0) + 24)

g(0) = 24.

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what value of x is in the solution set of the inequality 2(3x-1)>4x-6

Answers

Answer:  the solution set of the inequality 2(3x-1)>4x-6 is all values of x greater than -2.

Step-by-step explanation:  To solve the inequality 2(3x-1)>4x-6, we first simplify the left side by distributing the 2, which gives us 6x-2. Substituting this back into the original inequality, we get:

6x-2 > 4x-6

Next, we isolate the variable term (6x) by subtracting 4x from both sides:

2x-2 > -6

Then, we add 2 to both sides to isolate the variable term completely:

2x > -4

Finally, we divide both sides by 2 to solve for x:

x > -2

Therefore, the solution set of the inequality 2(3x-1)>4x-6 is all values of x greater than -2.

How to right 0.481 in standard form

Answers

Answer:

4.81 × 10-1

Also its "write"

Also I have your IP

Also I'm kidding relax

The table below shows the cost of different numbers of goldfish at a pet store.​

​Number of Goldfish Cost​
​5​ $1.50
10 $3.00
15 $4.50
20 $6.00


​​The cost is a linear function of the number of goldfish. Which statement describes the rate of change of this function?​​
A
The cost increases $0.30 each time 1 goldfish is added.
B
The cost increases $1.50 1 goldfish is added.
C
The cost increases $3.00 5 goldfish are added.
D
The cost increases $6.00 5 goldfish are added.



​​

Answers

Answer:Option A

Step-by-step explanation:

It will option because if you 3/10 it would give 0.3 which can turned into $0.30 and we try it for example 5x0.30, it will give us $1.50 which proves that the cost increases$0.30 each time 1 goldfish is added

does 3 (x - 5) - 7=ax + b has a solution

Answers

Whether the equation 3(x - 5) - 7 = ax + b has a solution depends on the value of a.

To determine if the equation 3(x - 5) - 7 = ax + b has a solution, we need to compare the coefficients of x on both sides of the equation.

In the given equation, the coefficient of x on the left side is 0 (since 3(x - 5) - 7 does not have an x term), and the coefficient of x on the right side is a.

For the equation to have a solution, the coefficients of x on both sides should be equal.

Therefore, we need to equate 0 and a:

0 = a.

If a = 0, then the equation has a solution. However, if a ≠ 0, then there is no solution.

Therefore, whether the equation 3(x - 5) - 7 = ax + b has a solution depends on the value of a.

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Graph the function f(x) = -(1/5)^x+5 +7 on the axes below. You must Plot the asymptote and any two points with the integer coordinates

Answers

The graph of the function is added as an attachment

The asymptote: y = 7 and the points are (-5, 6) and (-7, -18)

Sketching the graph of the function

From the question, we have the following parameters that can be used in our computation:

f(x) = -(1/5)ˣ ⁺ ⁵+ 7

The above function is an exponential function that has been transformed as follows

Reflected over the x-axisDecay factor of 1/5Shifted left by 5 unitsShifted up by 5 units

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment, where we have the following points

Asymptote: y = 7

(-5, 6) and (-7, -18)

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In a Leichtman Research Group survey of 1000 TV​ households, ​74.8% of them had at least one​ Internet-connected TV device​ (for example, Smart​ TV, standalone streaming​ device, connected video game​ console). A marketing executive wants to convey high penetration of​ Internet-connected TV​ devices, so he makes the claim that the percentage of all homes with at least one​ Internet-connected TV device is equal to 78​%. Test that claim using a 0.01 significance level. Use the​ P-value method. Use the normal distribution as an approximation to the binomial distribution.

Answers

W do not have sufficient evidence at the 0.01 level of significance to reject the claim made by the marketing executive

How to explain the normal distribution

We'll perform a one-sample z-test for proportions.

From the survey, we know:

Sample size (n) = 1000

Sample proportion) = 0.748

Under the null hypothesis:

Proportion (p0) = 0.78

Now we can calculate the z-score:

z = (0.748 - 0.78) / ✓(0.78 * (1 - 0.78)) / 1000]

= -0.032 / ✓(0.1716 / 1000]

= -0.032 / 0.0131

≈ -2.44

From the z-table, the P-value for -2.44 is approximately 0.015.

However, we need to double this value to get the two-tailed P-value: 2 * 0.015 = 0.03.

If the P-value is less than the significance level (α = 0.01), we reject the null hypothesis. In this case, the P-value (0.03) is greater than α, so we do not reject the null hypothesis.

Based on the data from the Leichtman Research Group survey, we do not have sufficient evidence at the 0.01 level of significance to reject the claim made by the marketing executive.

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Goran bought 8 pounds of rice for $4.
How many pounds of rice did he get per dollar?
PLEASE HELP ME

Answers

Answer:

Step-by-step explanation:

32

*CORRECT ANSWER* Goran got 2 pounds of rice per dollar

What is the probability that a student who plays an instrument does not play a sport?
What is the probability that a student plays an instrument given that they play a sport?

Answers

Answer:

.2222

Please give the brainliest, really appreciated. Thank you

Please help!!! I will give points I need help asap!!!!

Answers

Answer:

[tex]x=(x-3)^{\frac{9}{5}}[/tex]

Step-by-step explanation:

The first thing we are going to do is change both sides of the equation to be base (x-3):

[tex](x-3)^{log_{(x-3)}(x)}=(x-3)^{\frac{9}{5}}[/tex].

Now, since the log is in base (x-3), the base (x-3) and the log cancel out:

[tex]x = (x-3)^\frac{9}{5}[/tex]

This is the final answer.

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.

Answers

Applying the angle of intersecting secant-tangent theorem, the measure of arc VT is calculated as: m(VT) = 116°.

How to Find the Measure of Arc Using the Angle of Intersecting Secant-Tangent Theorem?

Given that the lines appear tangent, the measure of the arc VT indicated above can be calculated using the angle of intersecting secant-tangent theorem which states that:

m<U = 1/2(m(WT) - m(VT))

Given the following:

measure of angle U = 37 degrees.

measure of arc WT = 190 degrees.

Plug in the values:

37 = 1/2(190 - m(VT))

74 = 190 - m(VT)

m(VT) = 190 - 74

m(VT) = 116°

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The circle has center O. Its radius is 2 m, and the central angle a measures 160°. What is the area of the shaded region?
Give the exact answer in terms of
, and be sure to include the correct unit in your answer.

Answers

Answer:

Area_shaded_region = 2 * (√(1 - cos^2(4π/9))) - (16/9)π m^2

Step-by-step explanation:

To find the area of the shaded region, we need to subtract the area of the sector from the area of the triangle formed by the radius and the two radii connecting to the endpoints of the central angle.

First, let's find the area of the sector:

The formula for the area of a sector is (θ/360) * π * r^2, where θ is the central angle and r is the radius.

Given that the radius is 2 m and the central angle is 160°, we have:

θ = 160°

r = 2 m

Converting the angle to radians:

θ_radians = (160° * π) / 180° = (8π/9) radians

Now, we can calculate the area of the sector:

Area_sector = (θ_radians / (2π)) * π * r^2

= (8π/9) / (2π) * π * 2^2

= (4/9) * π * 4

= (16/9)π m^2

Next, let's find the area of the triangle:

The formula for the area of a triangle is (1/2) * base * height.

The base of the triangle is equal to the length of the radius, which is 2 m.

The height of the triangle can be found using the formula h = r * sin(θ/2).

θ = 160°

r = 2 m

Converting the angle to radians:

θ_radians = (160° * π) / 180° = (8π/9) radians

Calculating the height:

h = 2 * sin(θ_radians/2)

= 2 * sin((8π/9)/2)

= 2 * sin(4π/9)

= 2 * (√(1 - cos(4π/9)^2))

= 2 * (√(1 - cos^2(4π/9)))

Now, we can calculate the area of the triangle:

Area_triangle = (1/2) * base * height

= (1/2) * 2 * 2 * (√(1 - cos^2(4π/9)))

= 2 * (√(1 - cos^2(4π/9)))

Finally, we can find the area of the shaded region by subtracting the area of the sector from the area of the triangle:

Area_shaded_region = Area_triangle - Area_sector

= 2 * (√(1 - cos^2(4π/9))) - (16/9)π m^2

This is the exact answer in terms of π, with the correct unit of measurement (m^2).

Please help me it’s due today!!!

Answers

Diagonals that bisect each other: Rhombus, Rectangle, Square.

Diagonals that bisect each other and are congruent: Rectangle, Square.

Diagonals that bisect each other and are perpendicular to each other: Square.

A parallelogram does not necessarily have diagonals that bisect each other.

A rhombus has diagonals that bisect each other.

This means that the diagonals intersect at their midpoints.

A rectangle has diagonals that bisect each other.

Additionally, the diagonals of a rectangle are congruent, meaning they have the same length.

A square has diagonals that bisect each other.

The diagonals of a square are congruent and perpendicular to each other.

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approximate the area under the curve y=x^3 from x=3 to x=6

Answers

To approximate the area under the curve y=x^3 from x=3 to x=6, we can use the midpoint rule with four subintervals.First, we need to find the width of each subinterval:delta x = (6 - 3) / 4 = 0.75Next, we can find the midpoint of each subinterval:x1 = 3 + 0.5 * delta x = 3.375

x2 = x1 + delta x = 4.125

x3 = x2 + delta x = 4.875

x4 = x3 + delta x = 5.625Now, we can evaluate the function at each midpoint:y1 = x1^3 = 40.39

y2 = x2^3 = 71.25

y3 = x3^3 = 106.29

y4 = x4^3 = 146.48Finally, we can use the midpoint rule formula to approximate the area:A ≈ delta x * (y1 + y2 + y3 + y4)

= 0.75 * (40.39 + 71.25 + 106.29 + 146.48)

= 267.98Therefore, the approximate area under the curve y=x^3 from x=3 to x=6 is 267.98 square units.

Find the solutions of the equation in the interval [-2,2] cot(x)= square root 3


X=?

Answers

The solution of the function on the interval is x = 0.524 radians.

What is the solutions of the equation in the interval [-2,2]?

The solution of the function on the interval is calculated as follows;

cot(x)= √3

1/tan(x) = √3

Simplify the expression as follows;

1 = √3tan(x)

tan(x) = 1/√3

The solutions of this equation in the interval [-2,2], is calculated as;

x = tan⁻¹(1/√3)

x = 0.524 radians

Another solution of x;

x = tan⁻¹(1/√3) + π = 3.67 radians

This value is not in the given interval, so there is only one solution to the equation cot(x) = √3 in the interval [-2,2], which is approximately x = 0.524 radians.

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Simplify:
-$4500 + $3000 + (-$800)

Answers

-$2300 because - -$4500+$3000+(-$800)=2300

PLEASE HELP ME I HAVE TO ANSWER THIS AND THERES A TIME LIMIT

Answers

The value of m∠ECD is 50°

What is an equation?

An equation is an expression that is used to show how numbers and variables are related using mathematical operators

In the right triangle, m∠B = 90°, hence:

m∠A + m∠B + m∠C = 180° (sum of angles in a triangle)

40 + 90 + m∠C = 180

m∠C = 50°

Also:

m∠C = m∠ECD (opposite angles are equal)

m∠C = m∠ECD = 50°

m∠ECD is 50°

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Find the surface area

Answers

Answer:

40 is the surface area.

Explanation on hiw to get the answer:

Mrs lucas classroom is a rectangle that measures by 9 feet by 12 feet what is the diagonal distance across the floor

Answers

Answer:

15 feet

Step-by-step explanation:

a^2+b^2=c^2

9^2+12^2=c^2

81+144=c^2

225=c^2

15=c

distance across floor =15 feet

PLEASE HELP
Which expressions are equivalent to the one below? Check all that apply.
27^x/9^x

Answers

I saw this earlier today i hope this helps

Need help on this…. Question pls help??

Answers

The segment lengths for this problem are given as follows:

AB = 7.AE = 9.BC = 10.05.

How to calculate the distance between two points?

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates given by [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Hence the length of segment AB is given as follows:

[tex]AB = \sqrt{(2 - (-5))^2 + (4 - 4)^2} = 7[/tex]

The length of segment AE is given as follows:

[tex]AE = \sqrt{(-5 - (-5))^2 + (4 - (-5))^2} = 9[/tex]

The length of segment BC is given as follows:

[tex]BC = \sqrt{(5-4)^2 + (5 - (-5))^2} = 10.05[/tex]

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Mark brought $43.00 to the state fair. He bought a burger, a souvenir, and a pass. The burger was
1
4
as much as the souvenir, and the souvenir cost
2
3
the cost of the pass. Mark had $4.50 left over after buying these items.
What was the cost of each item?

Answers

The cost of the burger is $10.50, the cost of the souvenir is $28.00, and the cost of the pass is $42.00.

Let's assume the cost of the pass is x dollars.

According to the given information:

The burger costs 1/4 of the souvenir, so the burger's cost is[tex](1/4) \times x[/tex]dollars.

The souvenir costs 2/3 of the pass, so the souvenir's cost is [tex](2/3) \times x[/tex]dollars.

Mark had $4.50 left over after buying these items, so we can set up the following equation:

[tex]43.00 - [(1/4) \times x + (2/3) \times x] = $4.50[/tex]

Simplifying the equation, we have:

[tex]43.00 - [(1/4) \times x + (2/3) \times x] = $4.50[/tex]

[tex]43.00 - (1/4 + 2/3) \times x = $4.50[/tex]

[tex]43.00 - (3/12 + 8/12) \times x = $4.50[/tex]

[tex]43.00 - (11/12) \times x = $4.50[/tex]

To solve for x, we'll isolate the variable on one side of the equation:

$43.00 - $4.50 = (11/12) * x

$38.50 = (11/12) * x

Now, we can solve for x by multiplying both sides of the equation by (12/11):

[tex](12/11) \times $38.50 = x[/tex]

$42.00 = x

Therefore, the cost of the pass is $42.00.

Now we can find the costs of the burger and the souvenir:

The burger costs 1/4 of the souvenir, so its cost is (1/4) * $42.00 = $10.50.

The souvenir costs 2/3 of the pass, so its cost is (2/3) * $42.00 = $28.00.

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Find the determinant of a 10 x 10 matrix which had a 2 in each main diagonal entry and zeros everywhere else.

Answers

The determinant of the given 10 x 10 matrix is 1024.

What is a matrix?

A matrix is described as  a rectangular array or table with rows and columns and numbers, symbols, or expressions that is used to represent a mathematical object or a property of such an object.

We apply the knowledge that the determinant of a diagonal matrix is the product of its diagonal entries in order to find the determinant of a 10 x 10 matrix with 2s on the main diagonal and zeros elsewhere,

Determinant = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

We then calculate for the product and have:

Determinant = [tex]2 ^ 1^0[/tex] = 1024

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Suppose the density field of a one-dimensional continuum is
ρ = exp[cos(t − x)]
and the velocity field is
v = sin(t − x).
1. What is the flux of material past x = 0 as a function of time?

Answers

The flux of material past x = 0 is zero for all times.

What is the flux of material?

The flux of material past x = 0 can be calculated by integrating the product of density and velocity over the spatial domain.

This is calculated as;

Φ = ∫ ρv dx

ρ = exp[cos(t − x)]

v = sin(t − x)

where;

ρ is densityv is the velocity

The flux of material past x = 0 is calculated as;

Φ = ∫ exp[cos(t − x)] sin(t − x) dx

sin(t − x) = an odd functionexp[cos(t − x)] = even function

∫ exp[cos(t − x)] sin(t − x) dx, is the integration of an odd function over a symmetric interval [-π, π] which is zero.

Φ = ∫ exp[cos(t − x)] sin(t − x) dx = 0

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A small business owner is applying for a small business loan and has been approved for a $50,000 loan with 5.25% annual interest. The first loan is a simple interest rate, the second loan compounds interest quarterly, and the third loan compounds interest continuously. The small business owner plans to pay off the loan in 3 years and 8 months.

Part A: Determine the total value of the loan with the simple interest. Show all work and round your answer to the nearest hundredth.

Part B: Determine the total value of the loan with the quarterly compounded interest. Show all work and round your answer to the nearest hundredth.

Part C: Determine the total value of the loan with the continuously compounded interest. Show all work and round your answer to the nearest hundredth.

Part D: Using the values from Parts A, B, and C, explain which loan option is the best choice for the small business owner.

Answers

Part A: The total value of the loan with simple interest is $59,660.50.

Part B: The total value of the loan with quarterly compounded interest is $60,357.91.

Part C: The total value of the loan with continuously compounded interest is $60,441.82.

Part D: The best choice for the small business owner is the loan with simple interest, as it has the lowest total value and thus the lowest cost to repay.

Part A:

To calculate the total value of the loan with simple interest, we can use the formula:

[tex]Total value = Principal \times (1 + interest rate \times time)[/tex]

Where,

Principal = $50,000

Interest rate = 5.25% = 0.0525

Time = 3 years and 8 months = 3.67 years.

[tex]Total $ value = $50,000 \times (1 + 0.0525 \times 3.67) = $59,660.50[/tex]

Therefore, the total value of the loan with simple interest is $59,660.50.

Part B:

To calculate the total value of the loan with quarterly compounded interest, we can use the formula:

[tex]Total value = Principal \times (1 + (interest rate / n))^{(n \times time) }[/tex]

Where,

Principal = $50,000

Interest rate = 5.25% = 0.0525

Time = 3 years and 8 months = 3.67 years

n = 4 (since interest compounds quarterly)

[tex]Total value = $50,000 \times (1 + (0.0525 / 4))^{(4 \times3.67) } = $60,357.91[/tex]

Therefore, the total value of the loan with quarterly compounded interest is $60,357.91.

Part C:

To calculate the total value of the loan with continuously compounded interest, we can use the formula:

[tex]Total value = Principal \times e^{(interest rate \times time)}[/tex]

Where,

Principal = $50,000

Interest rate = 5.25% = 0.0525

Time = 3 years and 8 months = 3.67 years

[tex]Total value = $50,000 \times e^{(0.0525 \times 3.67) } = $60,441.82[/tex]

Therefore, the total value of the loan with continuously compounded interest is $60,441.82.

Part D:

From the calculations in Parts A, B, and C, we can see that the loan with continuously compounded interest has the highest total value of $60,441.82.

This is followed by the loan with quarterly compounded interest with a total value of $60,357.91, and finally the loan with simple interest with a total value of $59,660.50.

Therefore, the best choice for the small business owner would be to take the loan with simple interest, as it has the lowest total value and thus the lowest cost to repay.

However, if the small business owner is willing to pay a higher cost for the loan, they could consider the loan with quarterly or continuously compounded interest, which have higher total values.

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Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2

Answers

The equivalent equations that have the value x = 3 are:

2 + x = 5, x + 1 = 4, and (-5) + x = -2.

Equations are considered equivalent if they have the same solution(s). In other words, if you solve each equation for the variable, you should end up with the same value(s).

Let's look at the options given:

2 + x = 5: This equation can be solved by subtracting 2 from both sides, leaving x = 3.

x + 1 = 4: This equation can be solved by subtracting 1 from both sides, leaving x = 3.

9 + x = 6: This equation can be solved by subtracting 9 from both sides, leaving x = -3.

x + (-4) = 7: This equation can be solved by adding 4 to both sides, leaving x = 11.

-5 + x = -2: This equation can be solved by adding 5 to both sides, leaving x = 3.

So, we can see that the first, second, and fifth equations are equivalent since they all simplify to x = 3. The third and fourth equations are not equivalent to any of the other equations, since they have different solutions.

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A group of 6 students was asked, "How many hours did you watch television last week?" Here are their responses.
20,4,7,7, 10, 10
Find the median and mean number of hours for these students.
If necessary, round your answers to the nearest tenth.
(a) Median:
(b) Mean:
hours
hours

Answers

Answer: median = 8.5

mean=

9.7

total = 58

Answer:

median=8.5 hours Mean=9.7 hours

Step-by-step explanation:

First you take the values and add them together, find the sum.
20+4+7+7+10+10=x
x=58
now take 58 and divide it by the number of students
58/6=9.66666
the mean would be 9.7 hours since it asks to round to the nearest 10th
and for the median sort it from lowest to highest
4,7,7,10,10,20
now since in the middle are 7 and 10, add those together and divide by 2
10+7=17
17/2=8.5
the median is 8.5

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