Joshua is going to invest $680 and leave it in an account for 19 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Joshua to end up with $1,680?

Answer: 2

Step-by-step explanation:

3 + 5= 8

8 divided by 4= 2

Answer:

D

Step-by-step explanation:

Because you are simplifying the equation

It will take approximately 1.8 seconds for the phone to hit the ground.

A mathematical statement which includes two sides, namely, left and right hand side consisting of numbers or variables, which are connected by an "equal to" sign is called an equation.

Given in the question that,

Equation representing the situation of the height of the phone in t seconds, is,

h = -16t² + 50

where h is the height in feet and t is the time in seconds.

The phone hits the ground means that the height is 0 there.

Substituting h = 0,

-16t² + 50 = 0

-16t² = -50

t² = 50 / 16

t² = 3.125

t = 1.767 ≈ 1.8 seconds

Hence the time taken is 1.8 seconds to the nearest tenth.

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Q2:

Answer=170.8 sq.ft

Step-by-step explanation:

CCC and I have a very different view on the situation than the one I have been using for me since 6AM when you have been in the same situation for me and my

The equation that represents the total score points will be y = - (4/34)x + 49.58.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\\[/tex]

The two points are (107, 37) and (73, 41).

Let 'x' be the number of minutes and 'y' be the total score. Then the equation is given as,

(y - 41) = [(41 - 37) / (73 - 107)](x - 73)

y - 41 = - (4/34)(x - 73)

y = - (4/34)x + 49.58

The equation that represents the total score points will be y = - (4/34)x + 49.58.

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Answer: I’m pretty sure the answer is d

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Breakeven quantity are the number of  units produced and sold at which net income is zero

Breakeven quantity = fixed cost / price – variable cost per unit

Fixed costs are costs that do not vary with output. e,g, rent, mortgage payments

If production is zero or if production is a million, Mortgage payments do not change - it remains the same no matter the level of output.  

Hourly wage costs and payments for production inputs are variable costs

Variable costs are costs that vary with production

fixed cost = $2450

Variable cost = $75

price = $145

(2450) / (145 - 75) = 35

Step-by-step explanation:

Three coordinates of a Rhombus is given to us. And the fourth coordinate is D(p,q) . Weneedtofind the value of p and q . We know that the diagonals of Rhombus bisect each other at right angles . So lets find the midpoint.

• Midpoint of AC :-

[tex]\tt\to Midpoint_{(AC)}= \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\tt\to Midpoint_{(AC)}= \bigg( \dfrac{1+7}{2},\dfrac{2+0}{2}\bigg)\\\\\tt\to Midpoint_{(AC)}= \bigg(\dfrac{8}{2},\dfrac{2}{2}\bigg)\\\\\tt\to \boxed{\orange{\tt Midpoint_{(AC)}= (4,1)}}[/tex]

_______________________________

• Midpoint of BD :-

[tex]\tt\to Midpoint_{(BD)}= \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\tt\to \boxed{\orange{\tt Midpoint_{(BD)}= \bigg( \dfrac{2+p}{2},\dfrac{q-5}{2}\bigg)}}[/tex]

_______________________________

Now since these two coordinates must be equal, therefore ,

[tex]\tt\to \bigg( \dfrac{2+p}{2},\dfrac{q-5}{2}\bigg)= (4,1)\\\\\tt\to \dfrac{2+p}{2}=4 \qquad and \qquad \dfrac{q-5}{2}=1 \\\\\tt\to 2 + p = 8 \qquad and \qquad q-5 = 2 \\\\\tt\to p = 8 -2 \qquad and \qquad q = 2 +5 \\\\\tt\to\boxed{\orange{\tt (p,q) = (6,7) }}[/tex]

Answer:

Step-by-step explanation:

Correct choice is D

A denotes the angle that faces side a, and B denotes the angle that faces side b. To solve for b, we obtain: b = a / sin(B) (A)

A geometric shape known as an angle is created when two rays or line segments come together to form its vertex. The two rays or line segments are known as the angle's sides. Angles are used to describe the orientation, direction, and position of lines and forms in geometry. They are commonly measured in degrees or radians. The magnitude of an angle can range from 0 degrees (representing no rotation) to 360 degrees depending on how much the two sides or rays are rotating (corresponding to a full rotation).

given

We may utilise the Law of Cosines to determine the potential values of U:

A2 + B2 - 2ab cos = c2 (C)

where a and b are the lengths of the other two sides, and c is the length of the side that faces angle C. We'll write c for the length of side SU and a for the length of side ST.

Based on the facts provided, we can:

a=630 inches

b = u (unknown) (unknown)

C = ∠T = 7°

We can apply the Law of Sines to determine the length of b:

B = a / sin = b / sin(B) (A)

where A denotes the angle that faces side a, and B denotes the angle that faces side b. To solve for b, we obtain: b = a / sin(B) (A) .

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Answer:

Part A

The required inequality is;

y = 50 - 2 × x  ≥ 20

Please find attached the graph of the inequality created with Microsoft Excel

Part B

The number of weeks she can withdraw is less than or equal to 15 weeks

Step-by-step explanation:

The given parameters are;

The amount Kate has in her savings account at the beginning of the summer = $50

The least amount she wants to have in the account at the end of the summer = $20

The amount she withdraws each weak from the account = $2

Part A

Let 'x' represent the number of weeks she can withdraw money, we have;

The required inequality that gives the number of weeks she can withdraw money is given as follows

y = 50 - 2 × x

y ≥ 20

Therefore, the inequality is;

y = 50 - 2 × x  ≥ 20

The graph of the inequality created with Microsoft Excel is attached

Part B

The number of 'x' weeks she can withdraw is;

50 - 2 × x  ≥ 20

- 2 × x  ≥ 20 - 50 = -30

x ≤  -30/(-2) = 15

The number of weeks she can withdraw is x ≤ 15 weeks.

Answer:

Step-by-step explanation:

x is the number of miles driven, and I'm assuming that's supposed to say that he plans on driving 500 miles per day and has $210 to spend. We need a cost equation for his trip. $68.64 is the flat fee the company charges regardless of how many miles, x, are driven. If they charge $.12 per mile, that's the rate per mile of the equation which is the same thing as the slope of the linear equation. The cost equation is

y = .12x + 68.64

If he has $210 to spend, let's see how many miles he can go on that by subbing in 210 for y:

210 = .12x + 68.64 and

141.36 = .12x so

x = 1178

He can drive a total of 1178 miles with $210. If he drives 500 miles per day, 1178/500 = 2.356 days. So depending upon when he has to return the car and assuming it's in the morning, he can keep the car for 2 full days and stay within his budget.

Answer:

The LCM of 9, 12, and 24, is 72.  

Step-by-step explanation:

To find the answer you must figure out the factors of each number, and see which factor has the same number.  

Factors of 9:         Factors of 12:        Factors of 24:

       9                            12                          24

       18                          24                          48

       27                          36                         72

       36                          48

       45                          60

       54                          72

       63

       72

When we look at all these factors, none of them have the same number except 72.  Since all of these factors have 72 in them, this is the LCM of 9, 12, and 24.

Answer:

72

Step-by-step explanation:

9x8 = 72

12x6=72

24x3=72

Answer:

I don´t know how to help

Step-by-step explanation:

There are no choices

Answer:

Stanley needs 31 feet and 2 inches of fencing.

Step-by-step explanation:

In order to answer this problem, you need to find the perimeter of the dog run.

Since: [tex]P=2(l+w)[/tex]

and [tex]l=149[/tex] inches & [tex]w=56[/tex] inches

Plug in what we know :

[tex]P=2(149+56)[/tex]

and solve:

[tex]P=410[/tex] inches

The dog run has a perimeter of 410 inches.

However, now we need to subtract 36 inches since the gate doesn't need fencing.

[tex]410-36=374[/tex] inches.

The dog run needs 374 inches of fencing.

In order to find out how many feet of fencing that is, divide it by 12.

[tex]\frac{374}{12}[/tex] = 31.16666667 OR [tex]31\frac{2}{12}[/tex], meaning 31 feet and 2 inches.

Answer:

31 feet and 2 inches of fencing :))<3

Step-by-step explanation:

Answer:

The function rule is f(x)=2x+3. It cut the three out.

Step-by-step explanation: cut the three out

Answer: 3rd brand.

Step-by-step explanation:

1st brand:

6 oz cost $1.25

The amount per ounce will be:

= $1.25/6

= $0.21

2nd brand:

8 oz cost $1.33

The amount per ounce will be:

= $1.33/8

= $0.17

3rd brand:

12 oz cost $1.50

The amount per ounce will be:

= $1.50/12

= $0.125

4th brand:

16 oz cost $2.10

The amount per ounce will be:

= $2.10/16

= $0.13

From the calculation, the 3rd brand of orange juice is the better but as it's cheaper than others.

Answer:

x=-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-3)/(-1-(-1))

m=3/(-1+1)

m=3/0

slope is undefined.

x=-1

Answer:

ITS 5 UNITS I LEARNED ITS EZ

Step-by-step explanation:

Answer:

x = 9/2, y = -5/2

Step-by-step explanation:

5x + y = 20

10x - 2y = 50

There's multiple ways to do this, but I will solve using substitution.

Isolate variable y on the first equation.

5x + y = 20

y = 20 - 5x

Substitute the value of y for 20 - 5x in the second equation.

10x - 2(20 - 5x) = 50

Use distributive property:

10x - 40 + 10x = 50

Combine like terms:

20x - 40 = 50

20x = 90

x = 90/20

x = 9/2

Substitute x for 9/2 and solve for y:

y = 20 - 5(9/2)

y = 20 - 45/2

y = 40/2 - 45/2

y = -5/2

Answer:

x =9/2, y = -5/2

Step-by-step explanation:

5(9/2) + -(5/2)= 20

45/2 + -5/2 = 20

40/2 = 20

10(9/2) - 2(-5/2) = 50

90/2 + 10/2 = 50

45 + 5 = 50

Answer:

10.3

Step-by-step explanation:

Use the pythagorean theorem.

3.9^2 + x^2 = 11^2

x^2 = 105.79

x = 10.3

Answer:

288 degrees celcius

Step-by-step explanation:

48 x 6 is 288

Answer:

The total change in temperature was 288* degrees.

Step-by-step explanation:

6 x 48 = 288

Answer:

$100 is less than or equal to x

Answer:

25×124/100=31

120×175/100=210

35×160/100=56

72×165/100=118.8

Answer:

5) 31

6) 210

7) 14

8) 25.2

Step-by-step explanation:

25+6=31

120+90=210

35-21=14

72-46.8=25.2

Answer:

A = 9r^2

Step-by-step explanation:

r=√A/3

multiply both sides by 3

3r = √A

Square both sides

3^2 * r^2 = A

9r^2 = A

Answer:

C) y=4x-5

Step-by-step explanation:

Explanation:

Recall that the general point-slope form is [tex]y - y_1 = m(x - x_1)[/tex] where m is the slope and [tex](x_1, y_1)[/tex] is the point the line goes through. We see that the 2 and the m match up, so m = 2 is the slope.

Side note: We can rewrite that given equation into y - (-5) = 2(x - (-1)) to see that the line goes through the point (-1, -5)

Answer:

C: 2

Step-by-step explanation:

y + 5 = 2x + 2 (distribute 2)

y = 2x -3 (subtract 5 from both sides)

2x means: slope times x

Hey there!

“4y + 3x”

If x = 5 and y = -3, then substitute it into the equation

4(-3) + 3(5)

4(-3) = -12

-12 + 3(5)

3(5) = 15

-12 + 15

= 3

Answer: 3

Good luck on your assignment and enjoy your day!

~Amphitrite140:)

Answer:

its c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

First of all we can simplify the the first therm because a property of power says that we can simplify a power of power by multiply the exponents

a^4b^8c^2

For the same property 2c^5 becomes 8c^15

now we have

(a^4b^8c^2)(6a^3b)(8c^15)/4a^6b^12c^3

if we simplify the numbers we can obtain

(a^4b^8c^2)(6a^3b)(2c^15)/a^6b^12c^3

If we simplify the parameters we can obtain

12ac^14/b^3