An account earns simple interest.

$1500 at 4% for 5 years

a. Find the interest earned.



b. Find the balance of the account.

help

Answer:

1:5

5

125

2

Step-by-step explanation:

I'm not too sure how to explain this, if you have a question just ask

x/9>12

x>12×9

x>108

This is your answer

Answer:

The given equation has one solution.

Step-by-step explanation:

Given equation is:

(x+12) = 4x-1

We will solve the equation to check how many solutions it has.

x+12 = 4x-1

Adding 1 on both sides

x+12+1 = 4x-1+1

x+13 = 4x

Subtracting x from both sides

x-x+13=4x-x

13 = 3x

x = 13/3

Hence,

The given equation has one solution.

Answer:

no solution

Step-by-step explanation:

Given

6(x - 4) = 6x + 4 ← distribute left side

6x - 24 = 6x + 4 ( add 24 to both sides )

6x = 6x + 28 ( subtract 6x from both sides )

0 = 28 ← not possible

This indicates the equation has no solution

Answer:

4 liters

Step-by-step explanation:

simplify 2/6 = 1/3

Multiply 1/3 times the 12 bottles

1/3 * 12

12/3

Simplify

4

Answer:

4 liters of soda.

Step-by-step explanation:

2/6⋅12=24/6

24/6=4

Therefore, your answer is 4 liters.

Answer:

[tex]Aaron=1188[/tex]

[tex]Beth=1782[/tex]

[tex]Charlie=2970[/tex]

Step-by-step explanation:

From the question we are told that

Ratio 6:9:15

Total amount to e shared N=£5940

Generally the Ratio can divide the Total amount mathematically as follows

Ratio

6:9:15/3=2:3:5

Sum of ratio

2+3+5=10

For Aaron

[tex]A=\frac{2}{10} *5940[/tex]

[tex]A=1188[/tex]

For Beth

[tex]B=\frac{3}{10} *5940[/tex]

[tex]B=1782[/tex]

For Charlie

[tex]C=\frac{2}{10} *5940[/tex]

[tex]C=2970[/tex]

Check answer

[tex]A+B+C=5940\\1188+1782+2970=5940[/tex]

Answer:

ΔASA ≅ ΔASA

Step-by-step explanation:

Answer:

164 degrees

Step-by-step explanation:

The measure of the individual internal angle in a polygon is;

(n-2)180/n

n = 22

So we have;

(22-2)180/22

= (20 * 180)/22

= 163.64 degrees

To the nearest whole number, this is 164

Answer:

-5/6

Step-by-step explanation:

Using the slope formula we can easily find the slope

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

m=(-1-4)/(10-4)

m=-5/6

Answer:

Commision may be defined as a percentage cut which an employee, broker, vendor, retailer or other persons within a sale chain receive from an employer or production firm for selling a good or offering a successful service based on agreed terms by both parties. ;

$18700

Step-by-step explanation:

Given :

Commision pattern :

5% on first $200,000

6% on remaining amount

Amount of commission on $345000

0.05 * 200000 = 10,000

0.06 * (345000 - 200000) = 8700

Total commission :

10,000 + 8700 = 18,700

Answer:

5

Step-by-step explanation:

15/3=5

Answer:

they are perpendicular because they have slopes that are negative reciprocals

Step-by-step explanation:

th

The statement that best explains the relationship between lines FG and HJ is "They are not perpendicular because their slopes are not negative reciprocals."

The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

To find the slope of a line passing through two given points, we use the formula:

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

where (x1, y1) and (x2, y2) are the coordinates of the two points.

For line FG, the two points are F(-4, 1) and G(0, -2):

slope of FG = (-2 - 1) / (0 - (-4)) = (-2 - 1) / 4 = -3/4

For line HJ, the two points are H(-4, -2) and J(0, 4):

slope of HJ = (4 - (-2)) / (0 - (-4)) = 6/4 = 3/2

The slopes of lines FG and HJ are not equal. However, we can see that they are not negative reciprocals of each other:

slope of FG = -3/4

slope of HJ = 3/2

Therefore, lines FG and HJ are not perpendicular because their slopes are not negative reciprocals of each other.

To learn more about the slope;

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Answer: 9 months.

Step-by-step explanation:

Simple interest = Principal x rate(in decimal)  x Time(in years)

Given: Principal = $15,000 , rate = [tex]5\dfrac12\%=\dfrac{11}{2}\%= 5.5\%= 0.055[/tex]

Interest =  $618.75

let t= time

Then,

[tex]618.75=15000\times 0.055\times t\\\\\Rightarrow\ t=\dfrac{618.75}{15000\times0.055}\\\\\Rightarrow\ t= 0.75\ or\ t=\dfrac34\ year[/tex]

1 year =12 months

[tex]\dfrac34\ year=\dfrac34\times12 = 9\ months[/tex]

Hence, it will take 9 months.

Answer:

y=4/5x-1 is the answer (A)

Step-by-step explanation:

Answer: Step-by-step explanation:

the first one would be your answer (y= 4/5x -1)

because the y intercept is -1 and the rise if 4 and run is 5 and that would be your slope.

Answer:

y = -8x - 8

Step-by-step explanation:

Add -8x on both sides to get -y = 8x + 8 and flip the y sign on the left to get your slope function which is y = - 8x - 8.

To graph the function, you would need to put (0, -8) as your y-intercept, and each unit will go down 8 units when you add 1.

Answer:

y=8x+8

Step-by-step explanation:

Just rewrite the problem so it's in y=mx+b format then it's easy to graph

Remember the y intercept is 8 because when x=0  y=8 and the slope is 8 so go up 8 and right 1

Answer:

slope = - 2, point on line = (- 1, 3 )

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = - 2(x + 1) ← is in point- slope form

with slope m = - 2 and (a, b ) = (- 1, 3 )

The slope of equation y−3=−2(x+1) is -2.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

y−3=−2(x+1)

Using Slope- Intercept form

y= mx + b

So, the slope for the equation is -2.

Hence, the slope is -2.

Learn more about slope here:

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Answer:

(a+9)(a-9)

Step-by-step explanation:

Both terms are perfect squares, use the difference of squares formula

a^2-b^2=(a+b)(a-b) where a=a and b=9

Answer:

[tex]\displaystyle 9[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle 8 + (7 + 1)^2 \div 4 \cdot (\frac{1}{2})^4[/tex]

Step 2: Evaluate

Answer:

55 is the answer I think so

Answer: 55

Step-by-step explanation:

Step One: Add: 2 + 3 = 5

Step Two: Multiple: 11 * the result of step No. 1 = 11 * 5 = 55

Answer:

the answer is A

Step-by-step explanation:

Answer: y=2x

Step-by-step explanation: I'm 99% sure I'm right.

Answer: 8.9 m, 895 cm, 900 cm, 9.1 m, 0.0092 km, 12000 mm

===========================================================

Explanation:

To be able to compare these various measurements, all of them must be the same unit. Let's convert each measurement to meters. If the measurement is already in meters, then we'll move onto the next measurement.

Here are some useful conversion factors

With those conversion factors in mind, we get the following conversions:

Here is the summary of the conversions:

The original list of

{900cm, 8.9m, 895cm, 9.1m, 12000mm, 0.0092km}

becomes this equivalent list

{9 m, 8.9 m, 8.95 m, 9.1 m, 12 m, 9.2 m}

in that exact order.

After converting everything to meters, we can then sort the values from smallest to largest. Doing so gets us this sorted list of

{8.9 m, 8.95 m, 9 m, 9.1 m, 9.2 m, 12 m}

Then you convert back each measurement to its original form

{8.9 m, 895 cm, 900 cm, 9.1 m, 0.0092 km, 12000 mm}

which is the final answer.

Answer:

5400

Step-by-step explanation:

you would measure the length and width. Multiply the length by the width to get the area, and add twice the length to twice the width to get the perimeter

9514 1404 393

Answer:

  62°

Step-by-step explanation:

The measure of the external angle where the secants meet is half the difference of the arcs they subtend.

  ∠A = (DE - BC)/2

  2×∠A = DE -BC

  DE = BC + 2×∠A

  DE = 38° +2(12°)

  arc DE = 62°

Answer:

91

Step-by-step explanation:

11*8=88 +3=91

Answer: The answer would be 91

Step-by-step explanation: since it's originally f(x)=11x+3 and x=8

then you plug in for X.

f(8)=11(8)+3=91

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