An employee put $5,000.00 in a retirement account that offers 9% interest compounded annually. The employee makes no additional deposits or withdrawals. Which amount is closest to the interest the employee will have earned at the end of 5 years?

Answer:

Step-by-step explanation:

1

. Start by making a "let statement."

Let

x

represent the weight of the package.

2

. Create an algebraic expression.

5

7

x

=

40.5

i

pounds

3

. Isolate for

x

by dividing both sides by

5

7

.

5

7

x

÷

5

7

=

40.5

i

pounds

÷

5

7

4

. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.

5

7

x

⋅

7

5

=

40.5

i

pounds

⋅

7

5

5

. Solve for

x

.

5

⋅

7

7

⋅

5

x

=

40.5

⋅

7

5

i

pounds

x

=

∣

∣

∣

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

56.7

i

pounds

a

a

∣

∣

−−−−−−−−−−−−−−−

Answer:

1,050 miles

Step-by-step explanation:

First: Convert any mixed numbers to fractions.

Then your initial equation becomes: Applying the fractions formula for multiplication,

2/14×200/1

Applying the fractions formula for multiplication,

21×200

 4×1

=42004

Simplify

1,050

Answer:

Deon spent 60% of his money on lunch.

Step-by-step explanation:

Answer:

The height of the cone-shaped cup is 6 inches and the diameter at the top is 3 inches. ... To find the volume of the cone, you use a formula similar to that of a pyramid, ... \begin{align*}V & = \frac{1}{3} \pi r^2 h \\ V & = \frac{1}{3} (3.14)(5^2 )(7) ... The answer is the volume of the cone is 183.16 cubic inches.

Step-by-step explanation:

i think thats it it was right on gogle

12 cups= 3 quarts

there ya goo

1.) No

2.) No

3.) Yes

4.) Yes.

Answer:

100feet

Step-by-step explanation:

Given the height of the object modelled by the equation

y = -16x^2 + 48x + 64

We can find the maximum height reached by the object since we are not told what to find.

The velocity of the object at its max height is zero.

dy/x = 0

dy/dx = -32x + 48

0 = -32x + 48

32x = 48

x = 48/32

x = 1.5secs

get the max height by substituting x = 1.5 into the given equation:

y = -16x^2 + 48x + 64

y = -16(1.5)^2 + 48(1.5)+ 64

y =  -36+72+64

y = 100 feet

Hence the maximum height reached by the object is 100feet

Answer:

For your first question, the solution is x> -12

Step-by-step explanation:

First, expand 2(-3x+1), writing it as -6x+2

Next, subtract both sides by 2;

-6x + 2 - 2 < -5x + 14 - 2

Then, we simplify;

-6x < -5x + 12

Next, add both sides to 5x;

-6x + 5x < -5x + 12 + 5x

Simplify;

-x<12

Then, multiply both sides by -1, using reverse of inequality;

(-x)(-1)>12(-1)

Finally, simplify;

x>-12

Answer:

The answer to your second question is x is greater than or equal to -12.

Step-by-step explanation:

First, multiply both sides by -1, reversing the inequality;

(-2(3x+15))(-1) greater than or equal to 42(-1)

Next, simplify;

2(3x+15) greater than or equal to -42

Then, divide 2 from both sides;

2(3x+15/2 greater than or equal to -42/2

Next, simplify;

3x + 15 greater than or equal to -21

Then, we subtract both sides by 15;

3x+15-15 greater than or equal to -21-15

Simplify;

3x greater than or equal to -36

Next, divide 3 from both sides;

3x/3 greater than or equal to -36/3

Finally, simplify;

x greater than or equal to -12

I hope we helped you answer your question.

Answer: 22 1/2 cups

Step-by-step explanation:

multiply 2 1/4 (2.25) by 10 and you get 22.5 or 22 1/4 cups

Answer:

-13

Step-by-step explanation:

Answer:

t = -13

Step-by-step explanation:

2.6 = -0.2t         Equation

2.6 / -0.2 . = -0.2t/-0.2          Divide -0.2 on both sides

t = - 13       Simplify

Answer:

GHC

Step-by-step explanation:

Answer:

the co-interior angle of angle AGH is Angle GHC.

17/20 = t + (- 13/20)

t = 17/20 + 13/20

t = 30/20

t = 1.5

Answer:

The bridge is 80 feet long

Step-by-step explanation:

We will use the ratio method to solve the question

∵ The engineer used the scale 3 inch = 40 feet

∴ The scale drawing is ⇒ 3 inche :  40 feet

∵ The drawing length of the bridge is 6 inches

→ By using the ratio method

→  inch :  feet

→  3      :  40

→  6      :  x

→ By using cross multiplication

∵ 3 × x = 6 × 40

∴ 3x = 240

→ Divide both sides by 3

∴ x = 80

∵ x represents the actual length of the bridge

∴ The bridge is 80 feet long

Answer:

4:3

4 being triangles and 3 being circle.

Essentially, for every 4 triangles there are 3 circles.

Let me know if you need more help, :)

The ratio of number of circles to the total number of shapes is 3 : 7

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the total number of triangles be = A

Now , the value of A is 8

Let the total number of circles be = B

Now , the value of B is 6

So , the equation will be

The total number of shapes = total number of triangles + total number of circles

The total number of shapes = 8 + 6

The total number of shapes = 14 shapes

Now , the ratio of total number of circles to total number of shapes is =

total number of circles : total number of shapes

Ratio of total number of circles to total number of shapes = 6 : 14

On simplifying the ratio , we get

Ratio of total number of circles to total number of shapes = 3 : 7

Hence ,

The ratio of number of circles to the total number of shapes is 3 : 7

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ2

Answer:

A haircut costs $31

Coloring hair costs $93

Step-by-step explanation:

h = haircut

c = color

First equation: 1h + 2c = 217

Second equation: 2h + 1c = 155

Solve using elimination:

First, multiply both the equations so that they cancel the h's out:

First equation:

-1(2h + 1c = 155)

-2h - 1c = -155

Second equation:

2(1h + 2c = 217)

2h + 4c = 434

Then, put the equations together, and solve:

2h + 4c = 434

-2h - 1c = -155

3c = 279

c = 93

Find h:

2h + 1c = 155

2h + 1(93) = 155

2h + 93 = 155

2h = 62

h = 31

Hope this helped!

Answer:

I got this! Basically, the instructions say 12 gallons per 3 minutes. So you plug in the 12/3 to find the ratio of how many gallons per 1 minute.

Step-by-step explanation:

So, for the chart you just mulitply and evauluate

Time (min)           | 2 |  3 |  4 |   5  |   6 |

Water used (gal) | 8 | 12 | 16 | 20 | 24 |

Answer:

∠1 = 116

Step-by-step explanation:

Find the inner angle first, the inner angle will be represented with x, also a triangle is 180 degrees, so:

57 + 59 + x = 180

116 + x = 180

subtract 116 from both sides

x = 64

So now u have the inner angle, and a straight line is also 180 degrees, so:

64 + ∠1 = 180

subtract 64 from both sides

∠1 = 116

Answer: it’s all in the pictures hope this helps!!:)

Step-by-step explanation:

Answer:

x=-4, y=1

Step-by-step explanation:

Answer:

$65

Step-by-step explanation:

Given

Percentage discount = 20%

Equivalent amount saved = $13

Let the original price of the product be x

To get x;

20% of x  = 13

0.2x =  13

0.2x  = -13

0.2 = 13

x = 13/0.2

x = $65

Hence the original price of the product is $65

Answer:

1/2 mile

Step-by-step explanation:

.75 mile /1.5 sections = .5 mile/section

Answer:

(0,-2) , (2,1) , (4,4)

Step-by-step explanation:

those are the points, now connect then with a line

Step-by-step explanation:

multiply all the numbers by 4 I think except for the exponent

Answer:

i-i13/2 hope this helps

Step-by-sitep explanation: