An employee put $5,000 in a retirement account that offers 9% interest compounded annually. The employee makes no additional deposits or withdrawals. How much interest will the employee have earned at the end of 5 years. Make sure to round your answer to the hundredths.

Answers

Answer 1

Answer:

$2,693.12 will the employee have eared at the end of 5 years.

Step-by-step explanation:

The formula of compound interest:

[tex]A=P(1+r)^n[/tex]

[tex]I[/tex] = A-P

A= The amount in the account after n years

P= Principal

r= rate of interest annually

n= time in years.

An employee put $5,000 in retirement account that offer 9% interest compounded annually.

Here P=$5,000, r=9%=0.09, n= 5 years

[tex]A=5,000(1+0.09)^5[/tex]

   =$7,693.12

The interest = A-P

                   =$(7,693.12-5,000)

                   =$2,693.12

$2,693.12 will the employee have eared at the end of 5 years.


Related Questions

Help!!
How many solutions does this system have?

y = 3/4x - 5
3x+ 4 y= -20
one
two
an infinite number
no solution

Answers

Answer:

one solution

Step-by-step explanation:

y = 3/4x - 5

3x+ 4 y= -20

Substitute the first equation into the second equation

3x+ 4 (3/4x -5)= -20

Distribute

3x +3x - 20 = -20

6x -20 = -20

Add 20 to each side

6x -20+20 = -20+20

6x = 0

x=0

We need to find y

y = 3/4x -5

y =0-5

y = -5

There is one solution

Answer:

A) one

Step-by-step explanation:

y = 3/4x - 5

3x+ 4 y= -20

3x + 4(3x/4 - 5) = -20

3x + 3x - 20 = -20

6x = 0

x = 0

y = -5

One solution: (0,-5)

The data shows the ages of people in a restaurant.

20, 25, 5, 28, 66, 62, 21, 28, 34, 38, 40, 10, 12, 15, 45, 50, 28



Create a histogram of this data.

To create a histogram, hover over each age range on the x-axis. Then click and drag up to plot the data.

Answers

Answer:

Hi! I added a picture.

Tell me if you need help!

Hope this help, have a great day, and Stay Safe!

Answer:

heres mine for a math unit test!

have a wonderful day!!

What is the area of the triangle?
6 ft
b=3.6 ft
h=4.8 ft

A=8.64 ft?
B=10.8 ft
C=14.4ft?
D=17.28 ft?

Answers

The right answer is of option A.

Look at the attached picture

Hope it will help u..

Answer:

A = 8.64ft

Step-by-step explanation:

Use the triangle formula. Do:

A = hb/2 (A = area, h = height, b = base) after using this formula you should end up with 8.64ft

Hakeem is on a tour bus in Paris with his family he sees l'arc de triomphe at an angle of 34°. if the Arc is 162 feet tall, how far away is the bus? round to the nearest tenth.
a. 134.4 ft
b. 90.6 ft
c. 240.2 ft
d. 109.3 ft

Answers

Answer:

Side y = 109. 3

Step-by-step explanation:

Step 1 The two sides we are using are Opposite (y)

and Adjacent (162).

Step 2 SOHCAHTOA tells us to use Tangent.

Step 3 Put our values into the tangent function:

tan 34° = Opposite/Adjacent

= y/162

Step 4 Solve:

Start with: tan 34° = y/162

Swap: y/162 = tan 34°

Multiply both sides by 162: y = 162 tan 34°

y = 109.27

 y = 109.27 (to 2 decimal places)

Side y = 109. 3

What was the total cost?

Answers

Answer:

The total cost = $13.2

Step-by-step explanation:

Cost of per kg spherical beads =$ 3

Cost of 4.4 kg spherical beads =$ 3× 4.4= $13.2

Answer:13.2$

Step-by-step explanation:


what is ordering fraction and give me example please

Answers

Answer:

Ordering fractions means putting them in order technically. Such as from least to greatest or greatest to least.

Example:

6/8, 12/18, 15/19

This is a least to greatest example.

Answer: Arranging either in increasing or decreasing order.

Basically it's like Greatest to Less, and Less to Greatest.

Greater to Less

[tex]4/5 > 6/8 > 2/4 > 1/4[/tex]

Less to Greater

[tex]1/4 < 2/4 < 6/8 < 4/5[/tex]

This is just like putting ordinary numbers Greatest to Less or Less to Greatest.

Family A and Family B both have 8 people in their family.
The ages of each member is listed below.
Family A: 35, 5, 42, 9, 16, 3, 8, 12
Family B: 1, 5, 29, 3, 7, 35, 6, 9
Which statement is correct about the variability of the two
families?
a. The variability is the same for both Family A and Family B
because they have the same mean absolute deviation
b. The variability for Family A is greater because the mean is
greater for Family A
c. The variability for Family B is greater because the mean
absolute deviation is greater for Family
d. There is not enough information to determine the variability,

Answers

Answer: the answer B

Step-by-step explanation:because it has higher smaller numbers than B

This is about variability.

Option B is correct.

Variability is just a measure of the consistency of  the values in a given data .

Let's find the mean of both families data set;

Family A: 35, 5, 42, 9, 16, 3, 8, 12

Mean of Family A ages = (35 + 5 + 42 + 9 + 16 + 3 + 8 + 12)/8 = 16.25

Mean of Family B ages = (1 + 5 + 29 + 3 + 7 + 35 + 6 + 9)/8 = 11.875

Now, the higher the mean, the higher the variance and thus the higher the variability.

Thus, we can conclude that; The variability for Family A is higher because its' mean is higher.

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Read the passage from "The Walrus and the Carpenter."
The sun was shining on the sea,
Shining with all his might:
He did his very best to make
The billows smooth and bright —
And this was odd, because it was
The middle of the night.

Which of the elements of poetry best contribute to the sound of the poem?



A.) The sound creates personification.

B.) The sound contributes to the poem's theme.

C.) The sound makes the poem sillier.

D.) The sound makes the poem more formal.

Answers

Answer: i think the awnser is c

Step-by-step explanation: hope it helps

Answer:

the answer is The sound makes the poem more formal AKA C I hope this helps.

Please help me... Everyone is getting this wrong...

Answers

i don’t see anything there, i think my phone might be broken?
angle 4 is 137, angle 3 is 43. Your friend might’ve just mixed up the angles and mislabeled them.

I AM IN DIRE NEED PLEASE SOMEONE ANSWER!!!!!!!!
Which equation represents a proportional relationship between the x and y values?
A) y + 4 = 3x
B) y − 3x = 0
C) y + 5x = 6
D) y + 1/4x = 2

Answers

Answer:

B

Step-by-step explanation:

In a proportional relationship the equation is of the form

y = kx ← k is the constant of proportion

The only equation that can be expressed in this form is

y - 3x = 0 ( add 3x to both sides )

y = 3x ← in proportional form with k = 3

 

Help please, I don’t understand

Answers

Answer:

v = 16.155 m/s

Step-by-step explanation:

[tex]W = 0.5 mv^2 \\ plug \: m = 6 \: and \: w = 783 \\ 783 = 0.5 \times 6 \times {v}^{2} \\ 783 = 3 {v}^{2} \\ {v}^{2} = \frac{783}{3} \\ {v}^{2} = 261 \\ v = \sqrt{261} \\ v = 16.1554944 \\ \huge \red{ \boxed{v = 16.155 \: m {s}^{ - 1} }} \\ [/tex]


Find the missing side length, s.

Answers

Answer:

s=10

Step-by-step explanation:

Multiply the binomials (2x − 4) and (2x − 3). A) 4x2 − 14x + 12 B) 4x2 − 14x − 12 C) 4x2 + 2x − 12 D) 4x2 − 2x − 12

Answers

The right answer is of option A

look at the attached picture

Hope it will help you..

Answer     option A

Step-by-step explanation:

Can someone help me with the first answer please??15 points**

Answers

Answer:

The answer would be 21 because 70% of 30 is equal to 21.

                          Vote me brainliest :) please!

THIS WILL BE 10 POINTS PER Q, SO IF YOU COULD HELP ANSWER THESE ALL, I WOULD LOVE YOU FOREVER :')
1) A bedroom is 10ft by 12f with 8ft high walls
How much would it cost to put wallpaper in this room?
Choices: A) 338.56, B) 438.56, or C) 538.56

2) A kitchen is 12ft by 14ft with 10ft high walls
How much would it cost to put vinyl flooring in this room?
Choices: A) 1,478.40, B) 1,878.20, or C) 1,678.40

3) A bedroom is 10ft by 12ft with 8ft high walls
How much would it cost to put padding and carpet in this room?
Choices: A) 2,295.60, B) 2,095.60, or C) 2,495.60

4) A kitchen is 12ft by 14ft with 10ft high walls
How much would it cost to put wallpaper in this room?
Choices: A) 795.60, B) 895.60, or C) 995.60

Answers

1. C. 538.56

2. A. $1478.40

3. A. $2295.60

4.A.  $795.60

Which is the correct way to model the equation Negative x + 8 = 7 x + (negative 8) using algebra tiles?

Answers

You would have:

1 negative x tile and 8 positive unit tiles on the left side and 7 positive x tiles and 8 negative unit tiles on the right side.

Answer:

1 negative x tile and 8 positive unit tiles on the left side and 7 positive x tiles and 8 negative unit tiles on the right side. is the answer.

Step-by-step explanation:

e d g e 2020

Maria collected r rocks.
​Javier collected twice as many rocks as Maria and Pablo collected 5 less than Javier.

Answers

Answer:

2r-5

Step-by-step explanation:

Answer:

2r-5

Step-by-step explanation:

What is the product?
(-3s +21)(45-6)
A-1252-222
B-1252 +222
C-1252 +8st – 22
D-12s +11st-212​

Answers

The solution to the product of the algebraic expression is: -12s² + 11st - 2t²

How to solve algebraic expressions?

The algebraic expression is given as:

(-3s + 2t)(4s - t)

(-3s + 2t)(4s - t)

Use the foil method to multiply the terms. So, we distribute -3s to (4s - t) and we will also distribute 2t to (4s - t) as well.

-12s² + 3st + 8st - 2t²

Now combine like terms.

-12s² + 11st - 2t²

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Complete question is:

What is the product?

(-3s + 2t)(4s - t)

please help me 20 points!

Answers

Answer:

37.7 is the volume

Step-by-step explanation:

You just need to solve with the formula

(I hope it helps!)

V= π r ² h/3
V= π (3 ²) (4/3)
V= π (9) (4/3)
V= π (12)
V= 37.7 units ³

Which sets can be represented using the Venn diagram below?


Answers

Answer:

There is no Venn Diagram!

Step-by-step explanation:

There is no answer, where is the Venn Diagram?

A= {animals}; B= {mammals} or C

Which equation represents a line with a slope of zero?
y = 2 x
y = negative one-half x + one-half
y = 4
x = negative 5 pPLS URRY

Answers

Answer:

y = 4

Step-by-step explanation:

This is a never changing equation that sets y as 4 no matter what, so it's a horizontal line, a slope of zero.

What is the minimum volume of hot air needed to lift a hot air balloon carrying 800kg

Answers

Answer:

The minimum volume of hot air needed to lift a hot air balloon carrying 800kg

Is 653.1m³

Step-by-step explanation:

This problem bothers on the density of materials in this problem air

Given data

Volume of air V=?

Mass of air m= 800kg

From tables the density of air is

ρ =1.225 kg/m3

Now to solve for the volume we have

ρ=m/v

v=m/ρ

v=800/1.225

Volume v = 653.1m³

The volume of a cone with a height of 6 cm is 8pi cubic cm. Which expression can be used to find r, the radius of the cone?

Answers

Answer:

1/3πr^2h=1/3πr^2(6)

Step-by-step explanation:

Use the cone formula and set it equal to what you have given from the problem.

Answer:

d

Step-by-step explanation:

i just did the quiz and got 100 percent

WC= 15 and CO = 17, what is OW?

Answers

We know that triangle COW is a right triangle by the Tangent to a Circle Theorem.

So, we can use Pythagorean Theorem to find OW.

OW² + WC² = CO²

OW² + 15² = 17²

OW² + 225 = 289

OW² = 64

OW = 8

Final answer:

OW, the length of the side of the right triangle, can be found using the Pythagorean theorem. Substituting the given values into the formula and solving for OW gives a result of 8.

Explanation:

The question seems to present us with a right triangle, where WC is one leg, CO is the hypotenuse, and OW is the other leg we need to find. We can use the Pythagorean theorem, which says that in a right triangle, the square of the hypotenuse (CO) is equal to the sum of the squares of the other two sides (WC and OW). In a formula, this is a² + b² = c², where c is the hypotenuse.

Substituting the given measurements into the formula we get: WC² + OW² = CO², so OW² = CO² - WC².

OW = sqrt(CO² - WC²) = sqrt((17)² - (15)²) = sqrt(289 - 225) = sqrt(64), so OW = 8.

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Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smaller number. Let x represent the smaller number and y represent the larger number. Which equations represent this situation?
A) y = -4/3 x + 31.
y = 2 x + 7.

B) y = -4/3 x + 31/3
y = 2 x + 7.

C) y = -4/3 x + 31.
y = -2 x + 7.

D) y = -4/3 x + 31/3
y = -2 x + 7.

Answers

Answer:

B) y = -4/3 x + 31/3

y = 2 x + 7

Step-by-step explanation:

The equations above match the description given about them.

If this answer is correct, please make me Brainliest!

Write 9/10 as a percent and decimal

Answers

0.9 I think is the answer

Answer:

90% and 0.9

Step-by-step explanation:

QUESTION 3

Construct a function for the relationship.

Answers

Answer:

f(x)=3x-4

Step-by-step explanation:

You are choosing between two health clubs. Club A offers membership for a fee of $28 plus a monthly fee of $24. Club B offers membership for a fee of $35 plus a monthly fee of $17. After how many months will the total cost of health club A be at least the total cost for Club B

Answers

Answer:

The cost will be the same after 1 month

Step-by-step explanation:

Step 1: set up the equation

club A= 28x+24  club B= 35x+17

club A=club B: 28x+24=35x+17

Step 2: Get rid of the smallest X

28x+24=35x+17

-28         -28

24=7x+17

Step 3: Get rid of the constant next to the variable to isolate the variable

24=7x+17

-17       -17  

7=7x

Step 4: Inverse operation to remove variable

7÷7x=7x÷7x

1=1

I hope this helped, im not too good at explaining but im positive the solution is correct.

Answer:

With $35, a member is paying 100%.

Since the reduction is 5%, that means his is paying now 95% of $35,

that means $35 x 0.95 = $33.25, So the decrease in fees is 35-33.25 = $1.75

Another method: the reduction was 5% on the $35 or 5% x 35 = 0.05x35=$1.75

Step-by-step explanation:

Elena is trying to draw a triangle with side lengths 4 inches, 3 inches, and 5 inches.

She uses her ruler to draw a 4 inch line segment .

She uses her compass to draw a circle around point  with radius 3 inches

She draws another circle, around point  with radius 5 inches.


Answers

Elena should put a point where the two circles intersect and draw line segments connecting that point to points A and B to finish her triangle.

ΔABC and ΔABD are the required Triangle.

What is Construction?

Geometric constructions are precise drawings of geometrical shapes, angles, and lines. We will need a pencil, a ruler (or other straight edge), and compasses to do this. Perpendicular bisector and angle bisector are the fundamental constructions.

We have,

Elena is trying to draw a triangle with side lengths 4 inches, 3 inches, and 5 inches.

Elena should find the intersection of two circles at point C and point D.

Connect point B and C, A and C or connect them.

ΔABC and ΔABD are the required Triangle.

Learn more about Construction here:

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A wholesaler sells rolls of fruit snacks in two sizes of bags. The table shows the number of rolls that come in each bag. Write an expression that could be used to determine the number of rolls in 3 large bags and 2 small bags. Then find the number of rolls.

Answers

Answer:

3 × 10 = 30 2 ×5 = 10

Step-by-step explanation:

30 + 10 = 40 rolls

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