4) Cody invests $2,733 in a retirement
account with a fixed annual interest rate of
9% compounded 12 times per year.
How
long will it take for the account balance to
reach $9,589.78?

Answers

Answer 1

Answer:

t = 14 years

Step-by-step explanation:

r = R/100

r = 9/100

r = 0.09 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(9,589.78/2,733.00) / ( 12 × [ln(1 + 0.09/12)] )

t = ln(9,589.78/2,733.00) / ( 12 × [ln(1 + 0.0075)] )

t = 14 years

Summary:

The time required to get a total amount of $9,589.78 with compoundeded interest on a principal of $2,733.00 at an interest rate of 9% per year and compounded 12 times per year is 14 years.


Related Questions


A pair of flip flops is labeled $9 on the price tag. At the register, I paid $9.45. What percent of $9 is $0.45?

Answers

5% of 9 is 0.45.

Why? Well 0.45 times 20 is equal to 9, and 100 divided by 20 is 5 therefore 5 percent.

than 100 inches.
8 feet 6 inches
8 feet
0000
3 yards
2 yards 19 inches

Answers

Yo your question is extremely un readable but im gonna assume you are asking what is more than a hundred inches

8 feet 6 inches = 104 inches

8 feet = 96 inches

3 yards = 108 inches

2 yards 19 inches =  91 inches

A theater has 1200 seats. Each row has 20 seats. Write and solve an equation to find the number x of rows in the theater.

An equation that represents this problem is
=1200.

There are
? rows in the theater.

Answers

I believe the answer is 60
1200 divided by 20=60

What is 3,235 divided by 20?

Answers

Answer:

161.75

(You can use a calculator to calculate this)

Answer:

161.75

Step-by-step explanation:

what is the raidus of the cone in the diagram. height = 12 units Volume = 201.06 cubic unit

Answers

Answer:

4 units (nearest whole number)

Step-by-step explanation:

Formula

[tex]\textsf{volume of a cone}=\dfrac13 \pi r^2h[/tex]

Solution

Given:

volume = 201.06 units³height = 12 units

[tex]\implies 201.06=\dfrac13 \pi r^2(12)[/tex]

[tex]\implies 201.06=4 \pi r^2[/tex]

[tex]\implies r^2=\dfrac{201.06}{4 \pi}[/tex]

[tex]\implies r=\sqrt{\dfrac{201.06}{4 \pi}}[/tex]

[tex]\implies r=3.999980804...[/tex]

Therefore, the radius of the cone is 4 units (nearest whole number)

How much would you need to deposit in an account now in order to have $6000 in the account in 5 years? Assume the account earns 8% interest compounded daily.

Answers

Answer:

$[tex]\frac{6000\cdot \:365^{1825}}{365.08^{1825}}[/tex]

Step-by-step explanation:

[tex]x(1+.\frac{.08}{365})^{5\cdot \:365} =6000[/tex]

[tex]x\frac{365.08^{1825}}{365^{1825}}=6000[/tex]

[tex]x\frac{365.08^{1825}}{365^{1825}}\cdot \:365^{1825}=6000\cdot \:365^{1825};\quad \ne \mathrm{True}[/tex]

[tex]365.08^{1825}x=6000\cdot \:365^{1825};\quad \ne \mathrm{True}[/tex]

[tex]\frac{365.08^{1825}x}{365.08^{1825}}=\frac{6000\cdot \:365^{1825}}{365.08^{1825}};\quad \ne \mathrm{True}[/tex]

[tex]x=\frac{6000\cdot \:365^{1825}}{365.08^{1825}};\quad \ne \mathrm{True}[/tex]

you cannot simplify further because of the high exponents

It is simply extremely hard to do compound interest problems backwards if it gets compounded daily

Mark brainliest please!

What is the total cost of 8 loaves of bread at £1.38 each?

Answers

Answer:

£11.04

Step-by-step explanation:

1.38 x 8 = 11.04

Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. List each zero and its multiplicity.

Answers

Polynomial is an expression that consists of indeterminates(variable) and coefficients. The multiplicity of 0 is 3, 2/3 is 1 and -4 is 1.

What are polynomials?

Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

Given polynomial equation q(x)=12x⁵+40x⁴-32x³, therefore, the factorised form of the equation will be,

[tex]q(x)=12x^5+40x^4-32x^3\\\\q(x)=4x^3(3x^2+10x-8)\\\\q(x)=(4x^3-0)(3x^2+12x-2x-8)\\\\q(x)=(4x^3-0)[3x(x+4)-2(x+4)]\\\\q(x) = (4x^3-0)(3x-2)(x+4)[/tex]

Therefore, the multiplicity of 0 is 3, 2/3 is 1 and -4 is 1.

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Help please thank u!! ​

Answers

Answer:

E={1,2,3}

Step-by-step explanation:

First one is the correct answer

THIS IS MY SISTER LAST QUESTION TAKE YOUR TIME1

Answers

Answer:

B

Step-by-step explanation:

[tex][(8+15) \times 3] \div 3\\= \frac{(8+15) \times 3}{3}\\= \frac{8 + 15}{1}\\= 8 + 15 = 23[/tex]

Meade gave 1/7 of a candy bar to Max and then ate 2/5 of the candy bar himself. What fraction of the candy bar is left?
There is ______ of the candy bar left

Answers

Let's break this problem into a few steps:

First, Meade gave 1/7 of candy to Max

             ⇒ Amount of Candybar: Candy - (1/7)Candy = (6/7)Candy

Second, Meade ate 2/5 of the candy

            ⇒ Amount of Candy left:  

                     Total amount of candy - (2/5) * Total amount of candy

                                                  = (6/7) Candy - (2/5) *(6/7)Candy

                                                  = (1 - (2/5)) * (6/7) Candy

                                                  = 3/5 * 6/7 = 18/35 Candy

Thus there is 18/35 of the candy left.

What is answer?

Not really good. At this

Answers

J
Because 15 - 13 is 2 x (8 + 4 = 24 and divided by 6 is 4

Topic: Labor Economics.

Need solution for tasks 4 4.1 4.2 4.3

Answers

The curves of the labor market are illustrations of demand and supply, and the curves are all linear functions

4.1: The graph of the curves of the labor market

The equations are given as:

D = 36 - 2W

S₁ = 9 + W ---- domestic (i.e. without immigrants)

S₂ = 10 + 2W ---- total (i.e. including immigrants)

See attachment for the graph

4.2: The equilibrium wage rate before immigration

This is the point of intersection between the curves of S₁ and D.

From the graph, we have:

(W, D) = (9,18)

Hence, the equilibrium wage rate before immigration is $9, and the number of workers that would be hired is 18

4.3: The equilibrium wage rate after immigration

This is the point of intersection between the curves of S₂ and D.

From the graph, we have:

(W, D) = (6.5,23)

Hence, the equilibrium wage rate after immigration is $6.5, and the number of workers that would be hired is 23

4.3.1: Number of domestic workers hired

Substitute 6.5 for W in S₁ = 9 + W

S₁ = 9 + 6.5

S₁ = 15.5

Remove decimal

S₁ = 16

Hence, the number of domestic workers that would be hired is 16

4.3.1: Number of immigrants hired

Substitute 6.5 for W in S₂ = 10 + 2W

S₂ = 10 + 2 * 6.5

S₂ = 23

Subtract S₁ = 16 from S₂ = 23

Immigrants = 23 - 16

Immigrants = 7

Hence, the number of immigrants that would be hired is 7

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Joe read 140 pages of his 300- page book. What percent of the book has he read?

Answers

Answer:

47 percent

Step-by-step explanation:

140/300divide by 347/100percentages are out of 100 so it is 47

A box of 25 munchkins cost $5.46 what is the unit rate per munchkin

Answers

The unit rate per munchkin is $0.22.

What is Division?

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

The cost of 25 munchkins cost $5.46, therefore, the unit rate of each munchkin can be written as,

[tex]\text{Cost of unit munchkin} = \dfrac{\text{Total cost of munchkins}}{\text{Number of munchkins}}\\\\\text{Cost of unit munchkin} = \dfrac{\$5.46}{25}=\$0.2184 \approx \$0.22[/tex]

Hence, the unit rate per munchkin is $0.22.

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A rectangular prism is shown.




What is the volume, in cubic MILLIMETERS, of the rectangular prism

Answers

Answer:

1974 mm^3

Step-by-step explanation:

The formula to find the volume of a rectangular prism/cuboid: l x w x h, where l is the length, w is the width and h is the height.

1) Input the values into the formula and solve it.

= 47 x 14 x 3

= 1974 mm^3

Hover– High helicopters manufacturers radio – control toy helicopters. They have their quality control down to a point we’re only one in 100 built could be defective and returns for repair at a cost to the company of $50. At a profit margin of $10 per unit, what would their profit be per unit after selling 200 copters?

Answers

If a profit margin is $10 per unit, what would their profit be per unit after selling 200 copters is $9.40.

Profit per unit

First step

There are 2 defectives in 200 copters

Total profit=[(200-2)×$10]-($50×2)

Total profit=(198×$10)-$100

Total profit=$1,980-$100

Total profit=$1,880

Second step

Profit per unit=$1,880/200

Profit per unit=$9.40

Therefore their profit be per unit after selling 200 copters is $9.40.

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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

27°

Step-by-step explanation:

SOH CAH TOA

sinx = opposite/hypotenuse

sinx = 10/21  ≈ 0.47619047619 radians

0.47619047619 · (180/π)

≈ 85.71/π

≈ 27°

BRAINLIEST please if this helped!

HELP ME WITH THIS IF U PLEASE​

Answers

PART A

WT = 30

30 = 3HF + 2FA

30 = 3x + 2y

2y = 30 - 3x

y = 15 - 3/2x

0 = 15 - 3/2x

3/2x = 15

x or EH = 10

y = 15 - 3/2(10)

y = 15 - 15

y or FA = 0

Okay so this problem doesn't make sense because FA cannot = 0. I know I did the first part right - change of variables. I'm just not sure if we can use the information in part b to answer part a... Anyway, I hope this helps!

What is the length of AB?

Answers

Answer:

10

Step-by-step explanation:

AB²=8²+6²

=64+36

=100

AB=10

Answer:

10 units

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

6² + 8² = c²

c = √100

10 units

BRAINLIEST please if this helped!

4 Jackson's mom limits the amount of time he is allowed to play video games. After
Jackson plays for 9 minutes, his mom tells him that he has used up 30% of his time.
How many more minutes can Jackson play before he uses all of his time?
Show your work.
Answer Jackson can play
more minutes.

Answers

Answer:

Jackson can play for 21 more minutes.

Step-by-step explanation:

If 9 minutes = 30% or 0.3

then we can set up a ratio to cross multiply.

(9/30) = (x/100)

then croos multiply and divide to isolate and solve for x.

(9 * 100) / 30 = 30

That means 100% of Jackson's time is 30 minutes.

30 - 9 = 21. So jackson can play for 21 more minutes before he uses all of his time.

But by the time he figures all of this out he'll probably have to turn it off anyways :)

What is one disadvantage of a trade school education over a four-year college?
A. The cost will be higher.
B. Your courses will not be as diverse.
C. You will have to study longer.
D. You will be less prepared to work.​

Answers

Answer: B. Your courses will not be as diverse.

Step-by-step explanation:

      A four-year college will have many different classes and courses you can take in different areas. Trade school courses focus on a specific skill, such as being a dentist or an electrician. This means the answer to your question is;

         B. Your courses will not be as diverse.

Answer: B: Your courses will not be as diverse

Step-by-step explanation: Trade schools focus on preparing you for a specific trade rather than general studies

Your annual salary is $60,000. What is your semimonthly salary? What is your biweekly salary?​

Answers

Answer:

2,307.69 per biweekly paycheck and 2,500 per semi monthly paycheck

Step-by-step explanation:

If you didn't already know, monthly pay has 12 paychecks, semi-monthly pay has 24 paychecks, biweekly pay has 26 paychecks, and weekly pay has 52 paychecks. If you break down 60k into these paychecks, here are the results: $60,000/12 equals $5,000 (monthly pay) $60,000/24 equals $2,500 (semi-monthly pay)

hope this helps

solve the given equation state the number and type of roots x^2-5x-36=0

Answers

We can solve this quadratic equation using factorisation method as follows

:x2−5x−36=0

x2+4x−9x−36=0

x(x+4)−9(x+4)=0

(x+4)×(x−9)=0

x+4=0orx−9=0

x=−4orx=9

In the similar quadrilaterals below, what angle corresponds to ∠C? ∠H ∠G ∠F ∠E

Answers

we need to see the shapes

Justin recently drove to visit his parents who live 720 miles awayOn his way there his average speed was 11 miles per hour faster than on his way home (he ran into some bad weather)If Justin spent a total of 24 hours drivingfind the two rates

Answers

Answer:

48hours drivinh from two rates

FIND THE AREA PLEASE HELP ILL GIVE BRAINLIESTTTT

Answers

Answer:

53.2 square feet

638.4 square inches

Step-by-step explanation:

The formula for area of parallogram is l x w.

91.2 inches to feet is 7.6 feet.

7.6 is the width and 7 is the length.

7.6 x 7 = 53.2

The best translation for Zimbabwe is:
A. The Temple of God
B. The Ruler on High
C. The House of Rock
D. The Children of the Sun

Answers

Answer:

Zimbabwe is a Bantu word for stone houses so the answer is C

number 9 and 10, please

Answers

Answer:9 is g and b

Step-by-step explanation:

because they all involved the answer

The model n(T)= 2^t represents the number of bacteria in a petri dish after c hours
where t= 0 represents the time when the bacteria were first put into the dish.
What is the correct value and interpretation of n (10)

Answers

Answer:

1024

Step-by-step explanation:

n(10) =2^10

n(10) = 1024

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