Nathaniel is going to invest $22,000 and leave it in an account for 20 years.
Assuming the interest is compounded continuously, what interest rate, to the nearest
tenth of a percent, would be required in order for Nathaniel to end up with $33,000?

Answers

Answer 1

Answer:2.0%

Step-by-step explanation:

Answer 2

The interest rate required to get a total amount of $33,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 20 years is 2.048% per year.

What is the interest rate?

r = n[(A/P)1/nt - 1]

r = 1 × [(33,000.00/22,000.00)1/(1)(20) - 1]

r = 0.0204802

Then convert r to R as a percentage

R = r * 100

R = 0.0204802 * 100

R = 2.048%/year

The interest rate required to get a total amount of $33,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 20 years is 2.048% per year.

The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR (APR).

To learn more about compound interest refer to:

https://brainly.com/question/24274034

#SPJ2


Related Questions

A new microwave costs $126.99 at Walmart. How much sales tax would
you pay if the tax rate is 7%?*
$135.88
$8.89
$135.87
$8.88

Answers

Answer:

135.87

Step-by-step explanation:

7% of 126.99 is 8.8893

add 126.99 to 8.8893

you get ~135.87

Answer:

8.89

Step-by-step explanation:

Take the cost of the item times the tax rate to find the amount of tax

126.99 * 7%

Change to decimal form

126.99 * .07

8.8893

Round to the nearest cent

8.89

You put $500 in a savings account. The account earns $20 simple interest in 6 months. What is the annual interest rate? Write your answer as a percent

Answers

Answer:

8%

Step-by-step explanation:

For simple interest, we use the equation I = PRT, where I is the interest earned, P is the principal/amount invested, R is the rate as a decimal, not percentage, and T is the time in years.

For this problem, we have to use 0.5 for T, because 6 months is 1/2 a year.

20 = (500)(r)(0.5)

20 = 250r

r = 0.08 = 8%

what is the area of the shaded region in the figure below

Answers

Answer:

4 cm^2

Step-by-step explanation:

2 x 2 x 0.5 x 2 = 4 cm^2

Hi there!

[tex]\huge\boxed{4 \text{ cm}^{2}}[/tex]

Find the area of the shaded area using the given dimensions:

The shaded area is divided up into two triangles, each with a base of 2 cm and a height of 2 cm. Use the following equation to solve for area:

A = 1/2(bh)

A = 1/2(2 · 2)

A = 1/2(4) = 2 cm²

There are two triangles, therefore:

2 × 2 = 4 cm²

Find the equation of a line that passes through the point (-2,4) and has a gradient of -3.
Leave your answer in the form
y
=
m
x
+
c

Answers

Equation of a line is y = mx +c

m is the gradient, which is given as -3 so now you have:

y = -3x + c

Replace y and x with the given point and solve for c:

4 = -3(-2) + c

Simplify:

4 = 6 + c

Subtract 6 from both sides:

c = -2

The equation becomes:

y = -3x-2

Pls help, thank you :)​

Answers

To find this, we must do the equation:
3,500,000 divided by 100

That equals
=35000

So (3)
Hope this helped ^^

Answer:

(3)

Step-by-step explanation:

Find the distance between (−9, 7) and (−6, 7).

Answers

Answer:

(6,7),(9,6)

Step-by-step explanation:

HOPE THIS HELPS!!!!

HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

help din HDKE EJFNQKEHWHQODBEHQVEIFNFJRNSJEBSG

Step-by-step explanation:

di ko din alam e AHAHAHAHAHAHAHAHAHA NSKFBWJF S DJEBEJS

JSHEBEJS IF JENSKS.DJWKW

SBWUKWVEUEBJQBRJDNDJXBDJDBDKW

EBEJE KD DJWKQKQBWHS

what is the density of the oak board? it is 5.5 inches wide, 1.5 inches thick and 3 feet long

Answers

multiply 5.5 the width with 1.5 by 3 which gives you 24.75 inches feet long.

5.5 x 1.5 x 3=24.75 that's your answer.

Answer:297 cubic inches, other person is incorrect.




Step-by-step explanation:5.5 inches* 1.5inches * 3 feet
Convert 3 feet to inches and you have 36 inches. So now it becomes 5.5inches*1.5inches*36inches = 297 cubic inches

please help i don't know this one

Answers

It’s the last circle

Answer:

Hey do you know the answer to the question you wrote a while ago?

Step-by-step explanation:

(02.05)

Two similar triangles are shown on the coordinate grid:

A coordinate plane is shown. Triangle XYZ has vertices X at negative 5 comma negative 1, Y at negative 6 comma negative 2, and Z at negative 3 comma negative 2. Triangle X double-prime Y double-prime Z double-prime has vertices X double-prime at 10 comma negative 2, Y double-prime at 12 comma negative 4, and Z double-prime at 6 comma negative 4.

Which set of transformations has been performed on triangle XYZ to form triangle X′′Y′′Z′′?  

Do you?? :(

help i need help ASAP

Answers

Answer:

That is the halfway mark between -6 and -7.

Step-by-step explanation:

-4 - 2.5

-6.5, or is -6 1/2.

That is the halfway mark between -6 and -7.

Hi i need help with this please?!??!!

Answers

Answer:

May be your answer is option 3

Which ones are correct?

Answers

Answer:

120 x 10^3

7 x 10^5

9 x 10^4

Step-by-step explanation:

 

Answer pls is mathematically is due today in 1 m

Answers

Answer:

200.96 units^2 or 64π units^2

Step-by-step explanation:

8^2(3.14) = 200.96 units^2 or 64π units^2

(multiplied by 2 to change the radius to diameter)

8 inches is which fraction of 1 yard?

Answers

Answer:

8/36 yard or 2/9

Step-by-step explanation:

Amr sells 6 pounds of turkey for $ 48.75. What is the unit price ?​

Answers

If unit price means each pound then it’s 8.125

Answer:

the unit price would be 8.125

Step-by-step explanation:

PLEASE HELP!!! I WILL GIVE BRAINLIEST

Answers

Answer:x=2y=3

Step-by-step explanation: I did this before

Suppose that a survey was taken of 320 people and each person was asked if they approved or disapproved of the president's actions during the government shutdown. One hundred eighty people said that they approved. Which of the following statements correctly describes how the confidence interval for the population proportion of people that approved the President's actions during the government shutdown?

A) There are not 15 successes and 15 failures. A confidence interval can be computed by adding 2 successes and 2 failures.
B) There are not 15 successes and 15 failures. A confidence interval can be computed by adding 4 successes and 5 failures.
C) There are not 15 successes and 15 failures. A confidence interval can not be done.
D) There are at least 15 successes and 15 failures. A large sample confidence interval for the population proportion can be computed (phat +/- z * sqrt(p*(1-p)/n) with no additional values added.

Answers

Answer: I believe it’s C

Step-by-step explanation: I hope i’m right

if x degree + x + 10 degree + x + 15 degree + x + 20 degree + x + 25 degree + x + 30 degree ​

Answers

Answer:

x° + x° + 10° + x° + 15° + x° + 20° + x° + 25° + x° + 30°

= 6x° + (10 + 15 + 20 + 25 + 30)°

= 6x° + 100

0 = 6x + 100

6x = 100

X = 100/6

X = 16.66

which of the following is NOT a property of all parallelograms

(1) the diagonals are perpendicular
(2) the diagonals bisect each other
(3) opposite sides are congruent
(4) adjacent angles are supplementary​

Answers

2- the diagnosis bisect each other
2, the diagonals bisect each other :)

What side lengths should be used to model a rectangle with an area of x2 + 3x – 10 square units?

x – 5 and x + 2
x – 2 and x + 5
x and x + 3
x + 3 and x – 10

Answers

Answer:

x - 2 and x + 5

Step-by-step explanation:

Given Area Of rectangle

= x² + 3x - 10

= x² + ( 5 - 2)x - 10

=x² + 5x - 2x - 10

= x ( x + 5 ) - 2 ( x + 5 )

= ( x + 5 ) ( x - 2 )

Hope it will help :)❤

Answer:

B. x-2 and x+5

Step-by-step explanation:

Line A has a slope of -4/3. Line B is perpendicular to Line A. What is the slope of Line B?

Answers

Answer:

The answer is 3/4

Step-by-step explanation:

If two lines in perpendicular, then the slope has a relation as slope1 * slope2 = -1. Then if line 1 has slope -4/3 then -4/3 * x = -1, then x = 3/4 which is the slope for the second line.

This is due in 10 minutes please help me

Answers

Given:

The rate of interest on three accounts are 7%, 8%, 9%.

She has twice as much money invested at 8% as she does in 7%.

She has three times as much at 9% as she has at 7%.

Total interest for the year is $150.

To find:

Amount invested on each rate.

Solution:

Suppose x be the amount invested at 7%. Then,

The amount invested at 8% = 2x

The amount invested at 9% = 3x

Total interest for the year is $150.

[tex]x\times \dfrac{7}{100}+2x\times \dfrac{8}{100}+3x\times \dfrac{9}{100}=150[/tex]

Multiplying both sides by 100, we get

[tex]7x+16x+27x=15000[/tex]

[tex]50x=15000[/tex]

Dividing both sides by 50, we get

[tex]x=\dfrac{15000}{50}[/tex]

[tex]x=300[/tex]

So, the amount invested at 7% is [tex]300[/tex].

The amount invested at 8% is

[tex]2(300)=600[/tex]

The amount invested at 9% is

[tex]3(300)=900[/tex]

Hence, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.

2
7
Kami received 2,300 votes in
a town election. She
received 190 more than of the total
number of votes. Determine the
total number of residents that voted
in the town election.
5
-

Answers

Answer:

2490

Step-by-step explanation:

2300 votes plus 190 votes will be 2490 vote .one person is equals to one vote

Which of the following is the product of (3x − 5) and (3x + 5)?

Answers

Answer:

[tex] {9x}^{2} - 30x + 25[/tex]

[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]

(3x + 5)(3x - 5)

By using identity

(a + b)(a - b) = a² - b²

3x² - 5²

9x² - 25

Write an equation to show how to find the total length, in meters, of the 8 pieces of wood.

Answers

Answer:

256

Step-by-step explanation:

8↑2 + 8↑2 +8↑2+8↑2+8↑2+8↑2+8↑2+8↑2

8x2x2=32 8x2=16x2=3232x8= 256   +1  32  x       8______   2 5 62x8=16 **then add the +1 to the 3**3x8=24

For f (x) = 2x+1 and g(x) = x2 - 7, find (fºg)(2).

Answers

Answer:

Step-by-step explanation:

Your first step will be to set up the problem:

f(x) - g(x)

Next you will substitute in your values:

(2x + 1) - (x2 - 7)

The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:

2x + 1 - x2 + 7

Then combine your like terms:

2x - x2 + 8

Lastly put your expression in standard form (highest exponent to lowest)

-x2 + 2x + 8

Hope this helped!

Y
5-
4+
3+
2-
1+
T
-5 -4 -3 -2
3
4
5
- 2
-3+
-4
-5
Find the inequality represented by the graph.
Will mark brainliest
15 points

Answers

Answer:

ongaginga jeje críquet 5 minutos para el palmar

In the last year, U.S. car sales of all makes and models have dropped by 16%. Let's say that a car dealer sells 325 cars. If this number drops by 16%, how many cars will the dealer sell then? Round to the nearest whole number.
A 203 cars
B 309 cars
C 273 cars
D 256 cars

Answers

Answer:

c. 273 cars

Step-by-step explanation:

First you need to find what 16% of 325 is

325x.16=52

because the number sold dropped by 16% you will subtract 52 from 325

325-52=273

you can also calculate the answer by subtracting 100% by 16%

100%-16%=84%

now you can calculate 84% of 325

325x.84=273

1. A car travels at an average rate of speed of 60 miles per hour for 7.5 hours. How many miles does this car travel?​

Answers

Answer:

450

Step-by-step explanation:

60 x 7.5=450

10
Sara was thinking of a number. Sara adds 19 to it, then doubles it and gets an answer of 39.2. What was the original number?

Answers

Answer:

0.6

Step-by-step explanation:

2(x+19)=39.2

x+19=19.6

x=0.6

Other Questions
What is the range of the function shown on the graph above Data yang sesuai dengan diagram dibawah ini adalah ...*a. 123456b. 24466633331111c. 12345d. 112222333334445please help mee A line is reflected, what line is the results? Which muscles are use to bend the knee Decide if the sentence is reflexive & which answer is correct based upon the subject and the reflexive pronoun. does anyone have the gizmo cell types answer key for activity d? 18 percent of people in a city eligible to donate blood actually do. You randomly select four eligible blood donors and ask them if they donate blood. Complete parts (a) through (d) below. How do I say " I want to go to the movies" in Spanish? If 48X^2,64x^4 ,x 36x^2 are in proportion , find the value of x Where do we see the first shimmer of doubt about the Erik Fisher Football Dream? BOOK IS TANGERINE WILL MARK BRAINLIEST Six friends share 2 pumpkin pies equally. What fraction of a pumpkin pie does each friend get? is this graph a negative association or positive association WILL MARK BRAINLIST JUST HELP THIS IS DUE IN 30 MINUTES Name 5 waves of immigration in the 1800's Do you agree or disagree with the practice of social promotions? Why? There are approximately 3,000 bass in a lake. The population grows at a rate of 2% per year. Round answers to the nearest tenth.From Year 1 to Year 4, the average rate of change of the population was about 62.4 bass per year.From Year 5 to Year 8, the average rate of change of the population was about 67.6 bass per year.The rate of change increased by about _____ bass per a year. Which expression is equivalent to 2 (a + 2 b) minus a minus 2 b? 3 a + 2 b 3 a minus 2 b a minus 2 b a + 2 b Comfort chair company manufacturers a standard recliner. During February, the firm's Assembly Department started production of 73,000 chairs. During the month, the firm completed 78,600 chairs, and transferred them to the Finishing Department. The firm ended the month with 10,100 chairs in ending inventory. There were 15,700 chairs in beginning inventory. All direct materials costs are added at the beginning of the production cycle and conversion costs are added uniformly throughout the production process. The FIFO method of process costing is used by Comfort. Beginning work in process was 35% complete as to conversion costs, while ending work in process was 85% complete as to conversion costs.Direct materials $24,000Conversion costs $35,000Manufacturing costs added during the accounting period:Direct materials $168,000Conversion costs $278,0001. What were the equivalent units for conversion costs during February?a. 81,500b. 83,000c. 73,000d. 77,5002. What is the amount of direct materials cost assigned to ending work-in-process inventory at the end of February?a. $19,000b. $23,000c. $25,000d. $27,0003. What is the cost of the goods transferred out during February?a. $417,750.5b. $454,694.8c. $476,750.6d. $505,000.2 en mis ratos libres voy a la biblioteca para........A. caminar. B. patinar. c. leer D. jugar PLEASE HELP During a lunar eclipse, what is the penumbra?(1 point)A. It is the part of the moons shadow where the sun is completely blocked. B. It is the part of Earths shadow where the sun is completely blocked.C. It is the part of Earths shadow where the sun is only partially blocked.D. It is the part of the moons shadow where the sun is only partially blocked. Help me please Due 12:00 PM 13