Aubrey is going to invest $160 and leave it in an account for 7 years. Assuming the interest is compounded daily, what interest rate, to the nearest tenth of a percent, would be required in order for Aubrey to end up with $220?

Answers

Answer 1

Answer:

4.5%

Step-by-step explanation:

compound interest formula:

[tex]PV(1+\frac{i}{n})^{t*n}[/tex]

[tex]220=160(1+\frac{x}{365})^{365*7}\\\\1.375=(1+\frac{x}{365})^{2555}\\1.0001246=1+\frac{x}{365}\\x=.0454962254126[/tex]

this rounds to

x=4.5%

Answer 2

Aubrey would need an interest rate of 6.3%.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

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

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

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

A = the final amount (in this case, $220)

P = the initial investment (in this case, $160)

r = the interest rate (what we are trying to find)

n = the number of times the interest is compounded per year (since it's compounded daily, n = 365)

t = the time period (in years, in this case, 7)

Substituting in the given values and solving for r:

220 = 160(1 + r/365)^(3657)

220/160 = (1 + r/365)^(3657)

1.375 = (1 + r/365)^2555

ln(1.375) = 2555 ln(1 + r/365)

ln(1 + r/365) = ln(1.375)/2555

1 + r/365 = e^(ln(1.375)/2555)

r/365 = e^(ln(1.375)/2555) - 1

r = 365(e^(ln(1.375)/2555) - 1)

r ≈ 6.3%

Therefore,

Aubrey would need an interest rate of 6.3%.

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Related Questions

Find X and Y, THIS IS DUE VERY SOON, PLEASE HELP!

Answers

Answer:

X is equal to 8, and Y is equal to 35

Step-by-step explanation:

You'll use the Pytagoras theorem to find the values of X and Y.

Sum the following numbers then divide by 5
( 3 + 5 + 6 + 2 + 4 ) /5 } = ? What is your answer ?

Answers

Answer:

4

Step-by-step explanation:

(3+5+6+2+4) / 5 = ?

(20) / 5 = 4

. To test H0: m = 105 versus H1: m ≠ 105, a simple random sample of size n = 35 is obtained. (a) Does the population have to be normally distributed to test this hypothesis by using the methods presented in this section? Why? (b) If x = 101.9 and s = 5.9, compute the test statistic. (c) Draw a t-distribution with the area that represents the P-value shaded. (d) Approximate and interpret the P-value. (e) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, will the researcher reject the null hypothesis? Why?

Answers

Answer:

A.) No

B.) test statistic = - 3.108

Check explanation

Step-by-step explanation:

H0: m = 105 versus H1: m ≠ 105

Sample size, n = 35, since we have a large sample size, greater than 30.

B.)

xbar = 101.9 ; s = 5.9

Test statistic :

T = (xbar - μ) ÷ (s/√n)

T = (101.9 - 105) / (5.9/√35)

T = - 3.1 / 0.9972820

Test statistic = - 3.11

Pvalue from Tstatistic, df = 34

Pvalue = 0.003772( Pvalue calculator)

Pvalue is the probability of obtaining a value more extreme or exactly that of the test statistic.

At α = 0.01

Pvalue < α ; We fail to reject the Null

Here are some points. What is 2/5 out of twenty?

Answers

Answer:

8

Step-by-step explanation:

You just need to multiply 20 by 2/5

Or, multiply 20 by 2, then divide by 5.

20 x 2/5

40/5

8

2/5 of 20 = 40/5 or simply, 8.

Have a great day!

Which of the following tables shows that y is a function of x?

Answers

Answer:

Table B

Step-by-step explanation:

Recall: a table of values can only represent a function if and only if every x-value has exactly only one y-value.

The only table that satisfies this condition is the table in option B.

In table B, every x-value is related to only exactly one y-value.

Then Find The Value Of X ​

Answers

Answer:

15

Step-by-step explanation:

The given is a right triangle divided into two parts by a sector

so 3x + 45 = 90 subtract 45 from both sides

3x = 45 divide both sides by 3

x = 15

coyote, owl rabbit, field mouse, grass

What might cause this dramatic decline in the rabbit population?

A. An increase in the field mouse population.

B. A decrease in the owl population.

C. An increase in the amount of grass available.

D. A decrease in the coyote population.​

Answers

Answer:

°¶°Here the answer is B °¶°

Find the common ratio of the geometric sequence 6 , 24 , 96 , . . .

Answers

Answer:

4

Step-by-step explanation:

6 * 4 = 24

24 * 4 = 96

What is the volume, in cubic meters, of a rectangular prism with a height of 14 meters, a width of 17 meters, and a length of 13 meters?

Answers

Answer: 3084

Step-by-step explanation: 14•17=238 238•13=3084

Answer:

3094

Step-by-step explanation:

l=13   w=17   h=14

v = L W H

V= ( 13 ) ( 17 ) ( 14 )

V= 3094 meters 3

 Your Solution:

                       V= 3094

50 POINTS PLEASE HELP!!! Use the formula Circumference = 2nr, where r is the radius and a is 3. 14, to answer the question.
3.0 cm
What is the approximate circumference of the circle?
A 6.00 cm
B. 9.42 cm
C 18.84 cm
D 37.68 cm

Answers

Answer:

This one is easy I did this one before its A

Answer:

the answer is c

you times the radius with the 2 and the pi

A circular grade has a circumference of 38 yards .Lars is digging a straight line along the diameter of the garden at a rate of 3 yards.How many hours will it take to dig acceso the garden?

Answers

Answer:

It will take 4 hours to dig access to the garden.

Step-by-step explanation:

Given that a circular grade has a circumference of 38 yards, and Lars is digging a straight line along the diameter of the garden at a rate of 3 yards, to determine how many hours it will take to dig access to the garden, the following calculation, knowing that the diameter of a circle is equal to the circumference divided by π:

38 / π = X

38 / 3.14 = X

12.09 = X

12.09 / 3 = 4.03

Therefore, it will take 4 hours to dig access to the garden.

A kangaroo hops 2 kilometers in 3 minutes. At this rate, the kangaroo will travel kilometers in 15 minutes.

Answers

Answer:

the kangaroo will travel 10 kilometers

Step-by-step explanation:

15/3=5

5×2=10

Answer:

10

Step-by-step explanation:

We can use the ratio:

3:2

15:?

15/3 is 5

2*5 is 10.

What is (8x + 4) added to (15x – 12)?

Answers

Answer:

23x-8

Step-by-step explanation:

8x + 15x = 23x

4 + (-12) = -8

Answer:

[tex] \boxed{23x \: – \: 8} [/tex]

Step-by-step explanation:

(8x + 4) added to (15x – 12) =

(8x + 4) + (15x – 12) =

[Group like terms]

(8x + 15x) + (4 – 12) =

[Simplify]

23x – 8

ILL GIVE BRAINLEST, find the value of x.

Answers

Answer:

x⁰ = 45⁰

Step-by-step explanation:

As it is given that the 2 sides of a triangle are equal, then it is an isosceles triangle.

Now, by applying the Triangle Sum Property,

x⁰ + 90⁰ + 45⁰ = 180⁰

x⁰ = 180⁰ - 135⁰

x⁰ = 45⁰

Hope it helps :)

Answer:

x = 45 degrees

Step-by-step explanation:

A triangle is always 180 degrees. One angle is already labeled 45 degrees, and we can tell this is a right triangle, so the other angle is 90 degrees. Add 45 + 90 to get 135. Then subtract 135 from 180 to get 45, which is the value of the missing angle.

Which equation demonstrates the distributive property?

Answers

Answer:

B-36*8=8*36

The distributive property is just using the same numbers except it's just switched around but hte same numbers are in the problem/equation.

Hope this helps!

Have a great day!

- Hailey

Look below for an example!

find the value of x please help I give brainly
20 points

Answers

Answer:

x=148

Step-by-step explanation:

First, find the missing angle by subtracting 100+48 from 180 (all of the angles in a triangle add up to 180). Then, subtract that from 180 (the angles are a linear pair, so they are supplementry, so they add up to 180) x+32=180.

x=148.

(お役に立てれば!)

PLEASE HELPPP! I'LL GIVE BRAINLEST​

Answers

Answer:

hiiio......

Step-by-step explanation:

b)8 boxes...

Giving brainliest!!!!!!

Answers

Answer:

Answer should be 6, I think

3people equally share 4 oranges. How many oranges
does each person get?​

Answers

Answer:

[tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

4/3=[tex]1\frac{1}{3}[/tex]

Answer:

4 divided by 3 = about 1.33

Step-by-step explanation:

fraction form is 1 1/3

32 1/2 meters to feet

Answers

Answer:

106.6273

Step-by-step explanation:

Answer:

106.6273 ft

Step-by-step explanation:

The Lane School sold 1,152 granola bars to raise money for digital cameras. All the granola bars were either berry bars or raisin bars. They sold 528 berry bars, and the rest were raisin bars. The granola bars came in boxes of 24 bars. How many boxes of raisin bars did they sell?​

Answers

Answer:

26 boxes of raisin bars

Step-by-step explanation:

Take the total bars sold 1152 then subtract the berry bars 528 and you'll get 624. Next you'll divide the 624 by 24 because that's how many that's in a full box. Finally you'll get your answer of 26 boxes.

1152-528=624 ➗ 24 = 26

A muralist is painting the side wall of a building. The wall is shaped like a rectangle that is 60
feet long and has a diagonal length of 68 feet. If a gallon of paint can cover 800 square feet,
how many gallons will the muralist use?

Answers

Answer:

2.4 gallons

Step-by-step explanation:

to answer this question :

we have to determine the width of the rectangle.

determine the area

determine the gallons needed

Pythagoras theorem would be used to determine the width of the wall

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

60² + b² = 68²

3600 + b² = 4624

b = ²4624 - 3600 = 1024

√b = 32

Area of a rectangle = length x width

32 x 60 = 1920

Gallons needed = 1920 / 800 = 2.4 gallons

A=53sq.in find the value of x. Round to the nearest tenth

Answers

Answer:

shawty i think we need more info to solve this-

Step-by-step explanation:

I really want to know what 2+2 is.

Answers

Answer:

Step-by-step explanation:

4

Answer:

It's 4 for you and 5 points for me

Step-by-step explanation:

write the sum 3+3+3+3+3+3 using sigma notation ​

Answers

Answer:

18

Step-by-step explanation:

The sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex] .

What is sigma notation?

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum.

According to the question

The sum 3+3+3+3+3+3  

Represent the sum as sigma notation

[tex]\sum_{i=1}^{6}3[/tex]   start at 1 and goes up to 6  

=  3+3+3+3+3+3  

Hence,  the sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex]   .

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The original price of a book is $25. The book is on sale for 30% off.
What percent of the price are we paying? What is the price you will pay
for the book?

Answers

Answer:

You will pay 70% of the original price. You will pay $17.50

Step-by-step explanation:

100% is full price because 100%=1 (one whole).

100% - 30% = 70%

70% = 0.7

0.7 multiplied by $25 is $17.50

The perimeter of a rectangle measures 26 in. Find the other
side length, if one side measures 4 in.

Answers

the other side length is 9in
the rectangle is 26 in and a giving measure is 4 in. so 4+4=8 (8 is the total of two measures). then u do 26-8 and u get 18. (18 is the total of 2 sides). you are tying to find one so u divide it by 2 and you get 9

Which statement describes the phospholipid bilayer that makes up a cell membrane?

A) The hydrophobic heads point into and out of the cell, while the hydrophilic tails form a layer between the heads.

B)The hydrophobic tails point into and out of the cell, while the hydrophilic heads form a layer between the tails.

C)The hydrophilic heads point into and out of the cell, while the hydrophobic tails form a layer between the heads.

D)The hydrophilic tails point into and out of the cell, while the hydrophobic heads form a layer between the tails.

Fast plz.

Answers

Answer:

Option D

Step-by-step explanation:

The phospholipid bilayer that makes up a cell membrane comprises of two essential parts a) Water loving part or the hydrophilic part which points outwards towards cytoplasm and b) Water hating part of hydrophobic part which point towards the interior of the membrane, and is sandwiched between two layers of hydrophilic heads

Hence, option D is correct

Answer:

d

Step-by-step explanation:

edge 2021

Write impossible, unlikely, as likely as not, likely, or certain. Then, tell whether the probability is 0,close to 0, 1/2, close to 1, or 1 Picking a red marble from 4 white marbles and 7 green marbles

Answers

Answer:

Step-by-step explanation:

The ratio 2/8 could represent which of the following?
A) 8 parts that are one fourth each
B) 4 parts that are one-half each
C) 2parts that are one eighth each
D) 2 parts that are one fourth each

Answers

Answer:

C) 2parts that are one eight each.

Step-by-step explanation:

The reason I chose C) as the correct answer is becasue I evaluated it with the steps below.

A) - 8 parts that are one fourth each.

  This cannot be correct because it would surpase the 2/8ths (would be over).

B) - 4 parts that are one-half each.

  This cannot be correct because it would surpass the 2/8ths (would be over).

C) - 2parts that are one eight each.

  This can be correct because 2 parts have 1/8th. 1/8 + 1/8 = 2/8.

D) - 2parts that are one fourth each.

  This cannot be correct because the denominator is not 8, it is 4 meaning it wouldn't fit into the format the question asked for (which was 2/8).

This makes the correct answer C).

  I hope this helps you understand and helps you in your question.

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