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%.

Learn more about compound interest here:

https://brainly.com/question/13155407

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Related Questions

Help plz
(8 x 1,000) + (6 x 100)+(2x10)+(4x1)+(3x1/100) as a decimal

Answers

Answer:

8624.03

Step-by-step explanation:

Answer:

8624.03

Step-by-step explanation:

Alright, lets simplify.

8 x 1000 is 8000

6 x 100 is 600

2 x 10 is 20

4 x 1 is 4

3 x 1/100 is 3/100 or 0.03

if we add them all up, we get 8624.03

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Answers

Answer:

ATP - product, energy for all cells

Glucose - reactant, a carbohydrate

Oxygen - gas animals breathe in

Water - product, liquid

CO2 - gas animals breathe out

Step-by-step explanation:

trust me i learnt this concept

Answer:

atp = energy for the cell

glucose = a carbohydrate

water = liquid

oxygen = gas animals breathe in

carbon dioxide = gas animals breathe out

Step-by-step explanation:

NEED HELP ASAP PLEASE! BRAINLIEST TO RIGHT ANSWER! Are the polygons similar? If they are, write a similarity statement and give the scale factor.

Answers

Answer:

B) Yes; POSN~KDAG; scale factor 5:4

Step-by-step explanation:

B) Yes; POSN~KDAG; scale factor 5:4

Same angles (If 3 are the same, the 4th is the same).

Comparing the 4 respective sides:

15/12=5/4

10/8=5/4

7.5/6=5/4

15/12=5/4

Classify the expression: −2x

Answers

Answer:

linear expressions is the answer

A farmer used 204 feet of fencing to enclose a garden in the shape of a rectangle. If the length of the garden is twice the width, what is the width of the garden?
A) 34ft
B) 40.8ft
C) 51ft
D) 68ft
E) 81.6ft

Answers

Answer:

A

Step-by-step explanation:

Area=L+L+B+B

L=2

B=1

So, L+L+B+B=6

204/6=34

So, it's 34 ft, which is A.

6. What is the circumference of a circle at the right in terms of it

Answers

Answer:

The perimeter or circumference of the circle can be found using the equation C=2π(r), where r= the radius of the circle.

Step-by-step explanation:

what is the greatest common factor GCF of 30,66. 84​

Answers

Answer:

6

Step-by-step explanation:

Factorize of the above numbers :

30 = 2 • 3 • 5

66 = 2 • 3 • 11

84 = 22 • 3 • 7

Build a prime factors table

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

30 Number

66 Number

84 G.C.F

(min)

2 1 1 2 1

3 1 1 1 1

5 1 0 0 0

7 0 0 1 0

11 0 1 0 0

GCF = 2 • 3

Greatest Common Factor is :

6

In order to oversee airport security, the government created
o the Patriot Act.
O the 9/11 Commission
O the Transportation Security Administration,
O the Department of Homeland Security

Answers

Answer:

C. The Transportation Security Administration

Step-by-step explanation:

Its C

The Transportation Security Administration was founded on 19 November 2001 to improve and safeguard transportation at the United States airports.

What is the Transportation Security Administration?

The Transportation Security Administration is one if the departments in the United States government whose primary function is to oversee the security of the country at airports.

The department was founded on 19 November 2001 to improve and safeguard transportation at the United States airports.

Learn more about airports: https://brainly.com/question/15195602

if the third term is 1,000 and the second term is 100 what is the first term

Answers

Answer:

may be 10

Step-by-step explanation:

as 1000/10=100

therefore

100/10=10

what is 11 divided by 2872?

Answers

261.09090909090909090901

Answer:

Step-by-step explanation:

What is the value of 5x - 3y if x=5 and y= -1?

Answers

Answer and Step-by-step explanation:

To solve, we have to plug in the x and y values given to us into the equation.

5(5) - 3(-1)

Simplify

25 - -3

The negatives cancel each other, leading to becoming positive.

25 + 3

Add

28

The value of the expression with the given values for x and y is 28.

#teamtrees #PAW (Plant And Water)

Classify the hypothesis test as two-tailed, left-tailed, or right-tailed.

At one school, the average amount of time that tenth-graders spend watching television each week is hours. The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased from the previous mean of 21.6 hours.

a. Two-tailed
b. Right-tailed
c. Left-tailed

Answers

Answer:

C: left tailed

Step-by-step explanation:

In two tailed hypothesis, the alternative hypothesis is when mean can either be lesser or greater than the given value. Usually uses the symbol ≠.

In right tailed, the alternative hypothesis is when the mean is greater than the given value.

In left tailed, the alternative hypothesis is when the mean is lesser than the given value.

In this question, the hypothesis test to be performed is to determine if the average amount of time spent watching television per week has decreased from the given value of 21.6 hours.

Thus, it is left tailed test.

Find the surface area of the cone in terms of pie
16 cm
10 cm
The surface area of the cone is cm?
(Simplify your answer. Type an exact answer in terms of x.)

Answers

Answer:

all you did multiply it

Step-by-step explanation:

Factor this expression. 4 x - 16​

Answers

The answer is the last one bc 4 times x is 4x and 4 times 4 is 16

Adams watches a movie that is 2 hours 15 minutes long how many minutes is the time

Answers

Answer:

135 minutes

Step-by-step explanation:

Answer:

135 minutes

Step-by-step explanation:

1 hour= 60 minutes

2hours=60x2=120 minutes

120+15=135 minutes

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Drag the tiles to the correct boxes to complete the pairs
Find the missing the coordinates
A2.5 6.5 and 1) are
three vertices of square ABCD. What are
the coordinates of vertex
A2.33.37.33 and are
three vertices of square ASD What are
the coordinates of verte 2
O
AS-13.8.-1) and ansare
three vertices of rectangle ASD What
are the coordinates of vertex
A-L 4.80.4 and 7-13 are
three vertices of rectangle AS What
are the coordinates of verte

Answers

Answer:

I am trying to find the answer to this question as well, go to another website, maybe even Quizlet

Step-by-step explanation:

click image to see it all..... thank you ​

Answers

Answer:

x = 7.5

Step-by-step explanation:

Proportions:

5            x

_     =     _

6            9

Need help with this question?

Answers

Answer:

The equation is [tex]x^{2} +2\cdot x + 2 = 0[/tex]-

Step-by-step explanation:

According to the statement, we have a second order polynomial of the form [tex]A\cdot x^{2}+ B\cdot x + C = 0[/tex], whose solutions can be found by Quadratic Formula:

[tex]x_{1,2} = \frac{-B\pm \sqrt{B^{2}-4\cdot A\cdot C}}{2\cdot A}[/tex] (1)

Where [tex]A[/tex], [tex]B[/tex] and [tex]C[/tex] are the coefficients of the polynomial.

If roots are conjugated complex numbers, then:

[tex]B^{2}-4\cdot A\cdot C < 0[/tex] (2)

[tex]B^{2} < 4\cdot A \cdot C[/tex]

If we know that [tex]A = 1[/tex], [tex]C = 2[/tex] and [tex]x_{1,2} = -1\pm i[/tex], then we find that:

[tex]-1\pm i = -\frac{B}{2}\pm \frac{\sqrt{B^{2}-8}}{2}[/tex]

[tex]-2 \pm i\,2 = -B \pm \sqrt{B^{2}-8}[/tex]

By comparing each side, we have the following system of equations:

[tex]-B = -2[/tex] (3)

[tex]\sqrt{B^{2}-8} = 2[/tex] (4)

Whose solution is [tex]B = 2[/tex].

In a nutshell, the equation is [tex]x^{2} +2\cdot x + 2 = 0[/tex]-

For f(x) = -5x + 4, what is the value of x for which f(x) = 20

Answers

Answer:

- 3.2

Step-by-step explanation:

- 5x + 4 = 20

- 5x = 20 - 4

- 5x = 16

x = 16 / - 5

x = - 3.2

2x° + 14°
60°
X=
degrees.

Answers

2x+14=60(vertical)
2x=46
x=23

Answer:23

Step-by-step explanation:

23232332323223323232323232323

1 Secchie die Rechenregeln
b) 4 (70+30)
4. 70 + 30
c) 6 (50-40)
650 - 40 -
2.80 - 20
a) (90-30) - 3
90 - 30-3-
e) . (40 - 20)
7. 40 - 20 -
+) (80-10)
SO - 10.7
g) (40+60) 8 -
40 - 60 - 8
h) 250 + 50 5
(250+50). 5
i 360 - 60 6 =
(360-60). 6 =​

Answers

Answer:

4747484o5958583883

Step-by-step explanation:

fax bro just spitting fax

Find the distance to the nearest tenth
between the points (-4, 2) and (6, -3) on
the coordinate plane.

Answers

Answer:

d=11.2

Step-by-step explanation:

[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} \\ }[/tex]

[tex]d=\sqrt{(6-(-4)^{2}+(-3-2)^{2} }[/tex]

[tex]d=\sqrt{10^{2}+5^{2} }[/tex]

[tex]d=\sqrt{100+25}[/tex]

[tex]d=\sqrt{125}[/tex]

[tex]d=11.18[/tex]

[tex]d=11.2[/tex]

Help me ASAP HELP ME ASAP HELP ME ASAP

Answers

9514 1404 393

Answer:

  9%

Step-by-step explanation:

The interest earned is ...

  I = Prt . . . . . principal P at annual rate r for t years

Solving for r, we find ...

  r = I/(Pt) = $540/($3000×2) = 0.09 = 9%

The interest rate on Beka's loan is 9%.

Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the
same rate for the cost of one hot dog, how many more hot dogs would Winston need
to sell to earn a total of $175.00?
Show your work.

Answers

Answer:

He would need to sell 14 more hotdogs

Step-by-step explanation:

140/56= 175/x

140x= 9,800

x= 70

56-70= 14

Please be correct, HELP ASAP!!!!

Answers

[tex] \displaystyle \: x_{ \text{lesser}}= - 18.16\\ x _{ \text{greater}} = - 11.84[/tex]

Step-by-step explanation:

we are given a equation

we want to figure out x

add 10 to both sides:

[tex] \displaystyle \: (x + 15 {)}^{2} = 10[/tex]

square root both sides:

remember that,

[tex] \displaystyle \: a = \pm \sqrt{b} [/tex]

by that

[tex] \displaystyle \: x + 15 = \pm\sqrt{10} [/tex]

cancel 15 from both sides:

[tex] \displaystyle \: x = \pm\sqrt{10} - 15[/tex]

so

[tex] \displaystyle \: x_{ \text{lesser}}= - 18.16\\ x _{ \text{greater}} = - 11.84[/tex]

A pet store has 6 cats. Here are their weights (in pounds).
16. 9. 7. 9, 11, 16

Find the mean weight of these cats.
If necessary, round your answer to the nearest tenth.
pounds
?

Answers

2. 7-9=2 those are the middle two numbers so you subtract them to get 2
Your answer for this would be 2, hoped this helped!

Find the erea of the trapezoid.

Answers

Answer:

the area is 32

Base (a) 2

Base (b) 6

height (h) 8

Determine whether the figure is a parallelogram.

Answers

Answer:

The figure is a parralellogram

Step-by-step explanation:

it has 4 sides and one set is parallel

Solve the following polynomial equation by grouping and factoring. 4y^3 – 9y=0 Enter the exact answers. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter. y = ​

Answers

Answer:3/2

Step-by-step explanation:

Ina class of 44 pupil 3/4 are girls . How many girls would be there altogether.

Answers

Answer:

33 girls

Step-by-step explanation:

This is the answer because:

1) 3/4 of 44 is 33 because 1/2 of 44 is 11

               a) 11 x 3 = 33

Hope this helps! :)

Answer:

33 girls

Step-by-step explanation:

44/4= 11

11x3=33

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