Avery invested $3,800 in an account paying an interest rate of 5\tfrac{1}{2}5
2
1

% compounded monthly. Serenity invested $3,800 in an account paying an interest rate of 6\tfrac{1}{8}6
8
1

% compounded continuously. After 17 years, how much more money would Serenity have in her account than Avery, to the nearest dollar?

Answers

Answer 1

After 17 years, Serenity has $778 more than Avery

The formula for calculating the compound amount is expressed according to the formula;

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

For Avery;

P = $3,800

rate = 5 1/2 % = 0.055

time = 17 years

n = 12 (monthly compounding)

Substitute into the formula to have:

[tex]A=3800(1+\frac{0.055}{12} )^{12(17)}\\A=3800(1+0.00458)^{204}\\A=3800(1.00458)^{204}\\A=3800(2.5401)\\A = \$9,652.22[/tex]

Hence the amount that will be in Avery's account after 17years is $9,652

For Serenity;

P = $3,800

rate = 6 1/8 % = 0.06125

time = 17 years

n = 1 (continuous compounding)

Substitute into the formula to have:

[tex]A=3800(1+\frac{0.06125}{1} )^{1(17)}\\A=3800(1+0.06125)^{17}\\A=3800(1.06125)^{17}\\A=3800(2.7473)\\A = \$10,439.62[/tex]

Hence the amount that will be in Serenity's account after 17years is $10,430.

Amount Serenity have more than Avery = $10,430 - $9652 = $778

Learn more on compound amount here: https://brainly.com/question/18442810


Related Questions

Find the circumference of the circle shown below if the diameter equals 20 inches. Use 3.14 for π

A)62.8
B)31.4
C)None of these answers
D)1,256
E)314

Answers

Answer:

62.8 inches

Step-by-step explanation:

c = πd

c = 3.14 * 20

c = 62.8 inches

Sangay runs 2/3 hours each day. how many hours does he run in two weeks?​

Answers

Answer:

Step-by-step explanation:

2/3 x 14 = 28/3 = 9 1/3 hours in two weeks

A cylinder has a height of 12 inches and a radius of 1.5 inches. What is its voulme? Round your answer to the nearest tenth. Use 3.14 for TT.

Answers

Answer:

It's volume is of 84.78 cubic inches.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder with radius r and height h is given by:

[tex]V = \pi r^2h[/tex]

A cylinder has a height of 12 inches and a radius of 1.5 inches.

This means that [tex]h = 12, r = 1.5[/tex]

What is its volume?

[tex]V = \pi r^2h = 3.14(1.5)^2(12) = 84.78[/tex]

It's volume is of 84.78 cubic inches.

The numbers 1-11 are placed in a bag. What is the probability of drawing a prime number?

Answers

Answer:

1 3 5 7 11 are all prime numbers and out of 11 numbers, 5 are prime so 5/11

Step-by-step explanation:

Give me brainiest answer please! :D

2, 3, 5, 7, and 11 are prime numbers. So out of 11 numbers five are prime numbers. You have 5/11 probability of drawing a prime number. I hope this helped, Goodluck! :)

find the missing angles

Answers

Answer:

[tex] {b}^{o} = {118}^{o} [/tex]

Step-by-step explanation:

Hint :

Sum of angles = 180°

Simplify :

[tex] {29}^{o} + {33}^{o} + {b}^{o} = {180}^{o} [/tex]

[tex] {62}^{o} + {b}^{o} = 180^{o} [/tex]

[tex] { b}^{o } = {180}^{o} - {62}^{o} [/tex]

[tex] {b}^{o} = {118}^{o} [/tex]

Hope it is helpful....

i need help please!!!!!!

Answers

Answer:

THE ABSWER IS OPTIOM 1 AINCE ITS BEE SIMPLE AND IR CAN BE MORE IF U CAN TRY BUT U DONT NEED TK

Answer:

Step-by-step explanation:

Choose the graphs that indicate equations with no solution

Answers

Answer:

A and E

Step-by-step explanation:

Given

Graphs A to E

Required

Which do not have solutions

When there are no point of intersection between lines and/or curves of a graph, then such graph has no solution.

Using the above description as a yard stick, the first (A) and the last (E) graph have no solution.

Kyle volunteered 5.5 hours at the library this week. He needs to volunteer a total of 12 hours. Which equation can be used to find the number of hours, h, Kyle still needs to volunteer this week?​

Answers

12-5.5=h hope it helps

Will mark brainliest! Problem is in pic below, no links please. Give explanation. Thanks.

Answers

Answer:

2^12

Step-by-step explanation:

answer is in photo above

Solve the equation x - 15 = 42.

X=______​

Answers

Answer:

[tex]x - 15 = 42 \\ x = 57[/tex]

Answer:

x = 57

Step-by-step explanation:

x - 15 = 42.

Add 15 to each side

x - 15+15 = 42+15

x = 57

What is the value of y?

Answers

Answer:

The answer is C (46)

Step-by-step explanation:

Since the measurement of the triangle is 180 then you must subtract 180 by 88 to create 92 and divided that 92 by 2 to get 46.

When factored completely, the expression 6x3 – 5x2 – 13x + 12 is
equivalent to
a. (2 – 1)(2x - 3)(3x + 4)
b. (x + 1)(2x + 3)(3x + 4)
c. (x + 1)(2x − 3)(3x – 4)
d. (x - 1)(2x + 3)(3x – 4)

Answers

Answer:

d. (x - 1)(2x + 3)(3x - 4)

Step-by-step explanation:

6x³ - 5x² - 13x + 12

6x³ + x² - 12x - 6x² - x + 12

x(6x² + x - 12) - 1(6x² + x - 12)

(x - 1)(6x² + x - 12)

(x - 1)(6x² + 9x - 8x - 12)

(x - 1)(3x(2x + 3) - 4(2x + 3))

(x - 1)(2x - 3)(3x - 4)

Answer:

( x - 1 )( 2x + 3 )( 3x - 4 )

Step-by-step explanation:

Hope this helps!

If my house is 7 miles away from the store. And the average human walks at 5 mph.

Why has it taken my dad 18 years to get milk?

Answers

Answer:

My best guess is because of so many different factors whether they're envirornmental or himself or anything is possible.

Please mark as Brainliest

Hope this Helps

Because the walk is very far
Don’t mind my answer just want someone to answer mine

jessica has at least 20 pairs of shoes in her closet

Answers

What’s the question

#6
A. 1/25
B. 2/45
C.1/5
D. 1/18

Answers

The answer to this question is Probably B

(Geometry/shapes) Hi, can any expert guide me in solving this problem? or someone who knows this?
Trapezoid and Kites. (picture below)

Answers

69

Step-by-step explanation:

angles 111 and 3 are the same. in a trapezoid bottom base angles are the same and the top base angles are the same. so in order to find angle 2 you must subtract 111 from 180 because the top angles are supplementary to the bottom

180 - 111 = 69

Answer:

The answer will be 69

This is because angle 3 would also be 111

Angles in a quadrilateral add up to 360

So, 360-(111+111)

=138

there are two angles left, angle 1 ND 2, THEY ARE THE SAME VALUE. So DIVIDE 138 by 2, and you would get your answer 69 degrees.

Hope this helps!!

if you get this right i’ll give the brainliest answer

Answers

Answer:

[tex]c=108.17[/tex]

Step-by-step explanation:

Use Pythagoras theorem to find the hypotenuse:

[tex]c^{2} =a^{2} +b^{2}[/tex]

In this question, take "b" as 90' and "a" as 60'

[tex]c^{2} =60^{2} +90^{2}[/tex]

[tex]c^{2} =3600+8100[/tex]

[tex]c^{2} =11700[/tex]

[tex]c=\sqrt{11700}[/tex]

[tex]c=108.1665383[/tex]

[tex]c=108.17[/tex]

I hope this helps.....

ILL GIVE YOU BRAINLIEST IF YOU GET IT RIGHT AND EXPLAIN
A circular walkway surrounds a fountain.The fountain alone has a diameter of 16 feet.The walkway adds an additional 4 feet to each side. What is the area of the walkway minus the area of the fountain. Use 3.14 for Pi.​

Answers

Answer:

a = 452.16 ft²    area of walkway

a = -351.68 ft²   area of the walkway minus the area of the fountain

Step-by-step explanation:

Area fountain

a = π16²

a = 256π

Area fountain and walkway

a = π(16 + 4)²

a = π20²

a = 400π

Area Walkway

a =400π - 256π

a = 144π

a = 144 * 3.14

a = 452.16 ft²

------------------------------

I think the Area of the Walkway is what the question should be asking for, but it asked for

"the area of the walkway minus the area of the fountain"

a = 144π - 256π

a = -112π

a = -112 * 3.14

a = -351.68

Need assistance in processing this equation?

Answers

Where’s the equation??

if f(x)=3x-2 and g(x)=2x+1, find (f-g)(x)

A. x-3
B. 5x-3
C. 5x-1
D. 3-x​

Answers

Answer:

A. x-3

Step-by-step explanation:

f(x)=3x-2 and g(x)=2x+1

(f-g)(x) = 3x-2  - (2x+1)

           Distribute the minus sign

(f-g)(x) = 3x-2  - 2x-1

       Combine like terms

           = x -3

someone please help me answer this

Answers

Answer:

77.91 units²

or

77.91 square units

Step-by-step explanation:

the area of a circle is A=pi*r²

since we only need a certain fraction, we will multiply it with 62/360

62° is the given angle. 360° would be the full circle

A = pi * 12² * 62/360

note that the answer is in square units, bc in "r²" the units themselves get squared, even tough we don't know if its inch or kilometers, its definitely squared

According to ADA guidelines, at most, an incline can be 8.5°. Is the following incline acceptable? If yes, prove it. If not, explain why and change one dimension in the design so that it would be.​

Answers

Answer:

Let the angle is x.

We have:

tan x = 15/90tan x = 1/6x = arctan (1/6)x ≈ 9.5°

Since 9.5° > 8.5° it is not acceptable.

If the angle is 8.5° and the height is x, then we have:

tan 8.5° = x / 90x = 90 tan 8.5°x = 13.45 ft

The height is at most 13.45 ft

what's nine plus ten

Answers

Answer:

21

Step-by-step explanation:

2Kewl4U!but the actual answer is 19

Answer:

Hi, it's 19

Step-by-step explanation:

9+10=19   or    10+9=19

What are the coordinates of the vertex of the graph of y = x2 + 8x + 1?

Answers

Answer:

y= x2 + 8x - 1 is y=(x+4) 2-17

Step-by-step explanation:

First find  - b/2 = - 4, so  -4 will be added to x inside the parenthesis.

Next , find c - b2 to find the value you added at the end

y= (x- b2) 2 + c - b2

y= (x+4) 2 - 17

why is the expiry date necessary​

Answers

Are you serious right now?

Answer:

Expiration dates are especially important for medications because they offer the only indication about whether the product is still safe to use. Food items, on the other hand, often look or smell bad when they have passed their "best-buy" dates.

Step-by-step explanation:

Twenty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 60% can be repaired, whereas the other 40% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly four will end up being replaced under warranty

Answers

Answer:

0.0052 = 0.52% probability that exactly four will end up being replaced under warranty.

Step-by-step explanation:

For each telephone, there are only two possible outcomes. Either they are replaced under warranty, or they are not. The probability of a telephone being replaced under warranty is independent of any other telephone, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Twenty percent of all telephones of a certain type are submitted for service while under warranty. Of those, 40% are replaced.

This means that [tex]p = 0.2*0.4 = 0.08[/tex]

Company purchases ten of these telephones.

This means that [tex]n = 10[/tex]

What is the probability that exactly four will end up being replaced under warranty?

This is P(X = 4). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{10,4}.(0.08)^{4}.(0.92)^{6} = 0.0052[/tex]

0.0052 = 0.52% probability that exactly four will end up being replaced under warranty.

the sum of three numbers is 59. the second number is less than the first. the third number is 2 times the first. what are the numbers?

Answers

There should be multiple answers here.

15 + 14 + 30 = 59

Or

16 + 11 + 32 = 59

Or

17 + 8 + 34 = 59

I’m sure there’s more but these are just the few I did.

Stephan con run 3 miles in 15.75 minutes. Keisha con run 5 miles in 22.6 minutes. Who can run faster?​

Answers

Answer: Keisha can run faster than Stephan.

Step-by-step explanation:

Let's figure out how long it takes for them to run a mile.

[tex]\frac{15.75}{3} =5.25\\\frac{3}{3} = 1[/tex]

It would take Stephan 5.25 minutes to run a mile

[tex]\frac{22.6}{5} =4.52\\\\\frac{5}{5} =1[/tex]

It would take Keisha 4.52 minutes to run a mile

Since Keisha takes less time to run a mile she is faster.

Answer:

Keisha can run faster

Step-by-step explanation:

Stephan can run

3 miles in 15.75 min.

so divide  15.75 by 3 min which would give you:

5.25 mi.

Now Keisha can run

 5 miles in226 min  

now divide 22.6 by 5 min which would give you

4.52 min

so that means Stephan can run faster then Keisha since 4.52<5.25

Keisha can run faster, since  4.52<5.25

Find the area of the figure shown

Area = ------- square yards

Answers

Answer:

70

Step-by-step explanation:

area = l×w×h

area= l×h

2l×2h

NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.Don't guess please.

Simplify: [3(2a)^3/2]^2

A: 24a^3

B: 34^4√2a^9

C: 216a^3

D: 72a^3

Answers

Answer:

the answer is A........

The correct answer would be A. 24 a^3

Other Questions
la comodala mesita de nocheParts of the bedroom in SpanishLa camalarmaO A. la baera, la ducha, el inodoro, el lavaboO B. la estufa, el lavaplatos, el microondas, el refrigeradorO C. el armario, la cama, la cmoda, la msesita de nocheO D. la estantera, la mesa, la silla, el sof, el televisoroh I need help pleaseee What images do you see in the art work?How does this art work reflect the era? What is an independent marker? a. A word used to connect independent clauses c. A word that identifies a dependent clause b. A word used to connect dependent clauses d. All of the above a 0.5 mol sample of N2 is in a 6L container at 2 atm. what is the temperature of the gas in K what breaks down the food we eat Watch the film madame butterfly and base from it fill in table with the needed information actors genre voice facial expression movements music venue gudience need ko po asap now na tenkyu What was the status of Ukraine in 1986? A) An independent countryB) A satellite stateC) A Soviet socialist republic suppose you are the owner of a sari sari store and you have 8 pieces of different canned goods [ligo, 555,mega,Young`s town,saba ,blue bay,and century]]and you areonly allowed to diplay 7 canned goods on the shelflist down all the possible combinations?PLSS!!!! HELP ME WITH THIS I NEED SOLUTION... The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from a helicopter.From what height is the object dropped? Explain how you know. What verb can go in the blank? Tourists ______ warmer climates in the winter. Read the excerpt from Twelve Years a Slave Chapter 9:"Oh! how heavily the welght of slavery pressed upon me then. I must toll day after day, endure abuse andtaunts and scoffs, sleep on the hard ground, live on the coarsest fare, and not only this, but live the slave of ablood-seeking wretch, of whom I must stand henceforth in continued fear and dread. Why had I not dled inmy young years-before God had given me children to love and live for? What unhappiness and suffering andsorrow it would have prevented. I sighed for liberty; but the bondman's chain was round me, and could not beshaken off. I could only gaze wistfully towards the North, and think of the thousands of miles that stretchedbetween me and the soil of freedom, over which a black freeman may not pass."Examine the bolded portions of the passage that describe the emotions created in Northup as a result of this conflict ofman versus soclety (Northup versus slavery). From these words and phrases, can you conclude how slavery makesNorthup feel? The government has imposed a fine on the Imperial Company. The fine calls for annual payments of $100,000, $250,000, and $250,000, respectively over the next three years. The first payment is due one year from today. The government plans to invest the funds until the final payment is collected and then donate the entire amount, including investment earnings, to a national health center. The government will earn 3.5% on the funds held. How much will the national health center receive three years from today why are prophets are respected in their country what is the solution set of (-1/3,4) 5.Square Given:a =12m,A=Pa help po A Long Way Home using ACEASAP PLZ Question 8 of 10Suppose f(x) = x2 and g(x)= Which statement best compares thegraph of g(x) with the graph of f(x)?O A. The graph of g(x) is the graph of Ax) shifted units left.O B. The graph of g(x) is the graph of f(x) horizontally stretched by afactor of 5.O c. The graph of g(x) is the graph of f(x) vertically stretched by afactor of 5.O D. The graph of g(x) is the graph of f(x) horizontally compressed by afactor of 5.SUBMIT 2. El edificio Platinum, ubicado en Santiago, se mece con una frecuencia aproximada a 0,10 Hz. Cul es el periodo de la vibracin? Solve for in x in 4+3 (2x-4)=28