In 2 years, Duncan wants to buy a bicycle that costs $400.00. If he opens a savings account that earns 11% interest compounded annually, how much will he have to deposit as principal to have enough money in 2 years to buy the bike?

Answers

Answer 1

Answer:

Current deposit amount  = $324.65 (Approx.)

Step-by-step explanation:

Given:

Cost of bicycle = $400

Future amount = $400

Rate of interest = 11% = 0.11

Number of year = 2 year

Find:

Current deposit amount

Computation:

Compound interest formula

A = P[1+r]ⁿ

Future amount = Current deposit[1+Rate of interest]ⁿ

400 = Current deposit[1+0.11]²

400 = Current deposit[1.11]²

400 = Current deposit[1.2321]

Current deposit amount  = 400 /1.2321

Current deposit amount  = $324.65 (Approx.)


Related Questions

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

A

Step-by-step explanation:

it's done by pythagoreans theorem

√25-9=4

A good luck............

please help i don't know what to do

A slope and x-intercept

B slope and y-intercept

C Slope and a point that is not an intercept

D x-intercept and y-intercept

E y- intercept and a point that is not an intercept

F two points that are not a intercepts ​

Answers

Answer:

5

It is that because I know this

The graph of the function f(x) = sin(x) is shown. What is the domain of the function?

Answers

Dear TOASTYPRIME. This is a link free,no posting link here only answers.

kyle started at 0ft. went down 15 feet and then up 5 ft . what distance did he travel?

Answers

Answer:

20 ft? im not 100% sure tho

Step-by-step explanation:

well technically he travelled 20 feet but he’s 10 feet down.

The soup pot is 8.5 inches tall with a radius of 4 inches

Answers

The volume of the cylinder in question is 427.26 inches.

The volume of the cylinder is 427.04 inches 2.

soup pot is 8.5 inches tall

radius of 4 inches.

What is volume?

Volume, is defined as the ratio of the mass of object to its density.

Volume of cylinder = 3.14r^2h
Volume of cylinder = 3.14 x 4 x 4 x 8.5
Volume = 427.04 inches 2

Thus, the required volume is 427.04 inches 2

Learn more about Volume here:
https://brainly.com/question/1578538


#SPJ2

There are 185 deer in a state park. The population is increasing at the rate of 16% per year. Enter a
prediction for how long it will take the population to reach 305. If necessary, round your answer to the nearest tenth.

The deer population will reach 305 in approximately _____
years.

Answers

Answer:

Approximately 3.4 years more or less

Step-by-step explanation:

If we represent this exponential growth as P=185(1.16)^n where n is the number of years passed and P is the population, then:

P=185(1.16)^n

305=185(1.16)^n

1.65=1.16^n

log₁.₁₆(1.65)=log₁.₁₆(1.16^n)

3.37=n

So the deer population will reach 305 in approximately 3.4  years.

In a survey of 400 people, 65% sald they owned a dog. How many people own a dog?

Answers

Answer:

260 people own a dog.

Step-by-step explanation:

Think of the equation as this:

65% of 400 people own a dog.

Since "of" in a math equation means to multiply, replace of with a multiplication sign.

65% * 400 = 260 people own a dog.

To check you're answer, make the fraction 260/400 into a percent.

260/400 = 65%

Have a nice day!!! ;D

[tex]\sqrt[3]{32}[/tex]

Answers

Answer:

2[tex]\sqrt[3]{4}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{8}[/tex]·[tex]\sqrt[3]{4}[/tex] = [tex]\sqrt[3]{2^3}[/tex] · [tex]\sqrt[3]{4}[/tex] = 2 [tex]\sqrt[3]{4}[/tex]

please help I'm tired asking 11 times

Answers

Answer:

We aren't going to do all your homework for you. That's why no one is answering. If you have one specific question, I can help. No one is going to do this whole assignment/homework.

PLEASE HELP!!!!!!! GIVING BRAINLIEST!!!!!!!

Answers

Answer:

side CB

Step-by-step explanation:

draw triangles ABC and ACD next to each other

The longer leg of the triangle ABC is CB, which corresponds with the longest leg of ACD, which is side CD

Answer:

corresponded side

CD=CD

AC=AB

AD=AC

Which expression has a value of 252?

Answers

Step-by-step explanation:

6^3+6^2=216+36=252

25^2=625

hope that helps :)

Answer:

6^3 + 6^2

Step-by-step explanation:

6^3+6^2=216+36=252

25^2=625

625≠252

Hope this helps =]

Help!!!!!!!!!!!!!!!!!!!!!

Answers

A because the circle is empty and the line is going backwards

The answer is c.

This is cause < without the line means that the b is greater than, so the circle is not going to be filled in. -1, 0, 0.5, and 1 are all greater than -1.5 which means that b could be any of those numbers. So yea. I hope this helps!

The school is trying to paint one side of the curved dividers as show below for the computer lab. The
can of paint is able to cover an area of 25ft?. Will this be enough paint? Select the best answer.

Answers

Answer:

Yes, because the area of one side of the divider is approximately 24ft^2

Answer:

yes 24 squared

Step-by-step explanation:

Math Nation

show how you solved the problem

Answers

Where is the problem??? I can’t see it.
Where is the problem?

The fifth graders all decided to have a race afterwords Kylie was so thirsty she drank 3 pints of water Valentina was also thirsty so she drank 24 fluid ounces of water who drank more water Kylie or Valentina?

Answers

Answer:

Kylie drank more water than Valentina

Step-by-step explanation:

I know that Kylie drank more water than Valentina.

I know this because I took 3 pints and found how many fluid ounces that would equal. 1 pint is equivalent to 16 fluid ounces. So, three pints would be equal to 48 fluid ounces. 16x3=48

Valentina drank 24 fluid ounces.

48 is greater than 24, so Kylie drank more water than Valentina.

The two triangles are similar. Determine the values of x, y, and z.

Answers

Answer:

y= 20 m

x= 15 m

z= 22 degree

Step-by-step explanation:

15+x=30 m

x=30-15

x= 15 m

z-18=40

z= 40-18

z= 22m

A wasp is a flying insect. In wasps, wing length is coded for by a single gene. Two scientists studying wasps hypothesize that short wings are recessive to long wings. Which of the following observations best supports this hypothesis?


Wasps with long wings are less likely to survive.


Wasps with long wings can produce offspring with short wings.


Wasps have wing lengths ranging from very long to very short.


Wasps with short wings prefer to mate with wasps with long wings.

Answers

Answer:Wasps with long wings are less likely to survive.

Step-by-step explanation:Because offsprings can happen is diffrent ways say a bird had a offsring that made it have one leg it wouldent sureive to the standers of a bird with 2 legs same goes for other animals sorry if there is some spelling misakes hope this helped:)

y = −2x + 1
4x + 2y = −2

Answers

The answer I got is that there are no solutions. The slope of these two lines are the same so they will never cross paths.

ANWER FAST PLS WILL GIVE BRANLIEST

Answers

Step-by-step explanation:

the sum of angle jnm and knp should be 90°

so (7x+2)+(10x+3)=17x+5=90

x=5

so angle knp is 53°

lnk is 90-53=37°

jnm is 37°

jnl js 180-37=143°

jnl is 37+90=127°


Select the action you would use to solve x - 3 - 12. Then select the property
that justifies that action.
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Subtract 3 from both sides.
D. Property: Addition property of equality
E. Property: Multiplication property of equality
F. Property: Subtraction property of equality

Answers

The correct answer is letter F and E

I NEED ASAP! IF ANY TROLLS OR LINKS ARE COMMENTED I WILL REPORT THEM. GIVING BRAINLIEST TO THE FIRST WHO ANSWERS CORRECTLY PLEASE HURRY!
04.04) Point R is at (2, 1.2) and Point T is at (2, 2.5) on a coordinate grid. The distance between the two points is such as 8.2.) (Input numbers and decimal point only, ​

Answers

The distance between the two points is 1.3.

can you help me please

Answers

Answer:

D

Step-by-step explanation:

11 1/4 divided by 3= 3.75 (3 3/4)

Answer:

d) [tex]3\frac{3}{4}[/tex] pounds

Step-by-step explanation:

Hi there!

What we know:

- Sarah has [tex]11 \frac{1}{4}[/tex] pounds of dog food

- Sarah is dividing this into 3 containers

1) Convert [tex]11 \frac{1}{4}[/tex] into an improper fraction

[tex]11 \frac{1}{4}[/tex]

Multiply the whole number by the denominator

11 × 4 = 44

Add 44 to the numerator

44 + 1 = 45

[tex]\frac{45}{4}[/tex]

2) Divide [tex]\frac{45}{4}[/tex] by 3

[tex]\frac{45}{4} / 3[/tex]

Dividing by a number is the same as multiplying its reciprocal

[tex]= \frac{45}{4} *\frac{1}{3}[/tex]

Multiply the numerators and the denominators

[tex]45*1 = 45\\4*3 = 12[/tex]

[tex]= \frac{45}{12}[/tex]

3) Convert [tex]\frac{45}{12}[/tex] into a mixed number fraction

[tex]\frac{45}{12}[/tex] ⇒ [tex]3\frac{3}{4}[/tex]

Therefore, there will be [tex]3\frac{3}{4}[/tex] pounds of food in each container.

I hope this helps!

A countertop is in the shape of a trapezoid. The lengths of the bases are 70 1/2 and 65 1/2 inches long. The area of the countertop is 1,224 square inches. Write and solve an equation to find the height of the countertop.

Answers

Answer:

18

Step-by-step explanation:

hope this helps

Which of the following is the best estimate of √80?

Answers

Answer:

√80=4√5 is your answer look it once

if one of the factor of x2 + x - 20 is (x+5).find the other.
a.x-4
b.x+2
c.x+4
d.x-2​

Answers

Answer:

a,x-4

hope it helps .....

X=
4
6
12
Plzzz help

Answers

Answer:

x = 12

Step-by-step explanation:

3x = 6² = 36

x = 12

Your answer will be x = 12

Andre correctly solved an equation using the steps shown:

What does Andre’s work show us about the type of solution to the equation? How do you know?

PLEASE ANSWER LEGITIMATELY! THANK YOU!

Answers

Answer:

This equation has zero solutions.

Step-by-step explanation:

This equation has zero solutions because 2 is not equal to zero.

Find the median for the data set. 1, 1, 2, 6, 3, 1, 6, 6, 3

Answers

The median for the data set is 3

perform the following Elementary row operation on the augmented Matrix​

Answers

9514 1404 393

Answer:

  [tex]\left[\begin{array}{cc|c}-6&3&-4\\0&-3&11\end{array}\right][/tex]

Step-by-step explanation:

The designated sum can replace either row. Consult your curriculum materials for the intent.

Here, we'll replace row 2 with the sum.

  3(2, -2, 5) +(-6, 3, -4) = (3(2)-6, 3(-2)+3, 3(5)-4) = (0, -3, 11)

After the row operation replaces the second row, the augmented matrix is ...

  [tex]\left[\begin{array}{cc|c}-6&3&-4\\0&-3&11\end{array}\right][/tex]

Answer:

3(2, -2, 5) +(-6, 3, -4) = (3(2)-6, 3(-2)+3, 3(5)-4) = (0, -3, 11)

After the row operation replaces the second row, the augmented matrix is ...

  \begin{gathered}\left[\begin{array}{cc|c}-6&3&-4\\0&-3&11\end{array}\right]\end{gathered}[−603−3−411]

arrange the following whole numbers in increasing and decreasing order​

Answers

Answer:

Increasing Order:

34, 71, 269, 976, 16759, 49753, 796542

Decreasing Order:

796542, 49753, 16759, 976, 269, 71, 34

Other Questions
Which excerpt from the text uses imagery to describe Boxer?nearly eighteen hands highnot of first-rate intelligencehe was universally respectedhis steadiness of character punctuate the following sentence:- william and his family including the young children fritz ernest jack and frank were left to survive alone PLEASE HELP i need it within like 10 mins Guys pls help me!!!!! A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the 2004 season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance?Saturday Sales Data ($) for Ski HatsSaturday East Side Shop West Side Shop1 548 5232 493 7213 609 6954 567 5105 432 532Required:a. State the decision rule for 5 percent level of significance.b. Find the test statistic tcalc. You are considering buying organic milk at the grocery store. A gallon of organic milk costs $1.00 more than a regular gallon of milk. Write an equation to represent the additional cost (C) of buying a gallon of organic mik over time (t) where x represents the cost of a gallon of regular milk The Chilton Corporation specializes in manufacturing one type of desk lamp. Chilton allocates variable manufacturing overhead costs on the basis of machine hours. Chilton budgeted 0.3 machine hours per lamp and allocates overhead at a rate of $1.90 per machine hour. Last year Chilton manufactured 19,000 lamps, used 7,600 machine hours and incurred actual overhead costs of $12,920. What was Chilton's variable manufacturing overhead efficiency variance last year? A. $9,660 favorable B. $4,140 unfavorable C. $4,140 favorable D. $9,660 unfavorable 2x+3=4x(3x-5)what is the value of x I need the the 4 leaders HELPP URGENT!16. Guests who rent kayaks at a campground must pay an insurance fee and are chargedfor each hour they use the kayak. Last year, the total cost for a guest to rent a kayak forx hours was modeled by the expression 6 + 8x.This year, the campground doubled the cost per hour for renting a kayak but kept theinsurance fee the same.Which expression models the total cost for a guest to rent a kayak for x hours at thecampground this year?A. 12 + 8xB. 6 + 16xC. 6 + 4xD. 3 + 8x Which three terms best describe the level of organization of life shown in this photo? A. Ecosystem I B. Biosphere C. Biotic factors D. Abiotic factors PLEASE HELP!I AM IN A HURRY For "Sweat" by Zora Neale Hurston: how does the author's characterization of Bertha help reveal delias attitude toward sykes affairs? How did the Enlightenment affect the French Revolution?French revolutionaries sought to create a society in which the rights of the individual would be more important than those of the governmentBThe revolution helped revitalize the French economy by adopting an economic system based on the natural laws of supply and demand.CThe supporters of the revolution wanted to institute a new constitution in which women would be given a more equal status to that of men.DRevolutionaries hoped to establish a new legal system in which an absolute monarchy would govern according to Enlightenment principles. Jack was so enthusiastic about the band he saw performing at a local club last weekend that he convinced a group of friends to go to the club to hear this band on Thursday. Unfortunately, the bands performance was uninspired and at times off-key. The performance difference demonstrates the _____ characteristic of services. help me pleaseeeeeeeeeeee Brown fur is dominant to white fur in rabbits. If a purebred white rabbit mates with a heterozygous brown rabbit: a. What are the genotypes and phenotypes that will be present in their offspring? b. What percentage of their offspring will be white? Match each system of equations to the inverse of its coefficient to the inverse of its coefficient matrix, A^-1, and the matrix of its solution, X. please who can form three names from this name immaculate, Daniel, Rita when join together: l mean join the names together and form three names The value of a specific piece of machinery depreciates at a rate of 10% per year. The initial value of the machinery is $400. Write a formula that models the value of the machine after "t" years.Please answer fast thank you