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

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!

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°

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

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.

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:)

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

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.

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

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.

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

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.

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.

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!

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.

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

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

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]

[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]

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

show how you solved the problem

Answers

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

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 =]

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


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

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 .....

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

Answers

Answer:

√80=4√5 is your answer look it once

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

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.
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