Mathematics College

You deposit $200 each year for 10 years into a sinking fund that pays 6% interest compounded annually what is the future value of your fund

Answers

Answer 1

Answer:

FV= $2,636.16

Step-by-step explanation:

Giving the following information:

Annual deposit (A)= $200

Number of periods (i)= 10 years

Interest rate (i)= 6%

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

FV= {200*[(1.06^10) - 1]} / 0.06

FV= $2,636.16

Related Questions

algebra 2 question need help thanks.

Answers

B is the correct answer

doctors use gallium in scanning some patients for diseases the table shows the amount of gallium in mg remaining in a patients system after t hours which exponential function best represents the data.

Answers

Step-by-step explanation:

no sn as. kojsshsusishheidhsusjjsbsbshsbsjs7ehsjsnkosvsjsishshshsjdjjddyfygyvrcudjdhdudhsjsudhdjs

Triangle PQR with area 32cm square and base QR is an enlargement of Triangle ABC with area 8 cm square and base BC=3cm , what is the length of QR in cm?
a) 6
b) 8
c) 10
d) 12

Answers

Answer:

6 cm (Option A)

Step-by-step explanation:

GIVEN :-

ΔPQR whose area is 32 cm² & has base QR.ΔABC whose area is 8 cm² & has base BC = 3 cmΔPQR is an enlarged figure of ΔABC.

TO FIND :-

Length of QR

FACTS TO KNOW BEFORE SOLVING :-

Lets say there are two triangles ΔABC & ΔXYZ , who are similar to each other.

[tex]=> \frac{Area \: of \: ABC}{Area of XYZ} = (\frac{AB}{XY})^ {2} = (\frac{BC}{YZ})^2 = (\frac{AC}{XZ} )^2[/tex]

SOLUTION :-

In the question it's given that ΔPQR is an enlarged figure of ΔABC.

⇒ ΔPQR is similar to ΔABC.

[tex]=> \frac{Area \: of \: PQR}{Area \: of \: ABC } = (\frac{QR}{BC})^2[/tex]

[tex]=>\frac{32}{8} = (\frac{QR}{3})^2[/tex]

Root squaring both the sides ,

[tex]=> \sqrt{(\frac{QR}{3})^2} = \sqrt{\frac{32}{8} }[/tex]

[tex]=> \frac{QR}{3} = \sqrt{4} =2[/tex]

Multiplying both the sides by 3 ,

[tex]=> \frac{QR}{3} \times 3 = 2 \times 3[/tex]

[tex]=> QR = 6 \:cm[/tex]

If h(x) = x - 7 and g(x) = x², which expression is equivalent to (gºf)(5?
O (5-7)2
(5)²-7
O (5)? (5 – 7)
O (5-7) x²

Answers

Answer:

(5^2)(5-7)

Step-by-step explanation:

So we know h(x)=x-7.

We also know g(x)=x^2

We need to plug in these values for (g*h)(5)

This would equal:

((x-7)*x^2)(5)

Since parthese can also be considered multipcation symbols, we can think of this as:

(x-7)(x^2)(5)

Lets distrubute the 5 to all the x's:

(5-7)(5^2)

Which is:

([tex]5^{2}[/tex])(5-7)

This looks like answer C.

Hope this helps!

Solve the Exponential Equation:
[tex]5 { }^{66} = {3}^{42} [/tex]

Answers

Answer:
.........

Work:

I NEEED NEED NEED HELP

Answers

Answer:

The answer for this question is 42

(-1) × (-1) × (-1) × (-1) x (-1)

Answers

( - 1 )^5 = - 1

.....................

Answer:

the answer is -1 have a nice day

How many students were questioned about the approximate number of text messages they send each day? Explain or

show how you arrived at your answer.

Answers

Do you have anymore information that doesn’t help that much

Solve the formula Ax + By = C for X

Answers

Answer:

Step-by-step explanation:

Ax+By=C

Ax=C-By

x=C-By/A

Help with 5+5-3 please

-0.171572875
Mmmmmaqq

Please help I am super confused and would really appreciate it ♥️♥️♥️♥️

Answers

x---- independent variable

f(x)--- dependent variable(can also be "y")

The dependent variable (fx) is the output or you can say... For every value of the independent variable (x)...There's a unique value for the dependent variable.

Ok... Lemme explain

Say you have an equation

f(x)=2x+1

let x be take value from all natural Numbers (1,2,3..….)

When x is 1

f(x) = f(1) = 2(1)+1

when x is 2

f(x)=f(2) = 2(2)+1 =5.

So for every x value... There's a unique value for f(x).

You dig?

Now

let's proceed to your question.

We're already given tbe values of x and f(x)

What we now need to find is the equation that corresponds to the values being gotten

From the table

When x =1 ...….f(x)=8

When x=2 .........f(x) = 32

When x=3 ...........f(x)=128

Etc

Which equation from the options will give you these values of f(x)???

You're gonna have to test run it quickly by puttinh values of x and see if they'll give the corresponding value of f(x).

Fun right?

OK. From Observation....

OPTION A WILL DO THE JOB.

f(x)=2.4^t where "t" represents x in this case.

Input your values of x in this

You'll get the exact f(x) value

when x= 1... f(x)= 2.4¹ =8

x=2 ..….f(x) = 2. 4² = 2.16 = 32.

OPTION A IS OUR ANSWER.

HAVE A GREAT DAY BRO!

help? (i mark brainlist)

Answers

Answer:

Step-by-step explanation:

Since it says greater than, that means that it cannot be B or D. And ≥ means greater than or equal to and they don't state that in the problem. So the answer would be A.

I HOPE THIS HELPED! :)

Which product is represented by the model below

Answers

Answer:

A. 3/8*2=6/8

Step-by-step explanation:

Think about a whole number as (whole number)/1

(2/1)

make 2 a fraction

[tex]\frac{1}{9}[/tex]÷[tex]\frac{2}{1}[/tex]

cross multiply

1*1

9*2

[tex]\frac{1*1}{9*2}[/tex]

[tex]\frac{1}{18}[/tex]

Answer:

Step-by-step explanation:

You always invert the second number in a division question and then multiply. This one is a little different. It has three levels. What do you do about that?

[tex]\frac{\frac{1}{9} }{\frac{2}{1} }[/tex]

Now you have a four level question which is handled the same way as all four level question.

Invert the bottom and multiply. Invert means turn upside down. So you turn the 2/1 upside down and you get 1/2

[tex]\frac{1}{9}*\frac{1}{2}[/tex]

What you get is 1/18 The green box with the question mark is a 1.

Pizza Uno offers 2/3 of a small pizza for $3.50. Pizza Duo offers % of a small pizza for $4.20. How much does each charge for a whole small pizza?
Show your work and remember to answer the question.

Answers

Answer:

Pizza Uno offers $5.25 for a small pizza and Pizza Duo offers $5.60 for a small pizza.

Step-by-step explanation:

For Pizza Uno:

If 2/3 of a Pizza costs $3.50, divide it by 2.3.50 ÷ 2 = 1.75For each 1/3 it costs $1.75Multiply 1.75 by 3 to get a whole pizza.1.75 × 3 = 5.25

For pizza Duo: (the "%" is actually 3/4)

If 3/4 of a pizza costs $4.20, divide it by each 1/4 you get (3).4.20 ÷ 3 = 1.40Each fourth (1/4) costs $1.40 eachMultiply 1.40 by 4 to get a whole pizza1.40 × 4 = 5.60

HELP someone please!!!! i dont understand

Answers

Answer:

x = 65.03°

Step-by-step explanation:

To solve for x, we have to apply trigonometric ratio.

Recall: SOH CAH TOA

From the diagram, we know the following:

Reference angle = x

Hypotenuse = 45

Adjacent = 19

Since we know the Hyp and Adj, we would apply CAH, which is:

Cos x = Adj/Hyp

Plug in the values

[tex] cos(x) = \frac{19}{45} [/tex]

[tex] x = cos^{-}(\frac{19}{45}) [/tex]

x = 65.0250346°

x = 65.03° (nearest hundredth)

help please ande hank ou

Answers

Answer:

5/27

Step-by-step explanation:

please solve both thank you!

Answers

Answer:

First problem: 24 + 4x = 60

Second problem: 9

Step-by-step explanation:

24 + 4x = 60

4x = 36

x = 9

I’m pretty sure the x are 9 because it you do 9x4= 36 then you add 24 and it will equal to 60

Can you find the slope-intercept equation of each line and type the correct code? Please remember to type in ALL CAPS with no spaces.

Answers

Answer:

DIBF

Step-by-step explanation:

I'm pretty sure it's that

Which of the following have
a value equal to [-12]?

Answers

Answer:

option 3) ii, iv, v

Step-by-step explanation:

|-12| means write the absolute value, which means just the number without the sign.

Therefore |-12| = 12

So, ii. 12

iv. |12| is also = 12

v. -( -12) is also = 12

Answer:

12.00000000000000000

solve the following equation 4 x + 10 = 66

Answers

-> 4x= 66-10

-> 4x= 56

-> x= 56/4

-> x= 14

mark me brainliestttt plsss :)))

Answer:

x = 14.

Step-by-step explanation:

4x + 10 = 66

4x + 10 - 10 = 66 - 10

4x = 56

x = 56/4 = 14.

Help me PLEASEEEEEEEEEEEEE

Answers

Answer:

4.0.

Step-by-step explanation:

In sample 1, you do 0.65/1.3 which gets you to 0.5, so then you do the same to the bottom which you also have to divide by 1.3, and 5.2/1.3 is 4.0 or 4.

Answer:

option D. 4.0

Step-by-step explanation:

Mass Volume

Sample 1 0.65 0.5

Sample 2 5.2 x

[tex]\frac{0.65}{5.2} = \frac{0.5}{x}\\\\0.65 \times x = 0.5 \times 5.2\\\\0.65x = 2.6\\\\x =\frac{2.6}{0.65} =4[/tex]

Other Questions

Katie draws 14 pictures in 24 minutes. At this rate, how many pictures can she draw in 312 minutes? Which is the preserved evidence of the activity of an organism? After the Second Continental Congress signed the Declaration of Independence - a. freedom of religion was established across the new nationb. the office of president was created to develop the laws across the new countryc. King George III agreed that America was an independent nation and ceased fightingd. foreign countries could recognize America as a separate country from Britain Which property of aluminium makes it a suitable metal for soft-drink can? Can someone please answer this Id really appreciate it ~20 points!!~ During battling practice, two pop flies are hit from the same location, 2s apart the paths are modeled by the equations h equal negative 16t squared + 56t and h = -16t + 156t - 248 where t is the time that has passed since the first ball was hit PLSSSS ANSWER I WILL GIVE BRAINLIESTJorge is testing the effect of lead on child development. Based on his observations, he finds that the longer the children are exposed to lead-based paint, the higher the chance becomes that the children may develop behavioral problems. He has done repeated experiments, and his results are similar to the results of many other scientists.Why is this scenario considered a theory rather than a hypothesis?It is a testable scenario.It is based on prior knowledge.It is a well-tested explanation.It is a factual statement. Which are examples of databases? Check all that apply.a geographical location indicated on a mapa collection of test scores from students taking state tests a group of students who are performing research a set of stored information related to banking clients transactionsan audio podcast of an interview with an important state official p/o/i/t/s/f/r/e/e/;)denada 7/2h-3(5h-1/2)I ALSO NEED STEP BY STEP INSTRUCTIONS NO WEBSITES OR SCREENSHOTS TYSM James Meredith won a federal court case, whereby the courts allowed him to enroll in the University of MississippiTrueFalse URGENTT!!!!!!! A simple random sample of 150 San Antonio area policemen found that the average time these police officers had worked for the police department was 16years with a standard deviation of 5 years. Ten years ago the average amount of time policemen stayed on the job was 15 years.What is the test statistic And P value that the researchers will use for this significance test? A 1.2 kg basketball is thrown upwards. What is the potential energy of the basketball at the top of its path if it reaches a height of 15.6 m? Adam wants to compare the fractions and He wants to order them from least to greatest and rewrite them so they all have the same denominator. Explain how Adam can rewrite the fractions. what is the area of the gray part of the triangle? Based on the seventh and eighth paragraphs, what does Callie think about the men'smeeting?She's relieved that the men will take care of things.She's skeptical the men will find a solution.She's hopeful that the men will solve the locust problem. why did razia sultana lose the throne? If the carrier is continental airlines, what is the chance that I will be denied boarding? g Chelsea left the coffee shop traveling 6 mph. Then, 4 hours later, Katie left traveling the same direction at 18 mph. How long will Katie travel before catching up with Chelsea What is the area of quadrilateral