All categories

4 years ago

How much would $200 invested at 6% interest compounded annually be worth after 6 years? Round your answer to the nearest cent.

1 answer:

6 0

$A=P(1+ \frac{r}{n})^{nt}$
A=future amount
P=present amount
r=rate in decimal form
n=number of times per year to be compounded
t=time in years

so
P=200
r=0.06
n=1
t=6

evaluate to find A
$A=200(1+ \frac{0.06}{1})^{(1)(6)}$
$A=200P(1.06)^{6}$
A=283.704
round
A=$283.70

You might be interested in

A closed box with a square base is to have a volume of 171 comma 500 cm cubed. The material for the top and bottom of the box co

Zepler [3.9K]

Answer:

$C(x)=\dfrac{20x^3+1715000}{x}\\$Minimum cost, C(35)=\$29,400$

The dimensions that will lead to minimum cost of the box are a base length of 35 cm and a height of 140 cm.

Step-by-step explanation:

Volume of the Square-Based box=171,500 cubic cm

Let the length of a side of the base=x cm

Volume $=x^2h$

$x^2h=171,500\\h=\dfrac{171500}{x^2}$

The material for the top and bottom of the box costs $10.00 per square centimeter.

Surface Area of the Top and Bottom $=2x^2$

Therefore, Cost of the Top and Bottom $=\$10X2x^2=20x^2$

The material for the sides costs $2.50 per square centimeter.

Surface Area of the Sides=4xh

Cost of the sides=$2.50 X 4xh =10xh

$\text{Substitute h}$=\dfrac{171500}{x^2} $into 10xh\\Cost of the sides=10x(\dfrac{171500}{x^2})=\dfrac{1715000}{x}$

Therefore, total Cost of the box

$= 20x^2+\dfrac{1715000}{x}\\C(x)=\dfrac{20x^3+1715000}{x}$

To find the minimum total cost, we solve for the critical points of C(x). This is obtained by equating its derivative to zero and solving for x.

$C'(x)=\dfrac{40x^3-1715000}{x^2}\\\dfrac{40x^3-1715000}{x^2}=0\\40x^3-1715000=0\\40x^3=1715000\\x^3=1715000\div 40\\x^3=42875\\x=\sqrt[3]{42875}=35$

Recall that:

$h=\dfrac{171500}{x^2}\\Therefore:\\h=\dfrac{171500}{35^2}=140cm$

The dimensions that will lead to minimum costs are base length of 35cm and height of 140cm.

Therefore, the minimum total cost, at x=35cm

$C(35)=\dfrac{20(35)^3+1715000}{35}=\$29,400$

8 0

3 years ago

20 points for u if u teach me how to do this and answer the questions for me

ivann1987 [24]

First write down the formula which is: y=mx+b
M is the slope and B is the y-intercept
The slope is rise/run, so if your slope is 2 then, 2 is your rise and 1 is your run
In order to find the y intercept you have to plot the points given in your question and and move your rise down and moving the run to the left until you find your y-intercept
Once you find the y-intercept, just plug in your slope and y-intercept

8 0

3 years ago

The mean of four numbers is 30 are 12,50 and 48 what is the fourth number.a)129 b) 10 c) 12 d)30

cricket20 [7]

10 is the answer.
You know that there are 4 numbers and you have to add the numbers then divide them by four to get the mean. So all you have to do is reverse the steps, multiply 30 by 4 to get 120, then add 12+50+48 to get 110. Then subtract, 120-110=10. To check if it is correct add 12, 50, 48, and 10 to get 120, then divide by 4 to get 30. And voila, there is the answer. I hope this helped for future problems like this one.

3 0

4 years ago

A type of fish for your aquarium costs $7 each. You can spend at most $28. How many of these fish can you buy? Write an inequali

makvit [3.9K]

Answer: 4

Step-by-step explanation: Divide 28 by 7

3 0

3 years ago

A number line is drawn left to right with integers spaced 1 centimeter apart. An ant crawls onto the number line at +3. It then

Anna11 [10]

Answer:

-1.2 cm

Step-by-step explanation:

Let's figure out where the ant is after each step.

Step 1

Start at +3.0

Move left - 1.5

Now at +1.5

Step 2

Start at +1.5

Move right + 4.9

Now at +6.4

Step 3

Start at +6.4

Move left - 7.6

Now at -1.2

The ant is now at -1.2 cm.

6 0

4 years ago