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bixtya [17]
3 years ago
8

How much would $500 invested at 6% interest compounded monthly be worth after 4 years? Round your answer to the nearest cent

Mathematics
1 answer:
Rama09 [41]3 years ago
7 0
1) Compound interest formula:
A = P(1+ \frac{r}{n}) ^{nt}**<span>
**A = amount, P = principal amount, r = rate, n = # of times interest is compunded every year, t = time(in years)
2) Plug numbers in
</span>A = (500)(1+ \frac{0.06}{12}) ^{(12)(4)}
3) Solve
A = 635.24458054

Hope this helped! Good Luck!
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why do whole numbers raised to an exponet get greater while fractions raised to an exponet get smaller
hoa [83]
Fractions are basically divisions.
Ex. 2/4 = 1/2

And whole numbers like 10, get greater when raised to an exponent.
Ex. 10^2 = 100
8 0
3 years ago
During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $333. The next month, 400 u
Mice21 [21]

Answer: the cost per unit of gas is $0.28

Step-by-step explanation:

Let x represent the cost per unit of electricity.

Let y represent the cost per unit of gas.

During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $333. This is expressed as

500x + 100y = 333 - - - -- - -- - -- -1

The next month, 400 units of electricity and 150 units of gas were used for a total cost of $286. This is expressed as

400x + 150y = 286 - - - - - - - - - --2

Multiplying equation 1 by 400 and equation 2 by 500, it becomes

200000x + 40000y = 133200

200000x + 75000y = 143000

Subtracting, it becomes

- 35000y = - 9800

y = - 9800/- 35000

y = 0.28

Substituting y = 0.28 into equation 2, it becomes

400x + 150 × 0.28 = 286

400x = 286 - 42 = 244

x = 244/400 = 0.61

7 0
3 years ago
MARKING BEST ANSWER BRAINLIEST!!!!!!!!!!!!!!!!!!!!What is the median of this group of numbers?
butalik [34]

Answer:

There are 7 number so what you want to do is separate them into groups and the median will be the number in the middle which is 40 so 40 is the median

Step-by-step explanation:

hope this helps

8 0
2 years ago
Mike purchases a round wall clock. The clock’s radius is 10m. What is the circumference of the clock?
Kitty [74]

20π or 62.8 roughly

Step-by-step explanation:

Hello!

The formula for finding the circumference of a circle is 2rπ:

In that case, all we have to do is substitute 10m for our r.

2 × 10 = 20.

So circumference will be 20π.

Using 3.14 for π:

We get that 62.8 is a rough estimate for the circumference.

Really, it's 62.831..... going on forever since π is irrational.

Thus, the answer exactly is .

Hope this helps!

3 0
1 year ago
Use symmetry to graph the inverse of the function.
Olin [163]
<h2>Answer:</h2>

a. is the correct option

<h2>Step-by-step explanation:</h2>

The graph of a function f and its inverse function f^{-1} are related to each other. The relationship between these two graphs can be explained by taking a point (a,b) that is on the graph of f, then point (b,a) must lie on the graph f^{-1} and vice versa meaning that the graph of f^{-1} is a reflection of f in the line y=x. The only graph that meet this requirement is the option a. For instance, the point (0,5) is on the graph of f while the point (5,0) is on the graph of f^{-1} as indicated below.

5 0
3 years ago
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