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coldgirl [10]
3 years ago
11

Suppose you invested $1500 in an ac count that paid an annual of 3% compound monthly. How much would you have after 1 year?

Mathematics
1 answer:
Sati [7]3 years ago
3 0

Answer:

1545.62

Step-by-step explanation:

The calculation of compound interests uses this formula:

<h2>A = P (1 + \frac{r}{n} )^{n*t}</h2>

Where  A = total amount, P = principal or amount of money deposited, r = annual interest rate, n = number of times compounded per year  and t = time in years.

So, if we plug-in the numbers of the problem we have:

<h2>A = 1500 (1 + \frac{0.03}{12} )^{12*1}</h2>

Which gives us:

A = 1500 * 1.0025^{12} = 1500 * 1.030416 = 1545.62

For a grand total of 1,545.62 including capital and interests.

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HELP WITH ONE MORE!!!!!!!!
Alexxx [7]

Answer:

f(x + 3) = (4x + 13)/(x - 3)

Step-by-step explanation:

If f(x) = (4x + 1)/(x - 6)

then in f(x + 3)...js replace x with (x + 3)...

f(x + 3) = (4(x + 3) + 1)/(x + 3 - 6)

;f(x + 3) = (4x + 13)/(x - 3)

3 0
3 years ago
Sarah is making flower bouquets that she will put in 10 vases. She will put 15 roses and some lilies in each vase.
AnnyKZ [126]
A is correct because the f represents the lilies and then you add the 15 because that is how much roses there are going to be. Lastly just multiply the ten that will give you the answer
3 0
3 years ago
a circle has a radius of 4. an arc in this circle has a central angle of 288. what is the length of the arc?
anzhelika [568]

Answer:20.096

Step-by-step explanation:

radius =r=4

Φ=288

π=3 14

Length of arc=Φ/360 x 2 x π x r

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Length of arc=0.8 x 2 x 3.14 x 4

Length of arc=20.096

8 0
3 years ago
Identify any outliers of the data set. Then determine the effect that the outlier has on the mean. 25, 29, 58, 27, 23, 26, 27, 2
Murrr4er [49]

Answer:

58

Step-by-step explanation:

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7 0
3 years ago
a geometric series where the first term is -12, the last term is -972, and each term after the first is triple the previous term
Luba_88 [7]

Answer:

the geometric series is a(n) = -12(3)^(n-1)

Step-by-step explanation:

"Triple" denotes multiplication by 3.  Thus, the common factor here is 3.

The general formula for a geometric series is a(n) = a(1)(r)^(n-1), where a(1) is the first term, r is the common ratio.

Here, we have a(n)= (-12)(3)^(n-1) = -972.

We need to solve this for n, which represents the last term.

The first step towards solving for n is to divide both sides by -12:

3^(n-1) = 81

To solve for n-1, rewrite 81 as 3^4.  Then we have:

3^(n-1) = 3^4, implying that (n-1) = 4 and that n = 5.

Then we know that it is the 5th term that equals -972.

In summary, the geometric series is a(n) = -12(3)^(n-1).

8 0
3 years ago
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