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myrzilka [38]
3 years ago
5

Justin invested $23,000 in an account paying an interest rate of 3.8% compounded quarterly. Assuming no deposits or withdrawals

are made, how much money, to the nearest dollar, would be in the account after 14 years?
Mathematics
1 answer:
Lana71 [14]3 years ago
5 0

Answer:

$39056

Step-by-step explanation:

As we know, the final Amount can be calculated with the formula for compound interest,

A = P(1 + \frac{r}{n} )^{nt}

where,

A = Final Amount

P = Initial principal amount

r = rate of interest in decimal

n = number of times applied per time period

t = total time period

Now, according to the given data,

P = $23000

r = .038

n = 4

t = 14

so,

A = 23000(1 + \frac{.038}{4} )^{4(14)}

A = 39055.476

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Find x, y, and z<br><br> x = 39<br> x = 29<br> y = 61<br> y = 29<br> z = 61<br> z = 29
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answer:

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step-by-step explanation:

all angles in a triangle must equal 180 degrees.

we were already given the angle degree of 61 degrees so we must include that in our formula to determine the degree of y.

the line in the middle already gives us two more angles because they both are 90 degrees for being a perfect quarter turn.

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now, to determine the degrees of x and z we do the same thing.

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<em>therefore, x = 29 and z = 61</em>

<em></em>

<em>so, in total :</em>

<em>x = 29</em>

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<em>hope this helps :)   </em>

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