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xxTIMURxx [149]
3 years ago
13

Francisco has a savings account balance of $2033.88. The interest rate on the account is 2.9% compounded monthly. If he opened t

he account nine years ago, what was the value of his initial deposit?
Mathematics
1 answer:
artcher [175]3 years ago
3 0
The equation for this is:

F = P(1+i)ⁿ
where
F is the present accounts balance
P is the initial deposit
i is the interest rate
n is the number of months

The interest rate is nominal which is 2.9% per year compounded monthly. Since there are 12 months in a year, that is equal to an effective interest rate of 0.24167% per month compounded monthly (i = 0.0024167). In 9 years, there are a total of 108 months, so n=108.

<span>$2033.88 = P(1+0.0024167)</span>¹⁰⁸
P = $1567.147
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loris [4]
The answer is <span>a.)(x - 4)2 = 3.

(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b                                 ⇒ x² - 2ax + a² - b = 0

Our equation is                x² - 8x + 13 = 0.
The general formula is    x² - 2ax + (a² - b) = 0

Thus:
8x = 2ax    and a² - b = 13

Divide both sides of the first equation (8x = 2ax) by x:
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Replace a in the second equation (a² - b = 13):
4² - b = 13     ⇒ b = 4² - 13 = 16 - 13 = 3

Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3
4 0
3 years ago
Select all the equations on which the point (10,0) lies.
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Answer:

  B, C

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I hope it helps you

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Good luck!
8 0
3 years ago
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