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DochEvi [55]
3 years ago
10

10.15-10.16 with fractions

Mathematics
1 answer:
rewona [7]3 years ago
7 0
10.15-10.16=-.01, which is -1/100
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Yolanda opened a retirement account earning 5.5% interest per year, compounded monthly. She deposited $100 each month. Assume th
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The balance in dollars and cents in Yolanda's account at the end of 4 years is $5,355.29

What is the future value of an ordinary?

An ordinary annuity is the one where the monthly deposit occurs at the end of each month rather than at the beginning of the months such its future value based on 5.5% annual interest rate can be determined thus:

FV=PMT*(1+r)^N-1/r

FV=balance in dollars and cents in Yolanda's account at the end of 4 years=unknown

PMT=monthly deposit=$100

r=monthly interest rate=5.5%/12=0.00458333333333333

N=number of monthly deposits in 4 years=4*12=48

FV=$100*(1+0.00458333333333333)^48-1/0.00458333333333333

FV=$5,355.29

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Missing question:

What was the balance in dollars and cents in Yolanda's account at the end of 4 years?

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1 year ago
Find a12 given the geometric sequence 4, 8, 16, 32, ...
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The <em>twelfth</em> element of the <em>geometric</em> sequence is equal to 4,096. (Correct choice: D)

<h3>How to find a determined element of a geometric sequence by exponential formulae</h3>

Sequences are series of elements generated according to at least one condition, usually equations. <em>geometric</em> sequences are generated according to a <em>exponential</em> formulas, whose form and characteristics are described below:

f(n) = a · bⁿ ⁻ ¹    (1)

Where:

  • a - First element of geometric sequence
  • b - Common ratio of the geometric sequence
  • n - Element index within the geometric sequence

If we know that a = 4, b = 2 and n = 12, then the twelfth element of the geometric sequence from the statement is:

f(12) = 4 · 2¹² ⁻ ¹

f(12) = 4 · 2¹¹

f(12) = 4 · 2,048

f(12) = 4,096

The <em>twelfth</em> element of the <em>geometric</em> sequence is equal to 4,096. (Correct choice: D)

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2 years ago
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