Answer:
The numbers are 18, 13, and 72.
Step-by-step explanation:
Let the three numbers be represented by <em>a, b</em>, and <em>c</em>.
The sum of the three is 103. Thus, we can write that:
The second number is five less than the first. So:
And the third number is four times the first. So:
Substitute:
Solve for <em>a</em>. Combine like terms:
Add five to both sides:
And divide both sides by six. Therefore:
So, the first number is 18.
Since the second number is five less than the first, the second number is 13.
And since the third number is four times the first, the third number is 72.
Answer:
24*0.5=12
Step-by-step explanation:because when ever you multiply by a decimal you take that percent away from the original amount--- .5=50%, so you take away 50% of 24 and you get 12
Answer:
- value: $66,184.15
- interest: $6,184.15
Step-by-step explanation:
The future value can be computed using the formula for an annuity due. It can also be found using any of a variety of calculators, apps, or spreadsheets.
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<h3>formula</h3>
The formula for the value of an annuity due with payment P, interest rate r, compounded n times per year for t years is ...
FV = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)
FV = 5000(1 +0.06/4)((1 +0.06/4)^(4·3) -1)/(0.06/4) ≈ 66,184.148
FV ≈ 66,184.15
<h3>calculator</h3>
The attached calculator screenshot shows the same result. The calculator needs to have the begin/end flag set to "begin" for the annuity due calculation.
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<h3>a) </h3>
The future value of the annuity due is $66,184.15.
<h3>b)</h3>
The total interest earned is the difference between the total of deposits and the future value:
$66,184.15 -(12)(5000) = 6,184.15
A total of $6,184.15 in interest was earned by the annuity.
Answer:583
Step-by-step explanation:
I took the test
