Answer:
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Step-by-step explanation:
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Answer:
future value = $49163.8
so required amount will be $491200 nearest $100
Step-by-step explanation:
given data
annual interest rate = 6 %
annuity = $300 per month
time period = 10 years
to find out
how much money will they have for the college expenses
solution
we know that effective rate will be
effective rate = 
effective rate = 5 × 
number of payment = 12 × 10 = 120
so future value will be express as
future value = annuity × 
.........1
future value = 300 × 
future value = 300 × 163.8793
future value = $49163.8
so required amount will be $491200 nearest $100
For part A, you simply add the two functions a(x) and b(x). The resulting function is then (a+b)(x) = 5x +2.
For part B, you multiply the functions a(x) and b(x). Using the FOIL method, we obtain, 6x^2 -24x + 20x - 80. Simplifying, we get, (a*b)(x) = 6x^2 -4x - 80.
For part C, you replace x in the function a(x) with the expression from b(x). This results to: a[b(x)] = 3(2x - 8) +10. Simplifying, a[b(x)] = 6x - 14.
The number of pieces of card stock which would result upon the process repetition is; 256 pieces.
<h3>What is the number of card stock pieces resulting from the cutting process?</h3>
According to the task content, it follows that since, there are 8 pieces of the 8 inches per side cards initially, the resulting number of cards after carrying out the process of cutting cards into half five, 5 times is;
No of cards = 8 (2)⁵
No. of cards = 256 pieces.
The size of each of the cards in discuss provided that all cuts will be made along and not across the longer edge is; 8 by 1/4 inches.
Read more on exponential functions;
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Answer:
Step-by-step explanation:
Given
Required
Determine the total size of the string
To do this, we multiply the number of pieces by the length of each piece.
Convert to mixed number
