Answer:
48
Step-by-step explanation:
(2*6)4
(12)4
48
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Answer:
Horizontal shift of 4 units to the left.
Vertical translation of 8 units downward.
Step-by-step explanation:
Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:
The vertex form of the quadratic function is y = a(x - h)² + k
Where:
The vertex is (h , k), which is either the <u>minimum</u> (upward facing graph) or <u>maximum</u> (downward-facing graph).
The axis of symmetry occurs at <em>x = h</em>.
<em>a</em> = determines whether the graph opens up or down, and makes the graph wider or narrower.
<em>h</em> = determines how far left or right the parent function is translated.
<em>k</em> = determines how far up or down the parent function is translated.
Going back to your quadratic function,
y = (x + 4)² - 8
- The vertex occrs at (-4, -8)
- a is assumed to have a value of 1.
- Given the value of <em>h</em> = -4, then it means that the graph shifted horizontally by <u>4 units to the left</u>.
- Since k = -8, then it implies that the graph translated vertically at <u>8 units downward</u>.
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The borrower owes $14,760.82 at the end of 8 years
What is compounding interest?
Compounding interest means that earlier interest would earn more interest in the future alongside the loan principal.
Note that in this case the loan continues to accumulate interest because there no repayments, in other words, the loan balance after 8 years, which comprises of the principal and interest for 8 years can be computed using the future value formula of a single cash flow(the single cash flow is the principal) as shown thus:
FV=PV*(1+r/n)^(n*t)
FV=loan balance after 8 years=unknown
PV=loan amount=$5,000
r=annual interest=14%
n=number of times in a year that interest is compounded=2(twice a year)
t=loan period=8 years
FV=$5000*(1+14%/2)^(2*8)
FV=$5000*(1.07)^16
FV=$5000*2.95216374856541
FV=loan balance after 8 years=$14,760.82
Find out more about semiannual compounding on:brainly.com/question/7219541.
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Answer:
192,000
Step-by-step explanation:
480,000x.40 = 192,000 commission.
