- h(x) = f(x) + g(x) =
- h(x) = g(x) – f(x) =
- h(x) = 4g(x) =
<u>Step-by-step explanation:</u>
Here we have , f(x) = -2.5x + 12; g(x) = 21x - 28 or 
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10. Find h(x) = f(x) + g(x).
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11. Find h(x) = g(x) – f(x).
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12. Find h(x) = 4g(x).
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Answer:
A) $93,504.818
B) $40,000
C) $53,504.818
Step-by-step explanation:
Yearly contribution ( periodic payment) = $4000
Period (p) = 10years
Additional period(y) = 5years
Annual interest(r) = 9% = 0.09
Future value (FV) =
periodic payment [(1 + r)^y - 1] / r
4000 [(1 + 0.09)^10 - 1 / 0.09]
4000[1.09^10 - 1 / 0.09]
4000[1.3673636 / 0.09]
4000(15.192929)
= 60771.716
If left for five more years:
FV = 60771.716(1 + r)^n
FV = 60771.716(1 + 0.09)^5
FV = 60771.716(1.09)^5
FV = 60771.716(1.5386239549)
FV = $93,504.818
B) MR. HUGHES CONTRIBUTION :
Periodic payment × p ; $4000 was deposited annually for 10 years.
$4000 × 10 = $40,000
C) Interest = Future value - contribution
$93,504.818 - $40,000
= $53,504.818
Answer:
The number is 10
Step-by-step explanation:
3x-8=22
3x=30
x=10
Answer: 8.5/10
Step-by-step explanation: half of 17 is 8.5 and half of 20 is 10
(13/59)(c/58)=117/1711
13c/3422=117/1711
13c=234
c=18
So there are 18 clubs instead of 13 meaning that there is an extra 5 clubs in the deck.
Since there were 59 cards, there was 7 extra cards in all. The 7 extra minus the 5 extra clubs leaves 2 extra spaces.
So there were two extra spades in the deck.
