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Mnenie [13.5K]
2 years ago
6

The function f describes the value of a sculpture after t years. The function g describes the value of a painting by the same ar

tist after t years.
f(t) = 500(1.2)^t
g(t) = 380(1.15)^t

Find function h, such that h(t) = f(t) - g(t).

h(x) = 120(1.05)^t
h(t) = 880(1.35)^t
h(t) = 20[25(1.2)^t - 19(1.15)^t]
h(t) = 20[19(1.2)^t - 25(1.15^t]
Mathematics
2 answers:
leva [86]2 years ago
7 0
H(t)=ft)-g(t)
h(t)=500(1.2)^t-380(1.15)^t
Getting out 20 common factor:
h(t)=20[500(1.2)^t/20-380(1.15)^t/20]
h(t)=20[25(1.2)^t-19(1.15)^t]
Answer: Third option: h(t)=20[25(1.2)^t-19(1.15)^t] 
Anna11 [10]2 years ago
6 0
H(t) = f(t) - g(t)
= 500(1.2)^t - 380(1.15)^t
Taking out the greatest common factor, which is 20:
= 20[(25)(1.2)^t - (19)(1.15)^t]
This is the third choice.

Note that you cannot subtract the bases of the exponents, for example (1.2^t - 1.15^t) cannot be simplified into something like 0.05^t.
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Of the three conditions that need to be satisfied before the conduction of a t-test, the first condition about using a random sampling technique is evidently satisfied.

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2 years ago
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Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k.
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Answer:

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Step-by-step explanation:

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Again the function g(x) passes through the points (0,4) and (-2,-2).

Therefore, the equation of g(x) will be  \frac{y-4}{4-(-2)} =\frac{x-0}{0-(-2)}

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Answer:

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As per the problem

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Total fraction of money spent cab be given as below

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