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3 years ago

Consider the function f(x)=−23x+5 . What is f(5/2) ? Enter your answer, as a simplified fraction, in the box.

Mathematics

1 answer:

Softa [21]3 years ago

4 0

Answer:

Step 1: Find f(5/2)

f(5/2) = -23(5/2) + 5

f(5/2) = -115/2 + 5

f(5/2) = -105/2

Step 2: Find f(52)

f(52) = -23(52) + 5

f(52) = -1196 + 5

f(52) = -1,191

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3 years ago

An investment services company experienced dramatic growth in the last two decades. The following models for the company's reven

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Step-by-step explanation:

Since we have given that

$R(t)=21.4e^{0.13t}\\\\C(t)=18.6e^{0.13t}$

So, Profit is given by

$Profit=R(t)-C(t)\\\\Profit=21.4e^{0.13t}-18.6e^{0.13t}\\\\Profit=e^{0.13t}(21.4-18.6)\\\\Profit=2.8e^{0.13t}$

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So, Profit becomes :

$P(30)=2.8e^{0.13\times 30}\\\\P(30)=2.8\times 49.40\\\\P(30)=138.32$

(b) How long before the profit found in part (a) is predicted to double? (Round your answer to the nearest whole number.) years after 1990.

So, profit doubles , we get :

$138.32\times 2=2.8e^{0.13t}\\\\276.65=2.8e^{0.13t}\\\\\dfrac{276.65}{2.8}=e^{0.13t}\\\\98.80=e^[0.13t}\\\\\ln 98.80=0.13t\\\\4.593=0.13t\\\\\dfrac{4..593}{0.13}=t\\\\35.33=t$

Hence, a) 138.32 and b) 35 years approx.

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3 years ago