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anygoal [31]
3 years ago
10

Jose bought a car for $32000. The car depreciates in values by 5.7% each year. Write an exponential function that represents how

much Jose's car is worth. a. Identify and name both of your variables b. Write your equation c. How much will the car be worth in 5 years? Show with calculations. *
Mathematics
1 answer:
lana [24]3 years ago
3 0
5.7 × 5 = 28.5
Have you tried that?
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Monthly sales of a particular personal computer are expected to decline at the following rate of S'(t) computers per​ month, whe
Len [333]

Answer:

S(t) = -18t^\frac{5}{3}+2440

Company will take approximately 14 months

Step-by-step explanation:

Given function that shows the change rate of computers,

S'(t)=-30 t^{\frac{2}{3}}

Where,

t = number of months

On integrating,

\int S'(t) = -30\int t^{\frac{2}{3}} dt

S(t) = -30(\frac{t^{\frac{2}{3}+1}}{\frac{2}{3}+1})+C

S(t) = -30 (\frac{t^{\frac{2+3}{3}}}{\frac{2+3}{3}})+C

S(t) = -30(\frac{t^\frac{5}{3}}{\frac{5}{3}})+C

S(t) = -30(\frac{3t^\frac{5}{3}}{5})+C

S(t) =-18t^\frac{5}{3}+C

According to the question,

S(0) = 2,440,

\implies -18(0)^\frac{5}{3}+C=2440\implies C = 2440

Hence, the required function,

S(t) = -18t^\frac{5}{3}+2440

If S(t) = 1,000,

-18t^\frac{5}{3}+2440=1000

-18t^\frac{5}{3}=-1440

t^\frac{5}{3}=80

t = (80)^\frac{3}{5}\approx 13.86

6 0
3 years ago
Describe how the graph of the function is related to the graph of its parent function.
SashulF [63]

Answer:

B

Step-by-step explanation:

The -2 reflects across the x -axis

The + 1   shifts it up one unit

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2 years ago
Find the arc that is congruent to arc BF
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Check the picture below.

notice that the point A is the center of the circle, and thus the ∡BAF is a central angle, and the arc BF gets its angle measurement from ∡BAF, in red.

now, notice, ∡BAF has a twin vertical angle, namely ∡CAE in green, and the arc made by ∡CAE is congruent to BF.

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3 years ago
Can someone help me with this question please?
Simora [160]

Answer:

35

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3 years ago
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Answer: 19/6

Step-by-step explanation:

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2 years ago
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