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Aneli [31]
3 years ago
15

Find the exponential function that satisfies the given conditions:

Mathematics
1 answer:
iris [78.8K]3 years ago
4 0

Answer:

f(t) = 37·1.14^t

Step-by-step explanation:

Without the exponentiation operator, all of the functions you have shown are linear functions, not exponential.

When the increase in a year is 14% = 0.14, it means that the value next year is 1 + 0.14 = 1.14 times the value this year. Since repeated multiplication is signified by an exponent, the multiplier is then ...

... 1.14^t

When t=0, this value is 1.14^0 = 1. You want the initial value to be 37, so you need to multiply this multiplier by 37. The result is ...

... f(t) = 37 · 1.14^t

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Let x be the number of gb used.

Question (1):
Runfast = 10 + 4x
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Question (2):
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4 0
2 years ago
I really need help I would appreciate it if someone could help me
sleet_krkn [62]

Answer:

a) The vertex of the graph is (h,k) = (0, 31), b) a = -16, c) The equation of the parabola is f(t) = -16\cdot t^{2}+31.

Step-by-step explanation:

a) The tennis ball experiments a free fall, that is, an uniform accelerated motion due to gravity and in which effects from Earth's rotation and air viscocity are negligible. The height of the ball in time is represented by a second order polynomial. Hence, the vertex of the parabola is the initial point highlighted in graph.

The vertex of the graph is (h,k) = (0, 31).

b) If we know that (h,k) = (0, 31), f(t) = a\cdot (t-h)^{2} + k and (t,f(t)) = (1,15), then the value of a is:

f(t) = a\cdot (t-h)^{2} + k

15 = a\cdot (1-0)^{2}+31

15 = a\cdot 1 + 31

a = 15-31

a = -16

c) The equation of the parabola is f(t) = -16\cdot t^{2}+31.

4 0
3 years ago
16. A farmer had 385.60 lb of tomatoes. She sold half of them at $1.15 per pound. How much money did she receive?
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5 0
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Answer:

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<em><u>please mark it as brainliest!!</u></em>

4 0
3 years ago
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