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puteri [66]
3 years ago
9

PLEASE HURRY!50 POINTS ANS BRAILIEST

Mathematics
1 answer:
densk [106]3 years ago
7 0

Answer:

A:

The decreasing value of car 1 can be represented by an exponential function and car 2 by a linear function

B:

Car 1: f(x) = 18500(0.94)^{x}

Car 2: f(x) = 18500 - 1000x

C:

Car 1 would be $10600.40 after 9 years

Car 2 would be $9500.00 after 9 years

There is a significant difference of $1100.40 in value.

Step-by-step explanation:

f(x) = ar^{x}\\f(0) = a = 18500\\f(x) = 18500r^{x}\\f(1) = 18500r = 17390\\r = \frac{17390}{18500} = 0.94\\f(x) = 18500(0.94)^{x}

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The number of bacteria in a refrigerated food product is given by N ( T ) = 22 T 2 − 123 T + 40 , 6 &lt; T &lt; 36 , where T is
antoniya [11.8K]

Answer:

N(T(t)) = 1408t^2 - 385.6t - 105.52

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Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

N(T(t)) = 22 * (8t + 1.7)^2  - 123 * (8t + 1.7) + 40

N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40

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N(T(t)) = 1408t^2 - 385.6t - 105.52

Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:

8019 = 1408t^2 - 385.6t - 105.52

1408t^2 - 385.6t - 8124.52 = 0

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3 years ago
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