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lys-0071 [83]
3 years ago
5

Mr. Wilson opened a bakery and a juice bar in his neighborhood. The functions below represent the profit, in dollars, earned fro

m the bakery and the juice bar after t months. Which function best describes P(t), the total profit earned from the bakery and the juice bar after t months? A. B. C. D.
Mathematics
1 answer:
zavuch27 [327]3 years ago
4 0

Answer:

The answer is given below

Step-by-step explanation:

The question is not complete, because the function for the profit is not given but I can show you how to calculate this.

Since Mr. Wilson has a bakery and a juice bar, his total profit earned in t months would be the sum of profit from the bakery with the profit from the juice bar within t months.

Let us assume that the profit from the bakery in t months is given by:

B(t) = 2t³

while the profit from the juice bar in t months is given by:

J(t) = 2.3^t-2

Therefore the total profit is given by:

P(t) = B(t) - J(t) = 2t^3+2.3^t-2

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You hike 190 meters up a steep hill that has a 33∘ angle of elevation as shown in the diagram.
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Answer:

b = 159 m

a = 103 m

angle B is 57 degrees

Step-by-step explanation:

Let’s start with getting the measure of angle B

Mathematically, since we have a right triangle , we have to subtract the given angle from 90 to get the other acute angle

So we have the measure of B as;

90-33 = 57 degrees

To get the value of a, we use the appropriate trigonometric ratio

a faces the angle 33, that makes it an opposite to that angle

190 faces the right angle and that makes it the hypotenuse

Mathematically , the relationship between the two is that trigonometrically, they are related by the sine which is the ratio of the opposite to the hypotenuse

so, we have it that;

sine 33 = a/190

a = 190 * sine 33

a = 103 m

to get b, it is adjacent to the given angle

So with the hypotenuse, the ratio between it and the hypotenuse is the cosine

so;

cos 33 = b/190

b = 190 * cos 33

b = 159 m

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