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aivan3 [116]
3 years ago
15

Identify the initial amount a and the growth factor b in the exponential function.

Mathematics
1 answer:
alina1380 [7]3 years ago
7 0

Given the equation A (x) = 30 x 8.3 ^x, we can get the initial amount of A when x is equal to zero. Therefore:

A (0) = 30 * 8.3^0

A (0) = 30

In this case the equation grows by 8.3 times as x increases. Therefore the growth factor is 8.3.

Answers:

initial amount = 30

growth factor = 8.3

The answers are not in the given choices. I believe you are giving the wrong equation. If the correct equation here is:

A (x) = 680 x 4.3 ^x 

Then the answers are:

initial amount = 680

growth factor = 4.3

The answers are now in the choices given.

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a flagpole cast a shadow 25 meters long when the angle of elevation of the sun is 40 how tall is the flag pole to the nearest me
nata0808 [166]

Answer:12.59

Step-by-step explanation:

enter image source here

From the diagram you can see that we have constructed a right triangle, with height A and base 15.

Length of shadow = 15 feet.

Height of flagpole = A.

We know the angle of elevation is

40

∘

. Using this angle and the tangent ratio, we can find A.

tan

(

40

∘

)

=

opposite

adjacent

=

A

15

∴

tan

(

40

∘

)

=

A

15

Rearranging:

A

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∘

)

By calculator:

A

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