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lord [1]
3 years ago
12

write an exponential formula of the form f (t)= a×b^t to represent the following situation. assume t is in years. The beginning

population is 27, 000, decreasing by 3.5% annually. f(t)=__________​
Mathematics
1 answer:
nika2105 [10]3 years ago
5 0

Answer:

f(t)= 27000 * 0.965^t

Step-by-step explanation:

Given

a = 27000 -- initial

r = 3.5\%

Required

The exponential equation

The exponential equation is

y =ab^t

Where

b=1 -r

We used minus, because the rate decreases..

So, we have:

b=1 -3.5\%

b=1 -0.035

b=0.965

So:

y =ab^t

y = 27000 * 0.965^t

Hence:

f(t)= 27000 * 0.965^t

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Answer:

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A pan is heated to 393°F, then removed from the heat and allowed to cool in a kitchen where the room temperature is a constant 6
deff fn [24]

Answer:

The approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.

Step-by-step explanation:

The formula for D, the difference in temperature between the pan and the room after t minutes is:

D = 324\cdot e^{-0.05t}

Compute the approximate difference in temperature between the pan and the room after 9 minutes as follows:

D = 324\cdot e^{-0.05t}

    =324\times e^{-0.05\times 9}\\\\=206.59

Then the approximate temperature of the pan after it has been away from the heat for 9 minutes is:

D = P - R

206.59 = P - 69

P = 206.59 + 69

P = 275.59°F

Thus, the approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.

6 0
3 years ago
X + 11 &lt; 6 <br> Solve and graph on a number line
Drupady [299]

Answer & Step-by-step explanation:

So I can't exactly graph exactly, but I'll try...

To solve:

x+11<6  Subtract 11 on both sides.

x<-5

To graph:

<-------|---------o---------|-------->

        -6        -5         -4

(The bolded part of the line is the side you shade the graph on. In case you can't see it, you have to shade the left side of the open circle.)

Hope this helps! Have an awesome day ( • ω • )^

4 0
2 years ago
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