MATHEMATICS HIGH SCHOOL

Find the exponential function that satisfies the given conditions: Initial value = 31, increasing at a rate of 10% per year f(t) = 10 ⋅ 1.1t
f(t) = 31 ⋅ 1.1t
f(t) = 31 ⋅ 0.1t
f(t) = 31 ⋅ 10t

Answers

Answer 1
Answer:

Option 2: f(t) = 31.(1.1)^t is the correct answer.

Step-by-step explanation:

Let t be the independent variable time and f(t) be the function that will be used to represent the exponential growth

The general form of an exponential function is given by:

y = a(1+r)^t

Here

a is the initial value of the function while r is the growth rate

and t is the number of years

Given

Initial value = 31

Growth rate = 10% per year

We have to convert the growth rate in decimal

So,

r = (10)/(100) = 0.1

Putting the values in the general form

f(t) = 31 . (1+0.1)^t\nf(t) = 31 . (1.1)^t

Hence,

Option 2: f(t) = 31.(1.1)^t is the correct answer.

Keywords: Functions, exponential functions

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A mason's assistant's rate of pay is $0.95 per cubic foot of earth moved. He digs a trench 1.5 ft. wide by 1 ft. deep by 150 ft. in length. What is his pay for this job?213.75
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Answers

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The estimated snowfall for a local city is 6.75 inches. The actual snowfall was 10.25 inches. What is the percent error for the amount of snowfall

Answers

Answer: ~ 34.15%

Step-by-step explanation:

To calculate the percent error for the amount of snowfall, you can use the following formula:

Percent Error = [(|Estimated Value - Actual Value|) / Actual Value] * 100%

In this case, the estimated snowfall is 6.75 inches, and the actual snowfall is 10.25 inches. Plugging these values into the formula:

Percent Error = [(|6.75 - 10.25|) / 10.25] * 100%

Percent Error = [(3.5) / 10.25] * 100%

Percent Error ≈ 34.15%

So, the percent error for the amount of snowfall is approximately 34.15%. This means that the estimated snowfall was about 34.15% lower than the actual snowfall.

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-3y+4=-11

Answers

-3y+4=-11
Subtract 4 from each side
-3y=-15
Then divide -3 from each side
Y=5

Can someone help pleassssssseeeeee!!!!!!!!!????????? ILL MARK BRAINLIEST!!!!

Answers

Answer:

b-17

Step-by-step explanation:

So, Tanvi started with b buttons.

And she gave away 17.

Since she "gave away," this means that we should use subtraction.

Therefore, she now has b-17 buttons.

Our expression is:

b-17

Tanx+ square root of 3=0

Answers

tanx+\sqrt3=0\n\ntanx=-\sqrt3\iff x=-(\pi)/(3)+k\pi\ \ \ (k\in\mathbb{Z})

Subtract -5/18 - (-1/4)

-1/36
-19/36
-1/18
1/36

Answers