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Leokris [45]
2 years ago
13

For the function f(t) =Pe^rt , if P= 7 and r= 0.07 then what is the value of f(7) to the nearest tenth?

Mathematics
2 answers:
White raven [17]2 years ago
8 0

Answer:

A. 11.4  

Step-by-step explanation:

f(t) = P e^{rt}

Data:

P = 7

r = 0.07

Calculation:

\begin{array}{rcl}f(t) & = &Pe^{rt}\\f(7)& = & 7 e^{(0.07 \times 7)}\\ & = & 7 e^{0.49}\\& \approx & 7 \times 1.632\\ & \approx & \mathbf{11.4}\\\end{array}

Setler [38]2 years ago
5 0

Answer:

11.4

Step-by-step explanation:

JUST DID ON APEX

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The points (0 1) and (1 4) are contained in the graph of an equation with only two variables x and y
Blababa [14]

The line that passes through (0 1) and (1 4) is a linear equation

The equation of the points is y = 3x + 1

<h3>How to determine the equation of the points?</h3>

The points are given as:

(x,y) = (0 1) and (1 4)

Start by calculating the slope (m)

m = (y₂ - y₁)/(x₂ - x₁)

So, we have:

m = (4 - 1)/(1 - 0)

Evaluate

m = 3

The equation is then calculated as:

y = m(x - x₁) + y₁

This gives

y = 3(x - 0) + 1

Evaluate the product

y = 3x + 1

Hence, the equation of the points is y = 3x + 1

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7 0
2 years ago
PLEASE HELP!!!!!! I NEED THIS ASAP
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Answer:

11.2

Step-by-step explanation:

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2 years ago
What is the next term in the geometric sequence -1 -2 -4
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-8

Step-by-step explanation:

r=2

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3 years ago
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2 years ago
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably norma
Nataliya [291]

Answer:

The degrees of freedom is 11.

The proportion in a t-distribution less than -1.4 is 0.095.

Step-by-step explanation:

The complete question is:

Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the proportion in a t-distribution less than -1.4  if the samples have sizes 1 = 12 and n 2 = 12 . Enter the exact answer for the degrees of freedom and round your answer for the area to three decimal places. degrees of freedom = Enter your answer; degrees of freedom proportion = Enter your answer; proportion

Solution:

The information provided is:

n_{1}=n_{2}=12\\t-stat=-1.4

Compute the degrees of freedom as follows:

\text{df}=\text{Min}.(n_{1}-1,\ n_{2}-1)

   =\text{Min}.(12-1,\ 12-1)\\\\=\text{Min}.(11,\ 11)\\\\=11

Thus, the degrees of freedom is 11.

Compute the proportion in a t-distribution less than -1.4 as follows:

P(t_{df}

                      =P(t_{11}>1.4)\\\\=0.095

*Use a <em>t</em>-table.

Thus, the proportion in a t-distribution less than -1.4 is 0.095.

8 0
3 years ago
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