In the diagrams, the pre-image is shown with a dashed line and the image is shown with a solid line. Which

You get a raise of 3.5% each year.

Sindrei [870]

Using an exponential function, it is found that:

a) The doubling time of the salary is of approximately 20 years.

b) The salary will be of $160,000.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

The growth rate for this problem is:

r = 0.035.

The doubling time is t for which A(t) = 2A(0), hence:

$A(t) = A(0)(1 + r)^t$

$2A(0) = A(0)(1.035)^t$

$(1.035)^t = 2$

$\log{(1.035)^t} = \log{2}$

$t\log{1.035} = \log{2}$

$t = \frac{\log{2}}{\log{1.035}}$

t = 20 years.

You retire in 40 years, which is 2 doubling periods, hence the salary will be of:

40000 x 2 x 2 = $160,000.

More can be learned about exponential functions at brainly.com/question/25537936

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3 0

2 years ago

The sum of a number and 7 algebraic expression

Arisa [49]

Since it says the sum of any number not one in specific then the value will be x, plus the sum of 7,

$x + 7$

5 0

3 years ago

HELP FASTTTT

UkoKoshka [18]

The line plot illustrates the capacity of the kitchen sink in gallons, and it has a sample size is 21. The distribution is positively skewed, with an appropriate measure of center is 16 and an appropriate measure of spread is 2.5

<h3>The description of the data</h3>

The dataset on the line plot represents the capacity of the kitchen sink.

The capacities are measured in gallons

<h3>The number of data values</h3>

This is the number of dots on the line plot.

There are 21 dots on the plot

Hence, the number of data values is 21

<h3>The shape of the distribution</h3>

The shape of the given distribution is positively skewed.

This is so because there are more points on the left of the distribution

<h3>Appropriate measure of center</h3>

The median is the appropriate measure of center for a skewed distribution.

So, we simply calculate the median.

The median position is calculated using

Median = 0.5 * (n + 1) th

So, we have:

Median = 0.5 * (21 + 1) th

Median = 11th

The 11th data element is 16

Hence, the value of an appropriate measure of center is 16

<h3>Appropriate measure of spread</h3>

The IQR is the appropriate measure of spread for a skewed distribution.

The IQR is:

IQR = Q3 – Q1

Where:

Q3 = 0.75(n + 1)th and Q1 = 0.25(n + 1)th

This gives

Q3 = 0.75 * (21 + 1)th = 16.5

Q1 = 0.25(21 + 1)th = 5.5

The 16.5th element is 17.5, while the 5.5th element is 15

Recall that:

IQR = Q3 – Q1

So, we have:

IQR = 17.5 - 15

Evaluate

IQR = 2.5

Hence, the value of an appropriate measure of spread is 2.5

Read more about line plots at:

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8 0

2 years ago

What is the value of x? (60 POINTS BRANLIEST IF RIGHT)

Aleksandr-060686 [28]

Answer:

Since all three of the interior angles are the same degree, the three sides must be the same length. So, 3x - 5, 4x - 30, and 2x + 20 must be equal.

To solve for x, you can just set one of the sides equal to another one of the sides. I will do 3x - 5 and 4x - 30.

3x - 5=4x - 30

Add 5 to both sides.

3x = 4x - 25

Subtract 4x from both sides.

-x = -25

Divide both sides by -1.

x=25

:)

8 0

3 years ago

Read 2 more answers

Suppose you deposit $2,500 in a savings account that pays interest at an annual rate of 5%. If no money is added or withdrawn

lukranit [14]

Answer:

the answer would be c.

Step-by-step explanation:

8 0

4 years ago