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mamaluj [8]
3 years ago
11

Describe how to determine the average rate of change between x=1 and x=3 for the function fx=3x^2=1/ Include the average rate of

change in your answer.
Mathematics
1 answer:
mezya [45]3 years ago
4 0

Answer:

To find the average rate of change, we divide the change in the output value by the change in the input value.

Step-by-step explanation:

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A total of $12,000 is invested at an annual interest rate of 9%. Find the balance
sineoko [7]

Answer:

$18,726.11

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First lets change 9% into a decimal:

9% -> \frac{9}{100} -> 0.09

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

A=12,000(1+\frac{0.09}{4})^{4(5)}

A=18,726.11

<u>The balance after 5 years is $18,726.11</u>

6 0
3 years ago
The price of a pair of jeans was $60 after a 50% markup. What was the price of the jeans before the markup?
zhenek [66]

Answer:

40

Step-by-step explanation:

We have an original price p

We mark them up by 50%

p + p*50%

Changing to decimal form

p+.50p = 1.5p

The new price is 60 dollars

1.5p = 60

Divide each side by 1.5

1.5p/1.5 = 60/1.5

p =40

The original price is 40

5 0
3 years ago
Read 2 more answers
Taylor earned $48 for 6 hours of babysitting and $68 for 8.5 hours of babysitting. How long would she have to babysit to earn $3
ZanzabumX [31]
48÷6=$8 per hour
So
32÷8=4 hours
6 0
3 years ago
Find the value of 4/5 - 7/5 to its lowest terms
erik [133]

Answer:

Step-by-step explanation:

4/5 - 7/5

7-4/5

3/5

Or

4/5 - 7/5

4-7/5

-3/5

3 0
2 years ago
PLEASE HELP!! Write an equation of g(x) that represents an exponential base “e” parent function with the following transformatio
Montano1993 [528]

Answer:

g(x) = 12 {e}^{ - x - 7}

Step-by-step explanation:

The parent function is

g(x) = e {}^{x}

First it is asked to reflect over the y axis so using the rule

g(x) = g( - x)

Our function looks like

g(x) = e {}^{ - x}

Then we are asked to shift the equation to the right 7. When shifting to the right or move the x axis, instead of adding 7 we would want to subtract 7 since the x axis is the independent variable and we must respect the y axis which is the dependent so using the rule

g(x) = g(x - h)

When subtracting a 7 it looks like now

where h is the number we move . Now we are asked to apply a vertical stretch of 12. Since vertical stretch refers to the y axis, we are just going to multiply the function by 12 using the rule

g(x) = a \times g(x)

where a is the vertical stretch. So now it would look like

g(x) = 12 {e}^{ - x - 7}

4 0
3 years ago
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