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Zinaida [17]
3 years ago
12

Need help with problem 11.

Mathematics
1 answer:
konstantin123 [22]3 years ago
5 0
-6<3x+12≤18
-6-12<3x≤18-12
-18<3x≤6
-18/3<x≤6/3
-6<x≤3
Domain=(-6,3]
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In the year 1987, an investment was worth $29,800. In the year 1997, this
Veseljchak [2.6K]

Answer:

a) 46.98%

b) increasing rate of change

Step-by-step explanation:

In year 1987, investment worth $29800

In year 1997, investment worth $43800

Rate of change = 1997investment - 1987investment / 1987investment × 100

Rate of change = 43800 - 29800/29800 × 100

= 14000/29800 × 100

= 0.46979 × 100

= 46.98%

Therefore, the rate of change of the investment during the time period is 46.98%.

b) The rate of change of the investment is increasing. This is as a result of the following reasons. First, the value of rate of change is positive. Second, there is no value for rate of change for period before the time period so we cannot compare rate of change.

8 0
4 years ago
The formula m = 12,000 + 12,000rt 12t gives Keri's monthly loan payment, where r is the annual interest rate and t is the length
alexandr1967 [171]

Answer:

  $240

Step-by-step explanation:

Fill in the given numbers and do the arithmetic.

m=\dfrac{12,000+12,000rt}{12t}=\dfrac{12,000+12,000\cdot 0.04\cdot 5}{12\cdot 5}\\\\m=\dfrac{14,400}{60}=240

Keri's monthly loan payment is $240 per month.

3 0
3 years ago
Read 2 more answers
If f(x)= -3-5 and g(x)= 4x-2, find (f-g)(x)
lora16 [44]

Answer:

3^x+6x+2

Step-by-step explanation:

if f(x)= -3-5 and g(x)= 4x-2, find (f-g)(x)=3^x+6x+2

4 0
3 years ago
A rectangular yard is 20 feet by 15 feet. The yard Is covered with grass except for an 8.5 feet. Square flower garden. How much
stich3 [128]

Answer: 227.75\ ft^2

Step-by-step explanation:

<h3> The complete exercise is: "A rectangular yard is 20 ft by 15 ft. The yard is cover with grass except for 8.5 feet square flower garden. How much grass is in the yard?"</h3><h3 />

The area of a rectangle can be calculated with the following formula:

A=lw

Where "l" is the lenght of the rectangle and "w" is the width.

Based on the data given in the exercise, you can identify tha the length and the width of the rectangular yard are:

l=20\ ft\\\\w=15\ ft

Then, you can substitute these values into the formula and then evaluate in order to find the area of the entire yard:

A_y=(20\ ft)(15\ ft)=\\\\A_y=300\ ft^2

The area of the flower garden which is an square, can be calculated with this formula:

A=s^2

Where "s" is the side length.

 In this case you know that:

s=8.5\ ft

Then the area of the flower garden is:

A_g=(8.5\ ft)^2\\\\A_g=72.25\ ft^2

<em> </em>Since this is not covered with grass, you need to subtract both areas calculated above in order to find the surface covered with grass in the yard.

This is:

A_g=300\ ft^2-72.25\ ft^2\\\\A_g=227.75\ ft^2

4 0
3 years ago
Describe a scenario where the function value exists at x=c, but the limit does not exist.
Vikki [24]

The scenario can be described using a piecewise function like:

f(x) = 1/x                  if  x < c.

f(x) = x                    if   x = c

f(x) = 1/(x + 73)       if x > c.

<h3>When the value exists but the limit does not?</h3>

Remember that the limit only exists if the limit from left and the limit from the right give the same value.

Then, we can just define a piecewise function of the form:

f(x) = 1/x                  if  x < c.

f(x) = x                    if   x = c

f(x) = 1/(x + 73)       if x > c.

Clearly, this is not a continuous function.

Notice that:

f(c) = c.\\\\ \lim_{x \to c^{-}} f(x) = 1/c\\\\ \lim_{x \to c^{+}} f(x) = 1/(c + 73)

So the limits from left and right are different, then:

\lim_{x \to c^{}} f(x)

Does not exist.

If you want to learn more about limits:

brainly.com/question/5313449

#SPJ1

6 0
2 years ago
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