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4 years ago

12

Sue bought a picnic table on sale for 50% off the original price. The store charged her 10% tax and her final cost was $22.00. W

hat was the original price of the picnic table?

1 answer:

timama [110]4 years ago

8 0

Answer:

40

Step-by-step explanation:

Final cost is 22, which is 110% of the price., which makes final cost to be 22/1.1=20

The original price 20/0.5=40

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Drag each tile to the correct box.

Natasha_Volkova [10]

Answer:

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

Step-by-step explanation:

we know that

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

the average rate of change is equal to

$\frac{f(b)-f(a)}{b-a}$

step 1

Find the average rate of change of function h(x) over interval [3,5]

Looking at the third picture (table)

$f(a)=h(3)=4$

$f(b)=h(5)=16$

$a=3$

$b=5$

Substitute

$\frac{16-4}{5-3}=6$

step 2

Find the average rate of change of function f(x) over interval [3,6]

Looking at the graph

$f(a)=f(3)=10$

$f(b)=f(6)=35$

$a=3$

$b=6$

Substitute

$\frac{35-10}{6-3}=8.33$

step 3

Find the average rate of change of function g(x) over interval [2,3]

we have

$g(x)=\frac{1}{5}(4)^x$

$f(a)=g(2)=\frac{1}{5}(4)^2=\frac{16}{5}$

$f(b)=g(3)=\frac{1}{5}(4)^3=\frac{64}{5}$

$a=2$

$b=3$

Substitute

$\frac{\frac{64}{5}-\frac{16}{5}}{3-2}=9.6$

therefore

In order from least to greatest according to their average rates of change over those intervals

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

7 0

3 years ago

What is the volume of this prism?<br> Enter your answer in the box.

jarptica [38.1K]

Short Answer: 560 cm squared

Long Answer:

You can get the volume of a rectangular prism by multiplying the height, width, and length together.

7 0

2 years ago

The Millers plan on retiring soon. When they were first married they purchased 1,000 shares in a mutual fund that was at that ti

Degger [83]

Answer: 6.8%

Step-by-step explanation:

We need to find both percentage so we can determine the increase.

Finding percentage of $10 return: 1% return

Finding percentage of $78 return: 7.8% return

To find the percent increase we do 7.8%-1.0% = 6.8%

7 0

3 years ago

In the U.S thirteen of twenty cans are recycled. What % of cans are recycled?

madam [21]

A percent is how many out of 100.

13/20 is how many out of 100?

You multiply the top and bottom by 5, as 5x20 is 100

13x5 is 65

Therefore, 65 out of every hundred cans, or 65%, are recycled

8 0

4 years ago

Find each unit rate. 1 ¼ hours in 5 days.

earnstyle [38]

Dividing 1 1/4 hrs by 5 days results in the unit rate:

1 1/4 hrs 5/4 hrs

----------- = ---------------- = 1/4 hr per day

5 days 5 days

7 0

3 years ago