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Juliette [100K]
3 years ago
5

A swimming pool is draining at a constant rate. The table shows the proportional relationship between the change in the water le

vel and the number of hours the pool is draining. Find the constant of proportionality. Then find the change in the water level at 9 hours and at 23 hours of draining.
Draining Swimming Pool
Hours Draining
Change in Water Level​ (in.)
2
3.5
9
​?
17
29.75
23
​?
The swimming pool is draining at a rate of
nothing inches per hour.
​(Type an integer or a​ decimal.)
Enter your answer in the answer box and then click Check Answer.
Mathematics
1 answer:
kaheart [24]3 years ago
6 0

Answer:

first answer:-1.75

second:-15.75

third:-40.25

Step-by-step explanation:i am too lazy srry

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Please help me. This is real confusing. ​
katrin2010 [14]

Answer:

1st problem: b) A=2500(1.01)^{12t}

2nd problem:  c) A=2500e^{.12t}

Step-by-step explanation:

1st problem:

The formula/equation you want to use is:

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

where

t=number of years

A=amount he will owe in t years

P=principal (initial amount)

r=rate

n=number of times the interest is compounded per year t.

We are given:

P=2500

r=12%=.12

n=12 (since there are 12 months in a year and the interest is being compounded per month)

A=2500(1+\frac{.12}{12})^{12t}

Time to clean up the inside of the ( ).

A=2500(1+.01)^{12t}

A=2500(1.01)^{12t}

----------------------------------------------------

2nd Problem:

Compounded continuously problems use base as e.

A=Pe^{rt}

P is still the principal

r is still the rate

t is still the number of years

A is still the amount.

You are given:

P=2500

r=12%=.12

Let's plug that information in:

A=2500e^{.12t}.

6 0
3 years ago
Solve for x round to the nearest tenth.
lesantik [10]

Answer:

x ≈ 15.9

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 6² = 17²

x² + 36 = 289 ( subtract 36 from both sides )

x² = 253 ( take the square root of both sides )

x = \sqrt{253} ≈ 15.9 ( to the nearest tenth )

3 0
3 years ago
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4. Which of the following indicates the multiplication property of equality when solving Vz= 5?
tiny-mole [99]

Answer:

D. 21.

Step-by-step explanation:

The general form of the equation of a circle is:

(x - a)^2 + (y - b)^2 = r^2  where r is the radius.

Comparing:

(x + 5)^2 + (y + 7)^2 = 21^2

So r^2 = 21^2

making r = √21^2

= 21.

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3 0
3 years ago
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MA_775_DIABLO [31]
X+7-3=1 X+4=1 -4 -4 X=-3 Copy exactly how you see it
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3 years ago
Which is the correct use of the distributive property?
sergiy2304 [10]

Answer:

42+18=6(7+3)

Step-by-step explanation:

6x7=42 and 6x3=18

4 0
3 years ago
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