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3 years ago

A swimming pool has a rectangular base 10 ft long and 20 ft wide. The sides are 4 ft high, and the pool is half

Mathematics

1 answer:

Lostsunrise [7]3 years ago

7 0

Answer:74880 ft.lb

Step-by-step explanation:

Given

Dimension of pool

base=10 ft

width=20 ft

height=4 ft

Pool is half filled

volume of Pool $=10\times 20\times 2=400 ft^3$

mass of water $=\rho \times volume$

mass $=62.4\times 400=24,960 lb$

This pool is in the form parallelepiped therefore average distance $=\frac{4+2}{2}=3$

Work $= 249600\times 3=74880 ft.lb$

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Solve for x. Please help quick, it’s my last question for my test

Sladkaya [172]

Answer:

x = 9

Step-by-step explanation:

84 + (7x + 5) + (180 - (17x-1)) = 180

84 + 7x + 5 + (181 - 17x) = 180

270 + (-10x) = 180

90 = 10x

x = 9

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2 years ago

The value of a certain car after one year was $13,595. The value of the same car after 3 years was $11,095. Find the slope and e

Oksanka [162]

Answer:

-1250/1 or -1250

This tells us that the car depreciated in value by $1250 every year.

Step-by-step explanation:

11,095-13,595= -2500

This is the value that the car has depreciated over 2 years (from the first year to the third year)

Since we need to find the slope we divide this value by two.

That value would be -1250

Since the value is negative, we know the car has depreciated in value. We also now know that it depreciated in value by $1250 every year

Hope this helps!

7 0

3 years ago

In 1987, 522 comma 000 people worked in the air transportation industry. In 2003, the number was 480 comma 000. (a) Find a li

umka2103 [35]

Answer:

the linear equation is :

y= -2625x+5737875

and 440000 employees will be in year 2271

Step-by-step explanation:

in order to find the linerar equation let us first convert the given data into (x,y ) co-ordinates i.e

x1= 1987 y1= 522,000

and

x2= 2003, y2 = 480000

according to two point form:

$y-y1 = (y2-y1) \frac{x-x1}{x2-x1}$

In this example we have x1=1987 , y1=522000 , x2=2003 and y2=480000. So,

$y - 522000 = \frac{480000-522000}{2003-1987} (x-1987)\\y- 522000 = -2625(x-1987)\\y- 522000= -2625x+5215875\\\\y= -2625x+5737875$

now to find the year when there will be 440000 employs working , we simply put y= 440000 in the above derived equation

$440000= -2625x+ 5737875\\\\2526x = 5737875 -440000\\2526x = 5736555\\x= \frac{5736555}{2526} \\x= 2271$

7 0

3 years ago

A zoo has 15 Emperor penguins. The Emperor penguins make up 30%, percent of all the penguins at the zoo. How many penguins live

IgorC [24]

15 x 100/30 = 50

50 penguins live at the zoo.

4 0

3 years ago

Read 2 more answers

You take out $50,000 for loans during your college career. You must pay it back with 7% APR for 20 years, making monthly payment

Ad libitum [116K]

Answer:

The monthly payment for the loan amount for 20 years is $806.167

Step-by-step explanation:

The principal loan amount= $ 50,000

The rate of interest = 7 %

the time period of loan = 20 years = 20 × 12 = 240 months

let the amount after 20 years = $ A

<u>From Compounded method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm Time}$

or, A = 50,000 × $(1+\dfrac{\textrm 7}{100})^{\textrm 20}$

or, A = 50,000 × $(1.07)^{20}$

Or, A = 50,000 × 3.8696

∴ Amount = $ 193,480

So, The amount after 20 years = $ 193,480

The monthly payment amount = $ $\frac{193480}{240}$ = $ 806.167

Hence The monthly payment for the loan amount for 20 years is $806.167 Answer

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3 years ago