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3 years ago

A pool is being filled at a constant rate of 5 gallons every 2 minutes. Which graph has a slope that best represents this rate?

Mathematics

1 answer:

Solnce55 [7]3 years ago

8 0

Answer:

21.4 gpm

Step-by-step explanation

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$13,168is invested, part at 13%and the rest at

Kryger [21]

Answer: the amount invested at 13% is $9748

the amount invested at 5% is $3420

Step-by-step explanation:

Let x represent the amount invested at 13%.

Let y represent the amount invested at 5%.

$13,168 is invested, part at 13 % and the rest at 5%. This means that

x + y = 13168

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

Considering the amount invested at 13%,

P = x

R = 13%

T =1 year

I = (x × 13 × 1)/100 = 0.13x

Considering the amount invested at 5%,

P = y

R = 5%

T = 1 year

I = (x × 5 × 1)/100 = 0.05y

If the interest earned from the amount invested at

13% exceeds the interest earned from the amount invested at

5% by $1438.24, it means that

0.13x - 0.05y = 1438.24 - - -- - - - - -1

Substituting x = 13168 - y into equation 1, it becomes

0.13(13168 - y) - 0.05y = 1438.24

1711.84 - 0.13y - 0.05y = 1438.24

- 0.13y - 0.05y = 1438.24 - 1711.84

- 0.08y = - 273.6

y = - 273.6/- 0.08

y = 3420

x = 13168 - y = 13168 - 3420

x = 9748

7 0

3 years ago

In an isosceles triangle the length of the base is 10 cm

lawyer [7]

The computation shows the radius of the circle that is inscribed in the isosceles triangle will be 3.33cm.

<h3>How to calculate the radius?</h3>

From the information given, the isosceles triangle the length of a base is 10 cm and the length of a leg is 13 cm.

Let A = area of the triangle

Let S = semi perimeter of the triangle.

The radius will be: = A/S

where,

$S = \dfrac{(a + b + c)}{2} = \dfrac{(13 + 13 + 10)}{2} = 18$

The radius will be:

$=\dfrac{(\sqrt{18} - \sqrt{13})(\sqrt{18} - \sqrt{13})(\sqrt{18} - \sqrt{10})} { 18}$

= 3.33cm

In conclusion, the radius is 3.33cm.

Learn more about triangles on:

brainly.com/question/17335144

#SPJ4

5 0

2 years ago

Find<br> an irrational number for the square if 20

JulijaS [17]

Answer:

irrational, not a perfect square.

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Please answer ASAP! BRAINLIEST IF CORRECT!

mezya [45]

Answer:

63.66197728% or just 64% lol

Step-by-step explanation:

8 0

3 years ago

Help please

Digiron [165]

Answer:

Option C.

Step-by-step explanation:

Shortest way to solve this question is to find the factors of the given expression.

The given expression is (x² + 13).

Now we have to factorize it.

(x² + 13) = x² + (√13)²

= x² + [-(i)²√(13)²] [Since i = √(-1)]

= x² - (i√13)²

= (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]

Option C will be the answer.

7 0

2 years ago