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Tamiku [17]
2 years ago
12

In 10 years, a bank account with a 5.25% annual interest rate earned $18,375 as simple interest. What was the principal amount?

Mathematics
1 answer:
sdas [7]2 years ago
5 0

Answer:

The principal amont was $35,000

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this problem, we have that:

E = 18375, t = 10, I = 0.0525

We want to find P. So

E = P*I*t

18375 = P*0.0525*10

0.525P = 18375

P = \frac{18375}{0.525}

P = 35000

The principal amont was $35,000

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x = \frac{3b}{2A} +\frac{9}{2}

Step-by-step explanation:

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3 years ago
 A barrel contains 56 litres of kerosene. It has two taps. One tap draws 500 ml every 6 minutes. After first 5 litres are drawn
tigry1 [53]

Answer:

The tank will empty in 4 hours.

Step-by-step explanation:

Since a barrel contains 56 liters of kerosene, and it has two taps, one tap that draws 500 ml every 6 minutes and after first 5 liters are drawn from the barrel, the second tap also starts, and it draws 1 liter in every 5 minutes, to determine how many hours will be taken in all to empty the tank, the following calculation must be performed:

0.5 x X = 5

X = 5 / 0.5

X = 10

10 x 6 = 60

1 hour = 51 liters

1 hour 30 minutes = 51 - (1 x 6) - (0.5 x 5) = 42.5

2 hours = 42.5 - (1 x 6) - (0.5 x 5) = 34

2 hours 30 minutes = 34 - (1 x 6) - (0.5 x 5) = 25.5

3 hours = 25.5 - (1 x 6) - (0.5 x 5) = 17

3 hours 30 minutes = 17 - (1 x 6) - (0.5 x 5) = 8.5

4 hours = 8.5 - (1 x 6) - (0.5 x 5) = 0

Therefore, the tank will empty in 4 hours.

3 0
3 years ago
Make <br> x<br> the subject of the formula<br> x<br> −<br> 3<br> =<br> q
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Answer:

x = q + 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
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Step-by-step explanation:

<u>Step 1: Define Equation</u>

x - 3 = q

<u>Step 2: Solve for </u><em><u>x</u></em>

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The absolute value function, f(x) = |x + 2|, is shown.
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Incomplete question

Step-by-step explanation:

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3 years ago
I’m confused?????????
QveST [7]

Answer:

The equation of the line is y - 3 = 2.5(x - 2) ⇒ D

Step-by-step explanation:

The rule of the slope of a line is m = \frac{y2-y1}{x2-x1} , where

  • (x1, y1) and (x2, y2) are two points on the line

The point-slope form of a line is y - y1 = m(x - x1), where

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From the given figure

∵ The line passes through points (2, 3) and (0, -2)

∴ x1 = 2 and y1 = 3

∴ x2 = 0 and y2 = -2

→ Substitute them in the rule of the slope to find it

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→ Substitute the values of m, x1, y1 in the form of the equation above

∵ m = 2.5, x1 = 2, y1 = 3

∵ y - 3 = 2.5(x - 2)

∴ The equation of the line is y - 3 = 2.5(x - 2)

6 0
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