Answer: q = 3
Step-by-step explanation:
Q = (21 - 15)/2 = 6/2 = 3
If you turn 9 1/3 in to a decimal and 3 1/2 in a decimal also
9 1/3 = 9.3 and 3 1/2 =3.5
9.3+3.5 =12.8
12.8=12 4/5
Answer:
146,736
Step-by-step explanation:
6114 divided by 24 is 146,736
Answer:
12 pencils
Step-by-step explanation:
let no. of pencils bought be x.
54 - 0.75x - 2.50 = 42.50
9 = 0.75x
x = 12
Topic: algebraic equations
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Answer:
The initial amount of investment was $7,822
Step-by-step explanation:
The formula for compound interest, including principal sum is:
, where
- <em>A</em> is the future value of the investment/loan, including interest
- <em>P</em> is the principal investment amount
- <em>r</em> is the annual interest rate (decimal)
- <em>n</em> is the number of times that interest is compounded per unit t
- <em>t</em> is the time the money is invested or borrowed for
Let us use this rule to solve the question
∵ Sam invests a sum of money in a retirement account with a fixed
annual interest rate of 7% compounded quarterly
∴ <em>r </em>= 7% =
= 0.07
∴ <em>n</em> = 4 ⇒ compounded quarterly
∵ After 13 years, the balance reaches $19,280.02
∴ <em>A</em> = 19,280.02
∴ <em>t </em>= 13
Substitute these values in the rule above to find <em>P</em>
∵ 
∴ 
→ Divide both sides by 
∴ 7,821.99888 = <em>P</em>
→ Round it to the nearest dollar
∴ 7,822 = <em>P</em>
∴ <em>P</em> = $7,822
∴ The initial amount of investment was $7,822.