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.
So the difference of a square and a rectangle is that a square is a quadrilateral with all four right angles an all sides are same length. A rectangle has same length on opposite sides of the shape.
Answer:
The unemployment rate would be 5.5%.
Step-by-step explanation:
It is given that,
The Canadian labor force as of 2019 was 32.7 million.
There were 30.9 million employed
We need to find the unemployment rate.
Unemployed = labor force - employed
= 32.7 - 30.9
= 1.8 million

So, the unemployment rate would be 5.5%.
Answer:
-5
Step-by-step explanation:
<em>Rate of change = Rise/Run = Δy / Δx</em>
<em>Therefore, the rate of change of slope = (y2 – y1) / (x2 – x1)</em>
(0 – -5) / (4 – 5)
5 / -1
<u>= -5</u>