Answer:
Step-by-step explanation:
AB^2 = HB^2 + AH^2 => AB = 15cm
Ta co cong thuc: 1/AH^2 = 1/AB^2 + 1/AC^2 => AC=20cm
Vay SABC= 1/2 .AB.AC = 1/2 .15.20=150cm^2
Yes. By all means yes. Its very very possible. In fact it can go in there ten times over.
Answer:
Sydney is 52 years old, and Tristan is 30.
Step-by-step explanation:
Represent Tristan's age by t and Sydney's by s.
Then s - 8 = 2(t - 8), and t = s - 22
Substituting s - 22 in the first equation, we get:
s - 8 = 2(s - 22 - 8), or
s - 8 = 2s - 60
Solving for s: -2s + s = -60 + 8, or -s = -52.
Sydney is 52 years old, and Tristan is 30.
Answer:
it's 0.198
Step-by-step explanation:
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.