Answer:
48
Step-by-step explanation:
no explanation im just big brain
Answer:
= 0.45
= 0.54 repeating
Step-by-step explanation:
You can solve these easily with a calculator.
= 0.45
= 0.54 repeating
It may be easier to start from
.. a(x +3)(x -1) = 0
.. a(x^2 +2x -3) = 0
The quadratic
.. ax^2 +bx +c = 0 will have solutions -3 and 1 for ...
.. a ≠ 0
.. b = 2a
.. c = -3a
1. Buddy is 1 out of 11 students in the classroom who are spreading Christmas Cheer. What percentage of the class is he?
He is 9% of the class that is spreading Christmas cheer.
2. Santa's sleigh has a Clausometer. The highest measure is 100%. If the Clausometer measured at 45. What would this number be represented as a decimal?
If the clausometer measured at 45 then this number as a decimal will be represented as 0.45.
3. The Jack-in-the-box toys had to be tested! The toys worked 0.985 of the time! What percentage of time did they work?
They worked 98.5% of the time
4. The guys handing out advertisement flyers have handed out 4/5 of their total flyers. What percentage of flyers has been handed out?
80% of flyers have been handed out.
5. When the lights go out in the store at night, there is a 15% off sign hanging up by the makeup counter. What is this number as a decimal and a fraction in simplest form?
This number as a decimal and a fraction in simplest form is 3/20 and 0.15.
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.
