Answer:
53/5
Step-by-step explanation:
since 10 is the denominator of the denominator we can move it to the numerator, giving us 10n/5-3n = 1/5
multiply all sides by 5-3n, giving us 10n = (5-3n)/5
now multiply by 5 to get rid of the final denomintor, 50n = 5-3n
move 3n to the other side 53n = 5, n = 53/5
Answer:
one million seven hundred and fifty thousand
Step-by-step explanation:
the 3 quarter million is 750,000 (seven hundred and fifty thousand)
and the one million is a million
Answer:
$17.85
Step-by-step explanation:
Let the dollar amount per shirt be represented by s.
Let the dollar amount per pants be represented by p.
You have the following system:
3s+2p=104.81
2s+1p=61.33
If I multiply the bottom equation by -2, I can set the system up for elimination since the equations are already and the same form and I will have 2p and -2p in the same column there. 2p+(-2p)=0
Multiplying equation 2 by -2:
3s+2p=104.81
-4s-2p=-122.66
-----------------------Add the equations:
-1s =-17.85
Multiply both sides by -1:
s=17.85
So one shirt cost $17.85
B is the correct answer because it shows the solution set of an inequality
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.