Answer is $963.43
Step by step.
The computer is $890. Sales tax is 8.25%.
Multiply $890 x 8.25% (or .0825) and add that tax to the cost.
$890 x 8.25% = 73.43.
$890 + 73.43 = $963.43 is your answer.
Answer:
N ( s ) = 100
Y = { 01 , 02 ,03 ,04 ,05 , 06 ,07 , 08 , 09 , 10 , 20 ,30 , 40 ,50 , 60 ,70 ,80 , 90 }
so
n ( y ) = 18
P ( y ) = n ( y ) / n ( S )
= 18 /100
= 9 /50
x = { 09 , 18 , 27 , 36 , 45 , 54 , 63 , 72 , 81 , 90 }
n ( x ) = 10
P ( x ) = n ( x ) / n ( s )
= 10 / 100
= 1 / 10
so probability of event x is 1/10 and event y is 9/50
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.
1. the 24 students in Anne's class.
2. 1 of the 24 students is chosen at random.
3. 1/24 or 0.04166666666...
4. Unlikely, due to her small, but present, chances of 1/24.
Answer:
First Option
Step-by-step explanation:
The number of solutions is given by the values in which the equation of the circumference is equal to the equation of the line.
In other passwords the number of solutions is equal to the number of times the line intersects or touches the circumference.
Notice in the graph that the line does not touch the circumference.
Therefore for this case there are no solution