Answer:
The PV of an ordinary annuity with 10 payments of $2,700 if the appropriate interest rate is 5.5% is $20,352.
Step-by-step explanation:
P = PMT [(1 - (1 / (1 + r)
)) / r]
= 2,700 [(1 - (1 / (1 + 0.055)
)) / 0.05]
= 2,700 [(1 - (1 / (1 + 0.055)
)) / 0.05]
= 2,700 [(1 - (1 / (1.708)) / 0.05]
= 2,700 [(1 - 0.58)) / 0.05]
= 2,700 [(0.41457) / 0.05]
= 2,700(7.53)
=$ 20,352
Answer:
Correct choice is B
Step-by-step explanation:
Let x% be your final test score, then the average of all test scores is

Since you must have an average between 80% and 89%, then

X is measured in percent, then the greatest value of x can be 100%. You get that

20 * .10 = 2 <em>(2 = 10% of 20)</em>
20 + 2 = 22
20 x .07 = 1.4 <em>(1.4 = 7% of 20)</em>
20 + 1.4 = 21.4
The price of a 20$ haircut with a 10% tax would be $22.
The price of a 20$ haircut with a 7% tax would be $21.40.
Answer:
We have expanded formula of (-4x-1)² = a²+2ab+b².
So, we write the formula in square form as (a+b)².
Since we have a²-b² in step 4. We further write this as (a+b)(a-b). This is the factor formula of a²-b².
As we had two terms in place of in (a+b)(a-b), we multiply the term 'b' with '+' and '-' sign respectively.
Write the second expression given in the question.
Write the terms in the form of cube.
Write the factor formula of a³-b³) in the form of (a-b)(a²+ab+b²).
Write the H.C.F. (Highest Common Factor) of the given expressions by analysing the factors you generated in each expressions. Here, (4x²+2x+1) are the common factors.
Answer:
76.75
Step-by-step explanation:
83.5 + 70= 153.5
153.5 / 2 = 76.75
Your grade would be 76.75.
HOPE THIS HELPED