The future value of $1,000 invested at 8% compounded semiannually for five years is 
<u>Solution:</u>
----------- equation 1
A = future value
P= principal amount
i = interest rate
n = number of times money is compounded
P = 1000
i = 8 %
(Compounding period for semi annually = 2)
Dividing “i” by compounding period
Solving for future value using equation 1
Answer:
option B
Step-by-step explanation:
Given:
per day late costs= 1.50
Purchase price= 9.99
A round trip cab ride to the video store will cost = 10
5 day late cost= 5(1.50)
= 7.50
Payment after 5 day late= 5 day late cost + Purchase price
= 7.50 + 9.99
= 17.49
If she gets a cab, then total payment= 10 + 7.50
= 17.50
Hence both costs almost the same, option B is true
b.
It would cost about the same to keep or return the movie. Susan should keep it!
Answer:
A = 5x³ + 17x² - 35x - 30
Step-by-step explanation:
the shaded area (A) is calculated as
A = outer area - inner area
= (5x + 3)(x² + 4x - 10) - 3x(2x - 1) ← distribute parenthesis
= 5x³ + 20x² - 50x + 3x² + 12x - 30 - (6x² - 3x)
= 5x³ + 23x² - 38x - 30 - 6x² + 3x ← collect like terms
= 5x³ + 17x² - 35x - 30
Split the room into 2 rectangles
area = 5*4 + 3*3 = 29 sq ft
So the cost is 29*8 = $232
Answer:
24
Step-by-step explanation:
Let the number be x.
Sum of the number and 6: 
Divide it by 3: 
Result is 4 more than one quarter of the number:
Multiply both sides by 12:
Simplify:
Expand:
Subtract 24 from both sides:
Subtract 3x from both sides:
The number is 24.
