Answer:
The width of the piece is 11 inches
Step-by-step explanation:
Let
x ----> the length of the rectangular piece of aluminum in inches
y ----> the width of the rectangular piece of aluminum in inches
we know that
The perimeter of the rectangular piece of aluminum is equal to
we have
so
simplify
----> equation A
----> equation B
Solve the system by substitution
substitute equation B in equation A
solve for y
therefore
The width of the piece is 11 inches
Answer:
r = 7
Step-by-step explanation:
60 = -24 + 12r
<u>+24 +24</u>
84 = 12r
84 ÷ 12 = r
7 = r
Check:
60 = -24 + 12r
-24 + 12(7)
-24 + 84 = 60
9514 1404 393
Answer:
c. 3 to 4
Step-by-step explanation:
There are 3 oranges and 4 apples in the bowl, so the ratio is ...
oranges/apples = 3/4 or 3 to 4
Answer:4
Step-by-step explanation:
A zero-coupon bond doesn’t make any payments. Instead, investors purchase the zero-coupon bond for less than its face value, and when the bond matures, they receive the face value.
To figure the price you should pay for a zero-coupon bond, you'll follow these steps:
Divide your required rate of return by 100 to convert it to a decimal.
Add 1 to the required rate of return as a decimal.
Raise the result to the power of the number of years until the bond matures.
Divide the face value of the bond to calculate the price to pay for the zero-coupon bond to achieve your desired rate of return.
First, divide 4 percent by 100 to get 0.04. Second, add 1 to 0.04 to get 1.04. Third, raise 1.04 to the sixth power to get 1.2653. Lastly, divide the face value of $1,000 by 1.2653 to find that the price to pay for the zero-coupon bond is $790,32.
Answer:
Step-by-step explanation:
The answer is:
s= -1 and t = - 1
