Answer:
37.2
Step-by-step explanation:
when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.
therefore the corresponding side lengths are at the same ratio.
LM/KM = MN/LN
LM = 24
MN = 13
we can get LN via Pythagoras of the small triangle
LN² + MN² = LM²
LN² + 13² = 24²
LN² = 24² - 13² = 576 - 169 = 407
LN = sqrt(407) = 20.174241
now back to our main problem
24/KM = 13/sqrt(407)
24×sqrt(407)/13 = KM = 37.2
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.
You need to find the slope
251-248. 3
------------- = --------
2005-1965. 40
Answer:
A 3/5
Step-by-step explanation:Here’s one way to solve this problem.
Write sixty percent as a fraction having a denominator of one hundred.
Now, change sixty-hundredths to an equivalent fraction having a denominator of twenty, the total number of pitches.
Do this by dividing the numerator and the denominator by five.
Then, simplify the fraction twelve-twentieths by dividing the numerator and the denominator by four.
So, Lenora hit three-fifths of the pitches.
