Answer:
(3x-1)(x+5)
Step-by-step explanation:
Find two numbers that when they multiply, you get the third term,
which is -5 in this problem. And when they add up, you get the second term,
which is 14 in this problem.
Answer:
g 78 degress
Step-by-step explanation:
Remark: What might be confusing you is the the given expression must add up to 90o. You know this because <B = 90 so the other two angles must be 90o.
Equation
5x - 10 + 6x - 21 = 90 Combine like terms on the left
11x - 31 = 90 Add 31 to both sides.
11x - 31 + 31 = 90 + 31
11x = 121 Divide by 11
x = 121/11 = 11.
Find the value of 6x - 21
6*11 - 21 = 66 - 21= 45
Comment
The central angle for arc AB (which is double ADB = 2*45 =90) is 90. So arc AB = 90
You are given a bond interest of 6% that was given on January 1, 2016, with a face value of $600,000. Also, the market yield for bonds of similar risk, that <span>the market yield for bonds of similar risk and maturity was 7% and </span>the interest is paid semiannually on June 30 and December 31. You are to find the bond value on January 1, 2016. In here, because the yield of the market is above 6%, the bonds will have a discount for bonds less than $600,000.
Cash interest
= 0.06 * $600,000 * 6/12 (because it is done semiannually)
= $18,000
7%/2 = 3.5%
PV of interest at 3.5%
= $18,000 * 6.87396
= $123,731
PV of face at 3.5%
= $600,000 * 0.75941
= $455,646
Value of bond
= PV on interest + PV of face
= $123,731 + $455,646
= $579,377
The baker can make a cake 50 times before he runs out of the vanilla extract since 1 liter equates to 1000 milliliters, and 1000 divided by 20 is 50.
Hope this helps~Have a great day!
