Answer:

Step-by-step explanation:
Given



Required
Determine CD
Since, C is a point on BD, the relationship between the given parameters is;

Substitute the values of BD, BC and CD

Collect Like Terms


Divide both sides by -4


To determine the length of CD;
Substitute 3 for x in 
Hence;

Answer:
hope that help u
Step-by-step explanation:
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. Standard Equation. The standard form to find the value of X in multiplication operation is. Divisor × Dividend = Product. Let us take dividend = x, Divisor × x = Product
There's only information to answer question C.
We can only know that 32 marbles were chosen. (yellow and black)
Why?
To answer the first two questions (a and b), we need to know the total number of marbles, so, we can only answer the last question (c).
We know that 7/10 of the 20 yellow marbles were chosen.
So, calculating we have:

Also, we know that 18 black marbles were chosen, so, the total of marbles chosen is equal to 32 (yellow marbles and black marbles)

Have a nice day!
Answer:
c
Step-by-step explanation:
u must add up the coordinates
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