Answer:
the answer is 3
Step-by-step explanation:
3/18 divided 7/21 =3/18 multiply by 21/7 (we have to flip the second fraction and multiply by 3/18)= 63/126=1/2
So the answer is 1/2
The formula for calculating compound interest with yearly contributions is:
Balance = X*(1 + Y)^n + Z((1 + Y)^(n + 1) - (1 + Y)/Y)
where the balance is the money earned after n years invested
Y is the interest rate as a fraction
Z is the yearly contribution
X is the starting investment
Therefore the calculation for this example is:
Balance = 1200*(1 + 0.05)^48 + 1200((1.05)^49 - (1.05)/05)
= $249,393.5
Answer:
The length of XY is 32
Step-by-step explanation:
Notice that you have a bisector segment (that divides the segment XY into two equal parts.
since these parts are equal, they must satisfy:
3 x + 1 = 8 x - 24
so, let's solve for x, grouping terms with x on the right of the equal sign, and numerical terms on the left:
1 + 24 = 8 x - 3 x
25 = 5 x
then x = 25/5 = 5
then,now you can find the length of XY as the addition of both parts:
3 x + 1 + 8 x - 24 = 3 (5) +1 + 8 (5) - 24 = 16 + 16 = 32
