Answer:
C. 20
Step-by-step explanation:
Let's say M is the original number of men and W is the original number of women.
M / W = 3 / 5
(M+2) / (W+1) = 2 / 3
Let's cross multiply both equations:
5M = 3W
3(M+2) = 2(W+1)
Let's simplify the second equation:
3M + 6 = 2W + 2
3M + 4 = 2W
From the first equation:
M = 3/5 W
Substitute:
3 (3/5 W) + 4 = 2W
9/5 W + 4 = 2W
4 = 1/5 W
W = 20
There were originally 20 women.
Let's check our answer. That would mean that M = 3/5 W = 12.
After 2 men walk in and 1 woman, W = 21 and M = 14, so 14/21 = 2/3. Looks like the answer is correct!
Answer C.
Answer:
$1,105.08.
Step-by-step explanation:
Given that Alice invests $ 1000 at 2% interest compounded monthly over a 5 year period, assuming no other money is deposited or withdrawn, to determine what is the total amount of money in her account after 5 years, the following calculation must be performed:
X = 1,000 (1 + 0.02 / 12) ^ 5x12
X = 1,105.08
Thus, the amount of money in her account after 5 years would be $ 1,105.08.
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30.
Factors of 70: 1, 2, 5, 7, 10, 14, 35, 70
factorization of 45 is 5 x 3 x 3, or 5 x 3^2.
M is the exponent of z inside parentheses. In expanded form, the exponent of z is 8m, so m is 1/8 of the exponent of z.
