Answer:
$62,490.65
Step-by-step explanation:
If we assume her deposits are at the beginning of the month, and that the interest is compounded monthly, the future value is that of an "annuity due." The formula is ...
FV = P(1+r/n)((1+r/n)^(nt)-1)/(r/n)
where r is the APR (.0276), n is the number of yearly compoundings (12), P is the monthly payment ($280), and t is the number of years (15). Putting the numbers into the formula and doing the arithmetic, we get ...
FV = $280(1.0023)(1.0023^180 -1)/(.0023) ≈ $62,490.65
Angelica's account balance after 15 years will be $62,490.65.
_____
If her deposits are at the end of the month, the balance will be $62,347.25.
The spaceship must travel 2/3 of a light to get to the moon. Hope this helps!
Answer: 20ways
Step-by-step explanation:
Number of candies = 7
Number of kids = 4
Since each kid must receive at least one candy ;
Therefore number of candies left to ration is
7 - 4 = 3 candies ; among 4 kids.
To share 'n' identical object among 'r' number of individuals can be expressed in the form :
[n+(r-1)Cr-1]
n = 3 ; r = 4
[3+(4-1)C4-1] = 6C3
Recall: nCr = n! / (n-r)!r!
6C3 = 6!/(6-3)!3!
6C3 = 6!/3!3!
= (6 * 5 * 4) / (3 * 2 * 1)
= 120 / 6
= 20ways
15. x ≤ -24
x + 19 ≤ -5
x ≤ -24
16. z > -12
3z > -36
z > -12
17. 185 + c > 410; c > 225
18. C.
x - 6 ≥ 1
x ≥ 7
Answer:
4 times
Step-by-step explanation:
Sample space :
6 sided cube = (1, 2, 3, 4, 5, 6)
Coin = (H, T)
Probability = required outcome / Total possible outcomes
Probability of head (H) = P(H) = 1 /2 = 0.5
Probability of 3 = P(3) = 1 /6 = 0.166666
Probability of heads and 3 on a single try = p(H) * p(3) = 0.5 * 0.166666 = 0.083333
Hence, expected number of times this is likely to occur in 48 tries :
0.083333 * 48 = 4
