Answer:
10
Step-by-step explanation:
you divide 5 and 50
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Answer:
The ira will contain $228,278.05 when he retires at age 65. This is 6.04 times the amount of money he deposited.
Step-by-step explanation:
In order to solve this problem, we can make use of the following formula:
![FV=PMT[\frac{(1+i)^{n}-1}{i}]](https://tex.z-dn.net/?f=FV%3DPMT%5B%5Cfrac%7B%281%2Bi%29%5E%7Bn%7D-1%7D%7Bi%7D%5D)
Where:
FV= Future value of the ira
PMT= the amount of money you deposit each month
i= is the interest rate per period
n=number of periods
in this case we will assume the interest will be compounded each month.
So:
FV this is what we need to know.
PMT= $75 the amount he will deposit each month
t = 42 years,
this is 65-23=42
n=42 years * 12 months/year = 504 months
i=0.07/12
So we can now use the given formula:
![FV=75[\frac{(1+\frac{0.07}{12})^{504}-1}{\frac{0.07}{12}}]](https://tex.z-dn.net/?f=FV%3D75%5B%5Cfrac%7B%281%2B%5Cfrac%7B0.07%7D%7B12%7D%29%5E%7B504%7D-1%7D%7B%5Cfrac%7B0.07%7D%7B12%7D%7D%5D)
So we get:
FV=$228,278.05
which is the amount of money he will have after 42 years.
In total, he deposited:
$75*504months = $37,800
so he will have:
times the amount of money he deposited throughout this time.
Answer:
children attended= 114
adults attended= 57
students attended= 82
Step-by-step explanation:
children attended= c
adults attended= a
students attended= s
c+s+a = 253
5c + 7s + 12a = 1828
c=2a
2a + s + a =253
5*2a + 7s + 12a = 1828
3a + s = 253
22a + 7s = 1828
s = 253 - 3a
22a + 7(253 - 3a) = 1828
22a - 21a + 7*253 = 1828
a = 1828 - 7*253
a = 57
s = 253 - 3a = 253 - 3*57 = 82
s = 82
c=2a=2*57= 114
c=114
52 cards in a deck
4 suits
1/4 of 52 are hearts
1/4 of 52=13 cards
probability of getting 1 heart at first is 1/4
one card is taken out and assuming that it is the heart, 13-1=12,52-1=51
12/51
multiply
1/4 times 12/51=3/51=1/17
