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Nadusha1986 [10]
3 years ago
6

When 9 is subtracted from a number then divided by 2, the answer is 4. What is the number?

Mathematics
2 answers:
posledela3 years ago
6 0
x-\ number\\\\
\frac{x-9}{2}=4\ \ \ |Multiply\ by\ 2\\\\
x-9=8\ \ \ |Add\ 9\\\\
x=17\\\\Number\ is\ 17.
Fantom [35]3 years ago
5 0
(x-9):2=4 \\\\ x-9=4*2 \\\\ x-9=8 \\\\ x=8+9 \\\\ \boxed{x=17}
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3 years ago
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Natali5045456 [20]

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3 0
3 years ago
Suppose you invest $50 a month in an annuity that earns 4% APR compounded monthly. How much money will you have in this account
skelet666 [1.2K]
To solve this we are going to use formula for the future value of an ordinary annuity: FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} } ]
where
FV is the future value
P is the periodic payment
r is the interest rate in decimal form
n is the number of times the interest is compounded per year
t is the number of years

We know from our problem that the periodic payment is $50 and the number of years is 3, so P=50 and t=3. To convert the interest rate to decimal form, we are going to divide the rate by 100%
r= \frac{4}{100}
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Since the interest is compounded monthly, it is compounded 12 times per year; therefore, n=12.
Lets replace the values in our formula:
FV=P[ \frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} } ]
FV=50[ \frac{(1+ \frac{0.04}{12} )^{(12)(3)} -1}{ \frac{0.04}{12} } ]
FV=1909.08

We can conclude that after 3 years you will have $1909.08 in your account.
4 0
3 years ago
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