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Y_Kistochka [10]
2 years ago
14

A principal of $3200 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 13 years?

Mathematics
1 answer:
Sedaia [141]2 years ago
6 0

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3200\\ r=rate\to 7.75\%\to \frac{7.75}{100}\dotfill &0.0775\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &13 \end{cases} \\\\\\ A=3200\left(1+\frac{0.0775}{1}\right)^{1\cdot 13}\implies A=3200(1.0775)^{13}\implies A\approx 8444.51

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The price of an item has risen to $152 today. Yesterday it was $95. Find the percentage increase.
Oksanka [162]

Answer:

60% increase

Step-by-step explanation:

152 - 95 = -57

57 / 95 = 0.6

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5 0
2 years ago
If f(x) = 2x + 3 and g(x) = (x - 3)/2, what is the value of f[g(-5)]?
kap26 [50]
<span>If f(x) = 2x + 3 and g(x) = (x - 3)/2, what is the value of f[g(-5)]? f[g(-5)] means substitute -5 for x in the right side of g(x), simplify, then substitute what you get for x in the right side of f(x), then simplify. It's a "double substitution". To find f[g(-5)], work it from the inside out. In f[g(-5)], do only the inside part first. In this case the inside part if the red part g(-5) g(-5) means to substitute -5 for x in g(x) = (x - 3)/2 So we take out the x's and we have g( ) = ( - 3)/2 Now we put -5's where we took out the x's, and we now have g(-5) = (-5 - 3)/2 Then we simplify: g(-5) = (-8)/2 g(-5) = -4 Now we have the g(-5)] f[g(-5)] means to substitute g(-5) for x in f[x] = 2x + 3 So we take out the x's and we have f[ ] = 2[ ] + 3 Now we put g(-5)'s where we took out the x's, and we now have f[g(-5)] = 2[g(-5)] + 3 But we have now found that g(-5) = -4, we can put that in place of the g(-5)'s and we get f[g(-5)] = f[-4] But then f(-4) means to substitute -4 for x in f(x) = 2x + 3 so f(-4) = 2(-4) + 3 then we simplify f(-4) = -8 + 3 f(-4) = -5 So f[g(-5)] = f(-4) = -5</span>
3 0
3 years ago
During a bite challenge rattlers how to collect various colored ribbons each 1/2 mile they collect a red ribbon each 1/8 mile th
tino4ka555 [31]
1/2×4=4/8
1/8=1/8
1/4×2=2/8
so 4/8+2/8=6/8
and 6/8+1/8=7/8

so 7/8 ribbons will be collected
7 0
3 years ago
Read 2 more answers
What is y equal to when x= -2<br><br> Y=-x+4
Alex17521 [72]

Y= -2+4

If X equals -2, you want to plug -2 in for X.

I hope I helped!

:)

5 0
3 years ago
Please help meplease help
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Options in 3rd and 4th questions are wrong!. Hope it helps :)

5 0
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