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castortr0y [4]
3 years ago
13

How do you solve question 26?

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
5 0

Answer:

Insert the point (-2, 3)

2·a·(-2) - b·3 - 5 = 0 --> - 4·a - 3·b - 5 = 0 --> 8·a + 6·b + 10 = 0

b·(-2) + 3·a·3 - 15 = 0 --> 9·a - 2·b - 15 = 0 --> 27·a - 6·b - 45 = 0

I + II

35·a - 35 = 0 --> a = 1

8·1 + 6·b + 10 = 0 --> b = -3


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A sum of money is invested at 12% compounded quarterly. About how long will it take for the amount of money to double?
iVinArrow [24]
I'll use my own formula (similar to yours tho)

A=P(1+ \frac{r}{n})^{nt}
A=future amount
p=invested
r=rate in decimal
n=number of times per year compounded
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so
when will A=2P
subsitute 2P for A
also quarterly means 4 times a year or n=4
and 12%=0.12=r
so

2P=P(1+ \frac{0.12}{4})^{(4*t)}
divide both sides by P
2=(1+ \frac{0.12}{4})^{(4*t)}
simplify
2=(1+ 0.03)^{4t}
2=(1.03)^{4t}
take the ln of both sides
ln(2)=ln(1.03)^{4t}
ln(2)=4tln(1.03)
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\frac{ln(2)}{4ln(1.03)}=t
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