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2 years ago

How do I solve this equation?

Mathematics

1 answer:

frosja888 [35]2 years ago

4 0

Answer:

x=-3/11

Step-by-step explanation:

(x+3)/5 +2x=0

Multiply both sides by 5 to get rid of the fraction

5*( x+3)/5 +5*2x=0*5

x+3 + 10x =0

Combine like terms

11x +3 = 0

Subtract 3 from both sides

11x+3-3 =0-3

11x = -3

Divide by 11

11x/11 = -3/11

x = -3/11

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2 years ago

A sum of money is invested at 12% compounded quarterly. About how long will it take for the amount of money to double?

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I'll use my own formula (similar to yours tho)

$A=P(1+ \frac{r}{n})^{nt}$
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p=invested
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when will A=2P
subsitute 2P for A
also quarterly means 4 times a year or n=4
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$2P=P(1+ \frac{0.12}{4})^{(4*t)}$
divide both sides by P
$2=(1+ \frac{0.12}{4})^{(4*t)}$
simplify
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$2=(1.03)^{4t}$
take the ln of both sides
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$ln(2)=4tln(1.03)$
$ln(2)=t(4ln(1.03))$
divide both sides by 4ln(1.03)
$\frac{ln(2)}{4ln(1.03)}=t$
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