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2 years ago

If 3(d+1)=4(d–2) then what is the value of 5(d–2)

Mathematics

1 answer:

Sonja [21]2 years ago

3 0

Answer:

5(d - 2) = 45

Step-by-step explanation:

Solve the given equation for d

3(d + 1) = 4(d - 2) ← distribute parenthesis on both sides

3d + 3 = 4d - 8 ( subtract 3d from both sides )

3 = d - 8 ( add 8 to both sides )

11 = d

Then

5(d - 2) = 5(11 - 2) = 5(9) = 45

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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)

$A=P(1+ \frac{r}{n})^{nt}$
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p=invested
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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
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simplify
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$2=(1.03)^{4t}$
take the ln of both sides
$ln(2)=ln(1.03)^{4t}$
$ln(2)=4tln(1.03)$
$ln(2)=t(4ln(1.03))$
divide both sides by 4ln(1.03)
$\frac{ln(2)}{4ln(1.03)}=t$
use calculator
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