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Ivan
3 years ago
5

Using Substitution solve: y=x+5 4x+y=20

Mathematics
1 answer:
Vladimir [108]3 years ago
4 0

Answer:

3

Step-by-step explanation:

So first, plugin y to your equation, it should look like this: 4x+x+5+20. Now, we can solve this. Next, we have two x's so we can combine them. The equation will now look like this: 5x+5=20. Now, we have an extra 5 laying around that we need to get rid of, so we can subtract that 5 to both sides of the equation and we get this: 5x-5=20-5 which ends up being 5x=15. Now, we just divide both ides by 5 and since 15 divided by 5 is 3, we get: x=3

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The sum of two numbers is 42 and the difference is 14 . What are the numbers?
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Answer:

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Step-by-step explanation:

28+14= 42

28-14=14

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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
t=time in years


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)
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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Step-by-step explanation:

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