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Stella [2.4K]
3 years ago
15

How long will it take to have R30 000 for a trip to Europe if I invest R20 000 now at 15% per year,

Mathematics
1 answer:
statuscvo [17]3 years ago
5 0
The formula is
A=p (1+r/k)^kt
A future value 30000
p present value 20000
R interest rate 0.15
K compounded quarterly 4
T time?
30000=20000 (1+0.15/4)^4t
Solve for t
Divide both sides by 20000
30000/20000=(1+0.15/4)^4t
Take the log of both sides
Log (30000/20000)=4t×log (1+0.15/4)
Divide both sides by log (1+0.15/4)
4t=Log (30000/20000)÷log (1+0.15/4)
Divide both sides by 4
T=(log(30,000÷20,000)÷log(1+0.15÷4))÷4
T=2.7 years round your answer to get 3 years

Hope it helps!
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Answers:

  • Blank 1:  4
  • Blank 2:  -1

So the solution is (x,y) = (4, -1)

=============================================================

Work Shown:

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6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11

6x - 21x + 77 = 17

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------------------------

To check the solution, we plug x = 4 and y = -1 into each equation

Plugging the values into the first equation leads to...

y = -3x+11

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This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.

We'll need to verify the second equation as well.

6x + 7y = 17

6(4) + 7(-1) = 17

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We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.

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Answer:

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Step-by-step explanation:

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These values are not equal, so there is no common difference.

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