The answer is 3. -2i square root of 2
Answer:
True
Step-by-step explanation:
Answer:
Step-by-step explanation:
2.66a-6b
If it is a ratio of 3:5 you are dividing 480 into 8 parts (3+5).
So divide 480 by 8: 480/8 = 60
Then the ratio is (3x60):(5x60) or 180:300
To check it is correct, add up the two parts to see that they come to 480:
180+300 = 480. All good.
Hope this helps
In order to solve this problem, you need to use a geometric series:
![S_{n} = \frac{ a_{1}(1 - r^{n}) }{1 - r}](https://tex.z-dn.net/?f=%20S_%7Bn%7D%20%3D%20%20%5Cfrac%7B%20a_%7B1%7D%281%20-%20r%5E%7Bn%7D%29%20%7D%7B1%20-%20r%7D%20%20%20)
where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5
Therefore,
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![S_{n} = \frac{ 36000(1 - 1.10^{5}) }{1 - 1.10}](https://tex.z-dn.net/?f=%20S_%7Bn%7D%20%3D%20%20%5Cfrac%7B%2036000%281%20-%201.10%5E%7B5%7D%29%20%7D%7B1%20-%201.10%7D%20%20%20)
= 219783.60 $
Luke's total earnings in five years are
<span>
219783.60 $.</span>
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