Step-by-step explanation:
here u go.
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Answer: 5 times
Step-by-step explanation:
Let the number of times that he saved $75 be x.
Let the number of times that he saved $150 be y.
Therefore, based on the information given in the question, we can form an equation which will be:
x + y = 8 ...... i
75x + 150y = 825 ....... ii
From equation I,
x + y = 8
y = 8 - x....... iiii
Put equation iii into ii and this will be:
75x + 150y = 825
75x + 150(8 - x) = 825
75x + 1200 - 150x = 825
75x - 150x = 825 - 1200
-75x = -375
x = 375/75
x = 5
He saved $75 5times from his paycheck.
For compound interest, the formula is given below:
Amount = ![P(1+\frac{r}{100} )^{n}](https://tex.z-dn.net/?f=P%281%2B%5Cfrac%7Br%7D%7B100%7D%20%29%5E%7Bn%7D)
Here, P = 18,800
n = 2
r = 13/100
So, Amount = ![18,800(1+\frac{13}{100} )^{2}](https://tex.z-dn.net/?f=18%2C800%281%2B%5Cfrac%7B13%7D%7B100%7D%20%29%5E%7B2%7D)
![18,800(1.13)^{2}](https://tex.z-dn.net/?f=18%2C800%281.13%29%5E%7B2%7D)
= 18,800 × 1.2769
= 24005.72
Compound Interest = Amount - Principal
Compound Interest = 24005.72 - 18800
= 5205.72
Hence, the compound interest for Rs.18,800, calculated for 2 years at 13% rate of interest compounded annually is Rs.5205.72.