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Papessa [141]
3 years ago
6

imagine that you have a paycheck of $50 this week. if i tell you that i will increase your paycheck by 20% one from week from no

w and then 20% again two weeks from now what will be your new paychecks two weeks from now?
Mathematics
1 answer:
MrRissso [65]3 years ago
6 0

One week from now, the amount will be ...

... $50 + 0.20×$50 = $50 + 10 = $60

Two weeks from now, the amount will be ...

... $60 + 0.20×$60 = $60 + 12 = $72

_____

The first expression can be factored to be $50 × (1 + 0.20) = $50×1.2.

The second expression can be factored the same way to be $60×1.2, or ...

... ($50×1.2)×1.2 = $50×1.2²

... = $50×1.44 = $72

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Find the amount of each payment to be made into a sinking fund which earns 9​% compounded quarterly and produces ​$43 comma 000
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Answer:

$2647.18

Step-by-step explanation:

Formula : A[\frac{1+(\frac{r}{n})^{n}-1 }{(\frac{r}{n} )}]

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t = 3.5 years (compounded quarterly)

n = number of compounding (3.5 × 4) = 14

Now put the values into formula :

43000 = A[\frac{1+(\frac{0.09}{4})^{14}-1 }{(\frac{0.09}{4} )}]

43000=A(\frac{(1+0.0225)^{14}-1}{\frac{0.09}{4}})

43000=A(\frac{(1.0225)^{14}-1}{0.0225})

43000=A(\frac{0.365483427}{0.0225})

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A = \frac{43000}{16.243708}

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