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stiv31 [10]
2 years ago
5

Harry buys a wand for $12.50 plus 8% tax. Ron buys his sister a diary for $13 plus 8% tax. Write the sum, in dollars, that Harry

and Ron paid, including tax.​
Mathematics
1 answer:
Tanya [424]2 years ago
6 0

9514 1404 393

Answer:

  $27.54

Step-by-step explanation:

The straightforward way to do this is to compute the tax and total on each amount, then add those together. There is an easier way.

  ($12.50 + 0.08·12.50) + ($13.00 + 0.08·13.00) = $12.50·1.08 +13.00·1.08

  = 1.08($12.50 +13.00)

  = 1.08·$25.50

  = $27.54

Together, Ron and Harry paid a total of $27.54.

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A=P(1+ \frac{r}{n})^{nt}
A=future amount
P=present amount
r=rate in decimal form
n=number of times per year to be compounded
t=time in years

so
P=200
r=0.06
n=1
t=6

evaluate to find A
A=200(1+ \frac{0.06}{1})^{(1)(6)}
A=200P(1.06)^{6}
A=283.704
round
A=$283.70
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