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irinina [24]
2 years ago
14

Problem 1: Tyler reads 2/3 of a book on Monday, 1/3 of it on Tuesday, 2/9 of it on Wednesday, and 3/4 of the remainder on Thursd

ay. If he still has 14 pages left to read on Friday, how many pages are there in the book?
Mathematics
1 answer:
Margarita [4]2 years ago
7 0

Answer:

180 pages

Step-by-step explanation:

Let

x = total number of pages

Monday + Tuesday + Wednesday

2/15x + 1/3x + 2/9x

= (6x+15x+10x)/45

= 31/45x

Thursday

x - 31/45x

= (45x-31x)/45

= 14/45x

3/4 of 14/45x

= 3/4 * 14/45x

= 42/180x

Total pages read = 31/45x + 42/180x

= (124x+42x)/180

= 166/180x

If he still has 14 pages left to read on Friday

Total read from Monday to Thursday + Friday

x = 166/180x + 14

x - 166/180x = 14

(180x-166x)/180 = 14

14/180x = 14

x = 14 ÷ 14/180

x = 14 × 180/14

x = 180 pages

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Principal: $1500.<br> Annual interest rate: 72%.<br> What is the interest after<br> 6 months?
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To solve this problem, you us the equation A=P(1+rt)

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Next you need to plug it into your formula which should look like this...
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The reason that I plugged in 0.5 for the time instead of 6 months is because the time in this formula is calculated in years. For example, if the question told you the time was 12 months, 12 months is one year, so you would plug in a 1 for t. Since your question asked for 6 months, 6 months is equal to half a year or 0.5 of a year. That is why t is 0.5 in the formula.

Now that you have your problem, the next step is to solve. I will show you what that looks like down below.

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To find this, all you have to do is subtract the amount earned after 6 months ($1554) by the principal amount ($1500) using this formula (the I stands for Interest).

A-P=I
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The interest earned after 6 months is $54.
(If the annual interest rate is 72% and not 7.2%, you can still use the formulas and my lesson to solve it yourself)
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see the attachment hope this helps you

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