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Ivan
3 years ago
14

Can three segments with length 4 cm, 6cm, and 11 cm be assembled to form an acute triangle, a right triangle, or an obtuse trian

gle? Explain.
Mathematics
1 answer:
adoni [48]3 years ago
6 0

Answer:

No

Step-by-step explanation:

According to the Inequality Theorem, the sum of 2 side of a triangle must always be longer than the third one. 4 + 6 = 10 which is not larger than 11.

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3 years ago
8. Loren already knows that he will have $500,000 when he retires. If he sets up a payout
Ulleksa [173]

The annuity could provide $221.19 each month

Step-by-step explanation:

The ANNUITY FORMULA is P_{t}=\frac{d[(1+\frac{r}{n})^{nt}-1]}{\frac{r}{n}} , where

1. P_{t} is the balance in the account after t years

2. d is the regular deposit (the amount you deposit each year or month

    or .........)

3. r is the annual interest rate in decimal

4. n is the number of compounding periods in one year

5. t the number of years

∵ Loren knows that he will have $500,000 when he retires

∴ P_{t} = $500,000

∵ he sets up a payout  annuity for 30 years in an account paying 10%

  interest

∴ t = 30 years

∴ r = (10/100) = 0.1

∵ The annuity  could provide each month

∴ n = 12

Substitute the values above in the formula

∴ 500,000=\frac{d[(1+\frac{0.1}{12})^{(12)(30)}-1]}{\frac{0.1}{12}}

∴ 500,000=\frac{d[(1.00833333)^{360}-1]}{0.00833333}

∴ 500,000 = d [2260.487925]

- Divide both sides by 2260.487925

∴ d = $221.19

The annuity could provide $221.19 each month

Learn more:

You can learn more about deposit in brainly.com/question/8782252

#LearnwithBrainly

8 0
3 years ago
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Answer:

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Question: A doctor prescribes 600 milligrams of a therapeutic drug that decays by about 13% each hour. Write an equation in base
UkoKoshka [18]

Answer: A = 600(0.87^{h})

Step-by-step explanation:

The rate = 13% = 0.13

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A = I (1 - R%)x^{h}

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3 years ago
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