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Kryger [21]
3 years ago
5

I need help with solving this problem please!!!

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
7 0
3 is 23 degree
8 is 157 degree
shutvik [7]3 years ago
3 0

Answer:

Angle 3 = 23 degrees  Angle 8 = 157 degrees

Step-by-step explanation:

Since Angle 2 and Angle 3 are vertical angles, they have the same value.

As you see for Angle 8, Angle 8 is vertical angles with Angle 5.

Angle 5 corresponds with Angle 1 which is the same value since these lines are parallel.

Angle 1 and Angle 2 added together will have a sum of 180.

So substitute Angle 5 for Angle 1.

Angle 5 + 23 =180

Angle 5 = 157 degrees

And we know Angle 5  = Angle 8

So Angle 8 = 157 degrees.

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Im pretty sure this is the answer


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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

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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

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∵ 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%

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∴ t = 30 years

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∵ The annuity  could provide each month

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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

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3 years ago
Solve for the value of f: ½(6 + 4) + 5f = 10
ss7ja [257]

Answer:

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Sherman bought a candy bar for $1.02.He paid with a $20 bill.which of the following could be the change he received?
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Step-by-step explanation:

20.00 - 1.02

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Therefore, $18.98 is the change he should legally receive.

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