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3 years ago

Question evaluate 3/6 -1/6

Mathematics

1 answer:

DanielleElmas [232]3 years ago

5 0

3/6-1/6=2/6=1/3=0.333....

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Which of the following is the explicit rule for a geometric sequence defined by a recursive formula of for which the first term

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Write an equation in point slope and slope intercept form of a line that passes through the given point and has the given slope

Evgesh-ka [11]

Answer:

Point-Slope: $y+4=-\frac{1}{2}(x+3)$

Slope-Intercept: $y=-\frac{1}{2}x-\frac{11}{2}$

Step-by-step explanation:

The point-slope formula is $y-y_{1}=m(x-x_{1} )$ . The slope-intercept formula is $y=mx+b$ . Since we are given the point and slope, we can directly plug it into the point-slope formula.

Point-Slope

$y-(-4)=-\frac{1}{2}(x- (-3))$

$y+4=-\frac{1}{2} (x+3)$

To find the slope-intercept form, we can manipulate the point-slope form to get the slope-intercept form.

Slope-Intercept

$y+4=-\frac{1}{2}x-\frac{3}{2}$

$y=-\frac{1}{2}x-\frac{11}{2}$

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4 years ago

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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

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

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3 years ago