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3 years ago

What is the equation of the line that passes through the point (-5,3)(−5,3) and has a slope of fraction -6/5

Mathematics

1 answer:

Allushta [10]3 years ago

5 0

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1) when : x_1 = -5 and y_1 =3 and m= -6/5

the equation : y - 3 = -6/5(x +5)

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George bought 30 packs of football cards.there were 14 cards in each pack. How many cards did George buy?

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3 years ago

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To offer scholarships to children of employees, a company invests $13,000 at the end of every three months in an annuity that pa

Andreyy89

Annuities

Suppose a fixed investment R is done every fixed number of periods m per year for t years at a constant rate r.

The final value of the investments plus the interest is calculated as follows:

$FV=R\cdot\frac{(1+i)^n-1}{i}$

Where:

n = number of total periods of the investment.

n = m*t

$i=\frac{r}{m}$

The company invests R = $13,000 for t = 10 years at the end of every quarter (3 months), thus m = 4. The interest rate is r = 9% = 0.09.

The interest rate compounds quarterly.

Calculate:

n = 4*10 = 40

i = 0.09 / 4 = 0.0225

$\begin{gathered} FV=\$13,000\cdot\frac{(1+0.00225)^{40}-1}{0.0225} \\ FV=\operatorname{\$}13,000\times\frac{(1.00225)^{40}-1}{0.0225} \\ FV=\operatorname{\$}13,000\times\frac{2.435188965-1}{0.0225} \\ FV=\operatorname{\$}13,000\cdot63.786176 \end{gathered}$

Calculating:

FV = $829,220

The company will have $829,220 in scholarship funds

b. The interest can be found by subtracting the final value and the initial value. We have to calculate the latter:

$\begin{gathered} A=FV(1+i)^{-n} \\ A=\$829,220(1.0225)^{-40} \\ A=\$340,516 \end{gathered}$

Thus, the interest is:

welcI = $829,220 - $340,516

I = $488,704

The interest is $488,704

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1 year ago

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Answer:

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Step-by-step explanation:

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3 years ago

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The square root of 24 is = 4.898979485566357

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4 years ago

Assumptions of a regression model can be evaluated by plotting and analyzing the ____________

Gala2k [10]

The assumptions of a regression model can be evaluated by plotting and analyzing the error terms.

Important assumptions in regression model analysis are

There should be a linear and additive relationship between dependent (response) variable and independent (predictor) variable(s).
There should be no correlation between the residual (error) terms. Absence of this phenomenon is known as auto correlation.
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The error terms must be normally distributed.

Hence we can conclude that the assumptions of a regression model can be evaluated by plotting and analyzing the error terms.

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2 years ago