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4 years ago

What is the equation in point slope form for the line that is parallel to y=-8x-12 that contains the point (-3,3)

Mathematics

1 answer:

belka [17]4 years ago

3 0

Answer:

The equation of a parallel line in point-slope form would be y - 3 = -8(x + 3)

Step-by-step explanation:

To find this, we must first note that the original slope is -8. Parallel lines have the same slope, so we know that the new line will also have the slope of -8.

Given this information, we can use the point and slope and put them into the base form of point-slope form.

y - y1 = m(x - x1)

y - 3 = -8(x - -3)

y - 3 = -8(x + 3)

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Suppose the required reserve ratio is 20 percent. If banks are conservative and choose not to loan all their excess reserves, th

maria [59]

Answer:

Option B

Step-by-step explanation:

Given that the required reserve ratio is 20 percent.

Since banks are conservative they choose not to loan all their excess reserves

i.e. only 20% of deposits is kept as reserve and 80% lent.

This 80% will again be deposited in a bank and 80% of 80 i.e.64% would be lent. Thus this will form a geometric progression infinitely as

deposits $= 1+0.8 + 0.8^2 +0.8^3+...$ with common ratio 0.8<1

Hence infinite sum = $\frac{a}{1-r} =\frac{1}{1-0.8} \\=5$

So deposit multiplier is B) equal to 5

5 0

3 years ago

To finance a bridge costing $94,500, the state contributed twice as much as the county and the county contributed twice as much

bearhunter [10]

The city contributed $13,500; the county contributed $27,000; and the state contributed $54,000.

Let x be the amount the city contributes. Since the county contributes twice as much as the city, the county's amount is 2x. Since the state contributes twice as much as the county, the state's amount is 2(2x) = 4x.

They total 94,500:
x+2x+4x = 94500
7x = 94500

Divide both sides by 7:
x = 13500
2x = 27000
4x = 54000

5 0

3 years ago

A function is given. g(x) = 6 x ; x = 1, x = a. determine the net change between the given values of the variable.

Pavlova-9 [17]

The net change between the given values of the variable is 6a - 6

<h3>How to determine the net change between the given values of the variable?</h3>

The given parameters are

g(x) = 6x

Where

x = 1 and x =a

Calculate g(1) and g(a)

So, we have

g(1) = 6 * 1

g(1) = 6

g(a) = 6 * a

g(a) = 6a

The net change between the given values of the variable is

Change = g(a) - g(1)

So, we have

Change = 6a - 6

Hence, the net change between the given values of the variable is 6a - 6