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2 years ago

Write an equation in standard form that has a slope of - and a y-intercept of -2.

Mathematics

1 answer:

Setler79 [48]2 years ago

7 0

Answer:

y= 3x-2

Step-by-step explanation:

standard form

y= mx + c

c represents y intercept

m represents slope or gradient

y= 3x-2

The slope is 3 and the y intercept in -2

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Heather has divided $5400 between two investments, one paying 8%, the other paying 5%. if the return on her investment is $

Phantasy [73]

Answer:

$2500 at 8%.

$2900 st 5%.

Step-by-step explanation:

Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.

We have been given that Heather has divided $5400 between two investments. We can represent this information as:

$x+y=5400...(1)$

The return on her investment is $345.

Earnings from the investment at 8% will be 8% of x.

Earnings from the investment at 5% will be 5% of y.

$(\frac{8}{100})x+(\frac{5}{100})y=345...(2)$

$0.08x+0.05y=345...(2)$

We will use substitution method to solve our system of equations. From equation (1) we will get,

$x=5400-y$

Substituting this value in equation (2) we will get,

$0.08(5400-y)+0.05y=345$

$432-0.08y+0.05y=345$

$-0.08y+0.05y=345-432$

$-0.03y=-87$

$\frac{-0.03y}{-0.03}=\frac{-87}{-0.03}$

$y=2900$

Therefore, Heather has invested an amount of $2900 at 5%.

Let us substitute y=2900 in equation (1) to solve for x.

$x+2900=5400$

$x+2900-2900=5400-2900$

$x=2500$

Therefore, Heather has invested an amount of $2500 at 8%.

6 0

3 years ago

Find the length of AC to the nearest tenth of a meter. 6pts

joja [24]

Ac is 7 because it is a right angle

4 0

3 years ago

The cost,C, of grapes varies directly as the weight, w, of the grapes in pounds. Wendy pays $3.36 for 1.2 pounds of grapes. At t

Dafna1 [17]

I think she is gonna have to pay $14 because if you divide the number it costs by the number of pounds she bought, you get the price per pound. Not sure though.

5 0

2 years ago

Read 2 more answers

A cone with radius 5 units is shown below. Its volume is 105 cubic units. Find the height of the cone.

Ainat [17]

Answer:

height of the cone = 4.01273885 units

Step-by-step explanation:

Volume of a cone(V) is given by:

$V = \frac{1}{3} \pi r^2h$ ....[1]

where,

r is the radius and h is the height of the cone.

As per the statement:

A cone with radius 5 units and ts volume is 105 cubic units

⇒r = 5 units and V = 105 cubic units

Substitute these given values and use $\pi = 3.14$ in [1] we have;

$105 = \frac{1}{3} \cdot 3.14 \cdot 5^2 \cdot h$

Multiply both sides by 3 we have;

⇒ $315 = 78.5 \cdot h$

Divide both sides by 78.5 we have;

$4.01273885 = h$

h = 4.01273885 units

Therefore, the height of the cone is, 4.01273885 units

6 0

3 years ago

Read 2 more answers

she brought 7/8 as much in april as she did in october and july combined october has 3/4 and july has 1 and 1 fourth

Leno4ka [110]

What's the question?

4 0

2 years ago