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2 years ago

You invest $500 in an account that has a annual interest rate of 5%, compounded quarterly for four

Mathematics

1 answer:

Fudgin [204]2 years ago

8 0

Answer:

Step-by-step explanation:

If it is compounded quarterly, that's 4 times a year.

If you do this for 4 years that's 4×4.

That would be 16.

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Find the slope of the line that passes through the points (0,-11) and (8,-8).

Korolek [52]

To find the slope of a line, we can use the following formula:

$\displaystyle \large{m = \frac{y_2 - y_1}{x_2 - x_1} }$

m-term stands for slope or gradient. The formula is useful whenever you want to find a slope of two points.

Let these be the following:

$\displaystyle \large{(x_1,y_1) = (0, - 11)} \\ \displaystyle \large{(x_2,y_2) = (8, - 8)}$

Substitute the points in formula:

$\displaystyle \large{m = \frac{ - 8 -( - 11)}{ 8 - 0} }$

Negative multiply negative always come out as positive.

$\displaystyle \large{m = \frac{ - 8 + 11}{ 8 - 0} } \\ \displaystyle \large{m = \frac{ 3}{ 8 } } \\$

Since m stands for slope, we can say that:

$\displaystyle \large \boxed{ \tt{slope = \frac{3}{8} }}$

5 0

2 years ago

Read 2 more answers

Solve both questions please ❤️❤️

harina [27]

Answer:

1. y=7.2

2. x=18

Step-by-step explanation:

1. Triangles CMN and CBA are similar triangles (by AAA postulate). Similar triangles have proportional corresponding sides, so

$\dfrac{CM}{CB}=\dfrac{CN}{CA}\\ \\\dfrac{12}{12+y}=\dfrac{10}{10+6}\\ \\12\cdot 16=10\cdot (12+y)\\ \\192=120+10y\\ \\10y=72\\ \\y=7.2$

2. GK is angle G bisector. Use angle bisector's property:

$\dfrac{GH}{GI}=\dfrac{KH}{KI}\\ \\\dfrac{40}{24}=\dfrac{30}{x}\\ \\40x=24\cdot 30\\ \\4x=24\cdot 3\\ \\x=6\cdot 3=18$

8 0

2 years ago

Please explain step by step

Lorico [155]

Answer:

Line PQ

Step-by-step explanation:

diameter: straight line that passes through the centre of the circle (point O), and runs from on side of the circle to the other end (from point P to point Q)

5 0

1 year ago

The equation of a parabola is (y−3)2=20(x+1) .

True [87]

ANSWER

$x = - 6$

EXPLANATION

The given parabola has equation:

${(y - 3)}^{2} = 20 {(x + 1)}^{2}$

This parabola opens in the direction of the positive x-axis.

This can be rewritten as:

${(y - 3)}^{2} = 4(5) {(x + 1)}^{2}$

The vertex is (-1,3)

The directrix of this parabola is

$x = - 1 - 5$

$x = - 6$

6 0

2 years ago

Read 2 more answers

To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before ad

Kryger [21]

Answer:

The first equation should be multiplied by 9 and the second equation by −4

Step-by-step explanation:

Given the simultaneous equation

First Equation: 5x − 4y = 28

Second equation: 3x - 9y = 30

In order to eliminate y, we must make the coefficient of x in both expression to be equal.

To do that the first equation should be multiplied by 9 (negative value of the coefficient of y in equation 2)and the second equation by -4( (coefficient of y in equation 1)

7 0

2 years ago