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2 years ago

14

Your housing and fixed expenses are $702.38 per month do you want to have a four month emergency fund and save it over a nine mo

nth period of time how much do you need to save per month?

1 answer:

MrMuchimi2 years ago

8 0

Answer:

For Review: Planning Ahead and Contracts Quick Check... these are the answers...

1) B. Yes, you want to begin saving at least 25 years before you plan to retire

2) D. all of the above

3) $2,341.27 per month realized income

4) Your housing and fixed expenses are $702.38 per month do you want to have a four month emergency fund and save it over a nine month period of time how much do you need to save per month?

Answer #4) $312.17 /month

Step-by-step explanation:

702.38 * 4 = 2,809.52 How much you will need to save for 4 months worth or expenses.

Now divide by 9 because that is how many months you will take to save up...

2,809.52 / 9 = 312.17

Answer) $312.17 per month, for 9 months to save 4 months worth or expenses.

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The equation for line r can be written as y=-1/4x+3. Line s which is parallel to lone r includes the point (-4,3). What is the e

MaRussiya [10]

Answer:

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

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)
Parallel lines always have the same slope

<u>1) Determine the slope of line S using line R (m)</u>

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

We can identify clearly that the slope of the line is $-\frac{1}{4}$ , as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be $-\frac{1}{4}$ . Plug this into $y=mx+b$ :

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

<u>2) Determine the y-intercept of line S (b)</u>

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

Plug in the given point (-4,3) and solve for b

$3=-\frac{1}{4}(-4)+b\\3=1+b$

Subtract 1 from both sides to isolate b

$3-1=1+b-1\\2=b$

Therefore, the y-intercept is 2. Plug this back into $y=-\frac{1}{4}x+b$ :

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

I hope this helps!

6 0

2 years ago

If the endpoints of the diameter of a circle are (9, 4) and (5, 2), what is the standard form equation of the circle?

sattari [20]

The standard forrm equation of the circle is (x-h)² + (y-k)² = r²
where h,k : x,y-coordinate of the center
r : radius of the circle
Get the center of the circle : h = (x1 + x2)/2 = (9+5)/2 = 7
k = (y1 + y2)/2 = (4+2)/2 = 3
=> the center is (7,3)
Because the given information gave 2 endpoints so we can choose one of these, then use the distance formula to get the radius
r = √(x1 - h)² + (y1 - k)²
r = √(9 - 7)² + (4 - 3)²
r = √2² + 1²
r = √5
Finally, the equation of the circle is (x - 7)² + (y - 3)² = (√5)²
(x - 7)² + (y - 3)² = 5

4 0

3 years ago

I need help answering these two questions . This is missing sides and Angles of Right Triangles

iren [92.7K]

1) Tanθ= opposite/adjacent
θ=Tan-1(9/7)
θ=52.125 = 52 degrees

2) Cosθ= adjacent/hypothesis
θ=Cos-1(5/12)
θ=65.376 = 65 degrees

8 0

2 years ago

Solve the initial value problem y'=2 cos 2x/(3+2y),y(0)=−1 and determine where the solution attains its maximum value.

zloy xaker [14]

Answer:

$y=\frac{-3\pm\sqrt{4sin2x+1}}{2}$

$x={\pi}{4}$

Step-by-step explanation:

We are given that

$y'=\frac{2cos2x}{3+2y}$

y(0)=-1

$\frac{dy}{dx}=\frac{2cos2x}{3+2y}$

$(3+2y)dy=2cos2x dx$

Taking integration on both sides then we get

$\int (3+2y)dy=2\int cos 2xdx$

$3y+y^2=sin2x+C$

Using formula

$\int x^n=\frac{x^{n+1}}{n+1}+C$

$\int cosx dx=sinx$

Substitute x=0 and y=-1

$-3+1=sin0+C$

$-2=C$

$sin0=0$

Substitute the value of C

$y^2+3y=sin2x-2$

$y^2+3y-sin 2x+2=0$

$y=\frac{-3\pm\sqrt{(3)^2-4(1)(-sin2x+2)}}{2}$

By using quadratic formula

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$y=\frac{-3\pm\sqrt{9+4sin2x-8}}{2}=\frac{-3\pm\sqrt{4sin2x+1}}{2}$

Hence, the solution $y=\frac{-3\pm\sqrt{4sin2x+1}}{2}$

When the solution is maximum then y'=0

$\frac{2cos2x}{3+2y}=0$

$2cos2x=0$

$cos2x=0$

$cos2x=cos\frac{\pi}{2}$

$cos\frac{\pi}{2}=0$

$2x=\frac{\pi}{2}$

$x=\frac{\pi}{4}$

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3 years ago

Matt pours 3 2/3 cups of orange juice into a measuring cup from a large container.Then he pours 1 1/4 cups back into the contain

dexar [7]

3/2/3 - 1/1/4
= 3/8/12 - 1/3/12
= 2/5/12

i am a mathematics teacher. if anything to ask please pm me

7 0

2 years ago