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Verdich [7]
2 years ago
5

Juanita opens a savings account with $200. Each month, she deposits $25 into her account and does not withdraw any money from it

. Write an equation in slope-intercept form of the total amount y in Juanita’s account after x months
Mathematics
1 answer:
Oliga [24]2 years ago
4 0

Answer:

225 hahahahahahahhahahahhaha

Hahhahahahaha

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Anjali paid $8 for a salad. She now has<br> $37. With how much money did she start?
sleet_krkn [62]

Answer:

Below.

Step-by-step explanation:

37+8= 45

45-8=37

so 45.

8 0
2 years ago
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A torus is formed by rotating a circle of radius r about a line in the plane of the circle that is a distance R (&gt; r) from th
jeyben [28]

Consider a circle with radius r centered at some point (R+r,0) on the x-axis. This circle has equation

(x-(R+r))^2+y^2=r^2

Revolve the region bounded by this circle across the y-axis to get a torus. Using the shell method, the volume of the resulting torus is

\displaystyle2\pi\int_R^{R+2r}2xy\,\mathrm dx

where 2y=\sqrt{r^2-(x-(R+r))^2}-(-\sqrt{r^2-(x-(R+r))^2})=2\sqrt{r^2-(x-(R+r))^2}.

So the volume is

\displaystyle4\pi\int_R^{R+2r}x\sqrt{r^2-(x-(R+r))^2}\,\mathrm dx

Substitute

x-(R+r)=r\sin t\implies\mathrm dx=r\cos t\,\mathrm dt

and the integral becomes

\displaystyle4\pi r^2\int_{-\pi/2}^{\pi/2}(R+r+r\sin t)\cos^2t\,\mathrm dt

Notice that \sin t\cos^2t is an odd function, so the integral over \left[-\frac\pi2,\frac\pi2\right] is 0. This leaves us with

\displaystyle4\pi r^2(R+r)\int_{-\pi/2}^{\pi/2}\cos^2t\,\mathrm dt

Write

\cos^2t=\dfrac{1+\cos(2t)}2

so the volume is

\displaystyle2\pi r^2(R+r)\int_{-\pi/2}^{\pi/2}(1+\cos(2t))\,\mathrm dt=\boxed{2\pi^2r^2(R+r)}

6 0
2 years ago
Estimate the answer to 65.78 + 13.43 by first rounding each number to the nearest tenth.
gizmo_the_mogwai [7]
65.8 + 13.4 =  79 .2. So the answer is c 
6 0
3 years ago
Y is inversely proportional to x
irinina [24]
A ) equation would be X = Z / Y
B ) if X = 9 ------------> Y = 1/7
X = 21 ----------> Y = ?
21*1/7 = 21/7 , 21/7÷9 = 21*9/7 = 27

so Y equal 27
8 0
3 years ago
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What is the correct way to write 10^3 in factored form?
faltersainse [42]
10 x 10 x 10, I believe this is the form you mean.
8 0
3 years ago
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