3.0 NOT SURE IF ITS CORRECT
<span>A quarter is equivalent to 25 cents or $0.25 and a nickel is equal to 5 cents or $0.05. In the given in this item, if there are x nickels then, there are x + 7 quarters. With these and the total amount known, we can now compute for the value of x.
(x)(0.05) + (x + 7)(0.25) = 2.65
Simplifying,
0.05x + 0.25x + 1.75 = 2.65
Simplifying further,
0.3x = 0.9
The value of x from the equation is 3. Hence, there are 10 quarters.</span>
Given:
Principal = 17,000
rate = 10.7%
term = x/360
interest = 1,121.72
Interest = Principal * rate * term
1,121.72 = 17,000 * .107 * x/360
1,121.72 = 1,819x / 360
1,121.72 * 360 = 1,819x
403,632 / 1,819 = x
221.90 = x
Lauren Michelle will have to wait 222 days for her investment to earn $1,121.72
Given:
Principal = x
rate = 9%
term = 10 months
interest = 1,687.50
Interest = Principal * rate * term
1,687.50 = x * 0.09 * 10/12
1,687.50 = x * 0.075
1,687.50 / 0.075 = x
22,500 = x
The amount Sandra Leatherwood invested was $22,500.
To write this equation, you need use the formula y=mx+b.
m represents the slope and b represents the y intercept.
The y intercept is the point where the line touches the y axis. In this case, the y-intercept is 1.
The slope is just rise over run from one coordinate to another. The slope is 2/-1 which could be simplified as -2. The slope just means that we are going up 2 and left 1 to get to a new coordinate.
The equation is y=-2x+1
Have a good day! :)
Hello!
As you can see, we have a radius of 6. If we divide, this means that this is 2.5 radians. To convert radians to degrees we use the formula below.
![\frac{180}{ \pi }x](https://tex.z-dn.net/?f=%20%5Cfrac%7B180%7D%7B%20%5Cpi%20%7Dx)
First of all we divide 180 by pi.
180/
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
≈57.3
Now we multiply by 2.5
57.3(2.5)=143.25°
Note that the angle we see is obtuse, or greater than 90°.
Therefore, ∠<span>θ</span>≈143.25°
Now we need to convert this back into radians. This can be represented by the equation below.
![\frac{ \pi }{180}x](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Cpi%20%7D%7B180%7Dx%20)
First we divide pi by 180 then multiply by our angle.
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
/180(143.25)≈2.5
Therefore, our angle theta is about
2.5 radians.
I hope this helps!