Answer:
$200
Step-by-step explanation:
The annual tax bill is ...
2.4% × $100,000 = $2,400
On a monthly basis, that is ...
$2400/(12 mo) = $200/mo
Taxes will add $200 per month to Bonnie's mortgage payment.
It’s not step by step on how to figure it out but 0.84 is equivalent to 21/25
Answer:
-4
Step-by-step explanation:
- y = 3(x+5)²-4
- y= 3(x²+10x+25)-4
- y= 3x²+30x+75-4
- y= 3x²+30x+71
Derivate the function
solve the equation y'= 0
- y'= 6x+30
- 6x+30= 0
- 6x= -30
- x = -5
The extrme value of y is reached in -5
y = 3(-5+5)²-4= -4
Answer:
Step-by-step explanation:
How do u find the scale factor of a dilation?
To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor, as Math Bits Notebook accurately states
Step-by-step explanation:
<h2>A).</h2>
<h3>
![\frac{2}{ \sqrt{x} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B%20%5Csqrt%7Bx%7D%20%7D%20)
</h3>
Using the rules of indices
<h3>
![\sqrt{x} = {x}^{ \frac{1}{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%7D%20%20%3D%20%20%7Bx%7D%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20)
</h3>
So we have
<h3>
![\frac{2}{ {x}^{ \frac{1}{2} } }](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B%20%7Bx%7D%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20%7D%20)
</h3>
And also by the rules of indices
<h3>
![\frac{1}{ {a}^{b} } = {a}^{ - b}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B%20%7Ba%7D%5E%7Bb%7D%20%7D%20%20%3D%20%20%7Ba%7D%5E%7B%20-%20b%7D%20)
</h3>
Applying the rules to the above expression we have the final answer as
<h2>
![2 {x}^{ - \frac{1}{2} }](https://tex.z-dn.net/?f=2%20%7Bx%7D%5E%7B%20-%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20)
</h2>
<h2>B).</h2>
<h3>
![\frac{3}{ {x}^{2} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B%20%7Bx%7D%5E%7B2%7D%20%7D%20)
</h3>
By using the rules of indices
<h3>
![\frac{1}{ {a}^{b} } = {a}^{ - b}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B%20%7Ba%7D%5E%7Bb%7D%20%7D%20%20%3D%20%20%7Ba%7D%5E%7B%20-%20b%7D%20)
</h3>
Applying the rules to the above expression
We have the final answer as
<h2>
![3 {x}^{ - 2}](https://tex.z-dn.net/?f=3%20%7Bx%7D%5E%7B%20-%202%7D%20)
</h2>
Hope this helps you