Using a graph tool
see the attached figure
<span>let's graph all the cases to verify the answer
case A) f(x)=(3</span><span>^x)-2
case B) </span>f(x)=(4^x)-2
case C) f(x)=4^(x-2)
case D) f(x)=4^(x-2) +2------> this is the solution
the answer is the option D
If temperature (T) and amount of gas (n) remain constant, but pressure (P) and volume (V) change, then the ideal gas law: PV = nRT becomes
P1V1 = P2V2 --> (41)(16) = P2 (4)
--> P2 (4) = 656
P2 = 656/4 = 164 kPa
Answer:
B
Step-by-step explanation:
The amortization period in months is:
30 years * 12 = 360 months
The monthly interest rate would be 5.25%/12 = 0.004375
The payment for monthly mortgage formula would be:
Where
E is the monthly mortgage payment
C is the cost of mortgage, cost is $150,000
r is the monthly rate of interest, which is 0.004375
n is the period, in months, which is 360
Substituting, we get our answer:
So, the correct answer is B
we know that
the volume of a solid oblique pyramid is equal to
where
B is the area of the base
h is the height of the pyramid
in this problem we have that
B is a square
where
<u>
</u>
so
substitute in the formula of volume
![V=\frac{1}{3}*x^{2}*(x+2)\\ \\V=\frac{1}{3}*[x^{3} +2x^{2}]\ cm^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%2Ax%5E%7B2%7D%2A%28x%2B2%29%5C%5C%20%5C%5CV%3D%5Cfrac%7B1%7D%7B3%7D%2A%5Bx%5E%7B3%7D%20%2B2x%5E%7B2%7D%5D%5C%20cm%5E%7B3%7D)
therefore
<u>the answer is</u>
![V=\frac{1}{3}*[x^{3} +2x^{2}]\ cm^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%2A%5Bx%5E%7B3%7D%20%2B2x%5E%7B2%7D%5D%5C%20cm%5E%7B3%7D)
It should be 35.5 now I gotta reach 20 characters
