![(2x+4)(2x^2-3x+2)](https://tex.z-dn.net/?f=%282x%2B4%29%282x%5E2-3x%2B2%29)
We must add the result of the multiplication of each term of the first parenthesis with the second parenthesis
![\begin{gathered} (2x\times2x^2)+(2x\times-3x)+(2x\times2)+(4\times2x^2)+(4\times-3x)+(4\times2) \\ 4x^3-6x^2+4x+8x^2-12x+8 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%282x%5Ctimes2x%5E2%29%2B%282x%5Ctimes-3x%29%2B%282x%5Ctimes2%29%2B%284%5Ctimes2x%5E2%29%2B%284%5Ctimes-3x%29%2B%284%5Ctimes2%29%20%5C%5C%204x%5E3-6x%5E2%2B4x%2B8x%5E2-12x%2B8%20%5Cend%7Bgathered%7D)
then simplify adding what you can
Answer: 232
Step-by-step explanation:
2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.
Step-by-step explanation:
The given is,
Initial investment - $5000
Future amount - $6000
Interest rate - 7.5% (compounded quarterly)
Step:1
Formula to calculate the Future amount with compound interest,
...................................(1)
Where, F - Future amount
P - Initial amount
r - Rate of interest
n - No. of compounding in a year
t - Time period
From given,
F = $6000
P = $5000
r = 7.5%
n = 4 (compounded quarterly)
Equation (1) becomes,
![6000=5000(1+\frac{0.075}{4} )^{(t)(4)}](https://tex.z-dn.net/?f=6000%3D5000%281%2B%5Cfrac%7B0.075%7D%7B4%7D%20%29%5E%7B%28t%29%284%29%7D)
![\frac{6000}{5000} =(1+0.01875)^{4t}](https://tex.z-dn.net/?f=%5Cfrac%7B6000%7D%7B5000%7D%20%3D%281%2B0.01875%29%5E%7B4t%7D)
![1.2 = (1.01875)^{4t}](https://tex.z-dn.net/?f=1.2%20%3D%20%281.01875%29%5E%7B4t%7D)
Take log on both sides,
![log 1.2 = 4(t) log 1.01875](https://tex.z-dn.net/?f=log%201.2%20%3D%204%28t%29%20log%201.01875)
Substitute log values,
0.07918 = 4(t) (0.0080676)
= (t) (0.0322705)
= 2.45
t ≅ 2.5 years
Result:
2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.
Answer: -8
Step-by-step explanation:
Your below so the integer will be negative.
Ok so the slope of the 2 lines must multiply to -1
first find the given slope of the line
y=mx+b
m=slope
y=4x+1
4=slope
4 times what=-1
-1/4
y=-1/4x+b is form (A)
or
8y=-2x+4b (D)
or
1/4x+y=b
or
x+4y=4b (C)
we see that option B is wrong
amswer is B