Answer:
43
Step-by-step explanation:
Plug x in.
8(4)+11=32+11=43
Hope I helped!
Answer:
Consider the line 6x-7y = 7.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Step-by-step explanation:
Answer:
![\$30,460](https://tex.z-dn.net/?f=%5C%2430%2C460)
![\$30,497](https://tex.z-dn.net/?f=%5C%2430%2C497)
![\$30,522](https://tex.z-dn.net/?f=%5C%2430%2C522)
![\$30,535](https://tex.z-dn.net/?f=%5C%2430%2C535)
Step-by-step explanation:
We know that,
![A=P\left (1+\dfrac{r}{n}\right )^{n\cdot t}](https://tex.z-dn.net/?f=A%3DP%5Cleft%20%281%2B%5Cdfrac%7Br%7D%7Bn%7D%5Cright%20%29%5E%7Bn%5Ccdot%20t%7D)
where,
A = Amount after time t,
P = Principle amount,
r = Rate of interest,
n = Number of times interest is compounded per year,
t = time period in year.
Investment of $25,000 for 4 years at an interest rate of 5% if the money is compounded semiannually
Here,
P = $25,000
r = 5% = 0.05
n = 2 (as compounded semiannually)
t = 4 years
Putting the values,
![A=25000\left (1+\dfrac{0.05}{2}\right )^{2\times 4}](https://tex.z-dn.net/?f=A%3D25000%5Cleft%20%281%2B%5Cdfrac%7B0.05%7D%7B2%7D%5Cright%20%29%5E%7B2%5Ctimes%204%7D)
![=25000\left (1+0.025\right )^{8}](https://tex.z-dn.net/?f=%3D25000%5Cleft%20%281%2B0.025%5Cright%20%29%5E%7B8%7D)
![=25000\left (1.025\right )^{8}](https://tex.z-dn.net/?f=%3D25000%5Cleft%20%281.025%5Cright%20%29%5E%7B8%7D)
![=\$30,460](https://tex.z-dn.net/?f=%3D%5C%2430%2C460)
Investment of $25,000 for 4 years at an interest rate of 5% if the money is compounded quarterly.
Here,
P = $25,000
r = 5% = 0.05
n = 4 (as compounded quarterly)
t = 4 years
Putting the values,
![A=25000\left (1+\dfrac{0.05}{4}\right )^{4\times 4}](https://tex.z-dn.net/?f=A%3D25000%5Cleft%20%281%2B%5Cdfrac%7B0.05%7D%7B4%7D%5Cright%20%29%5E%7B4%5Ctimes%204%7D)
![=25000\left (1+0.0125\right )^{16}](https://tex.z-dn.net/?f=%3D25000%5Cleft%20%281%2B0.0125%5Cright%20%29%5E%7B16%7D)
![=25000\left (1.0125\right )^{8}](https://tex.z-dn.net/?f=%3D25000%5Cleft%20%281.0125%5Cright%20%29%5E%7B8%7D)
![=\$30,497](https://tex.z-dn.net/?f=%3D%5C%2430%2C497)
Investment of $25,000 for 4 years at an interest rate of 5% if the money is compounded monthly.
Here,
P = $25,000
r = 5% = 0.05
n = 12 (as compounded monthly)
t = 4 years
Putting the values,
![A=25000\left (1+\dfrac{0.05}{12}\right )^{12\times 4}](https://tex.z-dn.net/?f=A%3D25000%5Cleft%20%281%2B%5Cdfrac%7B0.05%7D%7B12%7D%5Cright%20%29%5E%7B12%5Ctimes%204%7D)
![A=25000\left (1+\dfrac{0.05}{12}\right )^{48}](https://tex.z-dn.net/?f=A%3D25000%5Cleft%20%281%2B%5Cdfrac%7B0.05%7D%7B12%7D%5Cright%20%29%5E%7B48%7D)
![=\$30,522](https://tex.z-dn.net/?f=%3D%5C%2430%2C522)
Investment of $25,000 for 4 years at an interest rate of 5% if the money is compounded continuously.
![A= Pe^{rt}](https://tex.z-dn.net/?f=A%3D%20Pe%5E%7Brt%7D)
where,
A = Amount after time t,
P = Principle amount,
r = Rate of interest,
t = time period in year.
Putting all the values,
![A= 25000e^{0.05\times 4}=\$30,535](https://tex.z-dn.net/?f=A%3D%2025000e%5E%7B0.05%5Ctimes%204%7D%3D%5C%2430%2C535)
It can be observed that, the frequent we compound the amount, the more we get.
Hi there! :)
<u><em>Answer:</em></u>
<u><em>=28b-57</em></u>
<u><em>*The answer must have a positive sign.*</em></u>
Step-by-step explanation:
<h2><u>Lesson: Distributive property</u></h2>
Distributive property: a(b+c)=ab+ac
First, you expand or multiply by the numbers from left to right.
![7*7=49](https://tex.z-dn.net/?f=7%2A7%3D49)
![7*4=28](https://tex.z-dn.net/?f=7%2A4%3D28)
It change positive to negative sign.
![-49+28b-8](https://tex.z-dn.net/?f=-49%2B28b-8)
Finally, you add/subtract by the numbers from left to right.
![49+8=57](https://tex.z-dn.net/?f=49%2B8%3D57)
It change positive to negative sign.
![=28b-57](https://tex.z-dn.net/?f=%3D28b-57)
<em><u>Final answer is 28b-57</u></em>
I hope this helps you!
Have a nice day! :)
-Charlie
:D
Answer:
1=27 2= -1
Step-by-step explanation:
if three watermelons equal 60 divide that by 3 to get 20. 30 minus 20 will get you what the strawberries together make so divide by two to get 5. After subtract 5 from 3 to get -2 and since you did it in reverse think of it as a positive. So that equals 1. 20 + 1 + 7 is 27. For number two start at the bottom with the clovers since its only clovers.divide 12 by 3 to get 4. Then go up to the second equation 31-16 is 15. After divide by 3 and get 5. Then go to the next equation and do the same thing, add the sunflowers and then subtract the sum from both sides. 40 - 10 is 30. 30 divided by 3 is ten. After go to the last one. 5 - 10 + 4 is -1.