These are the formulas right?.. I hope so, anyways..
- f(n)= 2^(n-1) -1
- g(n)=3n+6
f(7)=2^{7-1}-1 - f(7)=2^{6}-1 - f(7)=64-1 - f<u>(7) = 63
</u>
g(10)=3\X 10+6 - g(10)=30+6 - g<u>(10) = 36</u>
= <u>f(7)>g(10)</u>
I hope that it helped..
Answer:
3.16228
Step-by-step explanation:
I took the exam and got it right :)
Answer:
She will need 17 flats and will have 1 plant left over.
Step-by-step explanation:
six can go into 103 17 times, with a remainder of one.
Short Answer B
RemarkI'm going to interpret this as
![\frac{8(y + 5)}{[3*(3y + 7)]}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%28y%20%2B%205%29%7D%7B%5B3%2A%283y%20%2B%207%29%5D%7D%20)
Step One
Before removing the brackets, the easiest way to start is to substitute for y.
![\frac{8(3 + 5)}{[3*(3*3 + 7)]}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%283%20%2B%205%29%7D%7B%5B3%2A%283%2A3%20%2B%207%29%5D%7D%20)
Step Two
Combine what's inside the brackets.
![\frac{8(8)}{[3*(9 + 7)]}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%288%29%7D%7B%5B3%2A%289%20%2B%207%29%5D%7D%20)
![\frac{8(8)}{[3*(16)]}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%288%29%7D%7B%5B3%2A%2816%29%5D%7D%20)
Step 3
Do the multiplication in both brackets in the top and bottom

Step 4
Reduce by dividing both top and bottom by 16.

The answer should be 4/3
a) The formula for compound interest is:
Total = starting amount x (1 + interest rate)^ number of years
b)
Using the given information you have:
1200 = 500 x (1+0.045)^x where x is the length of time you want to find.
1200 = 500 (1.045)^x
Divide both sides by 500:
2.4 = 1.045^x
Use natural logarithms:
ln(1.045^x) = ln(2.4)
Solve for x:
X = ln(2.4) / ln(1.045)
X = 19.889 years ( Round the answer as needed).