Let the original amount be A. Double that would be 2A.
Then, 2A = Ae^(r*5), or 2 = e^(5r).
Taking the natural log of both sides: ln 2 = 5r. Then r = (ln 2)/5 = 0.14
The interest rate would have to be 13.86% per year, written here as r=0.14.
Answer:
8748
Step-by-step explanation:
a^5b^-6
when replacing the variables with their values :
3^5 -6^2
3^5 = 3*3*3*3*3 = 243
(-6)^ 2 = 36
243 * 36 =
8748
Answer:
d : [ 0 , 26 ]
Step-by-step explanation:
Given:-
- The oranges produced last year, x = 36
- The oranges produced this year, y < 10
Find:-
What are the possible values for how many fewer oranges were produced from the tree this year
Solution:-
- The possible values for how many fewer oranges were produced this year relative to last can be determined by solving an inequality that signifies a difference (d) between last year and this year production as follows:
d = x - y
d = 36 - (<10)
- To remove the inequality from Right hand side we we can shift it to left hand side by inverting the inequality sig, since last production is exactly known we have:
d≥36 - 10
d≥ 26
- So the number of oranges produced are at least 26 less than last year and lower bound would be if there is no orange produced this year. Hence, the range is:
d : [ 0 , 26 ]
Okay, so the pattern is multiplying by 4. so to find the next two numbers: 128 times 4=512 times 4=2048. so all six numbers are 2, 8, 32, 128, 512, and 2048. Add all six together and you get D-2730.
