Answer:
0.2682 or 26.82%
Step-by-step explanation:
The monthly interest rate (r) that your friend is willing to pay is:
The following expression converts a monthly interest rate (r) into an annual interest rate (i):
![r=\sqrt[12]{1+i}-1](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B12%5D%7B1%2Bi%7D-1)
For r = 0.02:
![0.02=\sqrt[12]{1+i}-1 \\1.02^{12}-1=i\\i=0.2682](https://tex.z-dn.net/?f=0.02%3D%5Csqrt%5B12%5D%7B1%2Bi%7D-1%20%5C%5C1.02%5E%7B12%7D-1%3Di%5C%5Ci%3D0.2682)
Your friend is willing to pay an annual rate of 0.2682 or 26.82%.
Let x represent the width. Since the length is 3 more than 4 times the width, that would be equal to 3+4x. The perimeter is the sum of all sides, so that would be x+x+3+4x+3+4=86. Combine like terms, which would result in 10x+6=86. Subtract 6 from both sides giving you 10x=80. Divide by 10 giving you x=8. That means that the width is 8. The length is 3+4x. Substitute 8 for x giving you 3+4(8). Multiply, giving you 3+32, then add, which would give you 35. 35 is the length.
Step-by-step explanation:
t1 = 1 = 7*1 - 6
t2 = 8 = 7* 2 - 6
t3 = 15 = 7 * 3 - 6
t4 = 22 = 7 *4 - 6
t5 = 29 = 7 * 5 - 6
-------------------------
Tn = 7n - 6
