A.) A = 20000 + 1000n
B = 20000(1.04)^n
b.) For A, sn = n/2(2a + (n - 1)d)
s20 = 20/2(2(20000) + 1000(20 - 1)) = 10(40000 + 19(1000)) = 10(40000 + 19000) = 10(59000) = $590,000
For B, sn = a(r^n - 1)/(r - 1)
s20 = 20000((1.04)^20 - 1)/(1.04 - 1) = 20000(2.191 - 1)/0.04 = 20000(1.191)/0.04 = 23822.46 / 0.04 = $595,561.57
c.) Using a graphing calculator, it takes 18 years for the
<span>total amount earned a company B is greater that the total amount of earned at company A.</span>
Answer:
61st term in the sequence
Step-by-step explanation:
125 = 2n + 3
122 = 2n
n = 61
Hey! So, here's a tip. When writing exponents, an easier way is to write a^b, rather than a to the b power. Besides that, here is your answer!
So-------
9^3=729
3^2=9
6^3=216
15^2=225
Now that we have that figured out, we can add them together, wish is simple. 729 + 9 + 216 + 225= 1,179.
Therefore, your final answer will be 1,174.
If you have any questions on this, I'm happy to help you. :)
Answer:
Manish has Rs630 while Jhanavi has Rs168.
Step-by-step explanation:
The fraction Manish would have left would be subtracting the fraction on savings as well as that spent on the mall. Which would be;
1 -( 1/2 + 1/4)=1 -3/4 = 1/4
Meaning Manish had 1/4 of his allowance left on him.
Which means 1/4 × Rs. 2520=Rs630
Similarly for Jhanavi, we have :
The fraction left as
1-(1/3 +3/5) = 1 - ( 14/15) = 1/15
Meaning 1/15 of the allowance got remains which is;
1/15 × Rs. 2520= Rs.168
since we know those two triangles are similar then we can use proportions.
![\cfrac{AE}{AB}=\cfrac{AD}{AC}\implies \cfrac{14-8}{2x}=\cfrac{14}{2x+4}\implies \cfrac{6}{2x}=\cfrac{14}{2x+4}\implies \cfrac{3}{x}=\cfrac{14}{2x+4} \\\\\\ 6x+12=14x\implies 12=8x\implies \cfrac{12}{8}=x\implies \cfrac{3}{2}=x \\\\[-0.35em] ~\dotfill\\\\ AB=2x+4\implies AB=2\left( \frac{3}{2} \right)+4\implies AB=3+4\implies AB=7](https://tex.z-dn.net/?f=%5Ccfrac%7BAE%7D%7BAB%7D%3D%5Ccfrac%7BAD%7D%7BAC%7D%5Cimplies%20%5Ccfrac%7B14-8%7D%7B2x%7D%3D%5Ccfrac%7B14%7D%7B2x%2B4%7D%5Cimplies%20%5Ccfrac%7B6%7D%7B2x%7D%3D%5Ccfrac%7B14%7D%7B2x%2B4%7D%5Cimplies%20%5Ccfrac%7B3%7D%7Bx%7D%3D%5Ccfrac%7B14%7D%7B2x%2B4%7D%20%5C%5C%5C%5C%5C%5C%206x%2B12%3D14x%5Cimplies%2012%3D8x%5Cimplies%20%5Ccfrac%7B12%7D%7B8%7D%3Dx%5Cimplies%20%5Ccfrac%7B3%7D%7B2%7D%3Dx%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20AB%3D2x%2B4%5Cimplies%20AB%3D2%5Cleft%28%20%5Cfrac%7B3%7D%7B2%7D%20%5Cright%29%2B4%5Cimplies%20AB%3D3%2B4%5Cimplies%20AB%3D7)
