Answer: A= 1,-5 b=5,-3
Step-by-step explanation: i dont have one
Current amount in account
P=36948.61
Future value of this amount after n years at i=11% annual interest
F1=P(1+i)^n
=36948.61(1.11)^n
Future value of $3000 annual deposits after n years at i=11%
F2=A((1+i)^n-1)/i
=3000(1.11^n-1)/0.11
We'd like to have F1+F2=280000, so forming following equation:
F1+F2=280000
=>
36948.61(1.11)^n+3000(1.11^n-1)/0.11=280000
We can solve this by trial and error.
The rule of 72 tells us that money at 11% deposited will double in 72/11=6.5 years, approximately.
The initial amount of 36948.61 will become 4 times as much in 13 years, equal to approximately 147800 by then.
Meanwhile the 3000 a year for 13 years has a total of 39000. It will only grow about half as fast, namely doubling in about 13 years, or worth 78000.
Future value at 13 years = 147800+78000=225800.
That will take approximately 2 more years, or 225800*1.11^2=278000.
So our first guess is 15 years, and calculate the target amount
=36948.61(1.11)^15+3000(1.11^15-1)/0.11
=280000.01, right on.
So it takes 15.00 years to reach the goal of 280000 years.
<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> </em><em>⤴</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em>
<em>But</em><em> </em><em>I</em><em> </em><em>can't</em><em> </em><em>see</em><em> </em><em>the</em><em> </em><em>question</em><em> </em><em>no</em><em>.</em><em>2</em><em>6</em><em> </em><em>clearly</em><em> </em><em>.</em><em>.</em><em>.</em><em>.</em>
<em>so</em><em> </em><em>text</em><em> </em><em>the</em><em> </em><em>question</em><em> </em><em>in</em><em> </em><em>comment</em><em> </em><em>box</em><em>.</em>
9-3(2+6)/6-2x5
9-3x8/6-2x5
9-3x8/6-10
9-4-10
the answer is -5
1/6 of the shingles/ 2 stacks= 1/12 of the shingles/stack.
There will be 1/12 of the shingles in each stack~
