10 (13) 15
35 (37) 40
45 (48) 50
60 (61) 65
90 (93) 95
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.
1 bottle cap is 1.2 cm, so two caps would be 2.4 cm ( 1.2 x 2)
The scale is 2.4 cm: 1 foot, so 2 bottle caps would equal 1 foot.
The building is 20 feet tall
20 feet x 2 caps per foot = 40 caps total.
Answer:
The equation representing the relationships between the cost of laptop and Cole's payment is 
.
Step-by-step explanation:
Given:
Cost of laptop = 335
Down payments = $50
Number of equal payments = 
We need to write the equation form the relationships between the cost of laptop and cole's payment.
Solution:
Now we can say that;
Cost of laptop is equal to sum of Down payments and Number of equal payments.
framing in equation form we get;
Hence The equation representing the relationships between the cost of laptop and Cole's payment is .
