A(n)=a(1)+(n-1)d=
a(n)=2+(n-1)2=2+2n-2=2n
Past due amount = $87.50
Late fee equals 15% of $87.50, which is 0.15 × 87.50 = $13.125
New charges are $75.00
Total due now = 87.50 + 13.125 + 75 = $175.625
Final total: $175.63
Step-by-step answer:
The base of the exponential function is set at 1.29 for a period of 7 days, which is expressed as
f(x) = 86*(1.29)^x
To determine the daily rate, divide the variable x by 7 (keeping x as the number of weeks), resulting in
f(x) = 86*1.29^(x/7)
Applying the exponent rule, b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x
we can simplify by setting b=1.29, a=7 to arrive at
f(x) = 86*(1.29^(1/7))^x
f(x) = 86*(1.037)^x since evaluating 1.29^(1/7) yields approximately 1.037
Rounding 1.037 to 1.04 gives a (VERY) rough estimate function
f(x) = 86 * (1.04^x)
1.04 is only an approximation because 1.04^7 is expected to return 1.29, it actually results in 1.316; meanwhile, 1.037^7 returns 1.2896, which is much closer to 1.29.
In the ratio of miles traveled, Mr. Storey and Mrs. Storey's journey is represented as mr: mrs = 3: 1. The total of these ratio units equals 4 (3+1), which means each unit corresponds to 3200 divided by 4, resulting in 800 miles. Mr. Storey drove 3 multiplied by 800, equating to 2400 miles, while Mrs. Storey drove 1 multiplied by 800, totaling 800 miles.
