Samantha took out a loan that does not require her to make any payments for 12​ months, although interest is being charged to her account. The table below shows the total amount she owes each month after taking the loan. Complete parts ​(a) through ​(f). Loan Balance
Month
0
1
2
3
4
Total Amount Owed​ ($)
​(a) Find an exponential model that is a reasonable fit for the data.
The exponential model that is a reasonable fit for the data is ​f(x)
3600 left parenthesis 1.019 right parenthesis Superscript x.
​(Type integers or decimals rounded to three decimal places as needed. Type an expression using x as the​ variable.)
​(b) How much will Samantha owe at the end of 12​ months, assuming she does not make any payments before​ then?
At the end of 12 months Samantha will owe ​$
nothing.
​(Round to the nearest integer as​ needed.)

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true

arc length = 6.63311 ft.

step-by-step explanation:

the formula the arc measure is:

arc length s=2πr(c)/360

where:

c   is the central angle of the arc in degrees

r   is the radius of the arc

π   is pi, approximately 3.142

using the above formula we get

s =

thus we find that arc length of an arc for a circle of radius 20 feet and central angle 19 degrees is

6.63311 feet