Answer:
yes
Step-by-step explanation:
The arithmetic sequence general formula is an = a1 + d *(n-1) where d is the arithmetic difference and n is an integer. In this case, upon derivation, the formula that represents the sum of the series is S = (a1 + an)*(n/2). Substituting, S = (3+75)*(10/2) equal to 390
57/40=14.25
14.25x100=142.5
d=142.5 feet
Answer:
18.95
Step-by-step explanation:
18.94736842 rounded to its nearest hundredth will be 18.95
Interest paid after 30 years is $494,546.99.
Solution:
Principal (P) = $195,000
Interest rate (r) = 4.3%
Time (t) = 30 years
n = number of times interest calculated per year
n = 1
Compound interest formula:
![$A=P\left(1+\frac{r}{n}\right)^{n t}](https://tex.z-dn.net/?f=%24A%3DP%5Cleft%281%2B%5Cfrac%7Br%7D%7Bn%7D%5Cright%29%5E%7Bn%20t%7D)
where A is the final amount
![$A=195000\left(1+\frac{4.3\%}{1}\right)^{1\times 30}](https://tex.z-dn.net/?f=%24A%3D195000%5Cleft%281%2B%5Cfrac%7B4.3%5C%25%7D%7B1%7D%5Cright%29%5E%7B1%5Ctimes%2030%7D)
![$A=195000\left(1+\frac{4.3}{100}\right)^{30}](https://tex.z-dn.net/?f=%24A%3D195000%5Cleft%281%2B%5Cfrac%7B4.3%7D%7B100%7D%5Cright%29%5E%7B30%7D)
![$A=195000\left(\frac{100+4.3}{100}\right)^{30}](https://tex.z-dn.net/?f=%24A%3D195000%5Cleft%28%5Cfrac%7B100%2B4.3%7D%7B100%7D%5Cright%29%5E%7B30%7D)
![$A=195000\left(\frac{104.3}{100}\right)^{30}](https://tex.z-dn.net/?f=%24A%3D195000%5Cleft%28%5Cfrac%7B104.3%7D%7B100%7D%5Cright%29%5E%7B30%7D)
A = 689546.99
Interest = Amount - Principal
= 689546.99 - 195000
= 494546.99
Interest paid after 30 years is $494,546.99.