A.The sum of two products; there are two terms
Answer:
StartFraction negative 1 Over k cubed EndFraction
Step-by-step explanation:
3k / (k + 1) × (k²- 1) / 3k³
= 3k(k² - 1) / (k + 1)(3k³)
= 3k³ - 3k / 3k⁴ + 3k³
= -3k / 3k⁴
= -1/k³
StartFraction k + 1 Over k squared EndFraction
(k + 1) / k²
StartFraction k minus 1 Over k squared EndFraction
(k - 1)/k²
StartFraction negative 1 Over k cubed EndFraction
= -1/k³
StartFraction 1 Over k EndFraction
= 1/k
Initial repair cost = $1200
Gratuity = 15% of the initial repair cost
= 15% of 1200
= 15 × 12
= 180
Hence, the gratuity for the service is $180.
Gareth has $2,000 to invest. Putting the money in a savings account at his local bank will earn him 2.2% annual interest.
Interest earned in local bank = 2000 * 22.2% = 2000 * 0.022 = 44
Putting the money in an online savings account will earn him 4.85% annual interest
Interest earned in online account = 2000 * 4.85% = 2000 * 0.0485 = 97
He will be charged $3 every time he makes an ATM withdrawal.
In online account, the interest is 97 . If he withdraws 18 times then
Total ATM fee is 18 * 3= 54 . so 97 - 54 = 43
43 is lower than 44 that is interest of local account.
Therefore, 18 ATM withdrawals make local savings account to be a better deal than the online savings account every year.
B, the bottom of the figure contains points E, F, and H
