Answer:
218
Step-by-step explanation:
Because we need f(n) to calculate f(n+1), we have to calculate our values one step at a time. Starting with f(1) = 1,
f(2) = 5(f(1)) + 3 = 5(1) + 3 = 5+3 = 8
f(3) = 5(8) + 3 = 40 + 3 = 43
f(4) = 5(43) + 3 = 215 + 3 = 218
Answer: Percentage change in quantity would decrease by 12.5%.
Step-by-step explanation:
Since we have given that
Price elasticity of demand = -0.8
Price of each unit = $100
After change, price of each unit becomes = $110
% change in quantity would be

As we know the relation between price, quantity and elasticity.

Hence, Percentage change in quantity would decrease by 12.5%.
We need to compute the exact number of days of the loan.
Given:
Loan: 1,870
rate: 11%
term: Oct. 5 to Jan 16.
Oct 5-Oct 31: 26 days
Nov: 30 days
Dec: 31 days
Jan 16: 16 days.
total number of days: 103 days.
Interest = Principal * rate * term
Interest = 1870 * 0.11 * 103/365
Interest = 58.05
Given:
Promissory note $5,380
rate 6.2%
term: July 15 to Dec. 28
July 15 - 31 = 16 days
August: 31 days
September: 30 days
October: 31 days:
November: 30 days
December: 28 days
Total number of days is 166 days
Interest = Principal * rate * term
Interest = 5,380 * 0.062 * 166/365
Interest = 151.70
Answer: 35
the age of Roberto is x (x > 3)(x ∈ N)
because Roberto is 3 years older than Carolyn => the age of Carolyn is x - 3
in 7 years, the age of Roberto is x + 7; the age of Carolyn is x - 3 + 7 = x + 4
because In 7 years the sum of their ages will be 81 =>
x + 7 + x + 4 = 81
⇔ 2x + 11 = 81
⇔ 2x = 70
⇔ x = 70/2 = 35
=> the age of Roberto is 35
Step-by-step explanation: