f ( 7 ) = 2.4 ft
Step-by-step explanation:
Solution:-
- This is modeled using a geometric sequence function with initial height from which ball is dropped hi = 18 feet, and a decrease in height by 25% after each successive bounce :
f ( x ) = 18 (0.75)^x
Where, x e [ 0 , ∞ ) : The number of bounces.
f (x) : The maximum height after xth bounce.
- The maximum height reached by the ball after its 7th bounce. So, x = 7:
f ( 7 ) = 18 (0.75)^7
f ( 7 ) = 2.4027 ft
- To the nearest tenth:
f ( 7 ) = 2.4 ft
Answer:
Let f_n be the number of rabbit pairs at the beginning of each month. We start with one pair, that is f_1 = 1. After one month the rabbits still do not produce a new pair, which means f_2 = 1. After two months a new born pair appears, that is f_3 = 2, and so on. Let now n 
3 be any natural number. We have that f_n is equal to the previous amount of pairs f_n-1 plus the amount of new born pairs. The last amount is f_n-2, since any two month younger pair produced its first baby pair. Finally we have
f_1 = f_2 = 1,f_n = f_n-1 + f_n-2 for any natural n 3.
Answer:
Bond Price= $1,070.24
Step-by-step explanation:
Giving the following information:
Cupon= $80
Number of periods= 10 years
Face value= $1,000
Interest rate= 7%
<u>To calculate the price of the bond, we need to use the following formula:</u>
Bond Price= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]
Bond Price= 80*{[1 - (1.07^-10)] / 0.07} + [1,000 / (1.07^10)]
Bond Price= 561.89 + 508.35
Bond Price= $1,070.24
