Part A
1) marcus and his family decide to go to niagara falls to enjoy the ride of the niagra sky wheel,the sky wheel is risen 53.3 m above the ground, giveing the riders a spectacular view
of the falls and its souroundings the skywheel has a diameter of 50.5 m and rotates at the rate of one revolution every 120 seconds
marcus and his family bought 4 tickets at a total price of 49.67 including taxes thier ride started at the bottom of the ride which is 2.8 m above the ground
a) sketch the height, h meters of marcus and his family above the ground during one complete revolution at time, t seconds
b) determine a sine/cos function that will model height (h t), of marcus and his family above the ground t seconds
c) determine the height of marcus and his family after 45 seconds round to nearest meter
d) determine speed of skywheel express answer to two decimal places
Part B
1) fatima drops a ball from the height of 16m each time the ball touches the ground it bounces 5/8 of maximum height of previous bounce
determine total vertical distance the ball has traveld when it touches the ground on the seventh bounce
2) 10 years ago raj deposited $5000 into an investment account with intrest compound quarterly. for the first 5 years the intrest rate was 6%
and for the next 5 years the interest rate changed to 4.5% how much money is in the account now
Part C
2) lee wants to make semi anual deposits into an account at 6% a compound semi-anually. he would like to have $4500 in the account at the end of 25 years
a) how much should he deposit at the end of each 6 months
b) how much intrest does he accumilate
1) marcus and his family decide to go to niagara falls to enjoy the ride of the niagra sky wheel,the sky wheel is risen 53.3 m above the ground, giveing the riders a spectacular view
of the falls and its souroundings the skywheel has a diameter of 50.5 m and rotates at the rate of one revolution every 120 seconds
marcus and his family bought 4 tickets at a total price of 49.67 including taxes thier ride started at the bottom of the ride which is 2.8 m above the ground
a) sketch the height, h meters of marcus and his family above the ground during one complete revolution at time, t seconds
b) determine a sine/cos function that will model height (h t), of marcus and his family above the ground t seconds
c) determine the height of marcus and his family after 45 seconds round to nearest meter
d) determine speed of skywheel express answer to two decimal places
Part B
1) fatima drops a ball from the height of 16m each time the ball touches the ground it bounces 5/8 of maximum height of previous bounce
determine total vertical distance the ball has traveld when it touches the ground on the seventh bounce
2) 10 years ago raj deposited $5000 into an investment account with intrest compound quarterly. for the first 5 years the intrest rate was 6%
and for the next 5 years the interest rate changed to 4.5% how much money is in the account now
Part C
2) lee wants to make semi anual deposits into an account at 6% a compound semi-anually. he would like to have $4500 in the account at the end of 25 years
a) how much should he deposit at the end of each 6 months
b) how much intrest does he accumilate