The function that represents the situation for the position function s = − 16 t 2 + v 0 t + s 0 , if an object is thrown upward from a height of 6 feet at a velocity of 64 feet per second .
The function that represents the situation for the position function s = − 16 t 2 + v 0 t + s 0 , if an object is thrown upward from a height of 6 feet at a velocity of 64 feet per second .
Solution Summary: The author calculates the situation for the position function s=-16t2+v_0
To calculate: The function that represents the situation for the position function s=−16t2+v0t+s0, if an object is thrown upward from a height of 6 feet at a velocity of 64 feet per second.
(b)
To determine
To graph: The position function s=−16t2+64t+6 by using the graphing utility.
(c)
To determine
To calculate: The average rate of change of the function from t1=0 to t2=3 seconds, if the given position function is s=−16t2+64t+6.
(d)
To determine
The slope of the secant line, if the given position function is s=−16t2+64t+6.
(e)
To determine
To calculate: The equation of the secant line from t1=0 to t2=3 seconds, if the given position function is s=−16t2+64t+6.
(f)
To determine
To graph: The equation of the secant line y=16t+6 in the same viewing window where the position function s=−16t2+64t+6 is graphed.
Directions: Use the equation A = Pet to answer each question and be sure to show all your work.
1. If $5,000 is deposited in an account that receives 6.1% interest compounded continuously, how much money is in the
account after 6 years?
2. After how many years will an account have $12,000 if $6,000 is deposited, and the account receives 3.8% interest
compounded continuously?
3. Abigail wants to save $15,000 to buy a car in 7 years. If she deposits $10,000 into an account that receives 5.7% interest
compounded continuously, will she have enough money in 7 years?
4. Daniel deposits $8,000 into a continuously compounding interest account. After 18 years, there is $13,006.40 in the account.
What was the interest rate?
5. An account has $26,000 after 15 years. The account received 2.3% interest compounded continuously. How much was
deposited initially?
TRIANGLES
INDEPENDENT PRACTICE
ription Criangle write and cow
Using each picture or description of triangle write and solve an equation in ordering the
number of degrees in each angle
TRIANGLE
EQUATION & WORK
ANGLE MEASURES
A
B
-(7x-2)°
(4x)
(3x)°
(5x − 10)
C
(5x – 2)
(18x)
E
3.
G
4.
H
(16x)°
LL
2A=
2B=
ZE=
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