A second baseman throws a baseball toward the first baseman 60 feet away. The path of the baseball is given by the function f x = − 0.004 x 2 + 0.3 x + 6 where f x is the height of the baseball (in feet) and x is the horizontal distance from the second baseman (in feet). The first baseman can reach 8 feet high. Can the first baseman catch the baseball without jumping?
A second baseman throws a baseball toward the first baseman 60 feet away. The path of the baseball is given by the function f x = − 0.004 x 2 + 0.3 x + 6 where f x is the height of the baseball (in feet) and x is the horizontal distance from the second baseman (in feet). The first baseman can reach 8 feet high. Can the first baseman catch the baseball without jumping?
Solution Summary: The author explains that the first baseman cannot catch the baseball without jumping if he can reach a height of 8 feet, which is less than 9.6 feet.
A second baseman throws a baseball toward the first baseman
60
feet away. The path of the baseball is given by the function
f
x
=
−
0.004
x
2
+
0.3
x
+
6
where
f
x
is the height of the baseball (in feet) and
x
is the horizontal distance from the second baseman (in feet). The first baseman can reach
8
feet high. Can the first baseman catch the baseball without jumping?
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=
Answer ASAP and every part, please. Structures.
Chapter 2 Solutions
College Algebra Real Mathematics Real People Edition 7
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