The concentration C ( t ) ( in ng/mL ) of a drug in the bloodstream t hours after ingestion is modeled by c ( t ) = 500 t r 3 + 100 a. Graph the function y = C ( t ) and the line y = 4 on the window [ 0 , 32 , 4 ] by [ 0 , 10 , 3 ] . b. Use the Intersect feature to approximate the point (s) of intersection of y = C ( t ) and y = 4 . Round to 1 decimal place if necessary. c. To avoid toxicity, a physician may give a second dose of the medicine once the concentration falls below 4 ng/mL for increasing values of t, Determine the times at which it is safe to give a second dose. Round to 1 decimal place.
The concentration C ( t ) ( in ng/mL ) of a drug in the bloodstream t hours after ingestion is modeled by c ( t ) = 500 t r 3 + 100 a. Graph the function y = C ( t ) and the line y = 4 on the window [ 0 , 32 , 4 ] by [ 0 , 10 , 3 ] . b. Use the Intersect feature to approximate the point (s) of intersection of y = C ( t ) and y = 4 . Round to 1 decimal place if necessary. c. To avoid toxicity, a physician may give a second dose of the medicine once the concentration falls below 4 ng/mL for increasing values of t, Determine the times at which it is safe to give a second dose. Round to 1 decimal place.
Solution Summary: The author explains how to graph the function using the TI-83 graphing calculator.
The concentration
C
(
t
)
(
in ng/mL
)
of a drug in the bloodstream t hours after ingestion is modeled by
c
(
t
)
=
500
t
r
3
+
100
a. Graph the function
y
=
C
(
t
)
and the line
y
=
4
on the window
[
0
,
32
,
4
]
by
[
0
,
10
,
3
]
.
b. Use the Intersect feature to approximate the point (s) of intersection of
y
=
C
(
t
)
and
y
=
4
. Round to 1 decimal place if necessary.
c. To avoid toxicity, a physician may give a second dose of the medicine once the concentration falls below
4
ng/mL
for increasing values of t, Determine the times at which it is safe to give a second dose. Round to 1 decimal place.
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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