For Exercises 61-70, use the model A = P e r t or A = P ( 1 + r n ) r t , where A is the future value of P dollars invested at interest rate r compounded continuously or n times per year for t years. (See Example 11) If $4000 is put aside in a money market account with interest compounded continuously at 2.2%, find the time required for the account to earn $1000. Round to the nearest month.
For Exercises 61-70, use the model A = P e r t or A = P ( 1 + r n ) r t , where A is the future value of P dollars invested at interest rate r compounded continuously or n times per year for t years. (See Example 11) If $4000 is put aside in a money market account with interest compounded continuously at 2.2%, find the time required for the account to earn $1000. Round to the nearest month.
Solution Summary: The author calculates the time required for an account to earn 1000 in a money market account with interest compounded continuously.
For Exercises 61-70, use the model
A
=
P
e
r
t
or
A
=
P
(
1
+
r
n
)
r
t
, where A is the future value of P dollars invested at interest rate r compounded continuously or n times per year for t years. (See Example 11)
If $4000 is put aside in a money market account with interest compounded continuously at 2.2%, find the time required for the account to earn $1000. Round to the nearest month.
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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