9. Suppose you invest $2000 in a savings account, compounded continuously. After 4 years, the account grows to $2542.50. The situation can be described using the formula, A= Pe. The table below shows the account balance each year. Find the rate of change of the account. Year Account Balance $2123.67 $2254.99 $2394.43 $2542.50 4

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 4PT: An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded...
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o. Suppose you invest $2000 in a savings account, compounded continuously. After 4 years, the account
grows to $2542.50. The situation can be described using the formula, A= Pe". The table below shows the
account balance each year. Find the rate of change of the account.
Year
Account Balance
$2123.67
$2254.99
$2394.43
$2542.50
3
4.
30. Your grandmother invests money into a savings account for you. The following equation describes the
situation: A = 1000(1.035). Which of the following is a TRUE statement?
a. Your grandmother invested $1035 into the account.
b. The interest rate of the account is 1.035%
c. The account is compounded biweekly.
d. The account is compounded biannually.
31. Suppose you invest $3000 at an annual interest of 4.5% compounded continuously. How long will it take to
reach $5000 in your account? Round to the nearest year.
32. Write the following equation in logarithmic form: 10° = 1000
33. Solve the following equation: 2*=25
34. Write the recursive formula for the nth term of the sequence, then find the 8th term.
bebloed
-8, -12, -18, -27...
alame
35. Given the following arithmetic sequence below, write the explicit formula for a,.
27, 21, 15, 9, ...
on the unit circle, find the measure of the angle with a terminal side at this point.
36. Given the point (, -)
Write your answer in radians.
37. Angle e is in Quadrant II with sin e = 2 , Find cos 0.
38. Find the point on the unit circle, located at the terminal side of the angle with a measure of 225°.
8
Transcribed Image Text:o. Suppose you invest $2000 in a savings account, compounded continuously. After 4 years, the account grows to $2542.50. The situation can be described using the formula, A= Pe". The table below shows the account balance each year. Find the rate of change of the account. Year Account Balance $2123.67 $2254.99 $2394.43 $2542.50 3 4. 30. Your grandmother invests money into a savings account for you. The following equation describes the situation: A = 1000(1.035). Which of the following is a TRUE statement? a. Your grandmother invested $1035 into the account. b. The interest rate of the account is 1.035% c. The account is compounded biweekly. d. The account is compounded biannually. 31. Suppose you invest $3000 at an annual interest of 4.5% compounded continuously. How long will it take to reach $5000 in your account? Round to the nearest year. 32. Write the following equation in logarithmic form: 10° = 1000 33. Solve the following equation: 2*=25 34. Write the recursive formula for the nth term of the sequence, then find the 8th term. bebloed -8, -12, -18, -27... alame 35. Given the following arithmetic sequence below, write the explicit formula for a,. 27, 21, 15, 9, ... on the unit circle, find the measure of the angle with a terminal side at this point. 36. Given the point (, -) Write your answer in radians. 37. Angle e is in Quadrant II with sin e = 2 , Find cos 0. 38. Find the point on the unit circle, located at the terminal side of the angle with a measure of 225°. 8
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