1. Ciara solved the exponential equation 3 x+1 = 15 and her work is shown below. What is the first step she did incorrectly?
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1. Ciara solved the exponential equation 3x+1 = 15 and her work is shown below. What is the first step she did incorrectly?
Step 1:
log 3x+1 = log15
Step 2:
(x + 1)log 3 = log15
Step 3:
log3 =
Step 4:
0.477121 =
Step 5:
0.477121(x + 1) = 1.176091
Step 6:
x + 1 =
Step 7:
x + 1 = 2.464975
Step 8:
x = 1.464975
2. A motorcycle cost $12,000 when it was purchased. The value of a motorcycle decreases by 6% each year. Find the rate of decay each month and select the correct answer below.
a) −0.005143%
b) −0.5143%
c) −0.5%
d) −0.005%
3. You decide to put $150 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate of 2.5% per year and is compounded monthly, how long does it take you to earn $3,000 without depositing any additional funds?
a) 10.1101 years
b) 119.954 years
c) 121.321 years
d) 134.34 years
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