Answer:
x = 993.32
Explanation:
Given:
p=10+5ln(3x+1) , where p = $50
50 = 10 + 5ln(3x+1)
50-10 = 5ln(3x+1)
40 = 5ln(3x+1)
40/5 = ln(3x+1)
8 = ln(3x+1)
3x + 1 =
Using calculator = 2,980.96
3x + 1 = 2,980.96
3x = 2,980.96 - 1
3x = 2,979.96
x = 2,979.96 / 3
x = 993.32
Therefore, 993.32 units would be supplied.
Answer:
Inflation in 2012:
= 10%
Inflation in 2013:
= 9.09%
Inflation in 2014:
= 5%
Real rate of interest = Nominal - inflation
Given that,
Nominal rate = 8%
Therefore,
Real interest rate is as follows:
2012:
= 8% - 10%
= -2%
2013:
= 8% - 9.09%
= -1.09%
2014:
= 8% - 5%
= 3%
$6000 at 8% grows to:
= 1000 × 1.08
= $6,480 in one year
which is invested again to grow to $6,998.4 in two years
which is invested again to grow to $7,558.272 in three years
so,
Total gain:
= 25.9712%
The price level increases in three years by:
= 26%
So,
Total real rate of return:
= Total gain - Percentage increase in prices
= 25.9712 - 26
= -0.0288%