Well first lets find the ROC (rate of change) in the sets of data.
1990 -> 134
2000 -> 139
so lets find the difference from the years given
2000-1990=10 so there is a 10 year gab
139-134=5 so there is a 5 million increase in the population
so divide 10 by 5 which gives us 2, so every year there is a 2 million increase in the population. so from 2000 to 2014 there is 14 years, so
14 x 2= 28, then add that to the latest population data
139+28=167
so the population in 2014 would be 167 million
Hope this helped!!
Answer:
Step-by-step explanation:
If y is the future value of the $1900 investment, in dollars, after t years at a rate of 3.75% per year, compounded annually. The exponential function that describes the relationship between the variables y and t is:
This relationship means that for every year t, the amount y will increase by a factor of 1.0375.
(-5, 4)
You can get this by finding the vertex at -b/2a for x value and plugging in to find the y value.
Answer:
$89.93
Step-by-step explanation:
Set up an equation:
Variable x = original price
40/100 = 35.97/x
Cross multiply
40 × x = 100 × 35.97
40x = 3597
Divide both sides by 40
x = 89.925
Round to the nearest cent:
5 rounds up so:
89.93
Check your work (use the original number instead of the rounded number to be more exact):
89.925 × 40%
Convert the percentage into a decimal to multiply:
89.925 × 0.40
35.97
Correct!
Verify each of the solutions by substituting them back into the original equation <span><span>log<span>(−2a+9)</span>=log<span>(7−4a)</span></span><span>log<span>(-2a+9)</span>=log<span>(7-4a)</span></span></span> and solving. In this case, all solutions were found to be valid.<span>a=−<span>1</span></span>
