Answer:
t = 20.3 years
Step-by-step explanation:
I am assuming that this amount of money invested is compounding annually, so I am going to use the formula that goes along with that assumption:
where A(t) is the amount at the end of compounding, P is the initial investment, r is the interest rate in decimal form, and t is the time in years. We are solving for t. Right now it is the exponent, but we have to get it down from that position in order to solve for it. The only way we can do that is to eventually take the natural log of both sides. But let's write the equation first and then do some simplifying to make things a bit easier mathematically:
and
We will divide both sides by 5,500:
Taking the natural log of both sides gives us:
The power rule for logs (both common and natural) tells us that once we take the log or ln of a base, the exponent comes down out front:
ln(3.58181818) = t ln(1.065)
Now we can divide both sides by ln(1.065) and do the math on our calculators to find that
t = 20.2600 or, to the tenth of a year,
t = 20.3 years
Answer:
7 units to the left of 3 is your answer.
Hope this helps!
Answer:
29 losses in 49 games.
Step-by-step explanation:
The number of games that they lost in the first 12 = 12 - 5 = 7
7/12 = x / 49 Multiply both sides by 49
7*49 / 12 = x
x = 343/12
x = 28.5833
What do you do with the 0.5833? I would say round up to 29.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Equation of regression line : y^ = 60.7 + 0.139x
x = payroll (in millions of dollars) and y = number of wins for Major League Baseball teams in 2016.
From the general regression equation:
y = mx + c
Where m = slope of regression line.
The slope (m) of the equation given is 0.139
The slope could be interpreted as ; for every per unit change in y (every win a major league baseball team has in 2016), the payroll in million dollar increases by a product of 0.139