Answer: $352.48
Step-by-step explanation:
Hi, to answer this question we have to apply the formula:
A = P (1 + r)^t
Where
A: total balance after invest
P: principal amount invested
r = interest rate (in decimal form)
t = time (years)
Replacing with the values given:
500= P (1+0.06)^6
Solving for P:
500 = P (1.06)^6
500 / ( (1.06)^6)=P
500 / 1.4185 =P
$352.48= P
Answer:
9 at minimum
Step-by-step explanation:
a minimum of 9 because it takes a total of 8 rides to take back a full 18 cars back and the 9th ride takes back the remainder which is 0.27777777778 times 18 cars
The function that models the growth of the population is P = 276.6e^0.009t
<h3>What is the function?</h3>
We can see that the table shows the increase in population over time. We know that population growth is an example of exponential function. We have to apply the formula of exponential function.
Let us now obtain the function that could show the population at each time;
Given that;
Po = initial population
P = population at time t
r = rate of population growth
P = Poe^rt
P = 305.9
r = ?
t = 10
Po = 276.6
Substituting values;
305.9 = 276.6e^10r
305.9/276.6 = e^10r
1.1 = e^10r
ln 1.1 = 10r
r = ln1.1/10
r = 0.009
Thus the function is;
P = 276.6e^0.009t
Learn more about population growth:brainly.com/question/18415071
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Answer:
f(x)^-1(x) =sqrt(x+5) -6
Step-by-step explanation:
f(x) = (x + 6)^2 - 5
y = (x + 6)^2 - 5
Exchange x and y and solve for y
x = (y + 6)^2 - 5
Add 5 to each side
x+5 = (y + 6)^2 - 5+5
x+5 = (y + 6)^2
Take the square root of each side
sqrt(x+5 )= sqrt( (y + 6)^2 )
sqrt(x+5 )=(y + 6)
Subtract 6 from each side
sqrt(x+5 ) -6=y + 6-6
sqrt(x+5) -6 = y