This one uses the formula A(t)=P(1+r)^t, where A(t) is the amount in the end, P is the initial investment, r is the rate, and t is the time in years. Because we are compounding annually, the formula is simpler than it would be if we had to consider half of a year or a quarter of a year. If we don't know how much money we started with, how can we know what its double is you might ask. Let's make up the numbers!! We will start with 1000, so doubling it is 2000. So the formula would look like this: 2000=1000(1.05)^t. Divide thee 2000 by the 1000 to get 2 = 1.05^t. Now take the common log of both sides to get
log 2 = log 1.05^t. One of the properties of logs tells us that we can bring the t down in front of the log so it looks like this now: log 2 = t log 1.05. Divide both sides by log 1.05 to get the t alone: log 2/log 1.05 = t. Do the math on your calculator to get that t = 14.2 years.
The inverse of the function f(x)= x^2 is a function.
<h3>The graph of the inverse</h3>
The equation of the function is
f(x)= x^2
Rewrite as:
y = x^2
Swap x and y
x = y^2
Make y the subject

Rewrite as:

So, the inverse of f(x)= x^2 is 
See attachment for the graph
<h3>Is the inverse a function?</h3>
The inverse is a function.
This is so because it passes the vertical line test
Read more about inverse functions at:
brainly.com/question/2883051
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Answer:
Step-by-step explanation:
To find the additive inverse of polynomial expression, flip the sign of each term.
6x² ----> -6x²
-x -----> +x
-2 -----> +2
Additive inverse:
-6x² + x + 2
Answer:
A
Step-by-step explanation:
hope this helped
Answer:
8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card
Step-by-step explanation:
Price without Discount Card Price with Discount Card
Ticket (12 & Under) $10 $8
Adult's Ticket $15 $12
Let x be the number of visits
Price without discount card for 2 adults and 1 child ticket
Price without discount for x visits = 
Price with discount for x visits =
Now to find For what number of visits will the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card
57+32x< 40x
57<8x
7.1<x
So, 8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card