( x + y + 2 ) ( y + 1 ) , ILL GIVE BRAINLIST
2 answers:
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Answer:
A. <em>[0, 65]</em>
Step-by-step explanation:
Given that
Distance that Marcus drives every day = 32 miles.
The table having average speed as input and time taken as output is shown below in the table format:
To find:
The domain that includes all possible average speeds using interval notation = ?
Solution:
First of all, let us understand what is a domain of a function.
Domain of a function is set of valid input values that can be provided to the function so that it has a valid output.
If a function is written as:
then values of
are the input given to the function.
In the given question statement, we are given that maximum Average speed attained by Marcus is 65 miles per hour.
That means domain has a maximum value of 65.
Let us learn something about interval notation.
( or ) means the value is not inclusive.
[ or ] means the value is inclusive.
Here 65 will be inclusive.
On the left side of comma, lower value is written and on the right side of comma, larger value is written.
So, domain for the current situation will be:
<em>[0, 65]</em>
<em></em>
0 is taken as the minimum value of domain here, because average speed value can not be negative.
This interval will contain all the possible values of input (average speed) as shown in the above table of values.
Answer:
18 years
Step-by-step explanation:
The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by
Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03
We can rearrange the above equation to:
Taking logs on both sides
This gives
In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075
1 + r/n = 1+0.0075 = 1.0075
4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72
t = 72/4 = 18 years