The answer is 21/6
Explanation: the next number in the pattern would be 21 since this is linear
You just started a new job with a salary of $37,440 a year ($18 an hour).
With an expected rent payment of 25% - 30% of your gross monthly income, find 5 apartments
that you can choose from in any city or town in The United States. Your move in date is on June
12th. 2022.
Answer the following questions:
1. What is your rental range per month (up to 30% of your gross monthly income)
2. What amenities do you want/need (# of bedrooms/ bathrooms, washer/dryer, pets
allowed etc....)
3. List your 5 apartments, with cost of rent.
4. Of the 5, which one did you choose? Why?
5. What would be the total move in cost (application fee, security deposit, prorated rent)?
Answer:
We can find if a critical point is a local minimum or maximum by looking at the second derivatives.
Step-by-step explanation:
If you take the first derivative, you will find the slope at the given point, which if it is a minimum or a maximum will be 0.
Then we take the second derivative. If that number is a positive number, then we have a local minimum. If it is a negative number, then it is a local maximum.
Answer:
a. 35 degrees
b. 145 degrees
Step-by-step explanation:
a. Since the two base angles of this triangle are congruent, we can conclude that the triangle is <em>isosceles, </em>which means that the two base angles and sides are congruent.
Now, knowing that information, we can subtract 110 from 180 (the sum of all interior angles in a triangle) and we get 70. But this isn't our answer. This is the sum of both base angles. Since the base angles are congruent, we can divide the 70 by 2 to get the measure of ONE base angle, which is 35 degrees.
b. There are two approaches to solve this problem. I have worked both out.
1) We can use the Exterior Angle Theorem, which states that the sum of the interior angles is equal to the exterior angle. We can add 110 to 35, so we get 145 degrees as the measure of <1.
2) The second approach is supplementary angles. Since we see that one of the base angles and <1 is on the same line, we can subtract 35 from 180 to find the measure of <1 to get 145 degrees.
Either way you use, you get the correct answer. Hope this helped!
Assume the first even integer is x.
The next even integer will be 2 digits after this digit. So the next even integer will be x+2.
The reciprocals of these two even integers can be written as

and

respectively.
The sum of their reciprocals is 7/24. So we can set up the equation as:

Taking LCM on left hand side:

Cross Multiplying the denominators:

Using the quadratic formula to solve the above equation:

Since, the value of x can only be an integer, we discard the fractional value and keep x=6
So the first even integer is 6 and the next even integer is 8. The sum of reciprocals of 6 and 8 is 7/24