Answer:
(2x+3)(x-7)
Step-by-step explanation:
✯Hello✯
↪ First you are going to want to equally split the equation into separate brackets - I've done this as (2x^2+3)+(-14x-21)
↪ Further factorise this x(2x+3)
↪ From the other bracet factor -7(2x+3)
↪ they have a common term in which we can use to make new brackets
(2x+3)(x-7)
HOPE THIS HELPS
❤Gianna❤
(a)The amount of people that went on the escalator is given by the integral
270 people enter the elevator <span>during the time interval 0 ≤ t ≤ 300
</span>You can save time by just writing that and getting an answer from your calculator. You are not expected to write out the entire integrand. Since this is for 0 ≤ t ≤ 300, you would be typing this integral into your calculator
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(b)
There are 80 people at time t = 300
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(c)Since there are 80 people at time t = 300 and r(t) = 0 for t > 300, the rate of people in line is only determined constant exiting rate of <span>0.7 person per second. The amount of people in line is linear for t > 300.
This is for t > 300, so
The first time t is approximately t = </span><span>414.286</span>
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(d)The absolute minimum will occur at a critical point where r(t) - 0.7 = 0 or at an endpoint.
By graphing calculator,
If
represents the amount of people in line for 0 ≤ t ≤ 300, then
P(0) = 20 people (given)
P(33.013) ≈ 3.803
P(166.575) ≈ 166.575
P(300) = 80
Therefore, at t = 33.013, the number of people in line is a minimum with 4 people.
Answer:
10.63.
Step-by-step explanation:
First we need to understand pythagorean theorem that is,
Hypotenuse^2=perpendicular^2+base^2.
=7^2+8^2.
=49+64
=113.
Hypotenuse^2=113.
Square root both sides.
Hypotenuse=10.63.
Answer:
Interest earned: 343.75
Balance at maturity: 2843.75
Step-by-step explanation:
simple interest formula
P(1+it)
interest earned:
(interest earned is the ending balance minus the beginning balance)
2500(1+.055*(30/12))-2500= 343.75
Balance at maturity
2500(1+.055*(30/12))= 2843.75
(another way to solve this part is to just add 343.75 (the interest earned) to the beginning balance)
Answer:
The new price is $36
Find 20% of $30 and add it on.
20% of $30
= 20/100 * 30/1
= $6
30 + 6 = 36