Short Answer D
P(1) = 1(1+1)(2*1 + 1)/6
P(1) = 1(2)(2 +1) / 6
P(1) = 1(2)(3)/6
P(1) = 1
P(2) = 2(2+1)(2*2 + 1) / 6
P(2) = 2(3)(5) / 6
P(2) = 5 So this formula is adding as it goes along. To Find the Total all we need do is use the formula to calculate P(1) to P(7)
P(7) = 7*(7 + 1)(2*7 + 1)/6
P(7) = 7 * 8 * 15 / 6
P(7) = 7 * 4 * 5
P(7) = 140 <<<< Answer
Answer:
All of them are equal to 2.427
Step-by-step explanation:
A = 2.427
B = 2.427
C = 2.427
D = 2.427
Leg A squared + leg B squared = Hypotenuse Squared
You are given the hypotenuse, which is 14.
Leg a = <span>7√2
</span>
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Answer:
960
Step-by-step explanation:
The simple interest formula is the following:
I = P*r*t
Where I is the interest generated after t years, P is the inicial value and r is the rate of interest.
In this case, we have that the inicial value is P = 4000, the rate of interest is r = 8% = 0.08 and the amount of time invested is t = 3 years.
So, the interest will be:
I = 4000*0.08*3 = 960
Constant rates are used to illustrate linear functions.
- The average rate of change is $9.0 per hour
- The function that models the table is:

- The amount earned in 7.5 hours is $67.5
<u>(a) The average rate of change</u>
This is calculated using:

So, we have:



Hence, the average rate of change is $9.0 per hour
<u>(b) A function that models the table of values</u>
Let x represent hours, and y represent the earnings.
So, we have:

Where:
m =Rate = 9.0
So, we have:

Expand


Represent as a function

Hence, the function that models the table is: 
<u>(c) Amount earned for 7.5 hours</u>
This means that x = 7.5
So, we have:


Hence, the amount earned in 7.5 hours is $67.5
Read more about constant rates at:
brainly.com/question/23184115