Answer:
The distance Conner walks each day is 10 miles
The distance Kevin walks each day is 7 miles
The distance John walks each day is 12 miles
Step-by-step explanation:
The question is a word problem
Let the number of miles Conner walks per day = x
The given inforf the totmation in the question are;
The distance Kevin walks per day = x - 3 miles
The distance John walks per day = x + 2 miles
In three days, the difference between the total distance John walks and the total distance Kevin walks is equal to half the total distance Conner walks
The number of miles each person walks per day is found as follows;
3×(x + 2) - 3×(x - 3) = 3·x/2
3·x + 6 - 3·x - (-9) = 3·x/2
3·x + 6 - 3·x + 9 = 3·x/2
3·x - 3·x + 6 + 9 = 3·x/2
0 + 6 + 9 = 3·x/2
15 = 3·x/2
x = 15×2/3 = 10 miles
x = 10 miles
Therefore, the distance Conner walks each day = 10 miles
The distance Kevin walks per day = (x - 3) miles = (10 - 3) miles = 7 miles
The distance Kevin walks per day = 7 miles
The distance John walks per day = (x + 2) miles = (10 + 2) miles = 12 miles
The distance John walks per day = 12 miles.
Answer:
Megan will pay $78 more than Joseph.
Step-by-step explanation:
Formula: Simple Interest = P x R x T
Megan Info
Simple interest paid by Megan = 50,000 x 0.05 x 6 = 15000
Total amount paid in 6 years = 50000 + 15000 = $65,000
Monthly payment by Megan (m) = 65000÷72 = $903
Joseph Info
Simple interest paid by Magan = 60,000 x 0.04 x 8 = 19200
Total amount paid in 8 years = 60000 + 19200 = $79,200
Monthly payment by Joseph (m) = 79200÷96 = $825
Now we find Difference of monthly payment
⇒Megan - Joseph
⇒ 903-825
⇒ $78
Thus, Megan will pay $78 more than Joseph.
Answer:
Megan will pay approximately $78 more per month.
Step-by-step explanation:
The value of the constant of proportionalityk is 1/9
It is defined as the relationship between two variables when the first variable increases the second variable also increases according to the constantfactor.
We have a proportional relationship is represented by the equation:
2x = 18y
After arranging the equation take the subject y
.....(1)
Comparing this equation to the equation y = kx
We will get the value of k which is the coefficient of x in the equation (1)
k = 1/9
Thus, the value of the constant of proportionalityk is 1/9
Learn more about the proportional here:
Answer: The answer is 152.25 sq units.
Step-by-step explanation: Given function to be integrated is
To find the area of the given curve from x = 2 to 5, first we need to integrate the function and we will put the boundary values and subtract the smallest from largest value.
The Riemann sum and the formula to find the area is given by
Thus, the required area is 152.25 sq units.
The area under the graph of the function from to is
Further explanation:
Given:
The function is
The function is defined in the interval from to
Explanation:
The given function is
Integrate the given function with respect x.
Further solve the above equation to obtain the area under the curve,
The area under the graph of the function from to is
Learn more
Answer details:
Grade: High school
Subject: Mathematics
Chapter: Riemann function
Keywords: Riemann, sum, area, graph function, Riemann sum, area under the curve, function,
2
4
Answer: The first term of the sequence is 4.
Step-by-step explanation:
Let a be the first term of the sequence,
Here, the common ratio of the sequence is 2,
Thus, the sequence is,
a, 2a, 4a, 8a, 16a, 32a, .............., so on,...
Since, the sixth term of the sequence = 32a
According to the question,
32 a = 128
⇒ a = 4
Thus, the first term of the sequence is 4.