Given that the coordinates of the point A is (2,7) and the coordinates of the point B is (6,3)
We need to determine the midpoint of A and B
Midpoint of A and B:
The midpoint of A and B can be determined using the formula,
Substituting the points (2,7) and (6,3) in the above formula, we get;
Adding the numerator, we have;
Dividing the terms, we get;
Thus, the midpoint of the points A and B is (4,5)
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<em><u>The least amount of money you would need to invest per month is; $335</u></em>
<em><u>The anticipated rate of return on your investments is; 7%</u></em>
<em><u /></em>
- Amount to have been saved at the end of 10 years ≥ $40,000
Number of years of savings = 10 years.
- We want to find out the least amount to be invested per month.
There are 12 months in a year. Number of months in 10 years = 10 × 12 = 120 months.
- Thus, amount to be saved monthly = 40000/12 = $333.33
- Since the minimum amount he wants to save after 10 years is $40000, then we need to approximate the monthly savings in order.
Thus;
Monthly savings ≈ $335
- Now, for the anticipated rate of return on the investment, we know from S & P's that the benchmark on good rate of return for investment is a minimum of 7%.
- From online calculator, the worth of the investment after 10 years based on 7% rate of return yearly would be $57626.
Read more at; brainly.com/question/9187598
Answer:
The volume of the cone is;
100 π inches^3
Step-by-step explanation:
To calculate the volume, we need the height
We can get the height from the slant height and the radius
Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle
The right-angled triangle has the slant height as its hypotenuse
By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
Let the height be h
Thus;
12^2 = 5^2 + h^2
169= 25 + h^2
h^2 = 169-25
h^2 = 144
h = √1144 inches = 12 inches
The volume of the cone is;
1/3 * π * r^2 * h
= 1/3 * π * 5^2 * 12
= 100 π inches^3
Answer:
12 miles
Step-by-step explanation:
Alyssa takes part in the triathlon. She cycles 4/5 of the route, runs 1/8 of the route, and swims the rest of the way. She swims 0.9 miles. Find the total distance of the triathlon route.
Total distance Alyssa cycled and ran =
= 
Distance she swam = 1 - 37/40 = 3/40
3/40 of the distance is 0.9
the total distance = 40/3 x 0.9 = 12 miles
Answer:
273x
Step-by-step explanation:
-7x(-8²+25)
8²=64
-7x(-64+25)
-64+25=-39
-7x(-39)
-7×-39=273
273x
