Answer:
325 and 375 mph
Step-by-step explanation:
Given :
Distance between plane A and B = 2800
Recall :
Distance = speed * time
Let speed of A = v1
Speed of B = v2
v1 = v2 + 50
Time taken = 4 hours
Distance = speed * time
Total distance = 2800
2800 = v1 * 4 + v2 * 4
2800 = (4v1) + (4v2)
2800 = 4(v2+50) + 4v2
2800 = 4v2 + 200 + 4v2
2800 = 8v2 + 200
2800 - 200 = 8v2
2600 = 8v2
v2 = 2600/8
v2 = 325 mph
v1 = v2 + 50
v1 = 325 + 50
v1 = 375 mph
Given parameters:
Midpoint of AB = M(3, -1)
Coordinates of A = (5,1)
Unknown:
Coordinates of B = ?
Solution:
To find the mid point of any line, we use the expression below;
and 
where 
and 
= coordinates of the mid points = 3 and -1
x₁ = 5 and y₁ = 1
x₂ = ? and y₂ = ?
Now let us input the variables and solve,
3 = 
and -1 = 
5 + x₂ = 6 -2 = 1 + y₂
x₂ = 1 y₂ = -2 -1 = -3
The coordinates of B = 1, -3
Step-by-step explanation:
I can't see good the picture
Answer:
A. $3,984
Step-by-step explanation:
The amount of interest is computed from ...
I = Prt
For the given values, the interest is ...
I = $3600×0.08×(16/12) = $384
Then the total amount that needs to be repaid is ...
Principal + Interest = $3600 +384 = $3,984
_____
The time period is 16 months, so is 16/12 years.
The time periods of the interest rate and "t" in the formula must match. If the interest rate is an annual rate, then "t" is in years. If the interest rate is a monthly rate, then "t" is the number of months.
Answer:
Calving earning = 4400
Betty earning = 9400
Albert earning = 4700
Donna = 8800
Step-by-step explanation:
Given that :
Calving earning = c
Betty earning = c + 5000
Albert earning = (c + 5000) /2
Donna = 2c
c + 5000 + (c + 5000) /2 = 900 + c + 2c
c + 5000 + 0.5c + 2500 = 900 + 3c
1.5c + 7500 = 900 + 3c
7500 - 900 = 3c - 1.5c
6600 = 1.5c
c = 6600 / 1.5
c = 4400
Calving earning = c = 4400
Betty earning = 4400 + 5000 = 9400
Albert earning = (4400 + 5000) /2 = 4700
Donna = 2(4400) = 8800
