Answer:
27 years
Step-by-step explanation:
Given that :
Town A:
Initial population = 14280
Rate = increase by 160 per year
Let t = time in years
Population is thus :
14280 + 160t - - - (1)
Town B:
Initial population = 24000
Rate = decrease by 200 per year
P = 24000 - 200t - - - (2)
Equate both equations :
14280 + 160t = 24000 - 200t
160t + 200t = 24000 - 14280
360t = 9720
t = 9720 / 360
t = 27
In 27 years
2.0612439*10^7 should be your answer
Answer:
Speedy Taxis
Step-by-step explanation:
I solved this by using a graphing calculator. Speedy Taxis shows the least cost for x=30.
__
You can figure the cost of each for x=30
1.5(30) = 45
1.1(30)+11.5 = 33+11.5 = 44.5 . . . . . lowest cost
1.25(30)+8 = 37.5+8 = 45.5
Speedy Taxis is the cheapest for a trip of 30 miles.
Answer: She should blend 98 lbs of high-quality beans.
She should blend 72 lbs of cheaper beans
Step-by-step explanation:
Let x represent the number of pounds of high quality beans that she should blend.
Let y represent the number of pounds of cheaper beans that she should blend.
She needs to prepare 170 lbs of blended coffee beans. This means that
x + y = 170
She plans to do this by blending together a high-quality bean costing $4.75 per pound and a cheaper bean at $2.00 per pound. The blend would sell for $3.59 per pound. This means that the total cost of the blend would be 3.59×170 = $610.3. This means that
4.75x + 2y = 610.3 - - - - - - - - - -1
Substituting x = 170 - y into equation 1, it becomes
4.75(170 - y) + 2y = 610.3
807.5 - 4.75y + 2y = 610.3
- 4.75y + 2y = 610.3 - 807.5
- 2.75y = - 197.2
y = - 197.2/-2.75 = 71.9
y = 72 pounds
x = 170 - y = 170 - 71.9
x = 98.1
x = 98 pounds
