Answer:
x < 2
Step-by-step explanation:
Given
10x > 8(3x - 2) - 12 ← distribute parenthesis on right side
10x > 24x - 16 - 12, that is
10x > 24x - 28 ( subtract 24x from both sides )
- 14x > - 28
Divide both sides by - 14, reversing the inequality symbol as a result of dividing by a negative quantity.
x < 2
Answer:
2 kg
Step-by-step explanation:
15/100 x = 0.3
x = 0.3 * 100/15
x = 2
B shows her getting closer to home, immediately turning round, gives time for finding book then riding all the way home at a constant speed
The total cost curve shows the cost of total shipment from the different
cities.
- a. Please find attached the graph of the total cost to quantity of shipment created with MS Excel.
- b. The city that provides the lowest overall cost is; <u>Salt Lake City</u>.
Reasons:
The given parameters are;
The number of shipment per = From 550,000 to 600,000 per year
The given table is presented as follows;
![\begin{tabular}{|l|c|c|c|}Location&Annual Fixed Costs&Variable Cost \\Denver&\$5,000,000&\$4.65 \\Santa Fe&\$4,200,000&\$6.25\\Salt Lake City&\$3,500,000&\$7.25\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%7B%7Cl%7Cc%7Cc%7Cc%7C%7DLocation%26Annual%20Fixed%20Costs%26Variable%20Cost%20%5C%5CDenver%26%5C%245%2C000%2C000%26%5C%244.65%20%5C%5CSanta%20Fe%26%5C%244%2C200%2C000%26%5C%246.25%5C%5CSalt%20Lake%20City%26%5C%243%2C500%2C000%26%5C%247.25%5Cend%7Barray%7D%5Cright%5D)
a. Required:
The plot total cost curve for the locations on a single graph.
Solution:
- Please find attached the graph of the total cost curves created with MS Excel
b. Required:
The city that provides the lowest overall cost.
Solution:
The two cities with the lowest overall costs are Denver and Salt Lake City.
- From the total cost curve, the area under the curves are;
Area under the curve for Denver;
(7557500 + 7790000) ÷ 2 × 50,000 = 383687500000
Area under the curve for Salt Lake City
(7487500 + 7850000) ÷ 2 × 50,000 = 383437500000
Therefore;
- <u>Salt Lake City provides the lowest overall costs</u>.
Learn more about total cost curves here:
brainly.com/question/4888738
For this case we have the following function:
f (x) = 7,400,000 (1,054) ^ x
Where,
x represents time in years.
Substituting f (x) = 15000000 we have:
15000000 = 7,400,000 (1,054) ^ x
Clearing x we have:
(1,054) ^ x = (15000000) / (7400000)
log1.054 ((1.054) ^ x) = log1.054 ((15000000) / (7400000))
x = log1.054 ((15000000) / (7400000))
x = 13.4 years
Rounding to the nearest year:
x = 14 years
Answer:
the population will reach 15,000,000 in 2014.