Symbols The difference in speeds of El Toro and T Express is 5 miles per hour. If El Toro has the greater speed, write and solve
2 answers:
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Answer: 28 %
Step-by-step explanation:
Let, Initially,
V be the volume of construction work
r be the productivity of labor
n be the number of days
x be the number workers.
Thus, V = r × n × x ------------(1)
Now, According to the question,
The volume of construction work was increased by 60% but the productivity of labor increased by only 25%.
Therefore,
Final volume of the work = 160% of V = 1.6 V
Final productivity = 125% of r = 1.25 r
Also, the time is same in both conditions,
Final time taken = n
Let y be the number of people after changes.
Thus, 1.6 V = 1.25 r × n × y -----(2)
Dividing equation (1) by equation (2)
We get, y = 1.60 x/1.25
Thus, the changes in the number of workers
=
= 0.28 × 100
= 28 %
Answer:
The total amount to be paid for new home is $838,014.72
Step-by-step explanation:
Given as :
The price of the new house = $256,000
The down payment amount = 30% of house price
So, The down payment price = 30% of $256,000
i.e The down payment price = × 256000
Or, The down payment price = $76,800
Now, rest amount is finance
So, The finance Amount = p = $256000 - $76800 = $179,200
The rate of interest applied = r = 7.5%
The time period of finance = t = 20 years
Let The Amount after 20 years of finance = $A
Let The total amount to be paid for new home = $B
<u>Now, From Compound Interest </u>
Amount = Principal ×
Or, A = p ×
Or, A = $179,200 ×
Or, A = $179,200 ×
Or, A = $179,200 × 4.24785
∴ A = $761,214.72
So,The Amount after 20 years of finance = A = $761,214.72
<u>Now, Again</u>
The total amount to be paid for new home = Down payment amount + The Amount after 20 years of finance
Or, B = $76,800 + A
Or, B = $76,800 + $761,214.72
Or, B = $838,014.72
So, The total amount to be paid for new home = B = $838,014.72
Hence, The total amount to be paid for new home is $838,014.72 Answer