Write the decimal as a fraction or mixed number in simplest form.
1 answer:
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Answer:
He earns $0.24 in interest after 1 day.
Step-by-step explanation:
Compound interest:
In which:
P is the principal, the amount of the initial deposit.
r is the yearly interest rate, as a decimal.
n is the number of compoundings during a year.
t is the number of years.
In this question:
Deposit of $1,750, so P = 1750.
Interest rate of 5%, so r = 0.05.
Compounded daily. A year has 365 days, so n = 365.
After 1 day. 1 day is 1/365 of an year, so t = 1/365.
The amount he will have after one day will be:
The interest earned will be:
Amount after 1 day subtracted by the deposit.
Deposit of $1,750.
After 1 day, he will have $1,750.24.
1750.24 - 1750 = 0.24
He earns $0.24 in interest after 1 day.
Answer:
Explanation:we will solve this question with help of linear programming.
Now, let Ben goes x times in buffalo trip and goes y times in Philadelphia trip. Thus, according to the question, Min Z= 180x+300y
And s.t.r. 2x+3y≤105, where x≥5, y≥15.
since at (0,0) 0≤105(true), so area of 2x+3y≤105 will cover the origin.
But, 0≥5 and 0≥15 are false, so their area will not cover the origin.
Thus, after drawing the graph of these three lines we will get a feasible reason of triangle ABC, where point A≡(5,31.667), B≡(5,15), and C≡(30,15)
Z at A- 180×5+300×31.667=10,400.1
at B-180×5+300×15=1350( which is minimum.)
at C- 180×30+300×15=5,850
Thus, Ben should go 5 times to buffalo trip and 15 times to Philadelphia to minimize his cost which is $1350.
