ince the problem is only asking for 4 years, we can just calculated it out year by year. Recall the formula for compounding interest: A = P(1+r)n, where A is the total amount, P is the principle (amount you start with), r is the interest rate per period of time, and n is the number of periods (in this case, r is annual interest rate, so n is number of years). At the beginning (Year 0), Lou starts off with 10000: A = 10000 At the end of Year 1, Lou earned interest on that amount, plus he has deposited another 5000: A = 10000(1.08) + 5000 End of Year 2, Lou's interest from the year 0 amount has compounded, he has started earning interest on the amount deposited last year, and he deposits another 5000: A = 10000(1.08)2 + 5000(1.08) + 5000 End of Year 3, same idea. Lou has earned compounding interest on all existing deposits, and deposits another 5000: A = 10000(1.08)3 + 5000(1.08)2 + 5000(1.08) + 5000 End of Year 4, same idea: A = 10000(1.08)4 + 5000(1.08)3 + 5000(1.08)2 + 5000(1.08) + 5000 = 36135.45
49.5ft
Step-by-step explanation:
the entire perimeter is 2*pi*R for the angle 2*pi = 8pi/4
7pi/4 is 7/8 of the entire perimeter. R = 9 ft
the arc length is 7/8 * 2pi*R = 7pi/4 * R = 49.5 ft
Answer:
The restriction that would be made to the range is; the amount of money spent on lunch is less or equal to 5 dollars.
Step-by-step explanation:
The range in this case refers to the possible values the function may assume. Since 5 dollars is spent everyday then the constraint imposed on the amount of money spent for lunch would be as given above. This is because the individual can only spend up to 5 dollars on lunch each day since this is the amount available for daily expenditure.
B and c they are both 11 units of absolute value away from zero
Answer:
A)t=9w+25. T=12w+10
Step-by-step explanation:
Equation for you:
t = 25 + 9w
Equation for friend:
t = 10 + 12w