Two sides of a triangular plot of land measure 510 ft and 237 ft and the angle between them is 78.1 ° a. If the land is $ 5500 per acre, what is the cost for this plot? Round to the nearest dollar and use the fact that 1 acre is 4840 yd 2 . b. If materials for a chain-link fence cost $ 4.20 per linear foot, what is the cost to completely enclose the property? Round to the nearest dollar.
Two sides of a triangular plot of land measure 510 ft and 237 ft and the angle between them is 78.1 ° a. If the land is $ 5500 per acre, what is the cost for this plot? Round to the nearest dollar and use the fact that 1 acre is 4840 yd 2 . b. If materials for a chain-link fence cost $ 4.20 per linear foot, what is the cost to completely enclose the property? Round to the nearest dollar.
Solution Summary: The author calculates the cost of the triangular plot if the land is 5500 per acre.
Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
There are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and
use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three
investment?
STEP 1: The formula for compound interest is
A =
nt
= P(1 + − − ) n²,
where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to
A = Pert
Find r and n for each model, and use these values to write A in terms of t for each case.
Annual Model
r=0.10
A = Y(t) = 1150 (1.10)*
n = 1
Quarterly Model
r = 0.10
n = 4
A = Q(t) = 1150(1.025) 4t
Continuous Model
r=0.10
A = C(t) =…
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