For Exercises 59-60, find the lengths of the sides to the nearest tenth of a unit and the measures of the angles to the nearest tenth of a degree if necessary. ∠ A D C = ______ ∠ A D B = ______ ∠ B C D = ______ B C = ______ A C = ______ A D = ______ B D = ______ A B = ______
For Exercises 59-60, find the lengths of the sides to the nearest tenth of a unit and the measures of the angles to the nearest tenth of a degree if necessary. ∠ A D C = ______ ∠ A D B = ______ ∠ B C D = ______ B C = ______ A C = ______ A D = ______ B D = ______ A B = ______
Solution Summary: The author calculates the lengths of the sides to the nearest tenth of a unit, the measures of angles, and the sum of all the angles.
For Exercises 59-60, find the lengths of the sides to the nearest tenth of a unit and the measures of the angles to the nearest tenth of a degree if necessary.
∠
A
D
C
=
______
∠
A
D
B
=
______
∠
B
C
D
=
______
B
C
=
______
A
C
=
______
A
D
=
______
B
D
=
______
A
B
=
______
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) =…
Use a graphing utility to find the point of intersection, if any, of the graphs of the functions. Round your result to three decimal places. (Enter NONE in any unused answer blanks.)
y = 100e0.01x
(x, y) =
y = 11,250
×
Elementary Statistics: Picturing the World (7th Edition)
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