Week 8: FINAL EXAM REVIEW (No Extension) MATH 115, section B10, Fall 2018
Instructor: Ethan Smith
Current Score : Due : Friday, October 19 2018 11:59 PM EDTLast Saved : n/a Saving...
1. 0.11/0.11 points | Previous AnswersAufExc4 11.2.039.
An amount of $1600 is deposited for 8 years in an account that earns 9% interest. (Round your answers to two decimal places.)
(a) Calculate the simple interest earned.
$ 1152
(b) Calculate the interest earned if interest is compounded daily.
$ 1686.80
(c) How much more interest is earned on the account when the interest is compounded daily?
$ 534.80
2. 0.11/0.11 points | Previous AnswersAufExc4 11.2.019.
Calculate the future value. (Round your answer to two decimal places.)
P = $24,000, r = 9% compounded monthly, t = 8 years
$ 49174.11
3. 0.11/0.11 points | Previous AnswersAufExc4 11.2.006.
Calculate the compound amount. Use the compound amount formula and a calculator. (Round your answer to two decimal places.)
P = $8900, r = 8% compounded monthly, t = 3 years
$ 11305.11
4. 0.11/0.11 points | Previous AnswersAufExc4 3.2.039.
Make use of one of De Morgan's laws to write the given statement in an equivalent form.
She did not visit France and she did not visit Italy.
She did not visit France if she did not visit Italy.
She did not visit France if and only if she did not visit Italy.
She did not visit either France or Italy.
She visited France and she visited Italy.
She did not visit France or she did not visit Italy.
,5. 0.11/0.11 points | Previous AnswersAufExc4 3.1.043.
Write the sentence in symbolic form. Use p, q, r and s as defined below.
p: Stephen Curry is a football player.
q: Stephen Curry is a basketball player.
r: Stephen Curry is a rock star.
s: Stephen Curry plays for the Warriors.
If Stephen Curry plays for the Warriors, then he is a basketball player and he is not a football player.
(s → q) ∨ (s → ~p)
s → ~(q ∨ p)
(s ∨ p) → ~p
s → (q ∨ ~p)
s → (q ∧ ~p)
6. 0.11/0.11 points | Previous AnswersAufExc4 3.4.001.
Write the statement in "If p, then q" form.
We will be in good shape for the ski trip provided we take the aerobics class.
If we take the aerobics class, then we will be in good shape for the ski
trip.
We are in good shape for the ski trip and we take the aerobics class.
If we are not in good shape for the ski trip, then we take the aerobics
class.
We are in good shape for the ski trip if and only if we take the aerobics
class.
If we are in good shape for the ski trip, then we take the aerobics class.
, 7. 0.11/0.11 points | Previous AnswersAufExc4 1.1.035.
Find a counterexample to show that the statement is false. (Select all that apply.)
x3 ≥ x
none of these
0<x<1
-1 < x < 0
1<x
x < -1
x≤1
8. 0.11/0.11 points | Previous AnswersAufExc4 7.8.021.
Consider the figures below.
(a) Rank, from largest to smallest, the similarity dimensions of the Sierpinski carpet; the Sierpinski carpet, variation 1; and the
Sierpinski carpet, variation 2.
variation 1, Sierpinski carpet, variation 2,
Sierpinski carpet, variation 2, variation 1
Sierpinski carpet, variation 1, variation 2
variation 2, Sierpinski carpet, variation 1
variation 1, variation 2, Sierpinski carpet
(b) Which of the three fractals is the most dense?
the Sierpinski carpet
variation 1
variation 2