Given
Present investment, P = 22000
APR, r = 0.0525
compounding time = 10 years
Future amount, A
A. compounded annually
n=10*1=10
i=r=0.0525
A=P(1+i)^n
=22000(1+0.0525)^10
=36698.11
B. compounded quarterly
n=10*4=40
i=r/4=0.0525/4
A=P(1+i)^n
=22000*(1+0.0525/4)^40
=37063.29
Therefore, by compounding quarterly, she will get, at the end of 10 years investment, an additional amount of
37063.29-36698.11
=$365.18
Let x = number of adult tickets, and y = number of children tickets. One equation must deal with the number of tickets, and the other equation must deal with the revenue from the tickets.
Then x + y = 300 is the number of tickets
12x + 8y = 3280 is the revenue from the tickets.
Using the substitution method:
x + y = 300 ⇒ y = 300 - x ⇒ Equation (3)
12x + 8y = 3280 ⇒ 12x + 8(300-x) = 3280 ⇒ x = 220
y = 300 - x ⇒ y = 300-220 ⇒ 80
Therefore 220 adult tickets and 80 children's tickets were sold.
The tangent of an angle is the ratio of the opposite side to the adjacent side.
... tan(45°) = (height above eye level)/(20 m)
... height above eye level = (20 m)·tan(45°) = (20 m)·1 = 20 m
_____
Eye level is 1.7 m above ground, so the height of the flagpole above ground is
... height of pole = height above eye level + height of eye level
... height of pole = 20 m + 1.7 m = 21.7 m
Given:
Payee: Vanderbilt Corporation
Notes Receivable from Stanford Company
<span>$12,000, 7%, 8-month
Debit Credit
October 1, 2016
Notes Receivable 12,000
Cash 12,000
*to record notes receivable from Stanford Company
December 31, 2016
Interest Receivable 560
Interest Income 560
12,000 * 7% * 8/12 = 560
*to recognize interest earned but not yet received
June 1, 2017
Cash 12,560
Notes Receivable 12,000
Interest Receivable 560
*to recognize full payment on note.</span>
This problem is easier solved by finding the probability that she does NOT do her homework both Monday and Tuesday, which is obtained by the multiplication rule.
P(no HW on Monday) = 1-0.75 = 0.25
P(no HW on Tuesday) = 1-0.75 = 0.25
P(no HW on both Monday and Tuesday) = 0.25*0.25=0.0625
[by the multiplication rule]
This means that the rest of the time (1-0.0625=0.9375) Elsie does her homework either Monday, or Tuesday, or both days.
=>
P(HW either Monday, Tuesday, or both) = 0.9375
(note: in current English, Monday or Tuesday means "either Monday, Tuesday, or both days")
