Answer:
The answer is D
Step-by-step explanation:
The sum of probability for an event happening and not happening must be equal to 1 because there is a 100% chance that one or the other will occur.
So the probability on not drawing a quarter:
P(!Q)=1-4/5
P(!Q)=5/5-4/5
P(!Q)=1/5
As a percentage:
p/100=1/5
p=100/5
p=20%
To find the cost per yard, divide the cost by the amount:
p: 6.25 / 6.5 = 0.96 --> The cost per yard is $0.96
r: 3 /4 = 0.75 --> The cost per yard is $0.75
b: 8.1 /8.5 = 0.95 --> The cost per yard is $0.95
s: 7.2 / 6 = 1.2 --> The cost per yard is $1.20
In order from cheapest to most expensive:
Red
Brown
Purple
Silver
Hope this helps.
1) Surface Area = 2(lw + lh + wh)
2(4*5+4*9+5*9) =202in^2
Surface Area=202in^2
Lateral Area= Perimeter of base * height
5+5=10 <--width+width
4+4=8 <---length + length
10+8=18 <--total perimeter
18 * 9=162in^2 <--multiplied the height +perimeter of base
Lateral Area=162in^2
2) Same concept as the previous one
Surface Area = 2(lw + lh + wh)
2(4*2+4*5+5*2) =76in^2
Surface Area= 76in^2
Lateral Area
Lateral Area= Perimeter of base * height
4+4=8
2+2=4
8+4=12
12 x 5=60
Lateral Area= 60in^2
The question is an annuity question with the present value of the annuity given.
The
present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt) /
(r/t) where PV = $61,600; r = interest rate = 9.84% = 0.0984; t = number
of payments in a year = 6; n = number of years = 11 years and P is the
periodic payment.
61600 = P(1 - (1 + 0.0984/6)^-(11 x 6)) / (0.0984 / 6)
61600 = P(1 - (1 + 0.0164)^-66) / 0.0164
61600 x 0.0164 = P(1 - (1.0164)^-66)
1010.24 = P(1 - 0.341769) = 0.658231P
P = 1010.24 / 0.658231 = 1534.78
Thus, Niki pays $1,534.78 every two months for eleven years.
The total payment made by Niki = 11 x 6 x 1,534.78 = $101,295.48
Therefore, interest paid by Niki = $101,295.48 - $61,600 = $39,695.48
