Letter A is right
Explanation: best of luck
The range of y=e^x+1 is y>1.
The Present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt)/(r/t)
where: P is the monthly payment, r is the annual rate = 7% = 0.07, t is the number of periods in one year = 12 and n is the number of years = 3.
18,000 - 6,098 = P(1 - (1 + 0.07/12)^-(3 x 12)) / (0.07/12)
11,902 = P(1 - (1 + 0.07/12)^-36) / (0.07/12)
P = 0.07(11,902) / 12(1 - (1 + 0.07/12)^-36) = 367.50
Therefore, monthly payment = $367.50
➻ In a group of 40 people, 27 can speak English and 25 can speak Spanish.
➻ The required number of people who can speak both English and Spanish .
<u>Consider</u> ,
➻ A → Set of people who speak English.
➻ B → Set of people who speak Spanish
➻ A∩B → Set of people who can speak both English and Spanish
➻ n(A∪B) = n(A) + n (B) - n(A∩B)
➻ 40 = 27 + 25 - n (A∩B)
➻ 40 = 52 - n (A∩B)
➻ n (A∩B) = 52 - 40
➻ ∴ n (A∩B) = 12
∴ Required Number of persons who can speak both English and Spanish are <u>12 .</u>
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➻ n(A∪B) = n(A) + n (B) - n(A∩B)
➻ 40 = 27 + 25 - 12
➻ 40 = 52 - 12
➻ 40 = 40
➻ ∴ L.H.S = R.H.S
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10d+ 25q+5n= 805
D= n+8
Q= n+ 5
10d+ 25q+5n= 805
10(n+8)+25(n+5)+5n=805
10n+80+25n+125+5n=805
40n+205=805
40n=805-205
40n= 600
N=600/40
N= 15
D= n+8
D= 15+8
D= 23
Q=n+5
Q=15+5
Q=20
So 15 nickels ,23 dimes and 20quarters .
To check
15(0.05)= $0.75
23(0.10)=$2.30
20(0.25)=$5.00
Add it
5.00+2.30+0.75=8.05
7.30+.75=8.05
8.05=8.05