How many positive three-digit integers are multiples of 6?

(b) what is the probability that a randomly chosen positive three-digit integer is a multiple of 6?

(c) what is the probability that a randomly chosen positive three-digit integer is a multiple of 7?

Answer with Step-by-step explanation:

a.Three digit number which is multiple of 6

102,108,...996

a=102,

d=108-102=6

It is an A.P because the difference between two consecutive terms is constant.

nth term of A.P is given by

Substitute the values then we get

Numbers of positive three-digit integers which are multiple of 6=150

b.Three digits number lying between 100 and 999 therefore,

Total three digit positive integers=

Probability,P(E)=

The probability that a random chosen positive three- digit integer is a multiple of 6=

c.Positive integers of multiply of 7 are

105,112,119,....,994

d=112-105=7

Using nth term of A.P formula

The probability that a random chosen positive three digit integer is a multiple of 7=

2

step-by-step explanation:

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.