Find the number in the form x3579x that is divisible by 42.

Numerical values for the first "x" would include the integers 1-9. The "grunt" method here would be to divide 13579x by 42, then 23579x by 42, and so on, to determine whether or not a value of x can be found that results in NO remainder. Let's assume that "x" has the same value at the end of each "x3479x as it does in the beginning:

135791

235792

335793

and so on.

Note immediately that x must be an even digit, since no multiple of 42 results in an odd final digit to x3479x.

Thus, from x=1 through 9, we eliminate 1, 3, 5, 7, 9 and investigate x = 2, 4, 6, 8.

Does 42 divide into 235792 without a remainder? No.

Does 42 divide into 435794 without a remainder? No.

Does 42 divide into 635796 without a remainder? Yes. The quotient is 15138.

So: the desired number is 635796, and 42 / 635796 = 15138.

Haven't seen this one on yet.

x3579x = 100000 x + 35790 + x

100000 = 2380 × 42 + 40

35790 = 852×42 + 6

Working mod 42,

So basically we need 6-x to be a multiple of 42, so between 0 and 9 that's x=6.

So our number is

635796 = 15138 × 42

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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.