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Answer:
l(n) = 80n + 520
Step-by-step explanation:
From the information given in the question, there is a relationship between the number of new policy sold, n, and earning, I
For 3 new policies, he earned $760
For 5 new policies, he earned $920.
The rate of change of IIya's earning with respect to number of new policy sales is
m = $160 / 2 policies
m = $80 / policy
The linear equation for the relationship is;
l(n) = mn + b
I(n) is Ilya’s weekly income which is a function of the number of new policies, n
m is the rate of change of I with respect to n
n is the number of new policies,
b is the intial function which is IIya's income when n equals zero
Recall, Ilya earns a commission of $80 for each policy sold during the week. (m = $80 per policy)
l(n) = 80n + b
To complete the relationship l, we need to calculate the initial value b.
For 3 new policies, he earned $760,
760 = 80(3) + b
760 = 240 + b
b = 760 - 520
b = 520
The final equation is l(n) = 80n + 520
From the final equation, we can deduce that Ilya’s weekly salary is $520 and he earns an additional $80 commission for each new policy sold.
Given:
The tens digit of a two digit number is 5 greater the units digit.
If you subtract double the reversed number from it, the result is a fourth of the original number.
To find:
The original number.
Solution:
Let n be the two digit number and x be the unit digit. Then tens digit is (x+5) and the original number is:
Reversed number is:
If you subtract double the reversed number from it, the result is a fourth of the original number.
Multiply both sides by 4.
Divide both sides by 55.
The unit digit is 2. So, the tens digit is .
Therefore, the original number is 72.