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lesantik [10]
3 years ago
12

If k ^1/3= integer and k ^1/2= integer, which is a possible valued for k?

Mathematics
1 answer:
vesna_86 [32]3 years ago
3 0

Answer:

The possible value of k is 64

Step-by-step explanation:

Integers are whole numbers, example, 1, 2, 3 , 4, 5, 6, 7, 8, 9, etc

Given;

k ^1/3 = integer and

k ^1/2 = integer

To solve this, we think of a number whose cube root (k ^1/3) is a whole number (integer) and square root (k ^1/2) is also a whole number (integer).

This number is 64

Check:

(64)^1/3 = 4 (4 is an integer)

(64)^1/2 = 8 (8 is an integer)

Therefore, the possible value of k is 64

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<h3 /><h3>First Month</h3>

To solve this problem, we need to find the interest on 3287.90 at 14.5%

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<h3>Second Month</h3>

We would do the same thing for the second month and it will give us

(\frac{x}{2127.63}=\frac{14.5}{100})/12\\\frac{308.506}{12}=25.71

For the second month, we have $25.71 as the interest payable

We can calculate how much would be left after the second month.

(2127.63+25.71)-1200=953.34

<h3 /><h3>Third Month</h3>

In the third month, since the balance remaining is less than the monthly payment schedule, we can assume they'd pay everything off which is 953.34.

From the calculations above, we can see that it'll take them 3 months to pay off the credit card balance.

The balance at the end of each month are;

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