First, let's figure out how much money Carter earns in 1 year. This is equal to 50,320*30 = 1,509,600, so Carter makes $1,509,600 in 30 years.
Next, we need to figure out how much money Janelle makes. We can do this two ways. We can figure out how many weeks are in 30 years, or we can figure out how much money Janelle makes in a year and then multiplying that name by 30. I will solve this problem in the second way.
In order to figure out how much money Janelle makes in a year, we do 950*52 = 49,400. Janelle makes 49,400 per year. Now, we multiply this number by 30 to see how much she makes in 30 years. 49,400*30 = 1,482,000. Janelle makes $1,482,000 in 30 years.
Now, we need to finish the problem. We do this by subtracting the amount of money that Janelle makes from the amount of money that Carter makes. This is: 1,509,600 - 1,482,000 = 27,600. The difference between the amount that Janelle makes and Carter makes in 30 years is $27,600
Answer:
The system has no solution because if 0=8, this means this is an empty set. If you get 2 numbers that don't equal each other for an answer then you know there's no solution
Step-by-step explanation:
The smallest prime number of p for which p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.
<h3>What is the smallest prime number of p for which p must have exactly 30 positive divisors?</h3>
The smallest number of p in the polynomial equation p^3 + 4p^2 + 4p for which p must have exactly 30 divisors can be determined by factoring the polynomial expression, then equating it to the value of 30.
i.e.
By factorization, we have:
Now, to get exactly 30 divisor.
- (p+2)² requires to give us 15 factors.
Therefore, we can have an equation p + 2 = p₁ × p₂²
where:
- p₁ and p₂ relate to different values of odd prime numbers.
So, for the least values of p + 2, Let us assume that:
p + 2 = 5 × 3²
p + 2 = 5 × 9
p + 2 = 45
p = 45 - 2
p = 43
Therefore, we can conclude that the smallest prime number p such that
p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.
Learn more about prime numbers here:
brainly.com/question/145452
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Answer:
I can not answer this question because vital information is missing.
Step-by-step explanation:
Pleas add a picture. At this moment I can not answer this question because vital information is missing.
Answer:
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