Answer:
Option C.
Step-by-step explanation:
We need to find the correct definition of like terms.
Like terms :Two or more terms are called like terms if they have the same variables and same powers.
For example : 4xy and 9xy are like terms.
Option A is incorrect because 3x and 3 are not like terms.
Option B is incorrect because 6x and 9 are not like terms.
Option C is correct because like terms are terms that have the same variable factors as well as the same number of factors of each type. For example, 3x and 5x are like terms.
Option D is incorrect because 3x and 5 are not like terms.
Therefore, the correct option is C.
Step-by-step explanation:
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Answer:
20.4 years
Step-by-step explanation:
The nper formula in excel comes handy in this scenario:
=nper(rate,pmt,-pv,fv)
Rate is the monthly rate of 5.4%/12
Assuming actual investment is $5,000 which is pv
The triple amount would be $5,000*3=$15,000 which is future value fv.
pmt is the regular cash flow the investment which is zero
=nper(5.4%/12,0,-5000,15000)= 244.68 months
Yearly it can be expressed as = 244.68/12 =20.39 years
When rounded to one decimal place it becomes 20.4 years
Answer:
Addition prop of equality, multiplication prop of equality, multiplication prop. of equality
Step-by-step explanation:
For the first one, we know that in order to solve the equation, we need to add 3 to both sides of the equation. When you add a value to both sides of the equation, you're using the addition property of equality.
For the second one, we know that in order to solve the equation, we need to multiply both side by 1/6 (to cancel the 6 out on the left side). When you multiply something to both sides of the equation, you're using the multiplication property of equality.
For the third one, we know that in order to solve the equation, we must multiply both sides of the equation by 5. Like the second problem, this would be the multiplication property of equality (since you're multiplying both sides of the equation by the same thing).
