Answer:
m > 1
Step-by-step explanation:
Given: 10m − 3 > 6m+1
Add 3 to both sides: 10m > 6m + 4
Subtract 6m from both sides: 4m > + 4
Divide both sides by 4: m > 1
109!!
180-64-45= 71. Angle x amd the interior angle create a 180 degree line. And 180-71= 109; the sum of the 2 angles in the triangle are equivalent to the exterior angle
Answer: No, the money won't be enough to buy the car
Step-by-step explanation:
you plan on buying yourself a new $20,000 car on graduation day and graduation day is 24 months time. If you invest $300 a month for the next 24 months.
The principal amount, p = 300
He is earning 4% a month, it means that it was compounded once in four months. This also means that it was compounded quarterly. So
n = 4
The rate at which the principal was compounded is 4%. So
r = 4/100 = 0.04
It was compounded for a total of 24 months. This is equivalent to 2 years. So
n = 2
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount that would be compounded at the end of n years.
A = 300(1 + (0.04/4)/4)^4×2
A = 300(1 + 0.01)^8
A = 300(1.01)^8
A = $324.857
The total amount at the end of 24 months is below the cost of the car which is $20000. So he won't have enough money to buy the car
Answer:
p = 2
n = 14
m = 3
Step-by-step explanation:
In order to be able combine (either add or subtract) rational expressions we need to write them with a common (similar) denominator. For that reason we first find the Least Common Denominator of both fractions, that way understanding how to express the two fractions using equivalent fractions with like denominator that can be combined.
We see that the denominator of the first fraction contains the factor "x", therefore "x" has to be a factor of that least common denominator.
We also see that the second fraction contains "2" as a factor, therefore 2 has to be a factor as well for our Least Common Denominator (LCD)
So the LCD we need is the product: 2*x which we write as 2x.
Now we write the first fraction as an equivalent one but with denominator "2x" by multiplying top and bottom by 2 (and thus not changing the actual value of the fraction): 
Next we do the same with the second fraction, this time multiplying top and bottom by the factor "x":

Now that both fractions are written showing the same denominator , we can combine them as indicated:

This expression gives as then the values for the requested coefficients.
p = 2
n = 14
m = 3
3x² + 8x - 3 = (3x - 1) (x + 3)