Answer:
Yes
Step-by-step explanation:
10x + 2y > 3
Substitute the point into the inequality
10(4)+2(3) > 3
40+6>3
46>3
This is a true statement so the point is a solution
Answer: 15 + 53/77
Step-by-step explanation:
Multiplying a fraction by 1 does not change the value.
Any number divided by itself is 1.
For instance, 11/11 = 7/7 = 1.
12 + 1/7 + 3 + 6/11 = 15 + 1/7 + 6/11
= 15 + (11×1)/(11×7) + (7×6)/(7×11)
= 15 + 11/77 + (6×7)/77
= 15 + (11 + 6×7)/77
= 15 + 53/77
It is faster to make sure to multiply by the "smallest" form of one that will work, but you don't have to. You only need to make sure that at the end there are no common factors in numerator and denominator, and that numerator is smaller than denominator.
Since the interest is compounded, we will have to use the compound interest formula.
We Weill plug 7500 in for A, because that's the amount of money that we want to have at the end of some amount of time.
5000 will go in for P because that's the starting amount.
2.7% will be converted into a decimal percentage form. You can do this by dividing by 100, which you will get .027, and then plug that in for r, the rate.
Since the interest is compounded quarterly, n = 4.
After a bit of number crunching, you will get to the point where you have to solve for an exponent. You can easily do this by using the natural log ln(). One property of logarithm is that you can take the exponent and place it in front of the log. Now you can divide both sides to separate and solve for t.
P(cube lands on 4 = 1/6
P(coin lands on heads) = 1/2
P( both) = 1/6 * 1/2 = 1/12 <===