Answer:
x - intercepts: (-5,0), (5,0), (7,0)
I'm not sure if you would count these, but x and y also have the intercept of (0,0).
By the Pythagorean theorem, the missing side is -sqrt7. The definition of sin is side opposite over hypotenuse, so go into Q2 and make an angle and label the side opposite the angle with a 3 and the hypotenuse a 4. The other leg is -sqrt7 cuz x is negative in Q2. The cosine of an angle is the side adjacent over the hypotenuse, so the cos then is -sqrt7/4
The Present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt)/(r/t)
where: P is the monthly payment, r is the annual rate = 7% = 0.07, t is the number of periods in one year = 12 and n is the number of years = 3.
18,000 - 6,098 = P(1 - (1 + 0.07/12)^-(3 x 12)) / (0.07/12)
11,902 = P(1 - (1 + 0.07/12)^-36) / (0.07/12)
P = 0.07(11,902) / 12(1 - (1 + 0.07/12)^-36) = 367.50
Therefore, monthly payment = $367.50
Answer:
68 plants.
Step-by-step explanation:
Let x represent the number of plants that Reuben bought from the nursery.
We have been given that Reuben bought a whole bunch of plants at the nursery the other day. Right away, five died. So number of plant left would be
.
We are also told that then our dog dug up 2/9 of them. So number of plants left after dug-up would be
.
Further a rabbit came and ate ½ of what was left. So number of plants left would be
.
Since Reuben had only 7 plants left, so we will equate our expression with 7 and solve for x as:





Therefore, Reuben bought 68 plants at the nursery.