Answer:
1. Reflection
2. Dilation
3. Rotation
Step-by-step explanation:
Hey!
You can tell number one is a reflection because it didn’t change side or turn upside down or anything, it just flipped over to the other side.
You can tell number two is a dilation because it changes size.
You can tell number three is rotation because it rotated.
Hope this helps! :D
If you have any further questions, comment down below!
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:
one to one function
Step-by-step explanation:
f(x)=6x+1 can only be a one to one function when x1=x2
Now,
f(x1)=f(x2)
or, 6x1 + 1 = 6x2 + 1
or, 6x1 = 6x2
or, x1 = x2
So f(x)= 6x + 1 is a one to one function
Given:
ft and
ft.

To find:
The value of P.
Solution:
We have,

Substituting
and
, we get




Taking LCM, we get




Therefore, the value of P is
ft.
For each coin, there are <u>2 outcomes</u>, heads (H) or tails (T), so for the <u>3 coins</u>, the number of outcomes are:
2 x 2 x 2 = <u>8 outcomes:</u>
HHH / HHT / HTH / THH / TTT / TTH / THT / HTT
Out of all these outcomes, there are <u>3 ways</u>, we get exactly 2 Heads:
HHT / HTH / THH
So, the probability of exactly 2 coins landing on Heads is 3/8, or 0.375