Why are you still asking these? Just add up the exponents!
Answer:
A function is a relation in which no two ordered pairs have the same first element. A function associates each element in its domain with one and only one element in its range. Solution: a) A = {(1, 2), (2, 3), (3, 4), (4, 5)} is a function because all the first elements are different.
Step-by-step explanation:
Answer: s, v, w, & x = 13 y = 20 z = 20 + 13√3
<u>Step-by-step explanation:</u>
First, you need to understand the side lengths of each special triangle in the drawing.
A 45°- 45°- 90° triangle has corresponding sides of a - a - a√2
A 30°- 60°- 90° triangle has corresponding sides of b - b√3 - 2b
The hypotenuse of the 45-45-90 triangle is 13√2, so its legs are 13.
So A F = 13 → s = 13 and w = 13
FB = 13 → x = 13
EC = 13 → v = 13
Since the x-value of C is 20, then the x-value of E is also 20 → y = 20
ED is opposite of the 60° angle of the 30-60-90 triangle so ED is EC√3. Since EC = 13, then ED = 13√3.
AE + ED = AD
20 + 13√3 = AD → z = 20 + 13√3
Answer:
solve for each variable then plug them in
Step-by-step explanation:
<u>Answer-</u>
<em>Finance charge is $99</em>
<u>Solution-</u>
Price of mountain bike = $762
The store's financing requires a 15% down payment, so the present value of annuity will be,
We know that,
![\text{PV of annuity}=P[\frac{1-(1+r)^{-n}}{r}]](https://tex.z-dn.net/?f=%5Ctext%7BPV%20of%20annuity%7D%3DP%5B%5Cfrac%7B1-%281%2Br%29%5E%7B-n%7D%7D%7Br%7D%5D)
Putting the values,
![\Rightarrow 647.7=P[\dfrac{1-(1+\frac{14}{1200})^{-24}}{\frac{14}{1200}}]](https://tex.z-dn.net/?f=%5CRightarrow%20647.7%3DP%5B%5Cdfrac%7B1-%281%2B%5Cfrac%7B14%7D%7B1200%7D%29%5E%7B-24%7D%7D%7B%5Cfrac%7B14%7D%7B1200%7D%7D%5D)
With a monthly payment of this, he will be paying in 24 months will be,
Then,
The extra amount he will be paying,
