Answer:
Step-by-step explanation:
Find the difference between the 2 points.
For example, (8, 9) (5, 3).
Compare the difference between the x's, in this case 8 and 5. The difference is 3. Do the same with the y's, 9 and 3. The difference is 6.
To find the slope, it's y/x. The slope in this situation is 6/3. Simplify. The slope is 2.
To find the y-intercept, insert the slope and one of the 2 points in the beginning into y = mx + b & solve for b.
For example, if we use the ordered pair (5, 3) the equation would look like:
3 = 2(5) + b, Solve for b.
Multiply. 3 = 10 + b
Get b by itself by adding - 10 to both sides.
-7 = b
The y-intercept is -7. So, in this case, the equation is y = 2x - 7.
A prime factor has no multiples and cant be broken down any further
5*13 + 12x = 7.45(13+x)
solve for x
if i did the math correct x=7
Answer:
$976,578.71
Step-by-step explanation:
We assume the deposits are made at the <em>beginning</em> of each quarter. The quarterly interest rate is 6%/4 = 1.5%. The number of quarterly payments is 15×4 = 60. The future value of an annuity due is ...
A = P(1+r)((1+r)^n -1)/r
where r is the quarterly interest rate, n is the number of payments, and P is the payment amount.
A = $10000(1.015)(1.015^60 -1)/.015 ≈ $976,578.71
The future value is $976,578.71.
The vertical asympote is the value of x that makes the denominator equal to zero:
x+5=0
Solving for x:
x+5-5=0-5
x=-5
The vertical asymptote is x=-5
Answer: Option A. x=-5