Answer:
Part 1) The vertical intercept is the point (0,9,000)
Part 2) The horizontal intercept is the point (15,0)
Step-by-step explanation:
we have
![s(t)=9,000-600t](https://tex.z-dn.net/?f=s%28t%29%3D9%2C000-600t)
Let
s(t) ----> the dependent variable or output value (the y-coordinate)
t ---> the independent variable or input value (the y-coordinate)
Part 1) Find the vertical intercept
The vertical intercept is the value of s(t) when the value of t is equal to zero
so
For t=0
substitute in the linear equation
![s(t)=9,000-600(0)=9,000](https://tex.z-dn.net/?f=s%28t%29%3D9%2C000-600%280%29%3D9%2C000)
therefore
The vertical intercept is the point (0,9,000)
Part 2) Find the horizontal intercept
The horizontal intercept is the value of t when the value of s(t) is equal to zero
so
For s(t)=0
substitute in the linear equation
![0=9,000-600t\\t=9,000/600\\t=15](https://tex.z-dn.net/?f=0%3D9%2C000-600t%5C%5Ct%3D9%2C000%2F600%5C%5Ct%3D15)
therefore
The horizontal intercept is the point (15,0)
Answer:
x is the hypotenuse
from trigonometry ratios:
![\sin( \theta) = \frac{opposite}{hypotenuse} \\](https://tex.z-dn.net/?f=%20%5Csin%28%20%5Ctheta%29%20%20%3D%20%20%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D%20%20%5C%5C%20)
consider theta to be 60°
![\sin(60 \degree) = \frac{3}{x} \\ \\ x = \frac{3}{ \sin(60 \degree) } \\ \\ { \underline{ \underline{ \: \: \: x = 3.5 \: \: \: }}}](https://tex.z-dn.net/?f=%20%5Csin%2860%20%5Cdegree%29%20%20%3D%20%20%5Cfrac%7B3%7D%7Bx%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B3%7D%7B%20%5Csin%2860%20%5Cdegree%29%20%7D%20%20%5C%5C%20%20%5C%5C%20%7B%20%5Cunderline%7B%20%5Cunderline%7B%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20x%20%3D%203.5%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%7D%7D%7D)
I believe the answer is the third option.
1/2x is the slope and +3 is the Y-intercept which we already know is 3.
The graph is going up so its going to be a positive 3.
-Seth
Answer: Rank me brainlist if this helps:)
False
$25,706.48
Step-by-step explanation:
The annual percentage rate (APR) is 4%, so the monthly rate is 4%/12 = ⅓%.
25 years = 300 months.
The monthly deposit (annuity) is $50.
The future value of the annuities is:
F = A [(1 + i)ⁿ − 1] / i
Given i = 1/300, A = 50, and n = 300:
F = 50 [(1 + 1/300)³⁰⁰ − 1] / (1/300)
F = 25,706.48
The statement is false. The amount after 25 years is less than $30,000.
Answer:
Step-by-step explanation:
first term = a = 352
Common difference = d = second term - first term
= 345 - 352
= (-7)
nth term = a + (n-1)*d
43rd term = 352 + (43-1)*(-7)
= 352 + 42 *(-7)
= 352 - 294
= 58