Simple interest is $ 9
<em><u>Solution:</u></em>
Given that,
P = $ 400

T = 0.25 years
<em><u>The formula for simple interest is:</u></em>

Where,
I is the simple interest earned
R is the rate of interest in decimal
T is the number of years
<em><u>Substituting the values we get,</u></em>

Thus simple interest is $ 9
Visualize the image in your mind and you can see that it forms a right angled triangle with a base,altitude and hypotenuse
base=2 feet
hypotenuse(ladder)=13 ft
We need to find the altitude,
By applying pythagoras theorem,
base square+altitude square=hypotenuse square
Take altitude as x
2 square+x square=13 square
4+x square=169
x square=169-4
x square=165
x= root of 165
x=12.8 feet(approx.)
Step-by-step explanation:
5(x + 7) = 15
x+7=3
x=-4!!!!!!
Answer:
its c
Step-by-step explanation:
Answer:
x-intercepts = 1,2, and 4, y-intercept = -8
Step-by-step explanation:
x^3 - 7x^2 - 14x - 8 in factored form is equal to (x-1)(x-2)(x-4).
Solving for x-intercepts:
- We are actually able to solve for all x-intercepts without the given factor. But since we are given one of the factors, our job becomes much easier.
- Using synthetic division, or long division, we factor out the x-intercept 4. Which leaves us with the polynomial x^2 - 3x + 2.
- From here we can separate the polynomial into two binomials.
- x^2 - 3x + 2 = (x-1)(x-2). Giving us all 3 x-intercepts.
- Using Descartes' rules we can identify before even starting the problem how many real x-intercepts there are (Not needed for this problem).
Solving for y-intercept:
- The y-intercept is always the coefficient that does not have any assigned x-variables.
- The coefficient is -8, thus the y-intercept.
- If unsure of the y-intercept, you can always plug in x = 0. Solving for the y-intercept will give you the value of f(0).
- If there is no coefficient, the y-intercept is equal to zero.