Answer: $60
Step-by-step explanation:
Given : The formula for percentage increase I (given as a decimal) of an investment is , where P is the purchase price and S is the sale price.
If Price of stock S= $75 and the percentage increase of 25% i.e. I=0.25.
Then, to find P , we substitute the values of S and I in the given equation, we get
Hence, the purchase price of the stock was $60.
Let
l------> the length side of the rectangle
w----> the width side of a rectangle
b----> the base of the triangle
h----> the height of the triangle
we know that
the area of the yard is equal to
Solve for b------> ( that means clear variable b)
Subtract both sides
Divide by both sides
therefore
<u>the answer is the option B</u>
The quantity A minus l times w all divided by 0.5 times h
Answer:
A. right 2, up 3
Step-by-step explanation:
We have that,
The function is transformed to
.
We see that,
The function f(x) is translated 2 units to the right and 3 units upwards to obtain the function g(x).
So, the correct transformation is 'right 2, up 3'.
Hence, option A is correct.
Answer:
To determine the number of real number solutions of as system of equations in which one equation is linear and the other is quadratic
1) Given that there are two variables, x and y as an example, we make y the subject of the equation of the linear equation and substitute the the expression for y in x into the quadratic equation
We simplify and check the number of real roots with the quadratic formula, for quadratic equations the form 0 = a·x² - b·x + c
Where b² > 4·a·c there are two possible solutions and when b² = 4·a·c equation there is only one solution.
Step-by-step explanation:
Answer:
P(N)=0.3
Step-by-step explanation:
Given: P(M)= 0.46, P(M and N)=0.138
Using P(M) ×P(N)= P(M and N)
⇒0.46×P(N)= 0.138
⇒P(N)=
⇒P(N)=0.3