Answer:
The amount of stock for which both brokers would charge the same commission is $2500.
Step-by-step explanation:
i) Let the amount of stock to be traded be worth $x
ii) therefore for both the brokers to charge the same commission we can write
1% of x = $25 
0.01 
x = 25 
x = 
The amount of stock for which both brokers would charge the same commission is $2500.
Using the quadratic formula, the solutions are:
a) 
b) 
<h3>What is a quadratic function?</h3>
A quadratic function is given according to the following rule:
The solutions are:
In which:
Item a:
The coefficients are a = 2, b = -3, c = -4, hence:
Item b:
The coefficients are a = 1, b = 2, c = 2, hence:
More can be learned about quadratic equations at brainly.com/question/24737967
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Answer:
5 Days
Step-by-step explanation:
<u>Step 1: Make an expression</u>
150 - 7.50x = 112.50
<u>Step 2: Solve the expression for x</u>
150 - 7.50x = 112.50
150 - 7.50x - 150 = 112.50 - 150
-7.50x / -7.5 = -37.5 / -7.5
x = 5
Answer: 5 Days
Hi, Siyasi2 ! Let x = the number of hot dogs, y = the number of chips, and z = the number of drinks. Then we know:
5x + 4y + 5z = 15.75
x = y + 0.75
z = 2x - 1
Let's substitute the 3rd equation into the first one.
5x + 4y + 5(2x - 1) = 15.75
5x + 4y+ 10x - 5 = 15.75
15x + 4y = 20.75
Now, let's re-write the 2nd equation as x - y = 0.75
We now have a system of two equations with two unknowns.
15x + 4y = 20.75
x - y = 0.75
To solve this, we can multiply the bottom equation by 4 and add.
15x + 4y = 20.75
+ 4(x - y = 0.75)
19x = 23.75
or x = 1.25
If x = 1.25, then using the one of the equations above, we can solve for y.
x - y = 1.25 - y = 0.75
.50 = y
Since z = 2x - 1, then z = 2(1.25) - 1 = 2.5 - 1 = 1.50
So, a hot dog is $1.25, chips are 50 cents, and a soft drink is $1.50. Please let me know if you have any questions.
9514 1404 393
Answer:
(b) $1.15
Step-by-step explanation:
The expected value is the sum of products of payoff and probability:
$0×0.15 +0.50×0.5 +1.0×0.2 +2.0×0.1 +10×0.05
= $0 +0.25 +0.20 +0.20 +0.50
= $1.15 . . . . expected value of the scratch ticket
