Answer:
The amount invested in the mutual fund that earned 5% was $1,000
The amount invested in the mutual fund that earned 3% was $1,800
Step-by-step explanation:
Let
x ----> the amount invested in the mutual fund that earned 5%
y ----> the amount invested in the mutual fund that earned 3%
we know that
----> 
----> equation A
----> equation B
Solve the system by substitution
substitute equation A in equation B
Solve for x
<em>Find the value of y</em>
therefore
The amount invested in the mutual fund that earned 5% was $1,000 and the amount invested in the mutual fund that earned 3% was $1,800
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope- formula
m = 
with (x₁, y₁ ) = (- 2, 15) and (x₂, y₂ ) = (1, 6) ← 2 ordered pairs from the table
m = 
= 
= 
= - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (2, - 3 ) , then
- 3 = - 6 + c ⇒ c = - 3 + 6 = 3
The y- intercept c = 3 → D
Answer:
3x - y = -28
Step-by-step explanation:
Given the equation y-4 = 3(x+8), distribute and simplify to get the Standard Form.
y-4 = 3(x+8)
y - 4 = 3x + 24
y = 3x + 28
-3x + y = 28
Standard form does not allow the coefficient of x to be negative so multiply the equation by -1.
3x - y = -28
32 miles = 4 dollars per gallon.
32 * 5 = 160
160 miles on 20 dollars of gas.
Answer:
C. 
Step-by-step explanation:
Let x represent number of miles.
We have been given that a taxi cab charges $1.50 for the flat fee and $0.50 for each mile.
The cost of riding x miles would be 
and the total cost of riding x miles would be 
.
Since Sharon has only $25 to spend on the taxi ride, so the cost of riding x miles on taxi must be less than or equal to 25.
We can represent this information in an inequality as:
Therefore, option C is the correct choice.
