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: x = 9
Step-by-Step Solution:
Hypotenuse = 15 units
Base = 12 units
Altitude = x units
Using Pythagoras Theorem,
=> Hypotenuse^2 = Base^2 + Altitude^2
(15)^2 = (12)^2 + x^2
225 = 144 + x^2
225 - 144 = x^2
81 = x^2
x^2 = 81
x = √81
=> x = 9
Therefore, Altitude = 9 units
Answer:
y=9 (x=-4.5)
Step-by-step explanation:
you have to split the equation up in order to solve
5y=45
divide by 5 on both sides
y=9
-10x=45
divide by -10
x=-4.5
Answer: The 3 in 3,899 is 10 times the 3 in 4,385!
Answer:
Step-by-step explanation:
Option 1:
4(m + 12) = 4m + 48 (not what we want)
Option 2:
6m - 2m + 12 = 4m + 12 (one of the right answers)
Option 3:
4(m + 3) = 4m + 12 (one of the right answers)
Option 4:
3m - m + 12 = 2m + 12 (not what we want)
Therefore the correct answers are Option 2 and Option 3.
