Answer:
x=4/3 , x=-5/2
Step-by-step explanation:
6x^2 +7x=20
6x^2+7x-20=0
(3x−4)(2x+5)
3x-4=0 , 2x+5=0
3x=4 , 2x=-5
x=4/3 , x=-5/2
Answer: $40
Step-by-step explanation:
The key formula to use for this problem is the simple interest formula, which is
; where I is the interest earned, p is the principal (initial) amount, r is the interest rate, and t is the amount of time that passes.
Since we know that both investments have the same interest rate, we can use the information from the first part of the problem to solve for the interest rate. Using algebra, we can rearrange the simple interest formula to solve for the interest rate:
. We know that our interest earned is $24 and our principal amount is $300. To make things easier, we'll also convert months to years, which is easy to do since we know that 12 months = 1 year. This gives us our value for the amount of time that passes. Now, all we have to do is plug in our values into the rearranged equation above.
We should now have: 
Now, to find the interest earned from the $500 investment, we just need to plug in our values from the second part of the problem, along with our calculated interest rate of 0.08, into the original formula of 
This should result in 
Therefore, James will receive $40 on his $500 investment after 12 months.
Let T be the taco, B the burrito, MP the mexican pizza, R the rice, and N the beans.
For the main course we can have the first three.
----- T
------ B
-------MP
Each main course comes with the two sides. So an R branch and a B branch go to each of the taco, burrito, or pizza.
-----T---------R or N.
We expand it to
--------T-----------R
---------------------N
And we repeat it for the rest.
Thus, the tree diagram is
----- T --------R
-----------------N
-----B---------R
-----------------N
----MP--------R
----------------N
3x(y+5)
= 3xy+15x
= (Tienes que multiplicar dentro del paréntesis por 3x) <span />
Answer:
8/184
0.0434782609x115
5
Step-by-step explanation:
5