Answer:
32x-8y-3
Step-by-step explanation:
4(8x-2y)-3
4 x 8x = 32x
4 x 2y = -8y
Answer:
x + 2y ≤ 100 and x + 3y ≤ 400
Maximum profit = 6x + 5y.
Step-by-step explanation:
Let there be x number of small dishes and y number of large dishes to maximize the profit.
So, total profit is P = 6x + 5y .......... (1)
Now, the small dish uses 1 cup of sauce and 1 cup of cheese and the large dish uses 2 cups of sauce and 3 cups of cheese.
So, as per given conditions,
x + 2y ≤ 100 ........ (1) and
x + 3y ≤ 400 .......... (2)
Therefore, those are the constraints for the problem. (Answer)
Well, the formula for simple interest is

"I" is interest, "p" is the principal, "r" is the rate, and "t" is the time.
If you substitute the numbers, you get

When you multiply them together, you get

So, the simple interest for 3.5 years is $210.
But, in order to get the total balance, you have to add the interest and the principal together.

So, the balance after 3.5 years is $1,210.
Answer:
Step-by-step explanation: My variables are
d=big number q=small number
My equations are 6=3q2d+3=qI
will solve for q in first equation 6/3 = 3q/32=q
Now I will pluck back in to get d2d+3=(2) -3 -32d=-12d/2=-½d=-1/4 So the solution is(-1/4, .2)
Answer:
You will have $623.3441462 in your account after 7 years
Step-by-step explanation:
The formula of the compounded interest is A = P
, where
- n is the number of periods
∵ You are opening a savings account with $500
∴ P = 500
∵ The bank offers 3.2% interest, compounded yearly
∴ r = 3.2% ⇒ divide it by 100 to change it to decimal
∴ r = 3.2 ÷ 100 = 0.032
∵ The interest is compounded yearly
∴ n = 1
∵ The time is 7 years
∴ t = 7
→ Substitute these values in the rule above to find A
∵ A = 500 
∴ A = 500 
∴ A = 623.3441462
∴ You will have $623.3441462 in your account after 7 years