Marcy has $150 to buy packages of hot dogs, d, and hamburgers, b, for her booth at the carnival. at her grocery store she found packages of hot dogs cost $6 and packages of hamburgers cost $20. (a) write an equation that can be used to find the possible combination of hot dog and hamburger packages marcy can buy using her budget of exactly $150. (b) solve the equation for d. (c) solve the equation for b.

(a)

(b)

(c)

Step-by-step explanation:

We have been given that Marcy has $150 to buy packages of hot dogs (d) and hamburgers (b) for her booth at the carnival.

(a) We have been given that the cost for one package of hot dogs is $6, so the cost for d packages of hot dogs will be 6*d.

We are also told that cost for one package of hamburgers is $20, therefore, cost for b packages of hamburgers will be 20*b.

To write an equation that can be used to find the possible combination of hot dog and hamburger packages Marcy can buy using her budget of exactly $150, we will equate the sum of 6*d and 20*b with 150.

Therefore, our desired equation will be .

(b) We will solve for one unknown in terms of other unknown. We can solve our equation for d in terms of b by separating d to one side of our equation.

First of all we will subtract 20*b from both sides of our equation.

Now we will divide both sides of our equation by 6.

Therefore, we can write the value of d as: .

(c) We will solve for one unknown in terms of other unknown. We can solve our equation for b in terms of d by separating b to one side of our equation.

First of all we will subtract 6*d from both sides of our equation.  

Now we will divide both sides of our equation by 20.        

Therefore, we can write the value of d as: .

здрасти

step-by-step explanation:

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.