A sandwich store charges a delivery fee to bring lunch to an office.
Delivery cost - D
Meatball sandwich cost - M
One office pays $40.50 for 5 meatball sandwiches.
40.50 = 5M + D
Another office pays $66.50 for 9 meat ball sandwiches
66.50 = 9M + D
A. How much does each meatball sandwich add to the cost of delivery?
D = 40.50 - 5M = 66.50 - 9M
40.50 - 5M = 66.50 - 9M
9M - 5M = 66.50 - 40.50
4M = 26.00
M = 6.50
B. What is the delivery fee
D = 40.50 - 5M = 40.50 - 5(6.50) = 40.50 - 32.50 = 8.00
Check
66.50 = 9M + D = 9(6.50) + 8 = 58.50 + 8.00 = 66.50
As the expression is not equal to zero on x=3, x-3 is not a factor of given expression
Step-by-step explanation:
Given expression is:
We have to check if x-3 is a factor of given expression
In order for x-3 to be a factor of expression, we have to put x-3 = 0 => x=3 in expression.
If the expression is zero at x=3 then x-3 is a factor of expression otherwise not.
So putting x=333 in expression
As the expression is not equal to zero on x=3, x-3 is not a factor of given expression
Keywords: Polynomials, expressions
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Step-by-step explanation:
So the general formula for compound interest is 
where t is typically time in years, and n is how many times it's compounded per year. But in this case it's only compounded 1 time per year so the equation is just 
. in this case P is the principal amount, r is the interest, and A is the final amount. So the 5% interest rate becomes 0.05 by dividing by 100 to convert it into decimal form and the principle amount of 11,000. This gives you the formula 
. This is the answer to the first question where t is the time in years. When it says "Find interest earned" I'm a bit confused, is it giving you x amount of years where you have to calculate the interest earned or does it want a general equation? Because the general equation would be the final amount - the principle amount which calculates the difference. So the equation for interest earned would be 
. To calculate the amount of money after 5 years you simply plug in 5 as t. this gives you the equation 
0.362 in expanded form is 0.3 + 0.06 + 0.002
