9514 1404 393
Answer:
Step-by-step explanation:
The equations need to match the problem statements. If we let C and S represent the costs of Cherry and Sweet potato pies, respectively, then the revenue from each sale can be expressed as an equation.
1 cherry and 7 sweet potato for $114 ⇒ C +7S = 114
14 sweet potato and 11 cherry for $309 ⇒ 11C +14S = 309
Note that we have used C and S in the second equation in the same order as they appeared in the first equation, even though the problem statement has that order reversed. This facilitates solving the equations using elimination or Cramer's rule.
These equations match Option 4.
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The cost of a cherry pie can be found by eliminating S from the equations. We can do that by subtracting twice the first equation from the second:
(11C +14S) -2(C +7S) = (309) -2(114)
9C = 81 . . . . . simplify
C = 9 . . . . . . . divide by 9
The cost of each cherry pie is $9.
<span>The part of the graph that best represents the solution set to the system of inequalities y ≤ x + 1 and y + x ≤ –1 is Part C.</span>
Answer:
<h2>-1/5</h2>
Step-by-step explanation:
Starting at -3/5 you need to subtract -2/5.
When you subtract a negative number, the sign flips and you add instead. Often, you are taught that two similar signs means add and two opposite signs mean minus.
<em>+ + = +</em>
<em>- - = -</em>
<em>+ - = -</em>
<em>- + = -</em>
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This means -3/5 - -2/5 becomes -3/5 + 2/5.
Because you are adding, you move two lines to the right on the number line.
You end at -1/5.
We have to calculate the amount of money Peter will have in his account after 5 years. Formula for the amount after t years with interest compounded continuously : A = P * e ^(rt)
We know that r = 0.06, t=5, e = 2.71 and p= $8,000
A = 8,000 * 2,718 ^(0.06 * 5) = 8,000 * 2,718 ^ (0.3) = 8,000 * 1.3488158 = 10,798.53 so the answer is 10,798.53
I believe the answer is c ,BECAUSE... to find the change you take 5000 multiply it by the numbers that if aded would equal 5600 and 5000 times .12= 600, 5000 +600= 5600 hence the number of population in 2010.
hope I helped
