The correct answer would be 9%
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Answer:
Q1:14 Q2:8903.5
Step-by-step explanation:
I find that using equations to solve problems makes it a lot easier.
The first company's equation would be y=5743+225.75x because 5743 is the set fee and 225.75 is for each ton of sugar. The second company would be y=7500+100.25x for the same reasons.
So we need to find a value of x that works for each company and a value of y that is the same for the cost.
Now we combine them.
Solve for x:
5743+225.75x=7500+100.25x
-5743 -5743
225.75x= 1757+100.25x
-100.25x -100.25x
125.50x=1757
/125.5 /125.5
x=14
Therefore, for Q1, the answer is 14.
Now we solve for y by substituting x for 14.
5743+225.75(14)
5743+3160.5
8903.5
We can also check this with the other equation
7500+100.25(14)
7500+1403.5
8903.5
So therefore, the answer to Q2 would be 8903.5.
It depends. Generally no.
Linear equations are generally in the form [math]y=mx+b[/math] and have a domain of [math](-\infty,\infty)[/math], or all real numbers. However, an arithmetic sequence is only defines for the natural numbers (that is, while numbers [math]> 0[/math].
For any two terms in the arithmetic sequence, [math]a_n[/math] and [math]a_{n+1}[/math], there will always be a point on the linear function that lies in between them, and is such not defined in the sequence.
This does not make the sequence and function unrelated, but rather it makes them not the same.
A similar argument applies for geometric sequences and exponential equations.
No Alana's mom cannot be 3 times her age because 8 multiplied by 3 equals 24, Alana's mom would have to be 4 times her age. (8 multiplied by 4 equals 32)
