X=cost of one box of popcorn.
we can suggest this equation:
3x+1.75=9.25
3x=9.25-1.75
3x=7.5
x=7.5/3
x=2.5
Answer: the equation to find the cost of one box of popcorn is 3x+1.75=9.25, and the cost of one box of popcorn is $2.5.
Answer:
One angle is 26 degrees and the other is 64 degrees.
Step-by-step explanation:
Complementary angles add up to a total of 90 degrees. Therefore, if one of the two angles is known to be 38 degrees less, then the other angle can be calculated:
90 = (x-38) + (x)
52 = 2x
26 = x
This means that one of the angles is 26 degrees, and the other is 64 degrees.
Answer:
y = 200·1.15^t
Step-by-step explanation:
The ratio from one year to the next is 1.15, so the balance is a geometric sequence. Since t starts at zero, we can write the balance (y) after t years as ...
y = initial value · (common ratio)^t
y = 200·1.15^t
Answer:
B. 600,000 (1.15)^{n-1}
Step-by-step explanation:
The <em>n-th</em> term of a geometric sequence with initial value a and common ratio r can be determined by multiplying the first term of the sequence (i.e. initial value a) by r^{n-1}.
The first term (i.e. initial value a) is 600,000.
The common ratio r can be calculated by dividing any two consecutive terms in the sequence:
r = 690,000/600,000 = 1.15 <em>or</em> r = 793,500/690,000 = 1.15
Thus, we get the answer:
the explicit rule that can be used to determine the value of the art collection n years after that is 600,000 (1.15)^{n-1}
