The appropriate exponential function for the first question is
... A: f(n) = 10 × 1.2^n
To find the revenue from sales of that many glasses, we multiply by the sale price to get
... B: 0.5(10 × 1.2^n)
The last digit will simply be equal to 8^1000, since the 10 will not have any effect on the units digit. Take the first few powers of 8, examining only the last digit:
8^1=8
8^2=4
8^3=2
8^4=6
8^5=8
8^6=4
We see that it continues in this pattern. Powers evenly divisible by 4, therefore, end in 6. Since 1000 is divisible by 4, 8^1000 ends in 6, so 18^1000 also ends in 6.
Answer:
23 of the coins will be quarters
Step-by-step explanation:
Let's let "5x" represent the number of boys in the school play and "7x" represent the number of girls in the school play. 5x = boys 7x = girls If we know that the total number of students in the play equals 48, then that must be that both the number of boys and girls combined must equal 48: 5x + 7x = 48 12x = 48 x = 4 Now, take your x-value and plug it into both the boys' and girls' values to figure out how many boys and girls there are in the play: 5x = 5 (4) = 20 boys
7x = 7 (4) = 28 girls To find out how many more girls there are than boys in the play, just subtract the number of girls minus the number of boys: # girls - # boys = 28 - 20 = 8 This means that there are 8 more girls than boys in the school play
A group of friends wants to go to the amusement park. They have no more than $320 to spend on parking and admission. Parking is $9.25, and tickets cost $28.25 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.
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Please, give me some minutes to take over your question
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They have no more than $320 to spend on parking and admission
320 ≥ 9.25 + 28.25*p
9.25 + 28.25*p ≤ 320
320- 9.25 ≥ 28.25*p
310.75/28.25 ≥ p
p ≤ 11
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Answer
The number of people who can go to the amusement park can be a maximum of 11 people (less than or equal to 11).
