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bonufazy [111]
3 years ago
11

The students of Lincoln High School are raising money to support the sports teams. A local organization donated boxes of popcorn

and candy for the students to sell. The freshmen are selling boxes of popcorn for $2 each, and the sophomores are selling boxes of candy for $4 each. The students' target is to raise more than $800. The sophomores expect to sell at most 100 boxes of candy. Let x represent the number of boxes of popcorn sold and y represent the number of boxes of candy sold. Which system of inequalities models the given situation? . The students of Lincoln High School are raising money to support the sports teams. A local organization donated boxes of popcorn and candy for the students to sell. The freshmen are selling boxes of popcorn for $2 each, and the sophomores are selling boxes of candy for $4 each. The students' target is to raise more than $800. The sophomores expect to sell at most 100 boxes of candy. Let x represent the number of boxes of popcorn sold and y represent the number of boxes of candy sold. Which system of inequalities models the given situation?
Mathematics
1 answer:
Neko [114]3 years ago
3 0
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The population of a pigeons in a city is 100 and is growing exponentially at 20% per year. Write a function to represent the pop
NikAS [45]

Answer:

  • p(t) = 100×1.0153^(12t)
  • 1.53% per month

Step-by-step explanation:

In general, the function will be written ...

  p(t) = (initial value)×(growth factor)^t

where t is in units comparable to those applicable to the growth factor. The growth factor is found from ...

  growth factor = 1 + growth rate

Here, the growth rate is given as 20% per year, so the growth factor per year is ...

  1 +20% = 1.20

The initial value is given as 100, so we can write the exponential function as ...

  p(t) = 100×1.20^t

__

The time period units for t are supposed to be years, but we want to find the growth rate for a month. We can do that by recognizing there are 12 months in a year. In the above equation, we can use (1/12)(12t) in place of t, then figure the growth factor (and growth rate) per month.

  p(t) = 100×(1.20^(1/12))^( 12t)

  p(t) = 100×1.0153^(12t) . . . . population exponential function

This shows the monthly growth factor is 1.0153, so the monthly rate of change (growth rate) is ...

  1.0153 -1 = 0.0153 = 1.53% . . . . monthly rate of change

5 0
3 years ago
Read 2 more answers
4 + {−5 + [−3 + 4 + 2(−7 + 4) + 4] + 2}
scoray [572]

Answer

it is 5 : )

Step-by-step explanation:

8 0
3 years ago
How many solutions does the equation have?<br> -4x - 9 = 12 - 4x
pickupchik [31]

Answer:

No Solution

Step-by-step explanation:

-4x - 9 = 12 - 4x

You add 4x on both sides

-9 ≠ 12

No Solution

4 0
3 years ago
S is inversely proportional to t . When s = 0.5 , t = 7 Work out t when s = 5
shtirl [24]

Answer:

t = 0.7

Step-by-step explanation:

s = k/t  where 'k' is the constant of variation

given:  0.5 = k/7 so k = 3.5

5 = 3.5/t

5t = 3.5

t = 0.7

4 0
3 years ago
A cone has a diameter of 18 in. and a height of 14 in.
Bond [772]
Cone's volume is V =  \frac{1}{3}Sh
where    S - surface area,  h - height
Surface area =  \pi r^2

r = 18/2=9
h= 14
π = 3.14
V= \frac{1}{3}  \pi r^2h= \frac{1}{3} *3.14*9^2*14= \frac{1}{3} *3.14*81*14=27*14*3.14[/tex]
V = 1186.92 in.^3


6 0
3 years ago
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