Mathematics, 22.11.2019 19:31 1234567890lknn

The ticket gate at a haunted corn maze start with $80 in the cash box. they charge $8 per person

write a recursive formula for the amount of money in the cash box after n peope paid

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Answer from: fxllsxn

The correct answer is aₙ = aₙ₋₁ + 8 when a₁ = 80 and n ≥ 2

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

Amount of money in the cash box at the ticket gate when it opens = US$ 80

Amount of money that every visitor to the haunted corn maze pays (ticket) = US$ 80

Number of people paying the ticket to the haunted corn maze = n

Amount of money in the cash box at any moment after the opening = x

2. Let's write the recursive formula for the amount of money in the cash box (x)

aₙ = aₙ₋₁ + 8 when a₁ = 80 and n ≥ 2

Let's prove it for n = 2, n= 3 and n = 4

a₂ = aₙ₋₁ + 8 = a₁ + 8 = 80 + 8 = 88

a₃ = aₙ₋₁ + 8 = a₂ + 8 = 88 + 8 = 96

a₄ = aₙ₋₁ + 8 = a₃ + 8 = 96 + 8 = 104

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

dont think so

step-by-step explanation:

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