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Blababa [14]
3 years ago
13

You recently got a job a Dillards selling shoes. Each month you earn $450 plus one eigth of your sales. Whar amount in sales mus

t you sell this month to earn more than $2000
Mathematics
1 answer:
Zanzabum3 years ago
6 0
Let your amount of sales be x
let you total be y
y = 450 + x / 8
but you want y > 2000
2000 < 450 + x / 8
x / 8 > 1550
x > 1550 × 8
x > 12400
therefore you must sell at least $12,400
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Y''+Y'+Y=1<br> solve ordinary differential equation
taurus [48]

Answer:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

Step-by-step explanation:

y" + y' + y = 1

This is a second order nonhomogenous differential equation with constant coefficients.

First, find the roots of the complementary solution.

y" + y' + y = 0

r² + r + 1 = 0

r = [ -1 ± √(1² − 4(1)(1)) ] / 2(1)

r = [ -1 ± √(1 − 4) ] / 2

r = -1/2 ± i√3/2

These roots are complex, so the complementary solution is:

y = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t)

Next, assume the particular solution has the form of the right hand side of the differential equation.  In this case, a constant.

y = c

Plug this into the differential equation and use undetermined coefficients to solve:

y" + y' + y = 1

0 + 0 + c = 1

c = 1

So the total solution is:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

To solve for c₁ and c₂, you need to be given initial conditions.

5 0
3 years ago
Problem: The mean number of bankruptcies filed per minute in the ` States in a recent year was about two. Find the probability t
tino4ka555 [31]
The number of companies is quite large. That is, n is quite large.
The probability that a company declares bankruptcy is quite small , p is quite small.
np = the mean number of bankruptcies = 2  = a finite number.
Hence we can apply Poisson distribution for the data.
P (x=5 | mean =2) = e-2 25/5! = e-2 * 32/120 = 0.036089
Alternatively 
=poisson(5,2,0) = 0.036089
P(x≥ 5 | mean =2) = 1- P( x ≤ 4) = 1- e-2 (1+2+22/2!+23/3!+24/4!)= 1-e-2 (1+2+2+8/6+16/24)= 1-e-2(7)
  =0.052653
Alternatively
= 1- poisson(4,2,1) =0.052653
P(X > 5 | mean =2) = 1- p(x
 ≤ 5) =1- e-2 (1+2+22/2!+23/3!+24/4!+25/5!)= 1-e-2(7+4/15)
  =0.016564
alternatively=1-poisson(5,2,1)
=0.016564
4 0
3 years ago
How can I divide decimals and fin the correct quotient and remainder.?
sesenic [268]

Answer:

Add a zero to the remainder and a decimal point in the quotient. Then we can continue to divide decimals. We divide 64 by 5 and obtain 12 as a quotient and 4 as a remainder. Since the remainder is not zero, we can continue to get a decimal answer by adding a decimal point in the quotient and a zero to the remainder

Step-by-step explanation:

4 0
3 years ago
What’s the answer to this?
Scorpion4ik [409]

Answer:

your answers will be options <u>B and E</u>

Step-by-step explanation:

hope this helps have a nice day!!

8 0
2 years ago
Question 4 A triangle has two sides that are 8 cm and 13 cm. What could be the length of the triangle's third side? Select three
Lisa [10]

know what is the third side length

the difference between the 2 other sides <  the greatest side of triangle < the sum of 2 other sides

so here the answers here could be ( 10- 17 - 20)

10-8 < 13 <  10+8  

13-8 < 17 < 13+8

13-8 < 20 < 13+8

4 0
3 years ago
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