We have that the spring is going to have a sin or a cos equation. We have that the maximum distance of the spring is 6 inches and it is achieved at t=0. Let's fix this as the positive edge. Until now, we have that the function is of the form:
6sin(at+B). We have that the period is 4 minutes and hence that the time component in the equation needs to make a period (2pi) in 4 minutes. Thus 4min*a=2p, a=2p/4=pi/2. In general, a=2pi/T where a is this coefficient, T is the period. Finally, for B, since sin(pi/2)=1, we have that B=pi/2 because when t=0, we have that 6sin(B)=6. Substituting, we have f(t)=6sin(pi*t/2+pi/2)=6cos(pi*t/2)
by trigonometric identities.
Answer: Horizontal asymptote of c(x) is 450.
Step-by-step explanation:
Since we have given that
Cost to produce one refrigerator = $450
Fixed monthly cost = $200,000
So, Average cost function to produce x refrigerators is given by
Horizontal asymptote of c(x) would be
Hence, Horizontal asymptote of c(x) is 450.
<span>Tomio, age 28, takes out $50,000 of straight-life insurance. His annual premium is $418.20. Using the tables found in the textbook, determine the cash value of his policy at the end of 20 years.
A. $26,500
B. $30,000
C. $13,250
D. $26,000
</span>50,000/1,000 = 50
265*50 = $13,250
So the cash value of this policy is $13,250
<span>
The correct answer is:
</span><span>C. $13,250</span>
Answer:
40 cm
Step-by-step explanation:
Using the conversion
1 litre = 1000 cm³, then
40 litres = 40 × 1000 = 40000 cm³
The volume ( V) of a cuboid is
V = lbh ( divide both sides by bh )
l = 
= 
= 
= 40 cm
Given:
Taxable income: 7,500
Paid every two weeks or 26 weeks in a year
Based on 2007 Federal Income Tax Table for Single Taxpayer, Tim is under the tax range over $0 but not over $7,825. The tax is 10% of the amount over $0.
<span>1. Finds the tax rate for his income level =10 %
2. Enters the base amount = $7,500
3. Enters the amount of tax owed = $7,500 * 10% = $750
4. Divides by 26 = $750 / 26 = $28.85 tax withheld from biweekly wages.</span>
