The formula for compound interest is:
A=P(1+r/n)^(nt)
Where A represents the amount of money in the account after t years, P is the principal (investment), n is the number of compoundings per year, and r is the interest rate in decimal form.
P=11,100
r=.031
n=12 (monthly)
t=19
A=11,100(1+.031/12)^(12*19)
A=11,100(1+. 002583)^(228)
A=11,100(1.002583)^(228)
A=11,100(1.80082)
A=$19,989.10
Answer:
0.9177
Step-by-step explanation:
let us first represent the two failure modes with respect to time as follows
R₁(t) for external conditions
R₂(t) for wear out condition ( Wiebull )
Now,

where t = time in years = 1,
n = failure rate constant = 0.07
Also,

where t = time in years = 1
where Q = characteristic life in years = 10
and B = the shape parameter = 1.8
Substituting values into equation 1

Substituting values into equation 2

let the <em>system reliability </em>for a design life of one year be Rs(t)
hence,
Rs(t) = R1(t) * R2(t)
t = 1
![Rs(1) = [e^{-0.07} ] * [e^{-0.0158} ] = 0.917713](https://tex.z-dn.net/?f=Rs%281%29%20%3D%20%5Be%5E%7B-0.07%7D%20%5D%20%2A%20%5Be%5E%7B-0.0158%7D%20%5D%20%3D%200.917713)
Rs(1) = 0.9177 (approx to four decimal places)
The fabric cost $181.875
Step-by-step explanation:
Blue fabric bought = 3 3/4 yards , change to improper fraction (4*3)+3/4 = 15/4 yards
Red fabric= 12 5/6 yards = 77/6 yards
Purple fabric= 7 2/3 yards= 23/3 yards
Find total length of fabric bought, 15/4 +77/6 +23/3 =291/12 yards
Cost per yard= $7.50
Total cost will be, 291/12 * 7.50 =$ 181.875
Learn More
Cost : brainly.com/question/12878495
Keywords : cost, yard
#LearnwithBrainly
Answer:
74 papers
Step-by-step explanation:
100-26
Answer:
x=7
Step-by-step explanation:
2x-10=4 add 10 to both sides
2x=14 divide both sides by 2
x=7