Is the equation suppose to be f(x)=x^2 and g(x)= x+5^2-9? the triangle thing means to the power of
Answer:
The amount is $8358.7 and the interest is $3858.7.
Step-by-step explanation:
Explanation
STEP 1: To find amount we use formula:
A=P(1+rn)n⋅t
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
In this example we have
P=$4500 , r=7% , n=2 and t=9 years
After plugging the given information we have
AAAA=4500(1+0.072)2⋅9=4500⋅1.03518=4500⋅1.857489=8358.7
STEP 2: To find interest we use formula A=P+I, since A=8358.7 and P = 4500 we have:
A8358.7II=P+I=4500+I=8358.7−4500=3858.7
Answer:
Probability = 0.8444
Step-by-step explanation:
To solve this problem, we need to obtain the z-value which corresponds to the probability that the mean of a sample of 84 computers would differ from the population mean by less than 1.39 months
Let x' denote the mean life of the computer.
Mean = 88 months
Variance = 81
Thus, standard deviation = √81 = 9
Thus, we obtain;
P(|x - μ| < 1.39) = P(-1.39 > x < 1.39)
For x' = - 1.39,
z = -1.39/(9/√84)
z = -1.39/0.982
z = -1.42
For x' = 1.39,
z = 1.39/(9/√84)
z = 1.39/0.982
z = 1.42
Thus, P(|x - μ| < 1.39) =
P(−1.42 < z < 1.42)
From the Z-distribution tables i attached, we obtain ;
0.92220 - 0.07780 = 0.8444
Answer:
Proof for ![k|r](https://tex.z-dn.net/?f=k%7Cr)
Step-by-step explanation:
We are given that a, n, b, r and k are integers.
Also,
![a = nb + r](https://tex.z-dn.net/?f=a%20%3D%20nb%20%2B%20r)
Since k divides a and b, we can write,
a = rk and b = sk, where r and s are integers.
Now, we have to prove that k divides r as well that is ![k|r](https://tex.z-dn.net/?f=k%7Cr)
Putting value of a and b in the equation, we get:
![rk = n(sk) + r\\r = rk - nsk\\r = (r-sn)k](https://tex.z-dn.net/?f=rk%20%3D%20n%28sk%29%20%2B%20r%5C%5Cr%20%3D%20rk%20-%20nsk%5C%5Cr%20%3D%20%28r-sn%29k)
Since, (r-sn) is an integer, k divides r.
Answer:
The correct answer is either (-5,0) or (-5,6)
Step-by-step explanation:
An ordered pair is described as (x,y)
Since x=-5, the last two work just fine, but we don't have a y-coordinate value, so I'm not sure on the details of that