Answer:
after calculating I got this answer.
hope this answer helps you dear...take care
<span>$15000 compounded continuously at a rate of 3% for 11 years will yield a final amount of $20864.52. The equation for continuously compounded interest A = Pe^rt where A=End Amount P=Inital Amount e=eulers number (approximately 2.7) r=growth rate per year and t= time. So for your problem, p= 15000 r= 3 and t= 11. Plug that into your calculator and you'll get $20864.52.</span>
Fraction means a part of something
we see
18 times a fraction is bigger or smaller or equal to 18
18 times a fraction means take a part ouf of 18
in this case
18 times 4/5=72/5=14.4
14.4 is less than 18
when you take a fraction of something, it becomes smaller, like if you take a slice of pizza or a fraction of the pizza, it becomes smaller
lesss
Answer:
Step-by-step explanation:
Hello!
To compete in the touch screen phone market a manufacturer aims to release a new touch screen with a battery life said to last more than two hours longer than the leading product which is the desired feature in phones.
To test this claim two samples were taken:
Sample 1
X: battery lifespan of a unit of the new product (min)
n= 93 units of the new product
mean battery life X[bar]= 8:53hs= 533min
S= 84 min
Sample 2
X: battery lifespan of a unit of the leading product (min)
n= 102 units of the leading product
mean battery life X[bar]= 5:40 hs = 340min
S= 93 min
The population variances of both variances are unknown and distinct.
To test if the average battery life of the new product is greater than the average battery life of the leading product by 2 hs (or 120 min) the parameters of interest will be the two population means and we will test their difference, the hypotheses are:
H₀: μ₁ - μ₂ ≤ 120
H₁: μ₁ - μ₂ > 120
Considering that there is not enough information about the distribution of both variables, but both samples are big enough, we can apply the central limit theorem and approximate the distribution of both sample means to normal, this way we can use the standard normal:
![Z= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{\sqrt{\frac{S_1^2}{n_1} +\frac{S_2^2}{n_2} } }](https://tex.z-dn.net/?f=Z%3D%20%5Cfrac%7B%28X%5Bbar%5D_1-X%5Bbar%5D_2%29-%28Mu_1-Mu_2%29%7D%7B%5Csqrt%7B%5Cfrac%7BS_1%5E2%7D%7Bn_1%7D%20%2B%5Cfrac%7BS_2%5E2%7D%7Bn_2%7D%20%20%7D%20%7D)
Z≈N(0;1)

I hope this helps!
Answer:
x=6
Step-by-step explanation:
22x-2=20x+10
22x-20x=10+2
2x=12
x=6