Answer:
£11,904
Step-by-step explanation:
Simple interest = PRT/100 where P = initial investment, R = rate and T = time.
So interest on £9600 = 9600*8*3/ 100
= £2304
So the value after 3 years = 9600 + 2304
= £11,904 (answer)
$65 * 6 = $390 total monthly payments made
The downpayment made is $125, so the total
balance at the end is:
balance = $513 – ($125 + $390)
balance = - $2
<span>There is an excess of 2 dollars at the end.</span>
Answer:
The null and alternative hypotheses are:
![H_{0}:\mu=75](https://tex.z-dn.net/?f=H_%7B0%7D%3A%5Cmu%3D75)
![H_{a} : \mu>75](https://tex.z-dn.net/?f=H_%7Ba%7D%20%3A%20%5Cmu%3E75)
Under the null hypothesis, the test statistic is:
![t=\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}} }](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%5Cbar%7Bx%7D-%5Cmu%7D%7B%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%7D)
Where:
is the sample mean
is the sample standard deviation
is the sample size
![\therefore t= \frac{83-75}{\frac{9.8206}{\sqrt{10}} }](https://tex.z-dn.net/?f=%5Ctherefore%20t%3D%20%5Cfrac%7B83-75%7D%7B%5Cfrac%7B9.8206%7D%7B%5Csqrt%7B10%7D%7D%20%7D)
![=2.58](https://tex.z-dn.net/?f=%3D2.58)
Now, we can find the right tailed t critical value at 0.01 significance level for df = n-1 = 10 - 1 = 9 using the t distribution table. The t critical value is given below:
Since the test statistic is less than the t critical value, we therefore, fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim that the people do better with the new edition.
<span> (3 + 1/4 u^4 − 2/3 u^9) du</span>
Using an exponential function, it is found that the colony will have 1344 bacteria after 8 days.
<h3>What is an exponential function?</h3>
An increasing exponential function is modeled by:
![A(t) = A(0)(1 + r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281%20%2B%20r%29%5Et)
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
Considering the initial amount of 150, and the growth rate of 73% each 2 days, the equation is given by:
![A(t) = 150(1.73)^{\frac{t}{2}}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20150%281.73%29%5E%7B%5Cfrac%7Bt%7D%7B2%7D%7D)
Hence, after 8 days, the amount of bacteria is given by:
![A(8) = 150(1.73)^{\frac{8}{2}} = 1344](https://tex.z-dn.net/?f=A%288%29%20%3D%20150%281.73%29%5E%7B%5Cfrac%7B8%7D%7B2%7D%7D%20%3D%201344)
More can be learned about exponential functions at brainly.com/question/25537936
#SPJ1