The exponential model has an initial value of 3
The exponential model of the data is f(x) = 3 * (1.2)^x
<h3>How to determine the exponential model?</h3>
From the complete question,we have the following parameters:
- Initial value, a = 3
- Growth rate, r = 0.2
The exponential model is then calculated as:
f(x) = a * (1 + r)^x
Substitute known values
f(x) = 3 * (1 + 0.2)^x
Evaluate the sum
f(x) = 3 * (1.2)^x
Hence, the exponential model of the data is f(x) = 3 * (1.2)^x
Read more about exponential models at:
brainly.com/question/7296382
Answer:
The value of k is -11
Step-by-step explanation:
If (x+2) is a factor of x3 − 6x2 + kx + 10:
Then,
f(x)=x3 − 6x2 + kx + 10
f(-2)=0
f(-2)=(-2)³-6(-2)²+k(-2)+10=0
f(-2)= -8-6(4)-2k+10=0
f(-2)= -8-24-2k+10=0
Solve the like terms:
f(-2)=-2k-22=0
f(-2)=-2k=0+22
-2k=22
k=22/-2
k=-11
Hence the value of k is -11....
Answer: [H+] = 10^-7.2
Step-by-step explanation:
Given that the PH of the solution = 7.2
Using the formula pH = –log[H+]. To get the H+ concentration from the pH, raise both sides by the base of 10. Then we have
10^ -pH = H+. with pH of 7.2,
Thus the answer to this problem is
[H+] = 10^-7.2
Answer:
117
Step-by-step explanation:
8×9=72
72+45=175
this is why the answer is 117
We calculate for the taxable income by subtracting the tax free allowance from the gross income.
Taxable income = Gross income - tax free allowanc
Taxable income = (£12,000 - <span>£6,475)
= </span><span>£5,525
Hence, the taxable income is equal to </span><span>£5,525.
Net income:
This would be equal to the gross income minus the amount of taxes to be paid.
Net income = Gross income - amount of tax to be paid
Net income = (</span><span>£12,000) - (0.20)($5,525)
Net income = $10,895
Therefore,
ANSWER: <em>$10,895</em></span>
