Answer:
D. The linear parent function
Step-by-step explanation:
Linear functions are always characterized by a straight line graph with or without an intercept on the vertical or horizontal axis. A linear function usually has an independent variable and a dependent variable. The independent variable is commonly depicted as x while the dependent variable is y.
Thus a linear equation is an equation of the type y=ax where a is a constant term. The equation of a straight line graph his y=mx +c, where;
m= gradient of the straight line graph
x= the independent variable
y= the dependent variable
c= the vertical intercept
Invested amount (P) = $300.
Time in years (t) = 2 years.
Balance after 2 years (A) = $329.49.
Let us assume rate of interest = r % compounds annually.
We know, formula for compound interest
Plugging values in formula, we get
Taking square root on both sides, we get
r=0.048.
Converting it into percentage by multiplying by 100.
r=0.048 × 100
r = 4.8 %
Therefore, the rate of interest on the account is 4.8% compounds annually.
Answer:
She is doing a mistake of calculating interest after 9 months in place of after 12 months.
Step-by-step explanation:
Samantha deposit $300 in an account that earns an annual interest rate of 2.5%.
Now, Samantha after nine months of deposit computes the simple interest.
She is doing a mistake of calculating interest after 9 months in place of after 12 months.
The calculation of interest should be on a yearly basis (i.e. 12 months) as the interest rate is 2.5% per year. (Answer)
The scale factor that was applied to figure A to produce figure B is: 11/3 = 3.67.
<h3>How to Find the Scale Factor of a Dilation?</h3>
The ratio of the corresponding dimensions of the image to the preimage gives the scale factor of any dilation.
That is:
Scale factor = dimension of image (new figure) / corresponding dimension of pre-image (original figure).
The scale factor that was applied to figure A to produce figure B = dimension of figure B / corresponding dimension of figure A.
A dimension of figure B = 33
Corresponding dimension of figure A = 9
Therefore, we would find the scale factor as shown below:
The scale factor that was applied to figure A to produce figure B = 33/9
= 11/3 = 3.67
Therefore, the scale factor that was applied to figure A to produce figure B is: 11/3 = 3.67.
Learn more about the scale factor on:
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