Answer:
<h2>
a 135° rotation.</h2>
Step-by-step explanation:
As you can observe in the image attached, the preimage RST is a tringle "pointing" to the negaitve side of the vertical axis (taking point S as reference).
The transformed triangle R'S'T' is pointing to the diagonal of the first quadrant, with a 45°, approximately.
The rotation needed in such transformation would be 90° + 45° = 135°, becasue from -y to +x there're 90°, then we rotate 45° to reach the position of R'S'T'.
Therefore, the right asnwer is a 135° rotation.
Answer:
5.2%
Step-by-step explanation:
((999.4 × 100) ÷ 950) - 100
(99,940 ÷ 950) - 100
105.2 - 100
5.2
The interest that the savings earned in a year in terms of hours of work is <u>B. 20 hours</u>.
<h3>What is the interest?</h3>
Interest is the additional earning obtained from an investment.
It is computed as the principal multiplied by the annual percentage rate (APR) and the period.
Earnings per hour = $10
Investment = $4,000
APR = 5%
Period of investment = 1 year
Interest earned = $200 ($4,000 x 5% x 1)
Interest earned expressed as hours = 20 hours ($200/$10)
Thus, the investor, who earns $10 per hour, earns <u>20 hours</u> in interest by investing $4,000 at 5% in a year.
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Using a linear function, the total charge from parking in the lot for 72 hours is of:
b. $146.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Both the basic fee, which is the y-intercept, and the hourly fee, which is the slope, are of $2, hence the cost of parking x hours is given by:
C(x) = 2x + 2
Hence the cost for parking 72 hours is:
C(72) = 2 x 72 + 2 = 2 x 73 = $146.
Which means that option b is correct.
More can be learned about linear functions at brainly.com/question/24808124
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