Answer:
Sarah has to invest $502,958.58 today.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
In this question:
She has to invest P today.
So
Sarah has to invest $502,958.58 today.
Answer: (12,9), (6,9), (12,-6) and (6,-6)
Step-by-step explanation:
Given: The coordinates of the original rectangle are (8, 6), (4, 6), (8, −4), and (4, −4). We know that the coordinates of the image after dilation from the origin by a scale factor of k is given by:_
Then, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are given by:_
(8, 6)→
(4, 6)→
(8, −4) →
(4, −4)→
Hence, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are (12,9), (6,9), (12,-6) and (6,-6).