Under a dilation, triangle XYZ where X(4, 7), Y(-3, 8), and Z(-2, -1) becomes triangle X’Y’Z’ where X’(12, 21), Y’(-9, 24), and
-BARSIC- [3]
It is 3, the points are all 3 times greater
Answer:
Wow - you are asking a LOT of questions. The Monthly Payment Formula is really tricky so I'll solve that for you.
The time of the loan = 20 years * 12 = 240 months
We have to convert the annual rate to a monthly rate and that is done by:
monthly rate = 5.125 / 1,200 = 0.00427083333333333
Monthly pmt = 0.00427083333333333 + [0.00427083333333333 / (1.00427083333333333^240) -1 ] * 420,000
Monthly pmt = 0.00427083333333333 + [0.00427083333333333 / 2.7810190076 -1] * 420,000
Monthly pmt = (0.00427083333333333 +0.0023979718) * 420,000
Monthly pmt = 2,800.90
A calculator to double check is here: https://www.1728.org/calcloan.htm
Step-by-step explanation:
Answer:
The constant of proportionality is 0.3, or K=0.3.
Step-by-step explanation:
The chart I attached shows points that are plotted on the proportional line. In order to find the constant of proportionality from these points, you have to divide the amount of change by the number of years. For example, 3 divided by 10 or 6 divided by 20. This results in 0.3, which means that every year, there is 0.3 centimeters of change in the sea level.
Ascending means going up
First change into decimals
3/4=0.75
1/12=0.083
9/16=0.5625
7/24=0.291666…..
Start from smallest to largest number
0.291666…..,0.5625,0.75,0.083
Find their fractions
7/24,9/16,3/4,1/12
Answer:7/24,9/16,3/4,1/12