Identify the domain of the graph given. *Don't forget the parenthesis or brackets*
1 answer:
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Answer:
The Annual rate of interest for the mortgage is 1.8%
Step-by-step explanation:
Given as :
The mortgage principal = p = $167,000
The time period of mortgage = t = 20 years
The Amount paid towards mortgage in 20 years = A = $240,141
Let the Annual percentage rate on interest = r % compounded annually
Now, <u>From Compound Interest method</u>
Amount = Principal ×
Or, A = p ×
Or, $240,141 = $167,000 ×
or, =
Or , 1.437 =
Or, =
or, 1.018 =
Or, = 1.018 - 1
Or, = 0.018
∴ r = 0.018 × 100
i.e r = 1.8
So, The rate of interest applied = r = 1.8 %
Hence, The Annual rate of interest for the mortgage is 1.8% Answer
Answer:
Triangle DEF is a right, scalene triangle. It is not isosceles, obtuse, acute, or equilateral
Step-by-step explanation:
All we know about m and n are that they are not equal to each other and they are positive. This was given in the problem. See image. Once it is graphed you can see on the graph the lengths of DE and EF. Use Pythagorean theorem to calculate DF. see image.
DE is horizontal and EF is vertical, so you can see their slopes or calculate using a formula. Calculate the slope of DF. Slope is y-y on top of a fraction and x-x on the bottom of the fraction.
Lastly, use midpoint formula to find the midpoints. Average the x's and average the y's to find the x- and y-coordinates of the midpoints. See image.
Finally, DEF is a right triangle. The graph as well as the slopes show us that DE and EF form a right angle. So DEF must be a right triangle (and not obtuse nor acute) We were told that m doesNOT equal n, so the triangle cannot have two equal sides, so it cannot be isosceles (2 equal sides) nor equilateral (3 equal sides) It has 3 different lengths of sides; that is called scalene.
