Answer:$728
Step-by-step explanation:
$156,000 less 20% is $124,800.
That is the amount that is being financed. If the rate is7% per year the first months interest is:
124,800*.07/12 = $728
You didn't ask but if the mortgage is like most conventional mortgages the 30 * 12 = 360 payments are all approximately equal, with less money expended on paying down the principal at first. Their equal payment would be: $830.30
Answer:
The value of m is 1000 for r=5
Step-by-step explanation:
Given that m is proportional to the cube of r
It can be written as:

When the proportionality symbol is removed a proportionality constant is introduced in the equation.
Let k be the proportionality constant

Given
r=3,m=216
Putting the values

The equation will now become

Putting r = 5

Hence,
The value of m is 1000 for r=5
Answer:
26
Step-by-step explanation:
Firstly, plot the points on graph paper which you can find on the internet. The first number in the ordered pair, (the ones in parenthesis), is the x coordinate. The other number is the y coordinate. Put these onto a graph which is attached. The perimeter is 26.
Slope = (y2 - y1)/(x2 - x1) = (10 - 70)/(5 - (-15)) = -60/(5 + 15) = -60/20 = -3
By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)
<h3>How to solve an algebraic equation</h3>
In this question we have an equation that can be solved by <em>algebraic</em> definitions and theorems, whose objective consists in clearing the variable x. Now we proceed to solve the equation for x:
- - 10 · x + 1 + 7 · x = 37 Given
- (- 10 · x + 7 · x) + 1 = 37 Associative property
- -3 · x + 1 = 37 Distributive property/Definition of subtraction
- - 3 · x = 36 Compatibility with addition/Definition of subtraction
- x = 12 Compatibility with multiplication/a/(-b) = -a/b/Definition of division/Result
By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)
To learn more on linear equations: brainly.com/question/2263981
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