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qaws [65]
3 years ago
11

Tom owns a $160,000 home, for which he has a 30-year mortgage in the amount of $900 a month. Once he has paid off the mortgage,

how much will he have paid in interest?

Mathematics
2 answers:
julsineya [31]3 years ago
8 0

A he will pay $164,000

olga_2 [115]3 years ago
7 0
164,000 in interest
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The height h of a projectile is a function of the time t it is in the air. the height in feet for t seconds is given by the func
alexgriva [62]

Domain means the values of independent variable(input) which will give defined output to the function.

Given:

The height h of a projectile is a function of the time t it is in the air. The height in feet for t seconds is given by the function

h(t)=-16t^2 + 96t

Solution:

To get defined output, the height h(t) need to be greater than or equal to zero. We need to set up an inequality and solve it to find the domain values.

To \; find \; domain:\\\\h(t) \geq0\\\\-16t^2+96t \geq  0\\Factoring \; -16t \; in \; the \; left \; side \; of \; the \; inequality\\\\-16t(t-6) \geq  0\\Step \; 1: Find \; Boundary \; Points \; by \; setting \; up \; above \; inequality \; to \; zero.\\\\t(t-6)=0\\Use \; zero \; factor \; property \; to \; solve\\\\t=0 \; (or) \; t = 6\\\\Step \; 2: \; List \; the \; possible  \; solution \; interval \; using \; boundary \; points\\(- \infty,0], \; [0, 6], \& [6, \infty)

Step \; 3:Pick \; test \; point \; from \; each \; interval \; to \; check \; whether \\\; makes \; the \; inequality \; TRUE \; or \; FALSE\\\\When \; t = -1\\-16(-1)(-1-6) \geq  0\\-112 \geq  0 \; FALSE\\(-\infty, 0] \; is \; not \; solution\\Also \; Logically \; time \; t \; cannot \; be \; negative\\\\When \; t = 1\\-16(1)(1-6) \geq  0\\80 \geq  0 \; TRUE\\ \; [0, 6] \; is \; a \; solution\\\\When \; t = 7\\-16(7)(7-6) \geq  0\\-112 \geq  0 \; FALSE\\ \; [6, -\infty) \; is \; not \; solution

Conclusion:

The domain of the function is the time in between 0 to 6 seconds

0 \leq  t \leq  6

The height will be positive in the above interval.

7 0
3 years ago
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Can someone please help me understand this problem!!’?
elena55 [62]

Answer:

THE ANSWER IS 4 I SWEAR

Step-by-step explanation:

3 0
2 years ago
If f(x) = -x^2 + 6x - 1 and g(x) = 3x^2 - 4x - 1, find (f + g)(x).
Alenkinab [10]

f(x)=-x^2+6x-1 \\g(x)=3x^2-4x-1 \\f(x)+g(x)=-x^2+6x-1+3x^2-4x-1=\boxed{2x^2+2x-2}

The answer is A.

Hope this helps.

r3t40

5 0
3 years ago
Whats is 2,000,000×543,754
pogonyaev
Your answer is 1,087,508,000,000.
6 0
3 years ago
The parabola y=x^2 is reflected across the x-axis and then scaled vertically by a factor of 4/3 What is the equation of the new
Strike441 [17]

Answer: y = -\frac{4}{3}x^{2}

<u>Step-by-step explanation:</u>

y = ax² ; where a represents the vertical stretch

a reflection across the x-axis is represented by making the a-value negative.

7 0
3 years ago
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