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cluponka [151]
3 years ago
11

You can afford a $1150 per month mortgage payment. You've found a 30 year loan at 8: interest compounded monthly. a) How big of

a loan can you afford?​
Mathematics
1 answer:
jarptica [38.1K]3 years ago
3 0

Answer:

PV= Max Loan amount = PMT*B(i,T) and PMT = 1200. Calculate B(i,T) = B(6%/12, 360)

=(12/.06)(1-(1/(1.005))360)  I will let you complete the calculation

Step-by-step explanation:

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Find the general solution for the differential equation (dy)/(dx) + 3y = 18<br> Y=
harkovskaia [24]

Answer:

y=-e^{-3x-c_1}+6

Step-by-step explanation:

\frac{dy}{dx}+3y=18\\\\\mathrm{Substitute\quad }\frac{dy}{dx}\mathrm{\:with\:}y'\:\\\\y'\:+3y=18\\\\Rewrite\\\\\frac{1}{6-y}y'\:=3\\\\Solve \::\frac{1}{6-y}y'\:=3\\\\-In(6-y)=3x+c_1\\\\Isolate\:y\\\\\\y=-e^{-3x-c_1}+6

5 0
3 years ago
Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 9 sin(xy), (0, 8)
malfutka [58]

Answer:

The magnitude is  \Delta f(0,8)  =  72

The  direction  is  i i.e toward the x-axis

Step-by-step explanation:

From the question we are told that

   The function is  f(x, y) =  9sin(xy) \ \ \

    The point considered is  (0,8 )

Generally the maximum rate of change of f at the given point and the direction is mathematically represented as

            \Delta f(x,y) =  [\frac{\delta  f(x,y)}{\delta x } i + \frac{\delta  f(x,y)}{\delta y } j  ]

             \Delta f(x,y) =  [\frac{\delta  (9sin(xy))}{\delta x} i  + \frac{\delta  (9sin(xy))}{\delta y} i   ]

            \Delta f(x,y) = [9y cos (x,y) i +  9xcos (x,y) j]

At  (0,8 )

            \Delta  f (0,8) =  [9(8) cos(0* 8)i  + 9(8) sin(0* 8)j  ]

            \Delta  f (0,8) = 72 i

3 0
3 years ago
There is a stack of books that is 12 4/9 inches tall. If we take a book off the stack that is 2/9 inches thick. How high is the
Yanka [14]

Answer: It would be 12 2/9

Step-by-step explanation: 4/9-2/9=2/9 Hope this helps!:)

7 0
3 years ago
I really need help please
Iteru [2.4K]
Answer is C
Because 2 is your Y intercept and -1/2 means your going to move down 1 then move 2 to the right
7 0
3 years ago
Read 2 more answers
Classify each function as even, odd, or neither even nor odd.
drek231 [11]

The function

f(x) is even

g(x) is neither even nor odd

h(x) is odd

Steps:

for an even function it holds that f(-x) = f(x):

f(-x) = (-1)^6 x^6  - (-1)^4 x^ 4 = x^6 - x^4 = f(x) => f is even

for an odd h(x) it holds that h(-x) = -h(x):

h(-x) = (-1)^5x^5-(-1)^3x^3 = -(x^5-x^3) = -h(x) \implies h(x)\,\, \mbox{even}

It is easy to show that g(x) does not match any of the two possibilities above.


8 0
3 years ago
Read 2 more answers
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