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Blababa [14]
3 years ago
13

Duncan is purchasing a home for $178,000. He makes a 15% down payment and obtains a 15 year fixed rate mortgage loan at 4% annua

l interest. His monthly payments are $1,119.15. H pays an intagible tax of 0.2%. Which of the following is the total cost of principal, interest, down payment, and amount of intagible tax? (show work)
A= $228,449.60
B= $201,447.00
C= $228,503.00
D= $201,749.60
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
6 0
1119.15×12=13,429.8 deposits per year
cost of principal
PVAO=13,429.8×((1−(1+0.04)^(−15))÷(0.04))=149,317.72
interest
13,429.8×15−149,317.72=52,129.28
down payment
178,000×0.15=26,700
intagible tax
178,000×0.002=356

Total cost
52,129.28+356+149,317.72+26,700
=228,503....answer
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Answer:

Step-by-step explanation:

In order to find the horizontal distance the ball travels, we need to know first how long it took to hit the ground. We will find that time in the y-dimension, and then use that time in the x-dimension, which is the dimension in question when we talk about horizontal distance. Here's what we know in the y-dimension:

a = -32 ft/s/s

v₀ = 0 (since the ball is being thrown straight out the window, the angle is 0 degrees, which translates to no upwards velocity at all)

Δx = -15 feet (negative because the ball lands 15 feet below the point from which it drops)

t = ?? sec.

The equation we will use is the one for displacement:

Δx = v_0t+\frac{1}{2}at^2 and filling in:

-15=(0)t+\frac{1}{2}(-32)t^2 which simplifies down to

-15=-16t^2 so

t=\sqrt{\frac{-15}{-16} } so

t = .968 sec (That is not the correct number of sig fig's but if I use the correct number, the answer doesn't come out to be one of the choices given. So I deviate from the rules a bit here out of necessity.)

Now we use that time in the x-dimension. Here's what we know in that dimension specifically:

a = 0 (acceleration in this dimension is always 0)

v₀ = 80 ft/sec

t = .968 sec

Δx = ?? feet

We use the equation for displacement again, and filling in what we know in this dimension:

Δx = (80)(.968) +(0)(.968)^2 and of course the portion of that after the plus sign goes to 0, leaving us with simply:

Δx = (80)(.968)

Δx = 77.46 feet

5 0
3 years ago
Nwhat is the range of data set for 8 1 7 6 14
bazaltina [42]

Answer:

14-1=13 range= 13

Step-by-step explanation:

The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

4 0
3 years ago
In the xy- plane, the graph of the equation y + 3x + 5 is a line that intersects the y-axis at (0,b) what is the value of b?
maxonik [38]

Answer:

b=5

Step-by-step explanation:

The given equation is:

y=3x+5

To find the point where this line intersect the y-axis, we put x=0 into the given equation.

When x=0, we have y=3(0)+5.

This implies that; y=5.

The y-intercept is (0,5).

Comparing (0,5) to (0,b), we can conclude that; b=5

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kotykmax [81]
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3 years ago
What is the slope of the graph?
Dennis_Churaev [7]

Answer:

-4

Step-by-step explanation:

Slope can be found with \frac{y2-y1}{x2-x1}

Pick two points on the graph that the line runs through

(-2, 4) will fill the values of x1 and y1, and (-1, 0) will fill the values of x2 and y2

Insert the coordinates into the formula

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\frac{-4}{1}

Therefore the slope is -4

3 0
3 years ago
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