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Marina CMI [18]
2 years ago
9

A pair of equations is shown below.

Mathematics
1 answer:
maksim [4K]2 years ago
8 0

Answer:

4,3

Step-by-step explanation:

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Inez has to pay 4 percent in closing costs and 16 percent for the down payment on a purchase of $225,500 with an ARM. Over the l
vivado [14]

Answer:

A. $307,172.72

Step-by-step explanation:

Inez has to pay 4 percent in closing costs and 16 percent for the down payment on a purchase of $225,500 with an ARM.

4% + 16% = 20%

lnez has to pay 20% of $225,500

= 225,500*20/100

= 225,500*0.2

= $45100

lnez has to pay $45100.

Over the life of the loan, lnez will pay $262,072.72

Now we have to add down payment, closing cost and the payment over the life of the loan.

$45100 + $262,072.72

= $307,172.72

Answer: A. $307,172.72

Thank you.

5 0
3 years ago
Read 2 more answers
A boat is 400 feet away from one dock and 500 feet away from another dock the angle between the two paths is 45. What is the app
snow_lady [41]

Use the law of cosines. Let x be the distance between the docks, which forms a third leg of a triangle for which the angle opposite it has measure 45 degrees. The other two legs have lengths 400 ft and 500 ft. So

x^2=400^2+500^2-2\cdot400\cdot500\cos45^\circ

\implies x\approx356.59\,\mathrm{ft}

3 0
3 years ago
Read 2 more answers
Part 3: The function f(x) = 2* is reflected vertically, translated 5 units
Naily [24]

Answer:

First, let's define the transformations in a general way.

Vertical translation:

A vertical translation of N units is defined as:

g(x) = f(x) + N

if N is positive, the translation is up

if N is negative, the translation is down.

Horizontal translation:

A horizontal translation of N units can be written as:

g(x) = f(x - N)

if N is positive, the translation is to the right

if N is negative, the translation is to the left.

Reflected vertically (or a reflection over the x-axis)

This type of reflection changes the sign of the y component.

We can write those as:

g(x) = -f(x)

Then:

We start with the function:

f(x) = 2^x

First we reflect it vertically.

g(x) = -2^x

now we do a vertical translation of 5 units up, then:

g(x) = -2^x + 5

Now we do a translation of 3 units to the left, then we get:

g(x) = - 2^(x + 3) + 5

Then we already did the first step.

Now we want to find the domain for this function, the domain will be the set of the possible values of x that we can input in the function g(x).

Notice that in this function the denominator is never zero, so there are no values of x that generate problems here, so the domain will be the set of all real numbers, that can be written as:

(-∞, ∞)

3) Now we want to find the range, this is the set of the possible values of g(x).

The Largest value of g(x) will be when the exponential part tends to zero, this is for really small values of x, such that when x goes to minus infinity, -2^(x + 3) goes to zero.

Then:

g(-∞) ≈ 5

The maximum of the range is 5.

And we do not have a minimum, because as x increases the function will decrease infinitely.

Then the range will be:

(-∞, 5)

(A graph of the function can be seen below)

5 0
2 years ago
What are the focus and directrix of the parabola with the equation y= 1/12x^2
bearhunter [10]

Answer:

it would be C) focus: (0,3); directrix: y=-3

Step-by-step explanation:

5 0
3 years ago
Find the volume of a sphere with a radius of 26 ft
Radda [10]

Answer:

Sphere

Solve for volume

V≈73622.18ft³

r Radius

26

ft

I don't know if that's right

4 0
2 years ago
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