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2 years ago

Please show the work/explain. I need to write it down.

Mathematics

1 answer:

Maksim231197 [3]2 years ago

5 0

9514 1404 393

Answer:

20 months
$5500

Step-by-step explanation:

There are a couple of ways to work a problem like this. You have probably been taught to write equations for each of the payment amounts as a function of time, then equate those values to solve for the time that makes them equal.

at dealer 1, the total amount paid (y) will be a function of months (x):

y = 2500 +150x

at dealer 2, the corresponding equation is ...

y = 3000 +125x

These are equal when ...

y = y

2500 +150x = 3000 +125x

25x = 500 . . . . . . . . . subtract 125x +2500 from both sides

x = 500/25 = 20

The total paid will be the same after 20 months.

That amount is ...

y = 2500 +150(20) = 5500

$5500 will be paid to either dealer after 20 months.

The other way to work the problem is to "cut to the chase". The difference in down payment is made up at the rate of difference in monthly payments. So The number of monthly payments (x) required to equal the difference in down payments is ...

25x = 500 . . . . . . . . . you may recognize this equation from above

x = 500/25 = 20

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Step-by-step explanation:

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The perimeter of one equilateral triangle is P

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2 years ago

(7 + 7i)(2 − 2i)

Ostrovityanka [42]

The complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

$\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)$

$\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)$

$\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}$

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

=21-21i

After converting into the exponential form:

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

From part (b) and part (c) both results are the same.

Thus, the complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

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2 years ago

I need the answer please

alina1380 [7]

Answer:

the answer is c

Step-by-step explanation:

its the only one that makes sense

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