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3 years ago

— 3x — 8y = 20 y = 5х + 19 i need help plsssss

Mathematics

1 answer:

marysya [2.9K]3 years ago

7 0

Answer:

one solution (-4, -1)

Step-by-step explanation:

i hope this helps :)

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Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the fo

lakkis [162]

Answer:

c) A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

Step-by-step explanation:

Hi, well, let´s transform all this nominal rates into effective annual rates.

Loan A: 9.265% nominal rate, compounded weekly

In order to find the easiest effective rate, we need to divide this rate by 52 (which are the weeks in a year). Once we do that, we convert this effective weekly rate into an effective annual rate. Let´s walk you through all this.

$r(E.week)=\frac{0.09265}{52} =0.00178173$

Or 0.178173% effective weekly. Now we can transform it into an effective annual rate.

$r(e.a)=(1+r(e.week))^{52} -1$

$r(e.a)=(1+0.00178173)^{52} -1=0.09699$

Or 9.669% annual, which is less than 9.955%, so this one is sellected, let´s check the next.

Loan B: 9.442% nominal rate, compounded monthly

Just like we did with Loan A, we need to divide this rate too, only this time, we will divide by 12, therefore obtaining an effective monthly rate.

$r(E.month)=\frac{0.09442}{12} =0.00786833$

Or 0.786833% effective monthly, let´s turn it into a effective annual rate.

$r(e.a)=(1+r(e.month))^{12} -1$

$r(e.a)=(1+0.00786833)^{12} -1=0.09862$

Or 9.862% annual, so this rate would work for Melanie too. This means that option C) is the answer we are looking for but, let´s walk that extra mile and turn that Loan C rate into an annual rate.

$r(E.quarter)=\frac{0.09719}{4}=0.0242975$

or 2.42975% effective quarterly, now, let´s convert it into an effective annual rate.

$r(e.a)=(1+0.0242975)^{12} -1=0.10079$

That is 10.079% effective annual, therefore, Loan C is not an option for Melanie.

Best of Luck.

5 0

3 years ago

Read 2 more answers

What is the perimeter of the fifth square in this pattern?

torisob [31]

The first square has side lengths of 4 units(because the square root of 16 is 4). The second square has side lengths of 8 units. The third square has side lengths of 12 units. As you can tell, the side lengths increase by 4. So the fourth square will have side lengths of 16 units, and the fifth square will have side lengths of 20 units. The question wants the perimeter, so the answer is 20*4(sum of 4 sides of equal lengths) which is 80 units.

5 0

3 years ago

What is a equation in slope intercept form for a line that passes through (5,4) and has a slope of -5

liubo4ka [24]

Answer:

Step-by-step explanation:

The easiest way to complete this is too use this data and put it into point-slope form. This is written as, y-y1=m(x-x1)

In this equation y1 is the y- coordinate of your point and x1 is the x-coordinate. M in this case would also be known as the slope.

Now we can submit our data-----

y-4=-5(x-5) -------- simplify

y-4=-5x+25 --------

y=-5x+28

6 0

4 years ago

I really need this pleaseeee give me the right answer. I need it to pass the class

lyudmila [28]

The answer is 9 ahem

7 0

3 years ago

Factor quadratic trinomials 27x^2-90x+27

igor_vitrenko [27]

27x^2-81x-9x+27 In this case, just in your mind multiply 27 (coefficient of x^2) by the constant value 27(the end value of the quadratic trinomial). Then find factors that give you the value -90 when you add and 729 (27*27) when you multiply.

Factorise the values
27x( x-3)-9(x-3)

Which will give you

(27x-9)(x-3)

8 0

3 years ago