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schepotkina [342]
3 years ago
13

Elliot borrows $900 to buy an appliance at a yearly simple interest rate. He takes 3 years to pay off the loan and interest. He

pays $135 in interest. What is the interest rate?
Mathematics
1 answer:
V125BC [204]3 years ago
6 0
He pays $135 for 3 years. So that’s $45/year. Considering 900 is your 100%, how many percents are represented by $45 in 900?

1)
You can see that 900 = 9x100.
So you can divide 900 by 9 to get 100.
That means you can also divide 45 by 9 (it’s proportional)
You have 45 for 900, you divide by 9 so you get 5 for 100 -> 5%

Or 2)
(Photo)
It’s a cross-multiplication :
(45 x 100)/900 = 5%
So the interest rate is 5%.


(Sorry if it’s confusing, English isn’t my first language..)

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VLD [36.1K]
75 is 125% of 60. Hope this helps! :)
7 0
4 years ago
What is the solution to the system of equations below? y = -3X+5 and y=4x-2 (1, 2) (1, –18) (–1, 8) (–1, –6)
Maurinko [17]

Answer:

(1, 2 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 5 → (1)

y = 4x - 2 → (2)

Substitute y = 4x - 2 into (1)

4x - 2 = - 3x + 5 ( add 3x to both sides )

7x - 2 = 5 ( add 2 to both sides )

7x = 7 ( divide both sides by 7 )

x = 1

Substitute x = 1 into (2) for corresponding value of y

y = (4 × 1) - 2 = 4 - 2 = 2

Solution is (1, 2 )

4 0
3 years ago
Read 2 more answers
Integrate the following:<br><img src="https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Cint%20%5C%3A%20%20%5Ctan%28x%29%20%20%20%5
Korvikt [17]

Answer:

\huge \boxed{\red{ \boxed{  -  \cos(x)  + C}}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • integration
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<h3>tips and formulas:</h3>
  • \tan( \theta)  =  \dfrac{ \sin( \theta) }{ \cos( \theta) }
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<h3>let's solve:</h3>
  1. \sf \: rewrite \:  \tan( \theta)  \:  as \:   \dfrac{ \sin( \theta) }{ \cos( \theta) }  :  \\   =  \displaystyle  \int \:  \frac{ \sin(x) }{ \cos(x) }  \cos(x)  \: dx \\   = \displaystyle \int \:  \frac{ \sin(x) }{ \cancel{\cos(x) }}   \: \cancel{ \cos(x)}  \: dx \\     = \displaystyle \int \:  \sin(x)   \: dx
  2. \sf \: use \: the \: formula : \\   \sf \displaystyle     - \cos(x)
  3. \sf add \: constant :  \\   -  \cos(x)  + C

\text{And we are done!}

6 0
3 years ago
Read 2 more answers
1. Write a two-column proof.
Alexandra [31]

Answer:

Check it below, please

Step-by-step explanation:

Hi there!

Let's prove segment AB is perpendicular to CD. Attention to the fact that a two column proof has to be concise. So all the comments can't be exhaustive, but as short as possible.

Let's recap: An isosceles triangle is one triangle with at least 2 congruent angles.

Statement                     Reason

\overline{AB} \cong \overline{AC}\\                     Given

\widehat{ACB} \:bisects\: \overline{AB}        Isosceles Triangle the altitude, the bisector coincide.          

\overline{AD} \cong \overline{DB}               Bisector equally divide a line segment into two congruent      

m\angle CDA =m \angle CBD=90^{\circ} Right angles, perpendicular lines.                  

\overline{CD}\perp \overline{AB}                    Perpendicular Line segment      

8 0
3 years ago
If
Nikolay [14]

Answer:

46

Step-by-step explanation:

4 x 2= 8

3 x 5= 15

2(8 +15)= 2(23)=

23 x 2= 46

8 0
3 years ago
Read 2 more answers
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