-x+4y= -17
-x= -17-4y multiply everything by -1
x=17+4y
-6X-2y=2
-6(17+4y) - 2y=2
-102-24y-2y=2
-26y=2+102
-26y=104
y= -104/26
y= -4
x=17+4y
x=17+4•4
x=17+16
x=33
The interest rate is 7.69%
Step-by-step explanation:
Given
Interest = $200
Time = t = 30 months
Time will be converted into years as the rate is applied yearly
So,
1 year = 12 months
30 months = 30/12 years = 2.5 years
Principal amount = $1040
The formula for interest is:

Putting the values

Converting into percentage:
r = 7.6923
Rounding off to nearest hundredth
r = 7.69%
Hence,
The interest rate is 7.69%
Keywords: Interest, percentage
Learn more about interest at:
#LearnwithBrainly
Answer:
C)
Step-by-step explanation:
Trigonometry ratio:

We need to find the opposite side using Pythagorean theorem.
opposite side² = hypotenuse² - adjacent side²
= 10² - (-3)²
= 100 - 9
= 91
opposite side = √91


In quadrant II, value of tan
is negative.

This is a Logic Problem. So we need to use operators to solve this problem. There are several operators in logic. Operators can be <em>monadic</em> or <em>dyadic</em>. A monadic operator operates on a single simple statement. Other operators will all be dyadic operators <span>because they operate on two simple statements. So in this problem we have the following operators:
</span>
1. The negation operator:
<u>Symbol:</u> ~
<u>Symbol name:</u> Tilde
<u>Parts of negation</u><span><u>:</u> A simple statement with a tilde preceding it</span>
2. Conjunction:
<u>Symbol:</u> &
<u>Symbol name:</u> Ampersand
<u>Parts of conjunction:</u> <span>Two simple statements joined by the conjunction symbol.
</span>
So we can name the statements as follows:
A: I am at home
B: I am playing video games
So the translations is as follows:
~(A&B) = It is not the case that I am at home and am playing video games
Answer: t = 34
Step-by-step explanation:
Since 15 was multiplied by two to get 30 as the denominator, you would multiply 17 by 2 therefore getting 34 = t.