Answer:
0.0000625
Step-by-step explanation:
Explanation: This is a linear equation because it's written in slope-intercept form or <em>y = mx + b</em> where the multiplier or the coefficient of the x-term represents the slope of the line and the<em> b</em> represents the constant term.
So the slope will be the coefficient of the <em>x-term</em> which means the number that is in front of the <em>x</em> which in this case is -5/4.
The y-intercept is the constant term which is +8
4 40
5 50
6 60
7 70
8 80
9 90
10 100
11 110
12 120
13 130
14 140
15 150
16 160
17 170
18 180
Based on the types of compounding and the interest rates, the following are true:
- Part A - The group will have $750
- Part B - The group will have $759.19
When using simple interest, the amount the group will have is:
<em>= Amount x ( 1 + rate x number of years )</em>
= 600 x ( 1 + 5% x 5)
= $750
When using compound interest, the group will have:
<em>= Amount x ( 1 + rate) ^ Number of years</em>
= 600 x ( 1 + 4%)⁶
= $759.19
In conclusion, compound interest yields more.
<em>Find out more about </em><em>compound interest </em><em>at brainly.com/question/25263325. </em>
Answer:
x = 18
y = 15
Step-by-step explanation:
Remark
Step One
The main step is to realize that if the lower left hand angle is 90 degrees, then the upper left hand angle is also 90. That is because the interior angles of parallel lines are supplementary. If one of the angle is 90 degrees, so is the other.
<em><u>Conclusion from the Remark</u></em>
5x = 90
x = 90/5
x = 18 degrees
Step Two
Find y
y is just a bit harder to find . The safest way is to add all four interior angles together. For any trap*zoid (you cannot spell this word properly. The editor has a fit), the interior angles add up to 360 degrees.
So just add the 4 angles together and equate to 360
5(y + 11) + 4y - 10 + 90 + 90 = 360 Combine like terms
5(y + 11) + 4y - 10 + 180 = 360 Combine again
5(y + 11) + 4y + 170 = 360 Subtract 170 from both sides
5(y + 11) + 4y = 360 - 170 Combine like terms
5(y + 11) + 4y = 190 Remove the brackets
5y + 55 + y4 = 190 Combine like terms
9y + 55 = 190 Subtract 55 from both sides.
9y = 190 - 55
9y = 135 Divide by 9
y = 135 / 9
y = 15
