Answer:
- <u>BOX 1 </u>= 672.00
(14 * 12 = 168
168 * 4 = $ 672 )
2. <u>BOX 2</u> = 282.95
(Cell phone= $45 A MONTH
Eating outside = $50 A MONTH
12 .50 * 4 = 50 (4 WEEKS A MONTH )
Transportation = 131.2 A MONTH
32.80 * 4 = 131.2 (4 WEEKS A MONTH )
Movie = $16.75 A MONTH
Charity = $ 40 A MONTH
10 * 4 (4 WEEKS A MONTH )
<u> MONTHLY EXPENSE </u> = 45 + 50 + 131.2 + 16.75 + 40
<u> MONTHLY EXPENSE </u> = 282.95 )
3. <u>BOX 3</u> = 389.05
Money that can be saved = Monthly income - Monthly expense
Money that can be saved = 672 - 282.95
= 389.05
<h2><em>
<u>please give brainliest </u></em></h2>
Recall that
where 
is the angle between the vectors 
whose magnitudes are 
, respectively.
We have
Please find attached photograph for your answer.
0 solutions because simplifying the equation gives us 1 = 5, which is never true
Answer:
-29/31
Step-by-step explanation:
We are given;
The equations;
2x+3y–5=0 and 5x=7y+3
We are required to determine the tangent of the angle between the two lines;
We need to know that;
When an equation is written in the form of, y = mx + c
Then, tan θ = m , where θ is the angle between the line and the x-axis.
Therefore, we can find the tangent of the angle between each line given and the x-axis.
2x+3y–5=0
we first write it in the form, y = mx + c
We get, y = -2/3x + 5/3
Thus, tan θ₁ = -2/3
5x=7y+3
In the form of y = mx + c
We get; y = 5/7x - 3/7
Thus, tan θ₂ = 5/7
Using the formula, θ = tan^-1((m1-m2)/(1+m1m2)) , where θ is angle between the two lines.
Thus, the tangent of the angle between the two lines will be;
tan θ = ((m1-m2)/(1+m1m2))
= ((-2/3-5/7)/(1 + (-2/3 × 5/7)))
= -29/21 ÷ 31/21
= -29/31
Thus, the tangent of the angle between the two lines is -29/31
