Answer:
<h2>
y = ²/₃x + ⁴/₃</h2>
Step-by-step explanation:
The point-slope form of the equation of line: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = 2/3x + 1 ⇒ m₁ = 2/3 ⇒ m₂ = 2/3
(-5, -2) ⇒ x₁ = -5, y₁ = -2
point-slope form:
y - (-2) = 2/3(x - (-5))
y + 2 = 2/3(x + 5)
y + 2 = 2/3x + 10/3 {subtact 2 from both sides}
y = 2/3x + 4/3 ← slope-intercept form
Answer:
C. t=$8, s=$12
Step-by-step explanation:
3($8)+4($12)=$72
4($8)+1($12)=$44
Answer:
$46,141.71
Step-by-step explanation:
This looks about right, based on weekly deposits for the duration. However, I cannot vouch for it entirely, as the number of weekly deposits in 15 years will actually be 782.
_____
Computing this by hand doing the initial balance separately from the weekly deposits, I get a total of $46,252.10 using 782 weekly deposits. For that purpose, I tried to figure an equivalent weekly interest rate given monthly compounding and the fact there are 52 5/28 weeks in a year on average.
I suspect the only way to get this to the cent would be to build a spreadsheet with payment dates and interest computation/payment dates. Some months, there would be 5 deposits between interest computations; some years there would be 53 deposits.
Answer:
D
Step-by-step explanation:
We know that vector addition is scalar addition.
Given vectors are u = <-3.5, -1.5> and v = <-1.25, 2.25>
2v = < -2.5, 4.5>
2v - u = < -2.5, 4.5> - <-3.5, -1.5> = < -2.5 - (-3.5) , 4.5 -(-1.5) >
2v-u = < 1 , 6 >
This vector is basically i + 6j which is drawn in option D
Are 6 and 15 the legs of the triangle?