alright...
we know line (c)'s equation which is y = -2x + 3 and we also know that line (c) is perpendicular to line (b) ...which means line (b)'s slope would be the
reciprocal of line (c)'s slope... we know line (c)'s slope is -2 which means line (b)'s slope will be 1/2.... we also know that line (b) goes through (3,1)...now we can easily find (b)'s equation
(y - 1) / (x - 3) = 1 / 2
simplifying this equation gives us.... 2y - 2 = x - 3 which comes out to y = 1x/2 - 1/2
now that we know the equation for line (b), we can easily find the equation of line (a), since line (a) is parallel to line (b) and we know line (a) goes through (1,2) , ... using the same process...
(y - 2) / (x - 1) = 1/2
2(y - 2) = 1(x - 1)
2y - 4 = x - 1
2y = x + 3
y = 1x/2 + 3/2
now that we know what line (a)'s equation is, we can now find the y-intercept of line (a)
y = (0)/2 + 3/2 = y = 3/2
therefore the y-intercept for line (a) is (3/2)
I hope this helps....
I take my payment in subscribers!
link to my youtube channel: https://www.youtube.com/channel/UCqxQ7Le8CezZNWVhXK5km-w
I hope you have a nice day! ![]()
Hey there! Calculating the monthly deposit required to accumulate $90,000 in 16 years with an APR of 5% is an important step towards building a college fund for your child.
To determine the monthly deposit, we can use the formula for the future value of an ordinary annuity:
FV = P * [(1 + r)^n - 1] / r
Where: FV is the future value ($90,000), P is the monthly deposit, r is the monthly interest rate (APR divided by 12), and n is the total number of months (16 years multiplied by 12 months).
Plugging in the values, we have:
$90,000 = P * [(1 + 0.05/12)^(16*12) - 1] / (0.05/12)
To solve for P, we can rearrange the equation:
P = ($90,000 * (0.05/12)) / [(1 + 0.05/12)^(16*12) - 1]
Performing the calculations, the monthly deposit required to accumulate $90,000 in 16 years at an APR of 5% is approximately $321.35.
Besides that I must note that I not long ago did writing with the help of https://phdessay.com/free-essays-on/childhood-memories/ and from where I remembered about childhood memories, it was so melancholic, it seems that in general I am a melancholic person, but I adore helping school children with solving these math problems, they seem so easy to me.