That point will be where the perpendicular line through the origin intersects the given line.
.. (-1/4)x = 4x +3
.. -3 = (17/4)x
.. -12/17 = x
The point on the given line that is closest to the origin is (-12/17, 3/17).
Answer:
x = 54
Step-by-step explanation:
Let the 3 consecutive integers be,
→ x, x + 1, x + 2
Then the equation is,
→ (x) + (x + 1) + (x + 2) = 165
The required value of x will be,
→ (x) + (x + 1) + (x + 2) = 165
→ 3x + 3 = 165
→ 3x = 165 - 3
→ x = 162/3
→ [ x = 54 ]
Hence, the first integer is 54.
Answer:
I put the table below
Step-by-step explanation:
Find x and y values for the equation.
Put these values into a table
If this answer helps, please make me Brainliest!
Answer:
Eleanor and Peter's total income
= $597.63
Step-by-step explanation:
Eleanor's Income:
Paycheck = $380.48
Eleanor's Expenses:
Birthday gift= $16.50
Peter's income
Paycheck = $120
Sales of his college textbook = $13.65
Check from Peter's father= $100
Peter's total income =Paycheck + Sales of his college textbook + Check from Peter's father
= $120 + $13.65 + $100
= $233.65
Eleanor and Peter's total income
= Eleanor's Income + Peter's total income - Eleanor's Expenses
= $233.65 + $380.48 - $16.50
= $597.63
Eleanor and Peter's total income
= $597.63
Answer:
-Ella have enough money($16,188.21) saved in six years to buy her home.
-It will take just over 10 yrs(10.24 yrs) for Ella’s account balance to exceed $20,000.
Step-by-step explanation:
#5% interest, compounded monthly, we calculate the effective annual interest rate:
The principal amount is $12,000 and the desired term is 6yrs. We calculate the compounded amount after 6yrs at 
:
Hence, Ella wont be able to make a down-payment at the end of 6 yrs since her investment of $16,188.21 <$20,000
To get how long she will be able to make the down-payment, we equate and make n the subject of the formula:
Hence, it will take just over 10 yrs for Ella’s account balance to exceed $20,000.
