Answer:
y = -2x + 9
Step-by-step explanation:
The parallel line has an equation of y = -2x + 7;
And its slope is -2.
The slope of the line that passes through (4,1) is also -2 since parallel lines have the same slope.
Taking another point (x,y) on the line that passes through (4,1):
slope(m) = change in y ÷ change in x
-2 = 
Cross multiplying gives;
y - 1 = -2x + 8
y = -2x + 9
Answer:
Step-by-step explanation:
The shop sold 70 ice cream cones. It means that x + y = 70Small cones cost 3.95 and large cones cost 5.75. The total sales made from the selling 70 ice creams is $370.10. It means that 3.95x + 5.75y = 370.1 - - - - - - - - - -1Substituting x = 70 - y into equation 1, it becomes3.95(70 - y) + 5.75y = 370.1276.5 - 3.95y + 5.75y = 370.1- 3.95y + 5.75y = 370.1 - 276.51.8y = 93.6y = 93.6/1.8y = 52x = 70 - 52x = 18. Ww
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Answer:
y= -1/2
x=3/2
Step-by-step explanation:
first isolate x
2x+4y=1
2x=1-4y
x=(1-4y)/2
subsitute it in the second equation
look at the pic
Answer:30 drinks
Step-by-step explanation:
Answer:
7 years 11 months
Step-by-step explanation:
The future value formula for the value of a principal P invested at annual rate r compounded n times yearly for t years is ...
FV = P(1 +r/n)^(nt)
For the given numbers, we want to find t:
6000 = 3700(1 +.062/2)^(2t)
Dividing by 3700 and taking the logarithm, we get ...
6000/3700 = 1.031^(2t)
log(60/37) = 2t·log(1.031)
Dividing by the coefficient of t gives ...
t = log(60/37)/(2log(1.031)) ≈ 7.92 . . . . . years
It will take about 7 years 11 months for the investment to grow to $6000.