Answer:
25 miles, and the cost will be $37.50.
Step-by-step explanation:
Mose's charge can be represented by f(x) = 0.5x + 25, Holly's charge can be represented by g(x) = 0.3x + 30.
Set the equations equal to each other: 0.5x + 25 = 0.3x + 30.
0.2x = 5
x = 25
Substitute 25 for x: f(x) = 0.5(25) + 25 = 37.5, g(x) = 0.3(25) + 30 = 37.5.
So f(x) = g(x) at x = 25, and the output will be 37.5.
First off both triangles form a 90° angle there both congruent. you can tell they form a 90° angle because of square box
Substitute x=9 and y=-2 into equation,
Left hand side=-2
Right hand side=1/3(9)+4= 3+4=7
Because LHS doesn’t = with RHS, the point (9,-2) doesn’t satisfy with the equation
Therefore the point doesn’t go through y=1/3x +4.
96 is the result 200 x .48
$5000 is the correct answer.
The formula for simple interest is I=prt. Anson gets 10% interest; 10% = 10/100 = 0.1. This gives us
I=p(0.1)(1) = 0.1p.
Jenny borrows 1000 more than Anson, so her principal is p+1000. Her rate is 8%; 8%=8/100 = 0.08. She invests it for half of a year, or 0.5. Together this gives us:
I=(p+1000)(0.08)(0.5)
= (p+1000)(0.04)
= p*0.04 + 1000*0.04
= 0.04p + 40
Together they earned 740:
0.1p+0.04p+40 = 740
Combine like terms:
0.14p+40 = 740
Subtract 40 from both sides:
0.14p+40-40 = 740-40
0.14p = 700
Divide both sides by 0.14:
0.14p/0.14 = 700/0.14
p = 5000
