Lets x and y are 2 accounts Paige invested
x account invested with annual interest rate 8.5%
y account invested with annual interest rate 10%
x + y =<span>15,250 so x = 15,250 - y
0.085x + 0.1y = </span><span>1,411.75
substitute </span>x = 15,250 - y into 0.085x + 0.1y = 1,411.75
0.085x + 0.1y = 1411.75
0.085(15,250 - y) + 0.1y = 1,411.75
1,296.25 - 0.085y + 0.1y = 1,411.75
0.015y = 115.5
y = 7,700
x = 15,250 - y
x = x = 15,250 - 7,700
x = 7,550
answer
$7,550 invested on account with annual interest rate 8.5%
$7,700 invested on account with annual interest rate 10%
Answer:
50km/h is 13.89m/s
and the lorry is only going 13.5m/s
Step-by-step explanation:
Answer:
9.7 miles
Step-by-step explanation:
The shortest distance between 2 points is a straight line
The distance from point A to point B is
d = sqrt( ( x2-x1)^2 + ( y2-y1) ^2)
d = sqrt( ( 3 - -3)^2 + ( 4-1) ^2)
d = sqrt( ( 6)^2 + ( 3) ^2)
d = sqrt(36+9)
d = sqrt(45)
d =6.7 to the nearest tenth
The distance from point B to point C is
d = sqrt( ( x2-x1)^2 + ( y2-y1) ^2)
d = sqrt( ( 3 - 3)^2 + ( -2-4) ^2)
d = sqrt( ( 0)^2 + ( -6) ^2)
d = sqrt(36)
d = 6
But They only made it half way so 1/2 (6) =3
Add the distances together
6.7+3 = 9.7 is the minimum distance
. If both coordinates are positive or both are negative, we get a maximum value of 
; otherwise, we get a minimum of 
.