Answer:
x = 8
Step-by-step explanation:
3 (x - 5) + 7x = 65
3x - 15 + 7x = 65
10x - 15 = 65
10x = 80
x = 8
The annual returns will be calculated as follows:
a] Here we use the formula:
A=p(1+r/100)^n
A=future amount
p=principle
r=returns
n=time
We are given:
A=500, p=400, t=1
Plugging the values in the formula we obtain:
500=400(1+r)^1
simplifying and solving for r:
1.25=1+r
thus
r=1.25-1
r=0.25~25%
b] Using the formula above:
A=p(1+r/100)^n
A=2500+100=2600, p=2000, n=1 year
plugging the values in the equation we obtain:
2600=2000(1+r)^1
simplifying and solving for r we obtain:
2600/2000=1+r
1.3=1+r
hence
r=1.3-1
r=0.3~30%
Answer:
7
Step-by-step explanation:
(x+3)/(x+8) = 2/3
3x + 9 = 2x + 16
x = 7
1) Line should be parallel to y = 3x+6, so slope of this line should be =3.
y=mx +b
y=3x +b
Now we have to find b (y-intercept), using the point (-10, 2.5).
2.5 = 3*(-10)+b
b=2.5+30=32.5
y=3x + 32.5
2) The line should be perpendicular to y = -4x -2, so its slope is going to be negative reciprocal m= 1/4.
Now we have to find b (y-intercept), using the point (-16, -11).
y=(1/4)x +b
-11=(1/4)*(-16) + b
-11 = -4 +b
b = -7
y=(1/4)x - 7
Answer:
Step-by-step explanation:
Consider Cotters paid "x" dollars:
According to given condition:
Moores paid "x+6" dollars.
Both paid total $30
Hence,
(x) + (x+6) = 30
Solving for x:
2x +6 = 30
2x = 30-6
2x = 24
x = 24/2
x = 12
So amount paid by Moores = x +6 = 12+6 = $18
*****To find number of pairs of skates: price of one pair must be given.
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