Answer:
$33
Step-by-step explanation:
First we calculate the cost of the overdrafts:
3 overdrafts * $35 = $105
Then, if he maintains an average monthly balance of $600, we can calculate = $600*12 months = $7200 (average yearly balance). And the bank pays him 1% interest per annum:
$7200 * 1% = $72 (this is what the bank pays the graduate per year)
So if the bank charges him $105 and pays him $72, then the net annual cost is = $105-$72= $33
Answer:
9.5, for every 4 weeks it would gain 2 pounds
Hey there!
(9) 2x-9y=45
... -9y=-2x+45
... y = (2/9)x - 5
Slope = 2/9
y-intercept = (0,-5)
(11) 3y+2x=-15
... 3y=-2x-15
... y = (-2/3)x - 5
Slope = -2/3
y-intercept = (0,-5)
(12) 10x+8y=40
... 8y=-10x+40
... y=(-10/8)x+5
Slope = -5/4 (after simplifying )
y-intercept = (0,5)
Hope my answer helps!
Answer:
.13
Step-by-step explanation:
172-162 = 10
We can find the standard deviation of D by adding the variances of the heights and taking the square root:
σ
D
2
σ
D
2
σ
D
=σ
M
2
+σ
W
2
=7.2
2
+5.4
2
square root of 81
=9
Representing probability with area
When D= M-W =0, their heights are equal. When the man is taller, D is positive, and when the woman is taller, D is negative. Since we know the distribution of the difference D is normally distributed, the probability that the woman is taller than the man can be found by calculating the shaded area below D=0, in the corresponding normal distribution:
A standard normal curve is plotted on a horizontal axis representing D, that goes from negative 17 to 37. The mean, or mu sub D, = 10. The standard deviations, or sigma sub D = 9. The value 0 is marked. The area under the curve to the left of 0 is shaded, representing the probability that the woman is taller. The area to the right represents the probability that the man is taller.
normalcdf:
lower bound: −9999
upper bound: 0
μ=10
σ=9
Answer: the original price of the skirt is $24
Step-by-step explanation:
Let x represent the original price of the skirt. if the original price of the blouse is 18, then the original price of the skirt and blouse is (x + 18)
Jade buys a blouse and a skirt for 3/4of their original price. It means that the amount at which she bought the skirt and blouse is
0.75(x + 18)
Applying the distributive property, it becomes
0.75x + 13.5
Jade pays a total of 31.50 for the two items. It means that
0.75x + 13.5 = 31.5
0.75x = 31.5 - 13.5
0.75x = 18
x = 18/0.75
x = $24
