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Below are the choices that can be found from other source:
A.$340
<span>B.$1560 </span>
<span>C.$38 </span>
<span>D.$1862</span>
Below is the solution:
78000 x .0.02=1560
<span>1900 - 1560=340</span>
Answer:2,820
Step-by-step explanation:
multiply 3,000 by 0.03 which will get you 90 which is 3% of that for one year and for two years you just multiply 90 by 2 and get 180. subtract 180 from 3,000
Answer:
Below in bold.
Step-by-step explanation:
x^2 - y^2 = 11
2x^2 + y^2 = 97
From the first equation:
y^2 = x^2 - 11
Substituting in the second equation:
2x^2 + x^2 - 11 = 97
3x^2 = 108
x^2 = 36
x = 6, -6.
Substituting for x in the first equation:
(6)^2 - y^2 = 11
y^2 = 36 - 11 = 25
y = 5, -5.
Answer:
j=13, g=20.8, h=24
Step-by-step explanation:
The overall shape given and the shape within, are both right triangles. With right triangles, you are allowed to use the pythagorean theorem formula (
) in order to solve for some sides. In this case, that would be j and h. The five in the smaller triangle is represented by b and the 12 is the hypotenuse so it is represented by c. When you plug in those numbers in the pythagorean theorem formula, you will find the value of j to be 13. When looking at this, we see that 12 is the second greatest value in the right triangle values that we just found, so we know the the opposing angle for that one will be 60 degrees. The 5's opposing side is therefore 30 degrees. When subtracting 90 and 30, we get 60, so therefore you can use the 30 60 90 formula to find the sides of the bigger triangle. The 60 degrees represents g. This formula will be 
. The a is 12 since it is the smallest value. So therefore, g is 
, which is 20.8. Now that we have this side, we can just use the pythagorean theorem formula to find the remaining side. Therefore, h is going to be 24
Answer:
20 minutes
Step-by-step explanation:
To make one round of the field, Lisa will have to cover the entire perimeter of the field.
The perimeter of a rectangle = 2(l+w) Where L = length and W = width.
The multiplication of 2 means two lengths and widths that each rectangle has. The perimeter of the field = 2(150 +50) = 400m
Lisa's average running speed = 100m/min
The time taken to cover one round of the field or one perimeter of the field = 400/100 = 4 minutes.
To cover 5 rounds or 5 perimeters Lisa will take 5x4 minutes = 20 minutes.
