Answer:
Your original account balance before you made the deposit is $6
Step-by-step explanation:
Let x = your original account balance.
You triple your account balance by making a deposit. This means
New account balance = 3 × x = 3x
Then you withdraw $28.50 from your bank account. This means that you have $(3x - 28.5) left.
Now your account is overdrawn by $10.50. This means you have withdrawn beyond what you have in your account. Your new account balance is -$10.5. Therefore,
3x - 28.5 = - 10.5
3x = -10.5 + 28.5 = 18
x = 18/3 = 6
Your original account balance before you made the deposit is $6
Answer:
59.38
Step-by-step explanation:
In the number 59.378, "7" is in the hundredth place. So, we need to round it according to the 7. Anything to the left of 7 doesn't need to be rounded. If we round the thousandths place, 8, up to 7, we get 59.38
Answer:
d
Step-by-step explanation:
base² + Altitude² = Hypotenuse²
x² + 9² = 13²
x² + 81 = 169
x² = 169 - 81
x² = 88
x = 
The definition of the tangent function tells you
tan(angle) = (300 ft) / (distance to mountain)
This equation can be rearranged to
(distance to mountain) = (300 ft) / tan(angle)
For the far end of the river,
distance to far end = (300 ft) / tan(24°) ≈ 673.8 ft
For the near end of the river
distance to near end = (300 ft) / tan(40°) ≈ 357.5 ft
Then the width of the river can be calculated by finding the difference of these distances:
width of river = distance to far end - distance to near end
width of river = 673.8 ft - 357.5 ft
width of river = 316.3 ft
The appropriate answer choice is
316 ft.
Answer:
Parallelograms I, II, and IV
Step-by-step:
Area of parallelograms:
I. A=3*5=15 units squared
II. A=5*3=15 units squared
III. A=4*4=16 units squared
IV. A=5*3=15 units squared
So, parallelograms I, II, and IV have the same area of 15 units squared.
