Given that amount of first acid solution = 4 liters
Let concentration of the first acid solution = x
then effective amount of first solution = 4x
Given that amount of second acid solution = 10 liters
Givn that concentration of the second acid solution = 40% = 0.4
then effective amount of second solution = 0.4(10)
Then amount of resulting acid solution = (4+10) liters
Givn that concentration of the resulting acid solution = 30% = 0.3
then effective amount of resulting solution = 0.3(4+10)
Combining all those results gives equation
4x +0.4(10) = 0.3(4+10)
4x +4 = 0.3(14)
4x +4 = 4.2
4x = 0.2
x=0.05
Hence final answer is 0.05 or you can say 5%.
Answer: You should deposit about $17014 or little more
Step-by-step explanation:
use the compound interest formula.
A= p( 1 + r/n)^nt
Where A is the amount you will save over some years .
p is the principal or start up amount mostly known as the initial fee.
r is the interest rate represent by a decimal so 7% will be 0.07.
n is the number of times the interest is being applied annually. Semiannually means twice. So n will be 2.
T is the time the money will elapsed. So in 5 years the money will elapse. Now input the values into the formula and solve for p the principal.
24,000 = p( 1 + 0.07/2)^2*5
24,000= p( 1 + 0.035)^10
24000 = p( 1.035)^10
24000 = p( 1.41059876062) Divide both sides by 1.41059876062
p = 17104
Which means you should deposit about $17014 or little more
Answer: 11 < x < 35
suppose: the length of the third side is x
because x is the third side of a triangle
=> 23 - 12 < x < 23 + 12
⇔ 11 < x < 35
Step-by-step explanation:
Hey there!
Solve using pythagoras theorem (it's given that is triangle is right angled. Pythagoras theorem only works in the case of right triangles) ⇨ Hypotenuse² = Base² + Altitude ²
Here,
Base = 9 mm
Hypotenuse = 15 mm
Altitude = b
Hypotenuse² = Base² + Altitude ²
15² = 9² + b²
225 = 81 + b²
225 - 81 = b²
144 = b²
√144 = b
<u>1</u><u>2</u><u> </u><u>mm </u>= b
Hope it helps ya!
Answer:
To find the perimeter of the rectangle, you would add all sides or use P=2L+2w (Perimeter = 2 times the length plus 2 times the width)
Step-by-step explanation:
28 feet