You multiply a number by 3 subtract 6 then add 2 the results is 20
what's the number ?
Let the number = x
multiply a number by 3
so, it becomes 3x
subtract 6 , so, 3x - 6
then add 2
so, 3x - 6 + 2
The result will be 20
So,
3x - 6 + 2 = 20
solve for x
3x - 4 = 20
Add 4 to both sides
3x - 4 + 4 = 20 + 4
3x = 24
Divide both sides by 3
3x/3 = 24/3
So,
x = 8
Answer:
8 years
Step-by-step explanation:
Compound interest formula
A(t) is the final amount 55000
A_0= 40000, r= 4% = 0.04, for quarterly n=4
divide both sides by 40000
Take ln on both sides
divide both sides by ln(1.01)
Divide both sides by 4
t=8.00108
So it takes 8 years
Answer:
4. °
Step-by-step explanation:
Given:
The tangent of the angle is given as:
Since the angle is negative, it means that it is measured in the clockwise direction as angles measured in clockwise direction are negative and that measured in counter clockwise directions are positive.
-212° when measured from counter clockwise direction will be equal to:
Therefore, =
Now, we have the identity for tan as:
Here,
Therefore,
Hence, = = °
The area of the original polygon is:
A = 225 m ^ 2
The similar polygon area is:
A '= (k ^ 2) * (A)
Substituting values:
3 * 225 = (k ^ 2) * (225)
Clearing k we have:
k ^ 2 = 3
k = (3) ^ (1/3)
Answer:
The length of each side increased by:
k = (3) ^ (1/3)