Let us assume the age of the son now = x
Then
The age of the man now = 5x
Now we have to calculate the age of the son and father 9 years ago
Age of the son 4 years ago = x - 4
Age of the man 4 years ago = 5x - 4
Then
5x - 4 = 9(x - 4)
5x - 4 = 9x - 36
5x - 9x = -36 + 4
- 4x = - 32
MUltiplying both sides of the equation by -1 we get
4x = 32
x = 32/4
= 8
So the present age of the son is 8 years
Present age of the man = 5x
= 5 * 8
= 40 years
So the present age of the man is 40 years and the present age of the son is 8 years.
Answer:
<h2>9498.5 m</h2>
Step-by-step explanation:
We know that the Circumference = 3454 cm
And we also know that the formula for the Circumference of Circle is,

So we can put the equation this way,

So we can solve for 'r'

Now we have radius and we can solve for the area of the circle,


We can convert this to meter,
9498.5 m
I am not sure if this is correct just let me know thanks :)
Answer:
Profit P(x) = 53x-12 and On selling 20 video games profit will be 1048.
Step-by-step explanation:
In the given question functions are Revenue function : R(x) = 60x and Cost function : C(x) = 12+7x for the sale of x video games
As we know profit = sale price - cost price
Therefore P(x) = R(x) - C(x)
Or P(x) = (R-C)x = 60x - (12+7x)
P(x) = 60x -12 - 7x
P(x) = 53x -12
Now the profit on selling 20 video games will be
P(20) = 53×20 -12 = 1060 -12 = 1048.
Answer: <em>x=8</em>
Step-by-step explanation:
<em>3(x-4)=12</em>
<em>Distribute the 3 into the parathesis'</em>
<em>3x-12=12</em>
<em> +12 +12 on each side</em>
<em>3x=24</em>
<em>Divide by 3 on each side</em>
<em>x=8</em>
9514 1404 393
Answer:
b, d, c, a, e
Step-by-step explanation:
A formula should always come with a definition of the variables it uses. Here, you're supposed to somehow magically figure out what the variables are.
A = P(1 +r/n)^(nt)
A is the amount of the investment of principal P after t years, compounding annual rate r n times per year.
__
Then your blanks get filled like this:
1. A -- b the value
2. P -- d the principal
3. r -- c the annual interest rate
4. n -- a number of times compounded per year
5. t -- e number of years