Caelan is saving to buy a vacation home. He inherits some money from a wealthy uncle, then combines this with the $ 24162 he has already saved and doubles the total in a lucky investment. He ends up with $ 146012 , just enough to buy a cabin on the lake. How much did he inherit?

The amount inherited is $48,844

Step-by-step explanation:

Here, we want to know the amount of money inherited by Caelan.

Let the amount be $x

From the question, the amount inherited was combined with 24,162 and doubled in an investment to give 146,012

Thus, the amount before the lucky investment will be;

x + 24,162

Thus , after doubling, the amount becomes;

2(x + 24,162)

and this equals 146,012

2(x + 24,162) = 146,012

divide both sides by 2

x + 24,162 = 73,006

x = 73,006 - 24,162

x = $48,844

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

5 pm

step-by-step explanation: