The only thing you could factor out is X so it would be
X(4x-5)
Answer:
Salary = $43,313.40
Step-by-step explanation:
Let his salary be x.
Now we're told that;
Pension = 12% of his salary = 0.12x
Health Insurance = 0.3% of salary = 0.003x
Disability Insurance = 0.4% of salary = 0.004x
Since his total contract with benefits is worth $48,814.20
This means that;
x + 0.12x + 0.003x + 0.004x = 48814.2
1.127x = 48814.2
x = 48814.2/1.127
x = $43,313.40
Answer:
-Exponential Decay
-Decay factor is (1-0.05)
Step-by-step explanation:
-Given that the number decreases by a defined rate each year from the initial size by 5%,
-This is an exponential decay function of the form:
Where:
is the quantity/size after time t
is the initial size
is the rate of decay
-Our function can the be written as
Hence, the decay rate/factor is 0.05
#Alternatively
The exponential decay can be of the form:
Where:
y is the size at time x, a is the initial size, x is time and b is the decay factor.
b is of the form 
Hence, the decay factor is (1-0.05)
9514 1404 393
Answer:
23, 49
Step-by-step explanation:
Let s represent the smaller of the two numbers. Then the larger is s+26, and the sum is ...
s + (s+26) = 72
2s = 72 -26
s = (72 -26)/2 = 23
Then the larger number is
s +26 = 49
The two numbers are 23 and 49.
_____
The reason we wrote the solution this way is to show you that the smaller number is half the difference between the given sum (72) and difference (26). This is the generic solution to a "sum and difference" problem. The smaller number is always half the difference of the give sum and difference. (Similarly, the larger is always half the sum of the given sum and difference.)
That is, the two numbers are always half the sum ± half the difference:
72/2 ± 26/2 = {36+13, 36-13} = {49, 23}
