Step-by-step explanation:
5*(4x+8)=6*(2x+3)
20x+40=12x+18
20x _12x= 18_40
8x = _22
x=_22/8
x= _11/4
Answer:
You will have $1628.16 per month in discretionary money.
Step-by-step explanation:
In order to find the amount of money you have left for discretionary purposes at the end of the money, you need to calculate the total amount of your monthly pay is going towards expenses and savings. Since there are 12 months in a year, your monthly income is $3072. Of that amount, you spend 32% on housing and 15% on savings, for a total of 47%. The remaining percentage of your income would be considered discretionary, which would account for 53%. To find the amount of money, you take your monthly income and multiply it by 53%, or .53, which gives you $1628.16.
The statement the graphs of both functions have a vertical asymptote of x=0 and statement unlike the graph of function f, the graph of function g decreases as x increases are true.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have two functions:
f(x) = lnx
g(x) = -5 lnx
The domain of the both functions x > 0
The function will be touch the y-axis when x reaches to the infinite.
The graphs of both functions have a vertical asymptote of x=0.
Unlike the graph of function f, the graph of function g decreases as x increases.
The graph of function g is the graph of function f vertically stretched by a factor of 5 and reflected over the x-axis.
Thus, the statement the graphs of both functions have a vertical asymptote of x=0 and statement unlike the graph of function f, the graph of function g decreases as x increases are true.
Learn more about the function here:
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Step-by-step explanation:
The nth term of a geometric progression can be determined by using the formula:
Tn=arn−1
where: a = first term and r = common ratio
Substitute the given values of first term and common ratio into the formula:
Tn=arn−1
T5=(40)(0.5)5−1
T5=(40)(0.5)4
T5=(40)(0.0625)
T5=2.5