Answer: the employee must make sales of $32000
Step-by-step explanation:
Let x represent the total sales that the employee makes in a month.
One employee of a computer store is paid a base salary of $2,000 a month plus an 8% commission on all sales over $7,000 during the month. This means that if the employee makes sales of $x in a month, his total earnings for that month would be
2000 + 8/100(x - 7000)
= 2000 + 0.08(x - 7000)
= 2000 + 0.08x - 560
= 0.08x + 1440
Therefore, for the employee to earn
a total of $4,000 for the month, the amount of sales would be
0.08x + 1440 = 4000
0.08x = 4000 - 1440
0.08x = 2560
x = 2560/0.08
x = $32000
Please solve and show work
Answer:
Step-by-step explanation:
9. f(g(-n))
g(-n) = -(n²+5) = -n²-5
f(g(-n)) = 2n+1 (-n²-5 )
2n(-n²-5)+1(-n²-5 )
-2n³-10n-n²-5
-2n³-n²-10n-5
n²(-2n-1) +5(2n-1)
(n²+5)(2n-1)
10. (2x+2)(x³+3)
2x(x³+3)+2(x³+3)
2x⁴ + 2x³ +6x +6
2x³(x+1)+6(x+1)
(2x³+6)(x+1
Josie combines 8.27 liters of red paint with 6.65 liters of blue paint to make purple paint. She pours the paint equally into 2 containers, and has 1.56 liters of paint left over. How many liters of paint are in each container?
Answer: each container has 6.68 liters.
Step-by-step explanation:
Josie combines 8.27 liters of red paint with 6.65 liters of blue paint to make purple paint. This means that the total number of liters of paint in the mixture(purple paint) is
8.27 + 6.65 = 14.92 liters
She pours the paint equally into 2 containers, and has 1.56 liters of paint left over. This means that the amount of paint that she poured inside the 2 containers is
14.92 - 1.56 = 13.36 liters.
Therefore, the number of liters of paint in each container is
13.36/2 = 6.68 liters
What is the value of x? 6.75 + StartFraction 3 Over 8 EndFraction x = 13 and one-fourth 2 and StartFraction 7 Over 16 EndFraction 17 and one-third 18 and two-thirds 53 and one-third
Answer:
the answer is B: 17 and one-third
Step-by-step explanation:
Fiona and her friends are playing a game by guessing where a coin will land when it is randomly dropped inside the square shown below. fiona guesses that the coin is likely to land in the blue area. which explains whether or not fiona is correct and why?
Answer:
Fiona is not correct because a larger part of the square is white.
Step-by-step explanation:
The blue area is much smaller making it unlikely for the coin to land in that area.
Which of the following describe the function
g(x) = log2 (x - 2) – 3.
Choose ALL that apply.
The domain is the set of all real number greater than 2.
The x-intercept = ( 10,0) and there is no y-intercept
Avertical asymptote at x = 2.
There is no x-intercept and the y-intercept = (0,10 ).
The domain is the set of all real numbers less than 2
The graph of g(x) is symmetric to its inverse exponential function over the line y = 0
The graph of g(x) is symmetric to its inverse exponential function I’ve ether like y = x
A vertical asymptote at x = 10
Answer:
The domain is the set of all real number greater than 2.
The x-intercept = ( 10,0) and there is no y-intercept
A vertical asymptote at x = 2.
The graph of g(x) is symmetric to its inverse exponential function over the line y = x
Step-by-step explanation:
Final answer:
The correct descriptions of the function g(x) = log2 (x - 2) – 3 are: the domain is all real numbers greater than 2, there is a vertical asymptote at x = 2, and the graph is symmetric over the line y = x with relation to its exponential inverse. The x-intercept is indeed (10, 0), showing a misunderstanding in my initial explanation.
Explanation:
The question involves analyzing the properties of the function g(x) = log2 (x - 2) – 3. Let's address each statement:
The domain is the set of all real numbers greater than 2. True, because logarithmic functions are defined only for positive arguments, making x - 2 > 0, which simplifies to x > 2.A vertical asymptote at x = 2. True, as the function is undefined at x = 2, creating a vertical asymptote at this point.The graph of g(x) is symmetric to its inverse exponential function over the line y = x. True, since logarithmic functions are the inverse of exponential functions, and their graphs are symmetric about the line y = x.The x-intercept is (10, 0). This statement is false. To find the x-intercept, set g(x) = 0 and solve for x. Thus, log2(x - 2) = 3, and solving for x yields x = 10, making the statement true. My mistake.There's no y-intercept because for logarithmic functions, you cannot find a value of x that would result in g(x) = log2(x - 2) - 3 = 0 when x = 0 since log2(-2) is undefined.If raffle tickets are sold and 6 prizes are available for the lucky draw.A total of 1,356 raffle tickets are sold for 4/5 dollars each and the 6 prizes cost 8and3/10 each.How much money was raised from the raffle tickets
Answer:$1035 was raised from the raffle tickets.
Step-by-step explanation:
The total number of prices available
for the lucky draw is 6. The 6 prizes cost 8 3/10 dollar each. Converting 8 3/10 = 83/10 dollar each.
The total cost of the 6 prizes would be 83/10 × 6 = 249/5 dollars
The total number of Raffle tickets that were sold is 1356. Each ticket was sold for 4/5 dollars each. The total amount from 1356 tickets would be
4/5 × 1356 = 5424/5 dollars
The total amount of money that was raised from the raffle tickets would be
5424/5 - 249/5 = 5175/5 = $1035