Answer:
A) f(x) = 0.85x
B) g(x) = x - 1500
C) g(f(x)) = $14650
D) f(g(x)) = $14875
Step-by-step explanation:
A) The list price is x and a 15% discount is applied.
Thus;
f(x) = x - 15%x
f(x) = 0.85x
B) We are told that the manufacturer offers a $1500 rebate for each purchase of a car.
Thus, the function g(x) to represent the price after the rebate is applied is;
g(x) = x - 1500
C)if the discount is applied before the rebate, the function is;
g(f(x))
Now,
f(x) = 0.85(19000)
f(x) = 16150
g(x) = x - 1500
Thus;
g(x) = 16150 - 1500
g(x) = $14650
D) If discount after rebate, then we have; f(g(x))
g(x) = 19000 - 1500
g(x) = 17500
f(g(x)) = 0.85(17500)
f(g(x)) = $14875
Sum of two numbers is -32 what number is two less than the other
First no. = z
Second no. = z - 2
z + (z - 2) = -32
z + z - 2 = -32
2z - 2 = -32
2z = -32 + 2
2z = -30
z = -30/2
z = -15
First no. = -15
Second no. = -17
Suppose the amount of a popular sport drink in bottles leaving the filling machine has a normal distribution with mean 101.5 milliliters (mL) and standard deviation 1.6. If 36 bottles are randomly selected, find the probability that the mean content is less than 102.1 mL
Answer:
0.98778
Step-by-step explanation:
When we are given a random number rod samples, we solve using z score formula
z = (x-μ)/σ/√n, where
x is the raw score = 102.1 mL
μ is the population mean = 101.5 milliliters (mL)
σ is the population standard deviation = 1.6.
n = 36
z = 102.1 - 101.5/1.6/√36
z = 2.25
Probability value from Z-Table:
P(x<102.1) = 0.98778
Hence, If 36 bottles are randomly selected, find the probability that the mean content is less than 102.1 mL is 0.98778
pls help me with long division
86÷3 =
*The divisor is 3 and the dividend is 86
First step: How many 3's can fit into 8? (8÷3)
8÷3 = 2 r 2
Second step: add a 2 above the eight in the tens place of the answer.
86÷3 = 2_
Third step: multiply 3 x 2; 3 x 2 = 6;
In this step, we put a 6 underneath the 8.
Fourth step: Subtract.
In this step, we subtract 8-6 (=2)
Fifth step: bring down the next number. In this case, it is 6.
In this step, we now have the number 26.
Sixth step: How many 3's can fit into 26? (26÷3)
26÷3 = 8 r 2
Last step: Now put an 8 in the one's place and now we have a remaining 2. That is called the remainder. We put the remainder and represent it as "r". We put r2.
I hope this was easy for you to understand!
Answer:
Step-by-step explanation:
2 8 R2
3[tex]\sqrt{86[/tex]
- 6
-------------
26
- 24
-----------
0 2
Classify the sentences based on whether they describe an investing mistake or a good investment decision.
Answer:
What sentences?
Step-by-step explanation:
Can you please add a picture, a sentence(s), an article, or any source so we can actually answer them for you??????
Answer:
Investing mistake :
Silvia successfully avoids investing
in unfamiliar foreign companies.
Ryan invests only in the stock of
companies he has complete faith in.
Martha decides to hold her
investments despite their poor
market performance over
three years.
Good investment decision:
Sanjay invests in companies in
a variety of industries.
Ricardo starts investing in index
funds with the aim of building
his wealth steadily over time.
Sabina invests small amounts in
stocks, bonds, and real estate.
Step-by-step explanation:
Got it right in edmuntum :)
Apples cost $1.89 per pound. What equation shows the relationship between total cost (t), price (p), and pounds purchased (n)?
1.89 = nt
n⁄t = 1.89
1.89t = n
t = 1.89n
Answer:
[tex]t(n) = 1.89n[/tex]
Step-by-step explanation:
From the given information
'p' denotes 'price per pound'i.e. p = 1.89
'n' denotes the 'number of pounds purchased' 't' denotes the 'total cost 'Therefore, the equation becomes
[tex]t(n) = pn[/tex]
as
[tex]p=1.89[/tex]
so
[tex]t(n) = 1.89n[/tex]
Verification:
If you want to purchase 1 pound apple
i.e.
[tex]n=1[/tex]
Total cost would be:
[tex]t(1) = 1.89 (1)[/tex]
t = $1.89 per pound
Please Hurry
The graph shows the savings in Andre’s bank account.
What is the slope of the line?
What is the meaning of the slope in this situation?
Answer:
Here is the graph
Step-by-step explanation:
Which of these figures shows perpendicular lines?
Answer: I think a and b
Step-by-step explanation:
Whoever answers this first gets brainliest
Pls help ASAP
Answer:
Terminating goes to 3
Repeating goes to 4
Rational goes to 1
Irrational goes to 2
Answer:
1. Rational Number
2. Irrational Number
3. Terminating Decimal
4. Repeating Decimal
Step-by-step explanation:
A Rational Number can be written as a ratio of two integers. For example, as a simple fraction. That leaves us for the answer to the second one as irrational. To terminate means to end, so a terminating decimal is a decimal that does not go on forever. Whereas, a repeating decimal continues repeating forever (or indefinitely).
I would like to apologize in advance if any of these were incorrect.
Hola me pueden explicar por favor el punto 1 es para hoy muchas gracias
Answer:
las soluciones estan abajo. En algunos incisos se debe suponer que el numero en cuestion es entero. De lo contrario no es posible hablar del siguiente o del anterior al numero.
Step-by-step explanation:
Sea x un numero, entonces
1)2x
2)5x
3)x-1 (aqui x es un numero entero)
4)[tex]\frac{x}{2}[/tex]
5)[tex]\frac{x}{10}[/tex]
6)x+1 (aqui x es un numero entero
7) x(x+1) (aqui x es un numero entero
8) x(x+1)(x+2) (aqui x es un numero entero
Find the probability the next person you meet was born either on a Monday or a Friday.
Answer:
Probability = 0.2857 (Approx)
Step-by-step explanation:
Given:
Total number of days in a week = 7
Monday or Friday = 2 days
Find:
Probability
Computation:
Probability = Monday or Friday / Total number of days in a week
Probability = 2/7
Probability = 0.2857 (Approx)
Zach spent $2.00 to buy 10 packs of gumHe plans to sell each pack of gum for $ 0.50. Which equation represents the profit, that Zach will make if he sells x packs of gum?
Answer:
x=$0.50 one pack for 50 cents
Step-by-step explanation:
$2.00= 10
$1.00=5
Solve for x. Geometry problem.
Answer:
12.33
Step-by-step explanation:
6x - 2 + 9x - 3 = 180° (linear pair)
6x + 9x - 2 - 3 = 180°
15x - 5 = 180°
15x = 180 + 5
15x = 185
x = 185/15
x = 12.33
hope this helps you!
The weekly milk order for the Tranquility Hotel includes 40 gallons of low- fat milk and 15 gallons of chocolate milk. What is the ratio of chocolate gallons to low- fat gallons in Tranquility Hotel's weekly milk order?
Answer:
15:40
Hope it helps!
Linear or nonlinear
Answer:
I think its linear so I dont know 100% but I think it's a sorry if I'm wrong
Answer:
linear
Step-by-step explanation:
it is in y=mx+b form. also it forms a straght line
4 divided by 9.48 hii
Answer:
4 divided by 9.48= 0.42( or 0.421940928.....)
Step-by-step explanation:
..
-9 is an example of what
Answer:
A negative number, a negative integer, a negative multiple of 3, etc.
Step-by-step explanation:
Answer:
integer
???????
Step-by-step explanation:
I'm not sure
PLEASE HELP Find the x-component of this
vector and the y-component
Answer:
x ≈ 11.5, y ≈ 3.4
Step-by-step explanation:
Th rectangular components of the vector are
x = r cosθ
y = r sinθ
where r is the magnitude and θ is the angle between x- axis and vector
Here r = 12 and θ = 90° - 73.3° = 16.7° , then
x = 12 cos16.7° ≈ 11.5 m ( to 1 dec. place )
y = 12 sin16.7° ≈ 3.4 m ( to 1 dec. place )
What sample size is required if you want to estimate p with an 99.5% confidence level and an error of no more than 0.08?
Answer:
0.5
Step-by-step explanation:
Janice had an unpaid balance of $2358.19 on her credit card statement at the beginning of January. She made a payment of $80.00 during the month, and made purchases of $99.50. If the interest rate on Janice's credit card was 4% per month on the unpaid balance, find her finance charge and the new balance on February1.
Answer:
$2,639.19
Step-by-step explanation:
Her balance at the end of the month is
$2358.19 - $80.00 + $99.50 = $2537.69
So the finance charge is 2537.69 * 0.04% = $101.50
and her new balance is $101.50 + $2537.69 = $2639.19
When a circular plate of metal is heated in an oven its radius increases at a rate of 0.01 cm/min. at what rate is the plates areas increasing when the radius is 54 cm?
Answer:
3.3912cm³/minStep-by-step explanation:
Area of the circular plate = πr² where r is the radius of the plate.
dA/dt is the rate at which the plate is increasing
since dA/dr = 2πr and dr/dt = 0.01cm/min
dA/dt = dA/dr * dr/dt
dA/dt = 2πr dr/dt
dA/dt = 2π(54)(0.01)
dA/dt = 2π(0.54)
dA/dt = 3.3912cm³/min
Hence the rate at which the plates area is increasing when the radius is 54cm is 3.3912cm³/min
once again im still struggling with this
Answer:
In bold below.
Step-by-step explanation:
There are 2 whole circles shaded and the other has 3 parts out of 5 shaded.
Mixed number = 2 3/5.
Improper fraction = 13/5.
How many solutions are there?
Answer:
only one, as x is just one thing as in x=589247 or x=390538
Step-by-step explanation:
A football team gains 4 yards on their first play. They lose 15 yards on the next play.
Enter two integers that represent the two plays.
Answer:
either 4+ and -15 or 4 and -15
Step-by-step explanation:
Calculate the volume
Please show the steps....
Answer:
4,800
Step-by-step explanation: 6 times 5 times 8 times 20=4800 :D
Answer:
probably
Step-by-step explanation:
v = [20.(8+6)/2].5
v = 20.7.5
v = 700cm³ (that's a 3 btw)
What is the equation of the line that passes through the point (-3. 4) and has a
slope of 1/3?
Answer this question and I will give you brainliest and help on anything
Answer:
The answer is 27
Step-by-step explanation:
You count how many lines it takes up and add them together
Luke measured caterpillars for a science project. He believes that caterpillar A is longer than caterpillar B because it has more digits after the decimal point. Do you agree or disagree Luke's thinking. Explain your reasoning.
Caterpillar A=4.125 cm
Caterpillar B=4.03
Caterpillar C=4.23
Answer: disagree
Step-by-step explanation:
Caterpillar A is longer, but not because of the decimal places. It is longer because of the place value.
Answer:
Disagreed
Step-by-step explanation:
In order to find the answer to this question you must remember that when dealing with finding the greater decimals you have to look at which have the greater place values in this case...
[tex]CA=4.125[/tex]
[tex]CB=4.03[/tex]
[tex]CC = 4.23[/tex]
Caterpillars 1 place value is already greater then caterpillar B's place value of 0, so it doesn't really matter how many more numbers to add after 1 and 0 because these two place values are already different 1 > 0
Meaning that "although Caterpillar A is greater then Caterpillar B, it is not because it has more digits simply because one is greater then zero." You can prove this by seeing that Caterpillar C is greater then Caterpillar A because two is greater then one.
[tex]4.125 > 4.03[/tex]
[tex]4.125 < 4.23[/tex]
Hope this helps.
A scientist is examining a multicellular organism that has the ability to move from one location to another and eats food to gain energy for survival. What kingdom would be the best option when classifying this organism?
please help me :(
Jill, Grace, and Billy shared pennies in the ratio 2 : 4 : 4. They had a total of 120 pennies in all. How many pennies did Jill receive?
2 pennies
24 pennies
48 pennies
60 pennies
Answer:
24
Step-by-step explanation:
Jill 2 Grace 4 Billy 4
Jill 24
Grace 48
Billy 48
Answer:
4+4+2=10
120/10=12
12*2=24
24
Step-by-step explanation:
In a population that is normally distributed that has a mean of 45 with a standard
deviation of 5, what is the probability that a randomly selected object is over 52?
0.0001
0.0808
0.0501
0.9542