Answer:
the function is y= 100-0.095x
Step-by-step explanation:
Step one:
given data
A stock valued at $100 decreases in value by 9.5%
let the number of years be x
Step two:
Hence, the rate of decrease is 0.095
therefore the function is
y= 100-0.095x
The function which represents the situation is
[tex]f(x) = 100 - {0.95}^{x} [/tex]
How to write exponential functionoriginal value of stock = $100Percentage decrease per year = 9.5%
= 9.5/100
= 0.095
Number of years = xf(x) = 100 - 0.095^x
[tex]f(x) = 100 - {0.95}^{x} [/tex]
Therefore, the function which represents the situation is f(x) = 100 - 0.095^x
Learn more about exponential function:
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Find the length of the missing side.
Answer:
4
Step-by-step explanation:
Answer this shi! Someone?
Write the equation of the polynomial below in factored form .
Answer:
8x+2
Step-by-step explanation:
94.3 ÷10 2 Which of these shows and explain the correct location of the decimal point when the expression is evaluated? Select three that apply.
The expression is equivalent to 0.026.
The expression will have 2 zeros before the 2.
The expression will have 3 zeros after the 6.
It is the same as dividing 26 by 1000.
The expression is equivalent to 3 times smaller than 26.
It is the same as 26 ÷ 10 ÷ 10 ÷ 10.
Answer:
First, you have a wrong expression for the options given. Secondly, it seems that the right expression when evaluated, equals 0.026. See below what you can do to solve this problem.
The answers are A, D and F
Step-by-step explanation:
The expression given here does not correlate with any of the options.
94.3 ÷ 10 = 9.43
I assume the '2' which is one space after the '10' is the serial number of this question in your textbook or classwork.
Even if the 2 was supposed to be attached to the 10, that'll be 102 and [94.3 ÷ 102] is equal to 0.9245
Given this confusion, it's safest to assume that the right expression when evaluated, will equal 0.026
Now based on this, 3 options that apply (3 options that mean the same thing or that properly describe the answer from the evaluation) are:
(A) The expression is equivalent to (this is the symbol for 'equivalent to' '≡') 0.026
(D) It is the same as dividing 26 by 1000. 26 divided by 1000 will give you 0.026
(F) It is the same as [26 ÷ 10 ÷ 10 ÷ 10]. Simply put all the 10s as denominators and then divide 26 by the total of the multiplied 10s. That is, 10x10x10 = 1000 then 26÷1000
Use the following information to answer the question. Suppose that the probability that a person books a hotel using an online travel website is 0.68. For the questions that follow, consider a sample of fifteen randomly selected people who recently booked a hotel. What is the probability that no more than four out of fifteen people used an online travel website when they booked their hotel
Answer:
0.0013 = 0.13% probability that no more than four out of fifteen people used an online travel website when they booked their hotel
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they booked the hotel using an online travel website, or they did not. Each person is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Suppose that the probability that a person books a hotel using an online travel website is 0.68.
This means that [tex]p = 0.68[/tex]
Sample of fifteen:
This means that [tex]n = 15[/tex]
What is the probability that no more than four out of fifteen people used an online travel website when they booked their hotel
[tex]P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]
So
[tex]P(X = 0) = C_{15,0}.(0.68)^{0}.(0.32)^{15} = 0[/tex]
[tex]P(X = 1) = C_{15,1}.(0.68)^{1}.(0.32)^{14} = 0[/tex]
[tex]P(X = 2) = C_{15,2}.(0.68)^{2}.(0.32)^{13} = 0[/tex]
[tex]P(X = 3) = C_{15,3}.(0.68)^{3}.(0.32)^{12} = 0.0002[/tex]
[tex]P(X = 4) = C_{15,4}.(0.68)^{4}.(0.32)^{11} = 0.0011[/tex]
[tex]P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0 + 0 + 0 + 0.0002 + 0.0011 = 0.0013[/tex]
0.0013 = 0.13% probability that no more than four out of fifteen people used an online travel website when they booked their hotel
Use the prescription below to answer the following question Chlorpheniramine 100ml Lidocaine 2oz Banna flavoring 1/2 tsp Take 10ml BID what is the final volume in mL?
Answer:
86.5ml...hope I am right
The final volume of the mixture is 161.61146 milliliters (ml) as per the data given in the prescription.
What is prescription?A prescription, also known as a Rx, is a formal communication from a doctor or other registered health-care professional to a pharmacist.
The prescription indicates that Chlorpheniramine comes in a 100ml bottle, Lidocaine comes in a 2oz bottle, and 1/2 tsp of banana flavoring is to be added. The prescription instructs to take 10ml of the mixture twice a day (BID).
First, we need to convert the 2oz of Lidocaine into milliliters. One fluid ounce (oz) is equivalent to approximately 29.5735 milliliters (ml). Therefore, 2oz of Lidocaine is equal to:
2 oz x 29.5735 ml/oz = 59.147 ml
Next, we need to add 1/2 tsp (teaspoon) of banana flavoring to the mixture. One teaspoon is equivalent to approximately 4.92892 milliliters (ml). Therefore, 1/2 tsp of banana flavoring is equal to:
1/2 tsp x 4.92892 ml/tsp = 2.46446 ml
To find the final volume of the mixture, we add the volumes of Chlorpheniramine, Lidocaine, and banana flavoring:
Final volume = Chlorpheniramine volume + Lidocaine volume + Banana flavoring volume
Final volume = 100ml + 59.147ml + 2.46446ml
Final volume = 161.61146 ml
Therefore, the final volume of the mixture is 161.61146 milliliters (ml).
For more details regarding prescription, visit:
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In what direction is the line containing the points (-4, -6) and (2,8) going?
A. down and to the right
B. horizontal
C. vertical
O
D. up and to the right
Answer:
d hopefully this helps you
Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.47 and a standard deviation of 1.5. Using the empirical rule, what percentage of American women have shoe sizes that are greater than 11.47? Please do not round your answer.
Answer:
2.5% of American women have shoe sizes that are greater than 11.47.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 8.47
Standard deviation = 1.5
The normal distribution is symmetric, which means that half the measures are below the mean, and half are above the mean.
What percentage of American women have shoe sizes that are greater than 11.47?
11.47 = 8.47 + 2*1.5
This means that 11.47 is two standard deviations above the mean.
Of those measures below the mean, none are greater than 11.47.
Of those measures above the mean, 95% are between the mean and 11.47, and 5% are above. So
0.5*0.05 = 0.025
2.5% of American women have shoe sizes that are greater than 11.47.
Please help (100 points and brainiest for right answer!)
Did the Pre-Image
Rotated, then reflected
Translated, then rotated
Rotated, then translated
Reflected, then translated
Answer:
yes it did they are both the same if u put a reflection on it
Step-by-step explanation:
Help help help help help help I’m begging lol
Answer:
110 ft. is the height of the building.
Is this correct? I don’t think it is just guessed.
Step-by-step explanation:
Checked out the attached image
Have to use laws of sines, can someone solve this one?
Answer/Step-by-step explanation:
✔️Find <K using law of sines:
Thus,
[tex] \frac{sin(K)}{k} = \frac{sin(H)}{h} [/tex]
K = ??
k = 37 mm
H = 34°
h = 29 mm
Plug in the values
[tex] \frac{sin(K)}{37} = \frac{sin(34)}{29} [/tex]
Multiply both sides by 37
[tex] \frac{sin(K)}{37}*37 = \frac{sin(34)}{29}*37 [/tex]
[tex] sin(K) = \frac{sin(34)*37}{29} [/tex]
[tex] sin(K) = 0.713453014 [/tex]
[tex] K = sin^{-1}(0.713453014) [/tex]
[tex] K = 45.5 degrees [/tex] (nearest tenth)
✔️Find J:
m<J = 180° - (45.5° + 34°) (sum of ∆)
m<J = 100.5°
✔️Find j using Sine rule:
[tex] \frac{j}{sin(J)} = \frac{h}{sin(H)} [/tex]
J = 100.5°
j = ??
H = 34°
h = 29 mm
Plug in the values
[tex] \frac{j}{sin(100.5)} = \frac{29}{sin(34)} [/tex]
Multiply both sides by sin(100.5)
[tex] \frac{j}{sin(100.5)}*sin(100.5) = \frac{29}{sin(34)}*sin(100.5) [/tex]
[tex] j = \frac{29*sin(100.5)}{sin(34)} [/tex]
j = 51.0 mm (nearest tenth)
Is f = 2 a solution to the inequality below?
f<1
yes
no
HELP PLS IM FAILINGGG
Answer: no
Step-by-step explanation: 2 is not less than 1
Answer:
No because if you plug in f with 2 it is saying 2 is less than 1 which is not true so it would be
No
A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 45% pure antifreeze. In order to obtain 30 gallons of a mixture that contains 30% pure antifreeze, how many gallons of each brand of antifreeze must be used?
Answer:
First brand = 18 gallons
Second brand = 12 gallons
Step-by-step explanation:
Let the first brand brand be A and the second brand be B.
Thus, since he wants to obtain 30 gallons of a mixture that contains 30% pure antifreeze, then we have;
A + B = 30 - - - (eq 1)
Also; The first brand is 20% pure antifreeze, and the second brand is 45% pure antifreeze. Thus;
0.2A + 0.45B = (0.3 × 30)
0.2A + 0.45B = 9 - - - (eq 2)
From eq 1, we have; A = 30 - B
Put 30 - B for A in eq 2;
0.2(30 - B) + 0.45B = 9
6 - 0.2B + 0.45B = 9
0.25B = 9 - 6
0.25B = 3
B = 3/0.25
B = 12
Thus, A = 30 - 12 = 18 gallons
Polygon ABCD is a scaled copy of polygon EFGH.
Which segment in the scaled copy corresponds to segment
EF?
Answer:
AB
Step-by-step explanation:
AB, because it is the same side as EF
What is the equation of the line that passes through (0, -2) and has a slope of O?
O = -2
Oy= 2
x= 2
Answer:
The equation of the line that passes through (0, -2) and has a slope of 0 is [tex]\mathbf{y=-2}[/tex]
Step-by-step explanation:
We need to find the equation of the line that passes through (0, -2) and has a slope of 0?
The equation of line can be expressed in slope-intercept form [tex]y=mx+b[/tex] where
m is slope b is y-interceptWe need to find slope and y-intercept for the equation.
We are given slope = 0 so, m = 0
Now, y-intercept can be found using slope m=0 and point (0,-2)
[tex]y=mx+b\\-2=0(0)+b\\-2=b\\or\\b=-2[/tex]
So, we get y-intercept: b = -2
Now, the equation of the line having slope m=0 and y-intercept b=-2 is:
[tex]y=mx+b\\y=0(x)-2\\y=-2[/tex]
So, the equation of the line that passes through (0, -2) and has a slope of 0 is [tex]\mathbf{y=-2}[/tex]
is y=4x+2 proportional?
not proportional
y=mx+b
does not cross origin
Only CRoC
Use fraction models to solve each
1. 5 cakes are shared equally between 6 people. What fraction of a ca
음
TA
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Fraction Models
Given a number N, to model the process of sharing N into M equal parts we use the division N/M or the fraction
[tex]\frac{N}{M}[/tex]
There are N=5 cakes to be shared between M=6 people, thus the fraction that represents or models the situation is
[tex]\mathbf{\frac{5}{6}}[/tex]
Is 5.421 greater or less then 5.4
Answer:
5.421 > 5.4
Step-by-step explanation:
Tell whether or not the relation is a function.
{(-4,-7), (-1, 8), (4, -7), (4, -8)}
Answer:
Not a function because the domain 4 repeats.
1/3 *divide* 3/8 = m
help?
Answer:
8/9
Step-by-step explanation:
To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.
Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:
'
Thus, the answer to 1/3 divided by 3/8 in fraction form is: 8/9
Answer:
8/9
Step-by-step explanation:
Use a calculator. It is way easier. Math is hard.
Sheryl spends $9 every week on cigarettes and spends $38 a month on dry cleaning.
On an annual basis, the money spent on cigarettes is % of the money spent on dry cleaning.
Answer:
102.63
Step-by-step explanation:
There are 12 months in a year. 12 * 38 = 456
There are 52 weeks in a year 52 * 9 = 468
Cigarettes : dry cleaning :: 468:456
Cigarettes : dry cleaning :: 1.0263
The % is (468/456)*100 = 102.63%
The % shows that she spends more on cigarettes than she does on dry cleaning, which is usually the case.
solve with explanation (3)
Answer:
a = 66⁰
b = 33⁰
Step-by-step explanation:
Given;
∠ABC = 114⁰
To calculate a⁰;
a + 114 = 180⁰ (opposite angles of a quadrilateral are supplementary)
a = 180 - 114
a = 66⁰
To calculate b⁰;
Line AB = Line BC, thus, ∠BAC = ∠BCA
∠BAC = b, then ∠BCA = b
b + b + 114 = 180 (sum of angles in a triangle)
2b = 180 - 114
2b = 66
b = 66/2
b = 33⁰
What is the domain of the function? Write an interval and do not use any spaces.
What is the range of the function? Write an interval and do not use any spaces.
Over what interval does this function remain constant? Do not use any spaces in your interval.
a
Write the improper fraction as a mixed number in simplest form.
15/4 =
Answer: The answer is 3 3/4
I hope this helps
Step-by-step explanation:
Could anyone help me solve this?
2.5m + 10 = 1.6m - 6
Answer:
m = 17.78.
Step-by-step explanation:
Given the algebraic expression;
2.5m + 10 = 1.6m - 6
To find the value of m;
First of all, we would collect like terms.
2.5m - 1.6m = -6 - 10
0.9m = -16
m = -16/0.9
m = 17.78
answer quickly pls ill mark brainliest
Answer:
32x - 24y - 5
Step-by-step explanation:
That's the answer that I got on the question
Answer:
4x-3y-5
plz mark me branliest
who many 5/8 are in 6 1/4
Please help this is really hard
Chuck and holly are saving money to buy a car. Chuck has $500.00 already and is going to save $100.00 a month. Holly has $1000.00 and plans on saving 50 a month and it takes 10 months for their savings to equal. Write anequation
Answer:
500 + 100m = 1000 + 50m
Step-by-step explanation:
In order to form an equation we need atleast on variable which in this scenario would be the number of months (m). We can say that we know that sooner or later their savings will equal. Therefore, we can create the following equations for each of their savings progress which are equal to one another...
500 + 100m = 1000 + 50m
This equation if solved would give us the value of 10 for the variable m, meaning that their savings will equal in 10 months. To find out how much each will have in 10 months we can simply grab one half of the equation and substitute 10 for m
500 + 100(10) = x
500 + 1000 = x
1500 = x
Finally, we can see that after 10 months they would both have $1500 saved up.
