I can tell you for sure that the answer to the first one is
C) 63,475
and the second is
A) 22,149
The attendance at the movie theater in seven years will be 63,476. Then option C is correct. And the number of customers that visit the business in 10 years will be 22,149. Then option A is correct.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
The yearly participation at a neighborhood movie theater is 42,000 and develops ceaselessly at a pace of 5.9% every year. Then the attendance at the movie theater in seven years will be given as,
[tex]\rm y = 42,000 \times (e)^{0.059\times 7}\\\\y = 42,000 \times (e)^{0.413}[/tex]
Simplify the equation further, then we have
y = 42,000 × 1.5113
y = 63,476
The quantity of clients that visit a neighborhood private venture is 29,600 and has been persistently declining at a pace of 2.9% every year.
Then the number of customers that visit the business in 10 years will be given as,
[tex]\rm y = 29,600\times (e)^{-0.029\times 10}\\\\y = 29,600 \times (e)^{-0.29}\\[/tex]
Simplify the equation further, then we have
y = 29,600 × 0.748
y = 22,149
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1/2 of 6 is what percentage of 1/4 of 60 options: A 16 2/3 B 8 1/3 C 37 1/2 D 8 E 12 1/2 Show work
what is 10 1/2 divided by 2 1/4
The solution of the expression '' [tex]10\frac{1}{2}[/tex] divided by [tex]2\frac{1}{4}[/tex] '' will be [tex]4 \frac{2}{3}[/tex].
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The mathematical expression is;
'' [tex]10\frac{1}{2}[/tex] divided by [tex]2\frac{1}{4}[/tex] ''
Now, Solve the mathematical expression by using division method as;
The mathematical expression is,
[tex]10\frac{1}{2}[/tex] divided by [tex]2\frac{1}{4}[/tex] = [tex]10\frac{1}{2}[/tex] ÷ [tex]2\frac{1}{4}[/tex]
Change the mixed fraction into improper fraction as;
⇒ [tex]10\frac{1}{2}[/tex] ÷ [tex]2\frac{1}{4}[/tex]
⇒ [tex]\frac{21}{2}[/tex] ÷ [tex]\frac{9}{4}[/tex]
It can be solve as;
⇒ 21/2 ÷ 9/4
⇒ 21/2 × 4/9
⇒ 14/3
Change into mixed fraction as;
⇒ [tex]\frac{14}{3} = 4 \frac{2}{3}[/tex]
So, [tex]10\frac{1}{2}[/tex] ÷ [tex]2\frac{1}{4}[/tex] = [tex]4 \frac{2}{3}[/tex].
Therefore,
The solution of the expression '' [tex]10\frac{1}{2}[/tex] divided by [tex]2\frac{1}{4}[/tex] '' will be [tex]4 \frac{2}{3}[/tex].
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A business owes $8000 on a loan. Every month, the business pays 12 of the amount remaining on the loan.
How much will the business pay in the sixth month?
Answer:
$125 on the 6th month
Can you pease help me find all the zeroes of the polynomial function f(x)=x^3-5x^2+6x-30 using synthetic devision?
thank you!
Mr.Williams' physical education class lasts 7/8 hour.How many minutes are not spent on instructions . playing game:1/2 , instructions: 1/5 ,warm up and cool down:3/10
A company can manufacture x x hundred items for a total cost of c = 500 + 1100 x − 100 x 2 c=500+1100x-100x2. find x x if the total cost is $ 2 , 300 $2,300.
We are given the equation:
c = 500 + 1100 x – 100 x^2
Solve for x given the value of c = 2300
Rearrange and substitute:
- 100 x^2 + 1100 x + 500 = 2300
Divide everything by -100:
x^2 – 11 x – 5 = - 23
x^2 – 11 x = - 18
Completing the square:
(x – 11/2)^2 = - 18 + (11/2)^2
x – 11/2 = ±3.5
x = 2, 9
So x is 2 or 9
what is the area of rhombus ABCD? do not round any steps
Find the percent change from 60 to 63. Tell whether it is a percent increase or decrease. If necessary, round your answer to the nearest percent.
Bryson hopes to win a three-day vacation in a drawing that is being held at his office. He purchased 40 raffle tickets. There were 500 raffle tickets sold. What is the theoretical probability of Bryson winning the trip? ANSWER ASAP
If Bryson purchased 40 raffle tickets. There were 500 raffle tickets sold. Then 2/25 is the theoretical probability of Bryson winning the trip
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
Bryson hopes to win a three-day vacation in a drawing that is being held at his office.
Bryson purchased 40 raffle tickets
The number of raffle tickets sold were 500
We need to find the theoretical probability of Bryson winning the trip
P(win)=40/500
=4/50
=2/25
2/25 because he bought 40 out of the 500 tickets
Hence 2/25 is the theoretical probability of Bryson winning the trip
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recursive equation for 5,8,11,14,17
It is known that the depth of a lake at a point with coordinates (x, y) is z = 200 + 0.02x2 − 0.001y3, where x, y, and z are measured in meters. a woman in a kayak starts at the point (80, 60) and moves toward another point located at (0, 0). (a) find du f(80, 60). (give your answer correct to at least two decimal places.)
Two angles are supplementary. one angle is 4 degrees° less than three times the other. find the measures of the angles.
Please help thank you very much.
A gasoline pump delivers 4 2/5 gallons of gas per minute. How many minutes will it take to fill a gas tank that holds 17 1/4 gallons?
Please show all steps and equation.
which number is halfway between 1/2 and 5/6
The fraction which is halfway between [tex]\frac{1}{2}[/tex] and [tex]\frac{5}{6}[/tex] is equal to [tex]\frac{2}{3}[/tex].
What is a fraction ?
A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.
The two fractions are given which are [tex]\frac{1}{2}[/tex] and [tex]\frac{5}{6}[/tex].
We know that numerator is the top value of the fraction whereas the denominator is the bottom value of the fraction. We need to add the given fractions and then divide it by 2 to find the halfway between the two given functions.
To add the fractions we need to equal denominator firstly. The common denominator of 2 and 6 will be 6 because 6 is a multiple of both 2 and 6.
So ,
Halfway between [tex]\frac{1}{2}[/tex] and [tex]\frac{5}{6}[/tex] is :
= ( [tex]\frac{1}{2}[/tex] + [tex]\frac{5}{6}[/tex] ) / 2
= [tex]\frac{3 + 5}{6}[/tex] / 2
= [tex]\frac{8}{6}[/tex] × [tex]\frac{1}{2}[/tex]
= [tex]\frac{4}{6}[/tex]
or
[tex]\frac{2}{3}[/tex]
Therefore , the fraction which is halfway between [tex]\frac{1}{2}[/tex] and [tex]\frac{5}{6}[/tex] is equal to [tex]\frac{2}{3}[/tex].
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What property justifies this statement? If segment A B is congruent to segment D E and segment D E is congruent to segment F G, then segment A B is congruent to segment F G.
CAN someone please check this i will give out brainliest !
its proofs and theorems in geometry
check the ones in red
If i flip a coin 4 times what is the probability of one tail
Which shows the image of ΔRST after the rotation (x, y) → (y, –x)?
examples?
Step-by-step explanation:
You are taking part in a charity walk, and you have walked 12.5 miles so far. Your girl is to walk 20 miles. How many more miles do you need to walk to meet your goal?
After walking 12.5 miles with a goal of 20 miles, you need to walk 7.5 more miles to meet your goal.
To meet your goal in the charity walk, you need to calculate how many more miles are left to walk after having walked 12.5 miles with a goal of 20 miles. The calculation is simple subtraction: 20 miles (goal) - 12.5 miles (distance already walked) = 7.5 miles remaining to be walked. So, you need to walk 7.5 more miles to meet your goal.
A small train at an amusement park is carrying passengers. Half of the passengers are 4 years old, 1/10 are 5 years old, 3/10 are 6 years old, and 1/10 are 7 years old.
What is the expected age for one of the passengers on the train?
A. 5 years
B. 5.5 years
C. 6 years
D. 6.1 years
Write 1.42 as a fraction or mixed number in simplest form.
Which polynomial has a factor of 3x+2?
1.) 6x²+x-2
2.) 6x²-5x-9
3.) 3x²-x-4
4.) 3x²+8x-8
For the standard normal probability distribution, the area to the right of the mean is:
How do you think business owners determine how much of each of their products to make?
Answer: First - Add your costs to your mark-up. (Costs + Mark-up Amount = Baseline Price), Next - If you want to find the price percentage, (Costs x Mark-up Percentage = Mark-up Amount) (Mark-up Amount + Costs = Baseline Price) Next - Multiply your baseline price by your overhead percentage and figure out what is the amount that you must add to the baseline prices so that the overhead expenses can be covered. (Price x Overhead Percentage = Overhead Contribution)Now you must finally add your overhead contribution to your baseline price: (Overhead Contribution + Baseline Price = Final Price)
If Log 4 (x) = 12, then log 2 (x / 4) is equal to
A. 11
B. 48
C. -12
D. 22
Solve the system of equations by graphing [tex] \left \{ {{y=- \frac{3}{2}x+2 } \atop {y=3x-7}} \right.[/tex] *Show all work
There are 3 people who work full time and are to work together on a project, but their total time on the project is to be equivalent to that of only one person working full time. if one of the people is budgeted for 1/2 of the time and the other person is budgeted for 1/3, what part od the third workers time should be budgeted to this project
what is the curconfrrince
Which angle is the included angle for MP¯¯¯¯¯¯ and MN¯¯¯¯¯¯¯ ?
∠M
∠N
∠P
Answer:
First one.
Step-by-step explanation:
M is in both angles.
we know that
An included angle is the angle between two sides of a triangle
so
in the triangle MNP
1) the included angle for MP and MN is the angle M
2) the included angle for PM and PN is the angle P
3) the included angle for NM and NP is the angle N
therefore
the answer is
the included angle for MP and MN is the angle M