Using linear functions, it is found that:
The equation for Plan A is: [tex]C_a(x) = 33 + 3x[/tex]The equation for Plan B is: [tex]C_b(x) = 37 + 2x[/tex]The monthly plans would have an equal cost when 4 movies are watched.A linear function for a cost depending on the number of movies x is given by:
[tex]C(x) = C(0) + ax[/tex]
In which:
C(0) is the fixed cost.a is the cost per movie.For Plan A, $33 per month plus $3 per movie watched, hence [tex]C(0) = 33, a = 3[/tex], and the equation is:
[tex]C_a(x) = 33 + 3x[/tex]
For Plan B, $37 per month plus $2 per movie watched, hence [tex]C(0) = 37, a = 2[/tex], and the equation is:
[tex]C_b(x) = 37 + 2x[/tex]
The monthly cost is equal when:
[tex]C_a(x) = C_b(x)[/tex]
[tex]33 + 3x = 37 + 2x[/tex]
[tex]x = 4[/tex]
The monthly plans would have an equal cost when 4 movies are watched.
A similar problem is given at https://brainly.com/question/16302622
what is 4 multiplied by 2/3 in fraction form
Answer:
Step-by-step explanation:
2 and 2/3 i believe
Answer:8/3
Step-by-step explanation:i don't know if you wanted improper or not
plz leave a like
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
b
Step-by-step explanation:
Which of the following systems of inequalities would produce the region indicated on the graph below?
Answer:
b
Step-by-step explanation:
Determine how much time
required for an investment
to double in value if the
interest is earned at a rate
of 6.56%, compounded
Quarterly? Pick Best answer
Answer: 11 years
Step-by-step explanation:
You can use the Rule of 72 which is a way to calculate quickly, the time it will take for an investment to double given its interest rate.
It works by:
= 72 / Interest rate
Rate is compounded quarterly so the periodic rate is:
= 6.56%/4
= 1.64%
Time taken to double = 72/1.64
= 43.9 quarters
In years that is:
= 43.9/4
= 11 years
For an investment to double in value at an interest rate of 6.56% compounded quarterly, the period required is exactly 10.625 years.
What is an investment's future value?The future value of an investment refers to the compounded value of its present cash flows in the future, using a stated interest rate.
The future value can be determined using the future value table or formula.
We can also determine the future value using an online finance calculator, which also enables us to determine the period required to double the present value of the investment at 6.56%.
Data and Calculations:I/Y (Interest per year) = 6.56%
PMT (Periodic Payment) = 0
FV (Future Value) = $15,000
P/Y (# of periods per year) = 4
C/Y (# of times interest compound per year) = 4
Results:
PV = $7,513.52
Total Interest $7,486.48
N (# of periods) = 42.5 (10.625 years x 4)
The period = 10.625 years (42.5/4)
Thus, for an investment to double in value at an interest rate of 6.56% compounded quarterly, the period required is exactly 10.625 years.
Learn more about determining the required period of an investment at brainly.com/question/20392017
someone please help me simplify this!
Answer:
the answer is A because anything with an exponent of 0 is = to 1
Find the average rate of change for the function over the given interval.
y=e^x between x=−2 and x=0
Answer:
The average rate of change for the function over the given integral
[tex]A(x) = \frac{e^{-2} -1}{2}[/tex]
Step-by-step explanation:
Explanation
Average rate of a function:-
We can define the average rate of change of a function from a to b
[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]
Given function f(x) = eˣ
Given interval x = a = -2 and y = b = 0
f(a) = f(-2) = e⁻²
f(b) = f(0) = e⁰
[tex]A(x) = \frac{e^{-2} -1}{0-(-2)}[/tex]
The average rate of change for the function over the given integral
Marta’s math textbook weighs Four-fifths of a pound less than 4 times the weight of the book she is reading for her language arts class. If the weight of the math textbook is 2 and one-fifth pounds, which shows the correct equation and value of x, the weight of Marta’s book for language arts?
4 x + four-fifths = 2 and one-fifth; x = StartFraction 7 over 20 EndFraction of a pound
4 x minus four-fifths = 2 and one-fifth; x = three-fourths of a pound
4 x + four-fifths = 2 and one-fifth; x = three-fourths of a pound
4 x minus four-fifths = 2 and one-fifth; x = StartFraction 7 over 20 EndFraction of a pound
Answer:
4 x minus four-fifths = 2 and one-fifth; x = three-fourths of a pound
Step-by-step explanation:
i hope this helps ( I took the test and got it right)
Answer:
B
Step-by-step explanation:
One of the diagonals of a rectangle a 20 cm long. The difference between its length and its width is 4 cm. Find the area of the rectangle?
Answer:
A = 192 cm²
Step-by-step explanation:
Given that,
The length of the diagonal of a rectangle is 20 cm.
The difference between its length and its width is 4 cm.
Let the length is l and width is b.
ATQ,
l-b = 4 ...(1)
Let x is the diagonal of the rectangle such that,
[tex]x^2=l^2+b^2[/tex]
or
[tex]20^2=l^2+b^2\\\\l^2+b^2=400[/tex] ....(2)
Now we need to solve equation (1) and (2).
Squaring equation (1) : [tex]l^2+b^2-2lb=16[/tex]
Put equation (2) in above equation.
[tex]400-2lb=16\\\\400-16=2lb\\\\2lb=384\\\\lb=192[/tex]
Since, the area of the rectangle, A = lb
A = 192 cm²
In the figure a is parallel to b, what is the value of y?
Answer:
y = 60*
x = 30*
Step-by-step explanation:
the bottom angle is the same angle as y and it says 2x meaning that x is 1/2 of y. the full angle across the line is 180* so divide that by 3.
180 / 3 = 60
Sales of a new line of athletic footwear are crucial to the success of a company. The company wishes to estimate the average weekly sales of the new footwear to within $200 with 95% reliability. The initial sales indicate that the standard deviation of the weekly sales figures is approximately $1400. How many weeks of data must be sampled for the company to get the information it desires
Answer:
188 weeks of data must be sampled.
Step-by-step explanation:
From the information given, we can deduce that:
The Margin of error is within = 200
The confidence interval = 95%
The level of significance = 1 - C.I
= 1 - 0.95
= 0.05
The standard deviation = 1400
The number of weeks the data must be sampled can be determined by using the formula for sample size which is:
[tex]n =( \dfrac{Z_{\alpha/2} \times \sigma}{E} )^2[/tex]
[tex]n =( \dfrac{Z_{0.05/2} \times 1400}{200} )^2[/tex]
[tex]n =( \dfrac{1.96 \times 1400}{200} )^2[/tex]
[tex]n =( \dfrac{2744}{200} )^2[/tex]
[tex]n =( 13.72)^2[/tex]
n = 188.24
n ≅ 188
Thus, 188 weeks of data must be sampled.
Help plz:)))I’ll mark u Brainliest
Ok ✅
Answer:
B.
I hope it will be useful.
Step-by-step explanation:
ΔACB is congruent to ΔXZY!!
Hint : Interchange the position or simply drag your perception of seeing the Δ.
Sandra left home with $200 in her wallet. Sandra spent 25% of her money on
shoes and 3/5 of her money on clothes. How much money does she have left?
Your answer
Answer:
$30
Step-by-step explanation:
shoes: 25/100(200)=
1/4(200)=50
she spent $50 on shoes
clothes: 3/5(200)=
she spent $120 on clothes
50+120=170
200-170=30
A lot is 60 m by 36 m. A house 28 m by 8 m is built on the lot. How much area is left over?
Answer:
1936 m2
Lot = 60 x 36 = 2160m^2
House = 28 x 8 = 224m^2
Area not covered by the house = 2160^2 - 224^2
= 1936m^2
Hope this helps !!
Need help Plz 38 points
Lydia collects shells. She has 24 sea snail shells,
16 conch shells, and 32 scallop shells. She wants
to display the shells in equal rows, with only one
type of shell in each row. What is the greatest
number of shells Lydia can put in each row?
Answer:
2
Step-by-step explanation:
32 divided by 16 is 2
Which of the following is an example of the Distributive Property?
(zc)kt = zc(kt)
2x - 20y = - 20y + 2x
- 2x + 6 = 6 - 2x
2x2(x + 1) = 2x3 + 2x2
Answer:
the last option. 2 x 2 (x + 1) = 2x3+2x2
Compute the following: 5!
a. 60
b. 120 (correct)
c. 15
d. 5
Answer:
120
Step-by-step explanation:
5!
=5×4!
=5×4×3×2×1
=120
Step-by-step explanation:
5!
= 5×4×3×2×1
=20×6
=120 is the correct answer
Identify the reciprocal of each number. Type it in the blank, using a slash () to show a fraction,
5/6
Answer:
Answer: 6/5
Step-by-step explanation:
When finding the reciprocal, we essentially just "flip" or take the inverse of the number we are given. For example, the reciprocal of 1/2 would be 2/1 or 2. The given number multiplied by the reciprocal should always equal 1. If it does, then we know we are correct.
In this case, we are finding the reciprocal of 5/6, so we "flip" the numerator and the denominator to get 6/5.
To check our work, we need to multiply our original number and its reciprocal.
5/6 x 6/5 = 30/30 = 1
Now, we know we are correct, that the reciprocal of 5/6 is 6/5.
HELP ME PLEASEE:( I don’t understand this
Answer:
Rider A 450 Rider B 360
Step-by-step explanation:
PLEASE HELP!!! Which postulate (if any) should be used to show the triangles congruent?
Answer:
9. SSS
10. ASA
11. NONE
12. NONE
Step-by-step explanation:
9. The figure shows two triangles with two corresponding sides indicated to be congruent to each other. The third side is shared by both triangles. Therefore, by the SSS Congruence Theorem, both triangles are congruent to each other. Three sides of one triangle is congruent to the corresponding sides of the other.
10. The figure shows that two angles of one ∆ is congruent to two corresponding angles of the other ∆. Also, the triangles share a common side. This side is an included side between the two given angles. Therefore, by ASA Congruence Theorem, both triangles are congruent to each other.
11. This figure shows the two triangles have 3 corresponding equal angles. This is not enough to prove they are congruent.
12. The two triangles has two corresponding congruent sides given. However, we don't have enough information to determine if they are congruent to each other.
Consider the binomial multiplication represented in this table.
A geometric model with 2 columns and 2 rows. The first column is labeled x with entries 2 x squared, A. The second column is labeled 7 with entries B, C. The first row is labeled 2 x with entries 2 x squared, B. The second row is labeled negative 3 with entries A, C.
Perform the binomial multiplication to determine the value of the letters in the table.
A =
B =
C =
Which letters from the table represent like terms?
Answer:
Perform the binomial multiplication to determine the value of the letters in the table.
A = –3x
B = 14x
C = –21
Which letters from the table represent like terms?
A and B
Answer:
The one above me is 100% correct
Step-by-step explanation:
I just did the assignment and it's correct.
Why does warm water rise to the top of the ocean currents?
Answer:
In the ocean, warmer water expands just like any other matter, and following the principle of density, it rises to the top of the ocean. The cooler water, which is more dense than the warm water, sinks to the bottom and takes up the space left by the rising warm water. The result is a convection current.
Step-by-step explanation:
hope this helps :)
Answer:
because of climat change
Step-by-step explanation:
which is the equation of a line that has a slope of negative 2/3 and passes through Point -3 and -1
Answer:
y=2/3x+1
Step-by-step explanation:
y=mx+b (-3,-1)
subsitute
-1=2/3(-3)+b
solve
b=1
substitute into the original equation:
y=2/3x+1
Question 14
The product of 3x²y3 and -4r^3 y^4 is ?
Answer:
I think the answer is -12r^3x^2y^7
Lets say you run a restaurant. If you have around 60 customers everyday, and each of them pay 50$ per meal how long would it take to repay 300,000$ in debt?
Answer:
100 days
Step-by-step explanation:
If you have 60 customers that pay everday $50, 60 multiplied by $50 is $3,000 a day. You take your debt, 300,000 and divide that with the 3,000. Thus gives the answer 100 days.
Answer:
100 days
Step-by-step explanation:
First, you must take the 60 customers and multiply it by the $50 daily. That equals 3,000 dollars, so the restaurant is earning that much each day. In order to make 300,000 dollars, it would take 100 days. This is because 300,000/3,000 is 100. I hope this helps!:))
If you fly on a helicopter for 20 minutes at a speed of 240 km/h how far will you go in miles? PLS ANSWER ASAP WILL MARK BRAINLIEST!
Answer:
your answer should be 49.7097
Step-by-step explanation:
41
42
43
44
45
46
47
48
49
50
Which data set is the most spread from its mean?
026, 6, 20, 36
28, 15, 30, 15
49, 17, 4, 18
O 14, 20, 24, 30
Answer:
The set {49, 17, 4, 18}
Step-by-step explanation:
Notice that the set {49, 17, 4, 18} has a mean of (49+17+4+18)/ 4 = 22, and it is spread from the smallest value (4) in 18 units. This is the largest spread from the mean compared to the other 3 sets whose maximum spreads are: 16, 8,and 8.
what value of x makes the equation -5x-(-7-4x)= -2(3x-4) true
Witch equation has the solution x=4
Answer:
C
Step-by-step explanation:
Answer:
C choice.
Step-by-step explanation:
We can either solve the equation or substitute x = 4 to find the true equation.
Solve The Equations
1. 4x=20
Our solution would be x = 5 as we move 4 to divide 20.
2. x/2=8
Our solution would be x = 16 as we move 2 to multiply 8.
3. x+8=3x
Our solution would be x = 4 which is the answer. We basically move x to subtract 3x as we get 8 = 2x.
Then we move 2 to divide 8 as we get x = 4.
[tex]x + 8 = 3x \\ 8 = 3x - x \\ 8 = 2x \\ \frac{8}{2} = x \\ x = 4[/tex]
4.
[tex]x = \frac{x + 5}{2} \\ 2x = x + 5 \\ 2x - x = 5 \\ x = 5[/tex]
We simply multiply the whole equation by 2 to get rid of the denominator.
Round the nearest 2 decimal places, 892/15=
Answer:
59.47
Step-by-step explanation:
a calculator might help
A baker makes 120 cookies per hour. What is the rate of change in minutes?
a.10 cpm
b.2 cpm
c.1/2 cpm
d.12 cpm