Jim currently has​ $1,250 in his bank account and Sally has​ $1,400 in her bank account. Jim deposits​ $27.50 per week and Sally deposits​ $20 per week into her account. After how many weeks will they have the same amount of​ money? Jim and Sally will have the same amount of money after nothing ​week(s). ​(Type an integer or a​ decimal.)

Answers

Answer 1

Answer:

20 weeks.

Step-by-step explanation:

The equations of money deposits of each bankholder as a function of time are, respectively:

Jim

\(p_{1} = 1250 + 27.50\cdot t\\\)

Sally

\(p_{2} = 1400 +20\cdot t\)

The number of weeks so that both have the same amount of money is:

\(1250 + 27.50\cdot t = 1400 + 20\cdot t\)

\(7.50\cdot t = 150\)

\(t = 20\)


Related Questions

mbuso has R5 785 in his bank account. he arranges with the bank to pay his rent R800 from the account by the end of every month. calculate the balance of the account after 8 months​

Answers

Answer:

R5 785 - R800x8

=R5 785 - R6 400

= - R615

when data are positively skewed, the mean will usually be

Answers

With Square Payments, you can easily and safely accept all forms of payment. You can collaborate with customers rather than competing with them when it comes to how they want to pay for goods and services when you use Square Payments.

Through Square, you can accept credit cards, Apple Pay, Android Pay, and a lot of other payment options. A client is an individual or company who purchases goods or services from another company. Customers are essential because they produce income. Without them, companies would cease to exist. A customer is the recipient of a good, service, product, or idea in sales, commerce, or economics that they have purchased from a seller, vendor, or supplier in exchange for money or another useful consideration. When a customer buys something and uses it themselves, they are considered a consumer. Although they might not be the final users, customers always buy goods or services. Although they might not have paid for it, consumers are always the ones who use a good or service in the end.

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Which ratio is equivalent to 4:5?

Answers

Answer:

8:10 and 12: 15

Step-by-step explanation:

we have to multiply

Answer:

16/20

Step-by-step explanation:

Which of the following candidates are binary or unary operations on the given sets? For those that are not, where do they fail? a. x# = x2 ; S = b. e x 1 if x is odd x if x is even + 1 2 3 1 1 2 3 2 2 3 4 3 3 4 5 S = {1, 2, 3} c. x + y = that fraction, x or y, with the smaller denominator; S = set of all fractions. d. x + y = that person, x or y, whose name appears first in an alphabetical sort; S = set of 10 people with different names.

Answers

Among the given candidates, the operations in (b) and (c) are binary operations on the respective sets. However, the operations in (a) and (d) fail to be binary operations due to closure violation or reliance on external criteria.

(a) The operation x# = \(x^{2}\) is not a binary operation on set S = {1, 2, 3}. To be a binary operation, it must take two elements from the set and produce another element in the set. However, when x = 2, the result \(x^{2}\) = 4 is not an element in set S, violating the requirement for closure. Therefore, this operation fails to be a binary operation on S.

(b) The operation x + 1 if x is odd, x if x is even is a binary operation on set S = {1, 2, 3}. It takes two elements from the set and produces another element in the set, satisfying the closure property. For example, 2 + 1 = 3, which is an element in S. Hence, this operation is a binary operation on S.

(c) The operation x + y = that fraction, x or y, with the smaller denominator is a binary operation on the set of all fractions. It takes two fractions and produces another fraction, satisfying closure. The result is determined by selecting the fraction with the smaller denominator. Therefore, this operation is a binary operation on the set of all fractions.

(d) The operation x + y = that person, x or y, whose name appears first in an alphabetical sort is not a binary operation on the set of 10 people with different names. This operation does not combine two elements from the set to produce another element in the set, violating closure. It relies on external sorting criteria (alphabetical order) and does not operate solely on the elements of the set itself. Thus, this operation fails to be a binary operation on the given set.

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unit 10 circles homework 9 standard form of a circle all things algebra

unit 10 circles homework 9 standard form of a circle all things algebra

Answers

1In unit 10 circles homework 9 standard form of a circle in all things' algebra, the center is (0,-2) and radius is 8 units.

What is the equation of circle?

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form, with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

\((x-h)^2+(y-k)^2=r^2\)

Here (h,k) is the center of the circle and (r) is the radius of the circle.

For the first problem,

\(x^2+(y+2)^2=64\)

Rewrite the equation to make it the equation of circle as,

\((x-0)^2+(y-(-2))^2=8^2\)

Compare it with equation of circle, we get center at (0,-2) and radius of 8 units. Similarly, the center and radius for each of the equation can be found out.

Thus, in unit 10 circles homework 9 standard form of a circle in all things' algebra, the center is (0,-2) and radius is 8 units.

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The table below gives select values for the differentiable function f and g, and f' , the derivative of f, at select values of x. If...

The table below gives select values for the differentiable function f and g, and f' , the derivative

Answers

Answer: for this problem. What we're going to do essentially, this is an exercise of using the formula for finding the derivative of the inverse of a function. So we have the derivative of the inverse of F would be equal to one over the derivative of F. So F prime evaluated at f inverse of X. So in this case we have X equals three. So F inverse of three, prime will be equal to one over F prime evaluated at f inverse of three. Now, looking at the table of values that you have, well, F inverse of three is going to be the X value such that X equals, or the the X values such that F equals three. So we can see that F equals three when X equals negative one. So we have one over F prime evaluated at negative one and F prime of negative one, we can see it is equal to one. So we'd have won over one or just one is the final answer.

Step-by-step explanation:

the quotient of 45 and 5 form algebraic expression to verbal expression

Answers

The quotient of
45
and
r
is
45
r
. A quotient is the result of a division. For example,
8
4
=
2
. So,
2
is the quotient.

Which of the following numbers is irrational?
A)5/8
B)2/3
C) √12
D-√36

Answers

Answer:

A) 5/8

Step-by-step explanation:

5 and 8 are irrational as a fraction

Answer:

5/8 i TOOK THE EXAM REVIEW

Step-by-step explanation:

Suppose that the functions g and f are defined as follows. g(x)=(-5+x)(-4+x) f(x)=-7+8x (a) Find ((g)/(f))(1). (b) Find all values that are NOT in the domain of (g)/(f).

Answers

To find the equation of the tangent line at a given point, we follow the steps given below: We find the partial derivatives of the given function w.r.t x and y separately and then substitute the given point (1, 1) to get the derivative of the curve at that point.

In order to calculate ((g)/(f))(1), we need to first calculate g/f. Hence, let's calculate both g(x) and f(x)g(x) = (-5 + x)(-4 + x)

= 20 - 9x + x^2

and f(x) = -7 + 8x
Now, let's divide g(x) by f(x)g/f = g(x)/f(x)

= ((20 - 9x + x^2))/(8x - 7)

Now, let's substitute x = 1g/f (1)

= ((20 - 9(1) + (1)^2))/(8(1) - 7)

= (12/1)

= 12

Therefore,  the denominator cannot be 0. Therefore, let's set the denominator to 0 and solve for x 8x - 7 = 0

⇒ 8x = 7

⇒ x = 7/8

Therefore, the denominator becomes 0 at x = 7/8.

Hence, x = 7/8 is not in the domain of (g)/(f).

Therefore, ((g)/(f))(1) = 12.

And, x = 7/8 is not in the domain of (g)/(f). In order to calculate ((g)/(f))(1), we need to first calculate g/f. Hence, let's calculate both g(x) and f(x)g(x) = (-5 + x)(-4 + x)

= 20 - 9x + x^2 and

f(x) = -7 + 8x

Now, let's divide g(x) by f(x)g/f = g(x)/f(x)

= ((20 - 9x + x^2))/(8x - 7)

For (g)/(f) to be defined, the denominator cannot be 0. Therefore, let's set the denominator to 0 and solve for x 8x -7 = 0 ⇒ 8x = 7

⇒ x = 7/8

Therefore, the denominator becomes 0 at x = 7/8.

Hence, x = 7/8 is not in the domain of (g)/(f).

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Please help! BRAINLIEST to correct answer!!

Please help! BRAINLIEST to correct answer!!

Answers

Answer:

2sqrt(14)*i

Step-by-step explanation:

(sqrt(-56))

since theres a negative in it we know there will be an i in the answer.

We need to find two numbers that multiple to 56 with at least one of them being a perfect sqaure

7*8  doesn't work

4*14 = 56

ok sqrt(4) = 2

can't take the sqaure of (14)

so we are left with

2sqrt(14)*i <---remember from before?

Five state officials are listed to the right. a. List the 10 possible samples​ (without replacement) of size 3 that can be obtained from the population of five officials. Governor ​(Upper G​) Lieutenant Governor ​(Upper L​) Secretary of State ​(Upper S​) Representative ​(Upper R​) Press Secretary ​(Upper P​) b. If a simple random sampling procedure is used to obtain a sample of three ​officials, what are the chances that it is the first sample on your list in part​ (a)? the second​ sample? the tenth​ sample? a. List all 10 possible samples​ (without replacement) of size 3. Use the letter abbreviation for each official.

Answers

Answer:

All possible are:

(G,L,S)

(G,L,R)

(G,L,P)

(G,S,R)

(G,S,P)

(G,R,P)

(L,S,R)

(L,S,P)

(S,R,P)

{L,R,P)

Probability of 1st/2nd/10th sample = 1/10

Step-by-step explanation:

All the possible combinations of the 3 size samples from a 5 size population have been listed without repetition.

Total Numbers of Samples = 10

To find the probability of finding the first sample from random sampling procedure,

Probability = Number of desired outcomes/ Total number of outcomes

Where Number of desired outcome is 1 and total number of outcomes is 10.

Probability = 1/10

Similarly, to find 2nd sample or 10th sample, the number of desired outcomes is same i.e 1, hecne the probability remains the same i.e 1/10

Possible samples:

(G,L), (G,S), (G,A), (G,P), (L,S), (S,A), (A,P), (L,P), (S,P), (A,L).

a) Given:

Population size \(N=5\).

Sample size \(n=2\)

Possible sample (without replacement)

\(\Rightarrow 5C_{2}=\frac{5!}{2!\times 3!}\)

\(=\frac{5\times 4}{2}\)

\(=10\)

\(10 samples:-\)

Governor, Lieutenant Governor, secretary of state, Attorney General, Press (P)

Possible samples:

(G,L), (G,S), (G,A), (G,P), (L,S), (S,A), (A,P), (L,P), (S,P), (A,L).

b) Event: \(E\to\)choosing sample second and tenth.

\(E=\left\{\left ( G,S \right ),\left ( A,L \right ) \right\}\\n\left ( E \right )=2\\n(S) =10\)

The Probability of that it is the first sample.

Second and tenth sample\(=\frac{n\left ( E \right )}{n(S)}\)

                                           \(=\frac{2}{10}\)

                                           \(=\frac{1}{5}\)

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5 and 9 are the example of ____ number

Answers

Answer:

Step-by-step explanation:

complex numbers , real numbers , rational numbers , natural numbers , whole numbers

Find the degree of the polynomial function y=(x-5)(x+5)

Answers

Answer:

Step-by-step explanation:

y = (x + 5)(x - 5)

  = x² - 5²

 = x² - 25

Degree of this polynomial is 2.

Highest power of the variable x will be the degree of the polynomial.

Marsha has 3/7 of a pound. She wants to divide the raisins equally among her sibling after keeping 2/11 of the raisins for herself. Which of the following represents the fraction of a pound that Marsha will keep for herself?

A. 6/77 of a pound B. 33/14 of a pound

C. 14/9 of a pound D. 5/18 of a pound

Answers

Answer:

c

Step-by-step explanation:

Help please!
Acellus
Find the value of x.
B
6
X+1
D
А Е
4
Х
С
A
x = [?]
Enter

Help please! AcellusFind the value of x.B6X+1D 4Ax = [?]Enter

Answers

Answer:

x = 2

Step-by-step explanation:

In the given figure

∵ ABC is a triangle

D is a point on side AB

E is a point on side BC

∵ DE // AC

∵ AC is the third side of the triangle

→ That means DE divides the sides AB, BC into parts that have the same ratio

∴ \(\frac{BD}{DA}\) = \(\frac{BE}{EC}\)

∵ BD = 6 and DA = 4

∵ BE = x + 1 and EC = x

→ Substitute them in the ratio above

∴ \(\frac{6}{4}\) = \(\frac{x+1}{x}\)

→ By using the cross multiplication

6 × x = 4 × (x + 1)

∴ 6x = 4(x + 1)

∴ 6x = 4(x) + 4(1)

6x = 4x + 4

→ Subtract 4x from both sides

∵ 6x - 4x = 4x - 4x + 4

∴ 2x = 4

→ Divide both sides by 2 to find x

x = 2

PLEASE HELP I BEG 70 POINTS
Part A: Explain how to sketch the graph of a curve that opens downwards and has only one x-intercept at (2.5,0).

Part B: Explain how to sketch the graph of a curve that opens upwards where the minimum value of the graph is (0,1).

Part C: Explain how to sketch the graph of a curve with the following characteristics.
• The graph opens downward.
• The y-intercept is (0,6).
The z-intercepts are (-1,0) and (3, 0).
• The maximum value of the function is located at the point (1,8).

Answers

Part A:

If a quadratic has only one x-intercept, then that is where the vertex lies. being that the vertex is the highest or lowest point in the quadratic. To sketch, it will open downwards with a single x-cept

Part B:

The graph will be above the x-axis. And having the vertex being at (0,1) as it says its the minimum value. All the minimum means is that its the lowest value of this given parabola.

Part C:

Plot the points of the y-intercept and z-intercepts. Then plot the maximum value is. Connect the dots.

When the sample of participants is reflective of the characteristics of the population, it is said to be?

Answers

It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.

What is Generalizability? Simply said, generalizability is a measurement of the applicability of a study's findings to a larger population or set of circumstances. It is considered that a study has strong generalizability if its findings may be applied broadly to a wide range of individuals or circumstances. Researchers use generalizability in a scholarly setting. It can be characterized as the extrapolation of findings and recommendations from a study done on a sample population to the entire population.

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(WILL GIVE BRAINLIEST) Which expression is equivalent to -3(y-4)? A. -3y - 4 B. -3y + 4 C. -3y - 12 D. -3y + 12

Answers

Answer:

-3y+12

Step-by-step explanation:

Answer:

D. -3y + 12

Step-by-step explanation:

-3(y) x -3(-4)

-3y + 12

Information about a sample is given. Assume that the sampling distribution is symmetric and bell-shaped. phat1-phat2=0.13 and the margin of error for confidence is 95% confidence +-3% 1. indicate the parameter being estimated 2. Use the information to give a 95% confidence interval. The confidence interval is

Answers

The 95% confidence interval for the difference between the two population proportions is (0.1, 0.16).

The parameter being estimated is the difference between two population proportions.

To find the 95% confidence interval for this parameter, we can use the margin of error formula:

Margin of error = z*√((p1(1-p1))/n1 + (p2(1-p2))/n2)

where z is the z-score for the desired level of confidence (95% in this case), p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.

We know that the difference between the sample proportions (phat1 - phat2) is 0.13, and the margin of error is 3%. Since the sampling distribution is assumed to be symmetric and bell-shaped, we can assume that the standard deviation of the difference between the sample proportions is equal to the standard error, which can be estimated by the margin of error.

Setting up an equation using the margin of error formula, we get:

3% = z*√((p-hat1(1-p-hat1))/n1 + (p-hat2(1-p-hat2))/n2)

We don't know the sample sizes or the sample proportions, so we can't solve for the confidence interval directly. However, we can use a conservative estimate for the standard deviation of the difference between the sample proportions:

σ = 1/2 * √(1/n1 + 1/n2)

Using this formula, we get:

σ = 1/2 * √(1/n1 + 1/n2) ≈ 0.03

This is approximately equal to the margin of error, so we can assume that z ≈ 1.96 (the z-score for 95% confidence) and use the formula:

p-hat1 - p-hat2 ± 0.03 = 0.13p-hat1 - p-hat2 = 0.13 ± 0.03p-hat1 - p-hat2 = (0.1, 0.16)

Therefore, the 95% confidence interval for the difference between the two population proportions is (0.1, 0.16).

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Stanley has a part time job planting flowers at the green thumb green house. He earns $11.40 per hour. If he worked 13.5 hours this week, how much did her earn

Answers

Equation: 11.40x
13.5 = x
11.40 * 13.5 = $153.90

I need help. What does n equal.
\(5n^{2}=7n-2\)

Answers

Answer:

\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)

Step-by-step explanation:

\(\rightarrow 5n^2 = 7n -2\)

\(\rightarrow 5n^2 - 7n +2=0\)

\(\rightarrow 5n^2 - 5n -2n+2=0\)

\(\rightarrow 5n(n - 1) -2(n-1)=0\)

\(\rightarrow (5n-2)(n-1)=0\)

\(\rightarrow 5n-2= 0,\: n-1=0\)

\(\rightarrow 5n= 2,\: n=1\)

\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)

\(\pmb{ n= \dfrac{2}{5} \:or~ n=1}\)

Step-by-step explanation:

\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)

2x - 7 + 19 = 6.x - 4x + 12

PLZ HELP ASAP​

Answers

Answer: infinitely many solutions

Answer:

All real numbers are solutions

Step-by-step explanation:

2x+4x-6x=7-19+12

0=0

Need help immediately!!!!!!!

Need help immediately!!!!!!!

Answers

Answer:

C)

The rate of change/slope is constant, when you calculate it for this problem, it doesn't change for any amount of marbles listed in the table

i need help please and thanks

i need help please and thanks

Answers

the answer is C - answer

can someone help me?

can someone help me?

Answers

Answer:

Step-by-step explanation:

X = 152 -90 = 62 degree

Please help! My test is timed and im having trouble
Solve the following problem. It may be helpful to use draw a chart on scrap paper to organize the information and write the equation. Be sure to show all steps (V.E.S.T.) and work in order to receive full credit.

A grocer wants to make a 10-pound mixture of cashews and peanuts that he can sell for $3.64 per pound. If cashews cost $5.80 per pound and peanuts cost $2.20 per pound, how many pounds of each must he mix?

Answers

He will have to mix 3 pounds of cashews and 7 pounds of peanuts .

What is equation ?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Let c be denoted as cashew and p be denoted as peanuts

c + p = 10  ⇒ (1)

5.6c + 2.3p = 3.29*10 ⇒ (2)

Multiply eq(1) by 560

Multiply eq(2) by 100

560c + 560p = 5600

560c + 230p = 3290

Subtract and solve for "p":

330p = 2310

p = 7  (amt. of peanuts needed)

substitute  the value of p in eq(1)

c + 7 = 10

c = 3  (amt. of cashews needed)

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The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used.

The plan from Company D costs $80 per month, with unlimited data.

Option A: C(g) = 15g + 10

Option B: D(g) = 80



For what number g is C(g) = 130?

Answers

Answer:

B

Step-by-step explanation:

Plot the point (−1/2, −5/2) on the coordinate plane.

Plot the point (1/2, 5/2) on the coordinate plane.

Answers

I hope this help you. Good luck
Note: -1/2=-0.5 and -5/2=-2.5
Plot the point (1/2, 5/2) on the coordinate plane.

A una prueba de ingreso a la Universidad se presentaron 100 alumnos, de los cuales 65 aprobaron el examen de Matemáticas, 25 el de Matemáticas y Fisica y 15 aprobaron solo el de Física. ¿Cuántos no aprobaron ninguno de los exámenes mencionados?

Answers

As 100 applicants to the university took the admission exam, 20 individuals failed all of them.

what is set ?

A set seems to be a type of graphical model of several different types of objects. The components but rather concepts that form up a set can be any kind of data object. the use of signs, numbers, arrows, other geometric figures, points in geography, variables, and even different values.

A proposition seems to be a structured collection of variables that can be stated as a list or a hypothesis builder in mathematics. Set classification is commonly accomplished with curly brackets. An example of a set is A = 1, 2, 3, and 4. A set is just a collection of things that are exhibited together. Members or elements of a set are the things that make it up. Any item may make up a set's components, but for our purposes,

There are 20 students who did not pass any of the two courses

Let the sets be:

A: they passed math

B: they passed physics

So we want to calculate the union of the two sets, to then calculate the complement.

We have that by hypothesis:

|a| = 65

|A∩B| = 25

|B| - |A∩B| = 15 ⇒ |B| = 15 + 25 = 40

By set theory:

|AUB| = |A| + |B| - |A∩B|

⇒ |AUB| = 65 + 40 - 25 = 80

|(A∪B)'| = 100 - 80 = 20

As 100 applicants to the university took the admission exam, 20 individuals failed all of them.

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The complete question is :- 100 students took an entrance exam to the University, of which 65 passed the Mathematics exam, 25 the Mathematics and Physics exam and 15 only the Physics exam. How many did not pass any of the mentioned exams?

Round your answers to 2 decimal places
use 3. 14 for

Answers

Answer:

3

Step-by-step explanation:

0.1 rounds to 0 and 0.04 also rounds to zero. Therefore, the answer is 3.

Other Questions
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