The initial balance of a savings account was $275 Adter which transactions will the balance of the savings account be the same as the initial balance?

A. a withdrawal or $232 followed by a deposit of $132

B. a deposit of $278 followed by a withdrawal of $278

C. a withdrawal of $115 followed by a deposit of $312

D. a deposit of $205 followed by a withdrawal of $317

Answer:

3,0,-6,0

Step-by-step explanation:

x1=3 because 3+0+0=3

since x2 and s2=0.

Answer:

68≥25+3x

x≥15

Step-by-step explanation:

the overall goal is to have $68, so the goal needs to be less then or equal to the weekly $25 plus each additional subscription at $3 (x represents the needed amount of subscriptions he sells) the inequality would look something like 68≥25+3x because he wants the money this week.

to solve the inequality you would subtract the 25 from the 68, leaving you with 43≥3x as the new inequality, now you need to divide both sides by 3. Which comes out to 14.33333..... since we cant sell a fraction of a subscription you must round up giving you the new inequality of x≥15

this means that in order for Andre to get the cleats this week, he must sell at least 15 subscriptions

hope this helped

a.)   25x + 3y ≥ 68

b.) x = 1, y = 43

c.) As x increases, y decreases

A linear inequality is a mathematical relation which gives the range of values a variable or a function can take.

Given,

Wage per week= $25

Subscription earning = $3

Let x and y be the number of weeks and number of subscriptions.

Therefore, 25x + 3y ≥ 68

Hence, 25x + 3y ≥ 68 is the required inequality.

Let x = 1

Therefore  minimum value of y = 43.

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Rebecca had $100

and each week, she add $45

Let the number of weeks is x

So, after x weeks, she will have y

y = 100 + 45x

See the following figure:

After 5 weeks, y = 100 + 45 * 5 = 325

============================================

After 1 week , y = 145

after 2 weeks , y = 190

after 3 weeks , y = 235

and so on

So, The savings account balance can be shown by a sequence.

The sequence will be: 145 , 190 , 235 , 280 , .......

The kind of this sequence will be arthimatic sequence , because there is a common defference between the terms of the sequence which = 45

Answer:

the question is not well defined

Answer:

20,000

Step-by-step explanation:

the 1 will make the 21437 round down because it is less than 5

Answer:

  94.3

Step-by-step explanation:

You want to know how to fill in the proportion associated with the question, "What is 115% of 82?"

The diagram is intended to help you match parts of the question to parts of the proportion. The attachment shows the intended relation.

The solution is found by multiplying both sides by 82:

  (x/82)·82 = (115/100)·82

  x = 94.3

The question can also be written as a statement:

  "what" is 115% of 82

When written as an equation, "is" means "equals", and "of" means "times":

  what = 115% × 82

Of course, you can use any variable name of your choosing in place of "what". In your diagram, that is "x". And, you know how to write a percentage as a fraction or decimal, so this becomes ...

  x = 115/100 × 82 = 1.15 × 82

All that remains is to evaluate this expression.

  x = 1.15 × 82 = 94.3

So, the answer to the question is ...

  94.3 is 115% of 82.

Answer: 80 degrees

Step-by-step explanation:

Answer:

B = 54 to the nearest degree.

Step-by-step explanation:

Remark

This is a sine law question. They can be rather nasty because no answer or 2 answers are possible. This one is well behaved because B, you are told, is acute. The two answer kind needs the supplement of an acute angle.

Sorry this blabs on and shouldn't. You are looking for <B

Formula

Sin(<B)/the side opposite = Sin(<A) / side opposite it

Simplified

Sin(<B) / 9 = Sin(A)/11

Sin(<B) / 9 = Sin(80) / 11             Multiply both sides by 9

9*Sin(B) / 9 = 9 * Sin(80) /11      The 9s Cancel

Now all you need to do is put it in your calculator. Do you need the steps?

Sin(B) = 9*sin(80) / 11

Sin(B) = 9 * 0.9848 /11

Sin(B)= 0.8058

B = Sin-1(0.8058)

B = 53.68

B = 54

Answer:

-30 -40 -50

are the integers...

Answer:

g(x) = 3 (x + (-5)) (x + (-9))

Zeros: (5 and 9)

Step-by-step explanation:

3a² -42a +135 = 3 (a² - 14a +45) = 3 (a-5) (a-9)

3 (a-5) (a-9) = 0

a = 5 or a = 9 ..... Zeros

Answer:

\(60cm {}^{2} \)

Step-by-step explanation:

Area for triangle is equal to half base time perpendicular height.

\( \frac{1}{2} (10 \times 12)\)

\( \frac{1}{2} (120)\)

\(60cm ^{2} \)

note that it's 10cm X 12 cm that's how you get cm²

Answer:84

Step-by-step explanation:

Answer:

84 hamburgers were sold

Answer:

The warranty the company should use is of 57,520 mile.

Step-by-step explanation:

Let X denote the tread life of a particular brand of tire.

It is provided that,  \(X\sim N(60,000, 1600^{2})\).

Also provided that the company wants 94% of the tires to outlast the warranty.

Let x denote the warranty .

That is, P (X > x) = 0.94.

⇒ P (X < x) = 0.06

⇒ P (Z < z) = 0.06

The corresponding value of z is -1.55.

*Use a z-table.

Compute the value of x as follows:

\(z=\frac{X-\mu}{\sigma}\\\\-1.55=\frac{x-60000}{1600}\\\\x=60000-(1.55\times 1600)\\\\x=57520\)

Thus, the warranty the company should use is of 57,520 mile.

The frequency in the table represents the number of boxes coloured with a particular colour.

The number of red and orange stripes are 9.

Thus, the required missing value in the table is 9.

Answer:

Hope I helped!~

Step-by-step explanation:

To find the equation of the line, we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Using the two data points given, we can calculate the slope:

m = (11.25 - 8.35) / (1995 - 1993) = 1.95

To find the y-intercept, we can use one of the data points:

8.35 = 1.95(1993) + b

b = -3884.65

So the equation of the line is:

y = 1.95x - 3884.65

To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:

y = 1.95(6) - 3884.65

y = 11.7 - 3884.65

y = -3872.95

This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.

Answer:

4.5 feet of snow = 27 inches H2o. Please read the explanation for better details

Step-by-step explanation:

if 0.5 feet of snow melts into 2 inches of water, then that means that 6 inches of snow melts into 2 inches of water. This means that for every 2 inches of snow you melt, it will become 1 inch of water. If 4.5 ft = 54 inches, you simply divide by 2, getting your answer of 27 inches of snow. Hope this helps! :)

Answer:

it should be 20 i hope it helps but im nt 100% sure

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

first you would see what 10 to the 2 power whinch is 100 then see what 5to the 2 power which is 25 so then you do 25+3=28 then do 28+100=128 so your answer is 128

1.- We are given that:

therefore:

2.- Recall that a condition that must be satisfied for three lengths to be the sides of a triangle is that the sum of any pair of lengths is greater than the other length, therefore:

3.- Substituting AC for AB, using the congruence statement in point number 2, we get:

Step-by-step explanation:

I hope this helps you!!!!!!

Your analysis is correct. Here's a summary:

If it is sunny, then it is 80° Fahrenheit. (Original statement)

Converse: If it is 80° Fahrenheit, then it is sunny. (Valid)

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Valid)

If it is not sunny, then it is not 80° Fahrenheit. (Original statement)

Converse: If it is not 80° Fahrenheit, then it is not sunny. (Invalid)

Counterexample: A day that is not 80° Fahrenheit and not sunny (e.g., 70° and cloudy).

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Invalid)

Counterexample: A day that is 80° Fahrenheit and cloudy.

In cases 1 and 2, the original statements and their converses are valid because the relationship between "sunny" and "80° Fahrenheit" holds in both directions. However, in cases 3 and 4, the converses are invalid because there are counterexamples where the second part of the statement (either "not 80° Fahrenheit" or "cloudy") does not necessarily imply the first part ("not sunny" or "80° Fahrenheit").

Answer:

15m

Step-by-step explanation:

Use Pythagoras

Folow the steps in the image

Answer:

:] brainlist me friends

If the rainfall was recorded on 36 (instead of 9) randomly selected days throughout the year, the standard error of the mean would be equal to 0.195 inches.

The standard error measures the variability or uncertainty in an estimate or statistic based on a sample. It is often denoted as SE or SE(θ), where θ represents a population parameter of interest.

Given that

the standard error of the mean, SE = 0.39 (when sample size,n = 9).

Let s be the standard deviation around the mean, then

Since SE = \(\dfrac{s}{\sqrt n}\)

In this sample,

0.39 = \(\dfrac{s}{\sqrt9}\)

s = 0.39 × 3

s = 1.17.

If the sample size is increased from 9 to 36,

SE = \(\dfrac{1.17}{\sqrt36}\)

SE = \(\frac{1.17}{6}\)

SE = 0.195 inches.

Thus, the standard error of the mean changes from 0.39 inches to 0.195 inches.

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Answer:

It might be past the time, but I think the second one.

Step-by-step explanation:

The magnitude of angle Z include the following:

cosZ = 0.471

sinZ = 0.88

tanZ = 1.875

In order to determine the magnitude of angle Z, we would apply the basic trigonometric ratio because the given side lengths represent the adjacent side, opposite side, and hypotenuse of a right-angled triangle.

cos(θ) = Adj/Hyp

Where:

For cosZ, we would apply the cosine trigonometric ratio as follows;

cosZ = 13.6/28.9

cosZ = 0.4706

Z = cos⁻¹(0.4706)

Z = 61.93°.

For sinZ, we would apply the sine trigonometric ratio as follows;

sinZ = 25.5/28.9

sinZ = 0.8824

Z = sin⁻¹(0.8824)

Z = 118.07.

For tanZ, we would apply the sine trigonometric ratio as follows;

tanZ = 25.5/13.6

tanZ = 1.875

Z = tan⁻¹(1.875)

Z = 61.93.

Answer:

2x - 3 = 11

x = -21

Step-by-step explanation:

The time taken to reaches its maximum height is 3s.

In the question,

It is given that,

Height, h(t) = \(96t - 16t^{2}\)

The maximum value of the function is obtained if the first derivative of the function h (t) = 0.

\(\frac{dh(t)}{dt} = 96 - 32t = 0\)

⇒ \(t = 3\)

So, time taken to reach its max height is 3 seconds.

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Answer: The answer is C

Step-by-step explanation: This is because the equation has a greater than or equal to sign (≥). This mean that there will be a closed dot. Also, when it comes to inequalities, the sign points to where the line will be drawn, (greater than is to the right and less than is to the left), which indicates that the answer is C

We need to find the n term formula:

The given sequence represents an arithmetic sequence and it follows the next form:

Where a represents the first term, in this case, a= -31

n is the term of the sequence

And d is the constant:

Let's find the constant

a1 to a2 =

-32 to -132, then, -32 needs -100 units bo equal to -132.

Now, -132 need -100 units to be equal to -232.

-232 needs -100 units to be equal to -332

Therefore, the constant d is equal to -100, d=-100

Replacing these values:

Then:

With this n formula, we can replace n=40, then, we will find a40:

Therefore:

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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