Here is a bank statement.
=
$
Responsible Bank
210 2nd Street
Anytown, MH 06930
Andre Person
1729 Euclid Ave
Anytown, MH 06930
Date
2017-10-03 Previous Balance
2017-10-05 Check Number 256
2017-10-06 ATM Deposit - Cash
2017-10-10 Wire Transfer
2017-10-17 Point of Sale - Grocery Store
2017-10-25 Funds Transfer from Savings
2017-10-28 Check Number 257
2017-10-29 Online Payment - Phone Services
Description
Checking Account Statement
Page: 1 of 1
Statement Period
2017-10-01 to 2017-11-01
Withdrawals Deposits
28.50
37.91
16.43
42.00
72.50
45.00
50.00
1. If we put withdrawals and deposits in the same column, how can they be represented?
2. Andre withdraws $40 to buy a music player. What is his new balance?
3. If Andre deposits $100 in this account, will he still be in debt? How do you know?
Account No.
1120635978
Balance
39.87
11.37
56.37
18.46
2.03
52.03
10.03
-62.47

The values of the length and angle are;

AD = 22 units

m < ADC = 106 degrees

The properties of a kite are given as;

From the information given, we have that;

AB = 8x - 2

AD = 6x + 4

Equate the sides

8x - 2 = 6x + 4

collect like terms

2x = 6

x = 3

AD = 22 units

Also,

m < ABC = m < ADC

Substitute the values

12x + 10 = 15x - 14

collect like terms

-3x = -24x

x = 8

m < ADC = 106 degrees

Learn about kites at: https://brainly.com/question/20597161

#SPJ1

Answer: AD = 22 units

Step-by-step explanation:

m < ADC = 106 degrees

AB = 8x - 2

AD = 6x + 4

Equate any sides

8x - 2 = 6x + 4

Collect terms

2x = 6

x = 3

AD = 22 units

m < ABC = m < ADC

Substitute the values

12x + 10 = 15x - 14

Collect terms

-3x = -24x

x = 8

m < ADC = 106 degrees

Answer:

A

Step-by-step explanation:

because if you do 3x+25+95 and add 25 plus 95 then you will get 120. then you divide 120 by 3 and should get 30 as k

1)

a. 4

b. 9

c. -7

d. -23

2)

a. F

b. F

c. T

d. F

3)

a. 100 -66 =34

b. 78 x 3 = 234

c. 36 + 24 = 60

d. 4 x 17 x 3 = 204

21)

a. -9 + (-12)

= - 9 - 12

= - 21

b. -17 + (3)

= -17 + 3

= - 14

c. 24 + ( -11 )

= 24 - 11

= 13

d. - 15 + (-10)

= - 15 - 10

= - 25

e. - 63 + ( -42) + 8

= - 63 - 42 + 8

= - 97

f. 101 + ( -11 ) + ( -100 )

= 101 -11 - 100

= - 10

The value of 1 plus 1 when adding odd numbers is 2.

Odd numbers simply means the numbers that cannot be divided into pairs. They include 1, 3, 5, 7, 9, ,etc.

In this case, 1 plus 1 will be:

= 1 + 1

= 2

It's important to note that the addition of two odd numbers will give a even number.

Learn more about odd numbers on:

brainly.com/question/2263958

#SPJ1

Answer: 3/50

Step-by-step explanation: 6/100 reduced is 3/50.

To show that the given equations represent trigonometric identity statements, we will simplify each equation and demonstrate that both sides of the equation are equal.

Starting with sec²θ(1 - cos²θ):

Using the Pythagorean identity sin²θ + cos²θ = 1, we can rewrite sec²θ as 1 + tan²θ. Substituting this into the equation, we get:

(1 + tan²θ)(1 - cos²θ)

= 1 - cos²θ + tan²θ - cos²θtan²θ

= 1 - cos²θ(1 - tan²θ)

= sin²θ

Thus, the equation simplifies to sin²θ, which is a trigonometric identity.

For cosx(secx - cosx) = sin²x:

Using the reciprocal identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the equation as:

cosx(1/cosx - cosx)

= cosx/cosx - cos²x

= 1 - cos²x

= sin²x

Hence, the equation simplifies to sin²x, which is a trigonometric identity.

Considering cosθ + sinθtanθ = secθ:

Dividing both sides of the equation by cosθ, we obtain:

1 + sinθ/cosθ = 1/cosθ

Using the identity tanθ = sinθ/cosθ, the equation becomes:

1 + tanθ = secθ

This is a well-known trigonometric identity, where the left side is equal to the reciprocal of the right side.

Simplifying (1 - cos∝)(cosec∝ + cot∝):

Expanding the expression, we have:

cosec∝ - cos∝cosec∝ + cot∝ - cos∝cot∝

= cot∝ - cos∝cot∝ + cosec∝ - cos∝cosec∝

= cot∝(1 - cos∝) + cosec∝(1 - cos∝)

= cot∝tan∝ + cosec∝sec∝

= 1 + 1

= 2

Thus, the equation simplifies to 2, which is a constant value.

In summary, we have analytically shown that the given equations represent trigonometric identity statements by simplifying each equation and demonstrating that both sides are equal.

To learn more about trigonometric identities click here: brainly.com/question/24377281

 #SPJ11.

Answer:

a) 60

b) 60 mph

Step-by-step explanation:

(a)

Let :-

x¹ = 1

x² = 2

y¹ = 60

y² = 120

Slope of a line = \(\frac{Rise}{Run}\)

where \(Rise=y^2 - y^1\\\) & \(Run=x^2 - x^1\\\)

So , putting all the values in the formula gives :-

\(Slope = \frac{y^2-y^1}{x^2-x^1}= \frac{120-60}{2-1} = 60\)

(b)

In a distance - time graph , slope represents the speed .

In the first bit , we found the value of slope. So,

Speed of the bus = 60 mph

The slope and speed of displayed by the graph is :

The slope of the line is the ratio of the rise and the run.

The slope = (Rise / Run) = (60 / 1) = 60

The slope means that the distance moved per hour by the bus during the trip is 60 miles

The speed is the distance moved per hour

The speed can be calculated thus :

Therefore, the slope is 60 and the speed is 60 mph.

Learn more :https://brainly.com/question/23774048

The object distance is 0, which implies that the object is at the focus of the concave mirror.

For a concave mirror, the magnification is given by the formula:

m = -di/do

where m is the magnification, di is the image distance, and do is the object distance. Since we are given that the magnification is -2.0, we can write:

-2.0 = -di/do

Simplifying this expression, we get:

di = 2do

We can also use the mirror formula for a concave mirror:

1/f = 1/do + 1/di

where f is the focal length of the mirror. Substituting di = 2do and f = -16 cm (since the mirror is concave), we get:

1/-16 = 1/do + 1/(2do)

Multiplying both sides by -16do, we get:

do - 2f = -32

Substituting f = -16 cm, we get:

do - (-32) = -32 + 32

do = 0

This means that the object distance is 0, which implies that the object is at the focus of the concave mirror. This is a valid result, since a concave mirror can form a real, inverted image for an object placed at a distance equal to its focal length. In this case, the magnification would be -1, not -2. So, it is not possible to have a magnification of -2 for an object distance in front of a concave mirror with a focal length of 16 cm.

To learn more about concave mirrorvisit:https://brainly.com/question/3555871

#SPJ11

Given that the client requested a permanent haircut, there is a 66.66% chance that he would request a haircut.

The following calculation must be performed in order to determine the probability that a randomly selected client requested a haircut given that he has requested a permanent: Given that a salon owner noted what types of services its clients requested last week, the results showed that 5% requested dye only, 30% haircut and dye, 35% requested haircut only, 10% hair cut and permanent, 5% permanent only, and 15% other.

Add all of the options that include a perm, and then use a cross multiplication to figure out how many of those options include a haircut.

10 (permanent and haircut) x 5 (permanent only) = 15 15 = 100 10 = X 10 x 100/15 = 66.66 = X

Thus, the probability that a randomly selected client would have requested a haircut given that he had previously requested a permanent is 66.66%.

To learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Full Question = a salon owner noted what types of services its clients requested last week. Here are the results. 5% dye only, 30% haircut and dye, 35% haircut only, 10 % haircut and permanent, 5% permanent only, and 15% other. Find the probability that a randomly chosen client requested a haircut given the requested a permanent. P(haircut l permanent).

Therefore, if roses and lilies are the only flowers in the garden, approximately 60% of the garden consists of roses.

To determine the percentage of the garden that consists of roses, we need to calculate the fraction of roses relative to the total number of flowers in the garden.

Given that the ratio of roses to lilies is 3 to 2, we can assume that for every 3 roses, there are 2 lilies. This ratio implies that the total number of flowers in the garden is a multiple of 5 (3 + 2).

Let's assume that there are 5 units of flowers in the garden. In this case, there would be 3 units of roses and 2 units of lilies.

To find the percentage of roses, we divide the number of roses (3 units) by the total number of flowers (5 units) and multiply by 100:

Percentage of roses = (3 / 5) * 100 = 60%

Therefore, if roses and lilies are the only flowers in the garden, approximately 60% of the garden consists of roses.

To learn more about Percentage visit:

brainly.com/question/32575737

#SPJ11

The Law of sines states:

Substituting with data, and solving for angle P, we get:

Answer:

8(46/1^59×6=6,789 this is the answer

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

Learn more about graph from

https://brainly.com/question/19040584

#SPJ11

Answer:

B

Step-by-step explanation:

x=180-90-20-50=20

m∠COD=20+50=70

Answer:

B

Step-by-step explanation:

∠ AOB + ∠ BOC + ∠ COD = 180° ( AOD is a straight line ) , then

20 + 90 + x + 50 = 180 , that is

x + 160 = 180 ( subtract 160 from both sides )

x = 20

Then

∠ COD = x + 50 = 20 + 50 = 70°

The gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1)

This gradient is a vector that points in the direction of the greatest rate of increase of the function f(x, y, z) = log(x2 + y2 + z2). To evaluate this gradient, the partial derivatives of the function with respect to x, y, and z must be calculated.

The partial derivative of the function with respect to x is (2x / (x2 + y2 + z2)). When x is 1, this simplifies to 2/1. Similarly, the partial derivative with respect to y is 0, and the partial derivative with respect to z is (2z / (x2 + y2 + z2)), which simplifies to 2/1 when z is 1. Therefore, the gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1).

Learn more about Gradient here:

https://brainly.com/question/30120866

#SPJ4

Answer:

0.11

Step-by-step explanation:

Let x be a random variable representing the number of registered voters in the congressional district. This is a binomial distribution since the outcomes are two ways. It is either a randomly selected registered voter is a conservative or not. The success would be that a randomly selected voter is a conservative. The probability of success, p = 60/100 = 0.6

The probability of failure, q would be 1 - p = 1 - 0.6 = 0.4

Given n = 10, we want to determine P(x = 4)

From the binomial distribution calculator,

P(x = 4) = 0.11

Answer:

About 29 feet.

Step-by-step explanation:

tan 60 = 50 / h

h = 50/ tan 60

= 28.87 ft

a)  We will cut the wire \($=60-4\left(\frac{60}{4+\pi}\right)$\) =26.3940

b) For the maximum area, we can not cut the wire anywhere.

Length of wire =Perimeter of circle +Perimeter of square

\($$\begin{aligned}& 2 \pi r+4 x=60 \\& r= \frac{60-4 x}{2 \pi}=\frac{30-2 x}{\pi}\end{aligned}$$\)

Let the side of squares x and r is the radius of the circle.

\($$\begin{aligned}\text { Area } & =\pi r^2+x^2 \\& =\pi\left[\frac{30-2 x}{\pi}\right]^2+x^2 \\A(x) & =\frac{1}{\pi}[30-2 x]^2+x^2 \\A^{\prime}(x) & =\frac{2}{\pi}(30-2 x)(-2)+2 x \\A^{\prime}(x) & =0 \Rightarrow \frac{2}{\pi}(30-2 x)(-2)+2 x=0 \\& x=\frac{60}{4+\pi} \approx 8.40\end{aligned}$$\)

A'(5) = -15.464, A'(9)=2.72

Since \($A^{\prime}(x)$\) the change negtive to positive at \($x=\frac{60}{4+\pi}$\), so its minima.

\(r=\frac{30-2\left(\frac{60}{4+\pi}\right)}{\pi}=\frac{30}{4+\pi}\)

a) for the minimum area the side of the square should be \($\frac{60}{4+\pi}$\) which is  approximately equal to 8.40.

We will need to cut the wire 4 times the side of the square

So we will cut the wire \($=60-4\left(\frac{60}{4+\pi}\right)$\) =26.3940

b) for the maximum area the problem is defined into \(0 \leqslant x \leqslant 15\)

So, when x=0 the square shrinks to 0 and the whole 60 wire is made into a circle.

When x=15 making the parameter of the. square 60 and the whole circle shrink to 0

So for the maximum area, we can not cut the wire anywhere.

For more questions on Area and mensuration

https://brainly.com/question/23561166

#SPJ4

Answer:

5x -4 ?

Step-by-step explanation:

Answer:

21/2 or 10.5

Step-by-step explanation:

5x - 3y

5(5/2) - 3(2/3)

25/2 - 2

25/2 - 4/2

21/2

The number of possible sets of heads and tails that have 2 heads is 11.

Given,

There is one coin and it is flipped five times.

First, we have to list out the outcome when we toss the coin five times.

(HHHHH), (HHHHT), (HHHTT), (HHTTT), (HTTTT), (TTTTT), (TTTTH), (TTTHH), (TTHHH), (THHHH), (THTHT), (HTHTH), (THHTT), (THHHT), (HTTTH), (HTTHH), (HTHHH), (THTTT), (TTHTH), (TTTHT), (TTHHT), (HHTHH), (TTHTT), (HHTTH), (HHTHT), (HTHTT), (THTHH), (THTTH), (HTHHT), (HHHTH)

Now, we can list out the possible sets with 2 heads.

(HHTTT), (TTTHH), (THTHT), (HTTHT), (HTTTH), (THHTT), (TTHHT), (TTHTH), (HTHTT), (THTTH), (HTHTT)

So, the number of possible sets of heads and tails that have 2 heads is 11.

Learn more about coin here: https://brainly.com/question/24158973

#SPJ4

The nurse should take immediate action by assessing the client's circulation further and notifying the healthcare team.

The absence of the right pedal pulse following a right femoral angiogram may indicate a potential complication, such as arterial occlusion or impaired blood flow to the lower extremities. To ensure prompt and appropriate care, the nurse should take the following steps:

Assess Circulation: The nurse should assess the client's circulation further by checking for other peripheral pulses, such as the dorsalis pedis or posterior tibial pulses. This can help determine if the absence of the right pedal pulse is localized or if it suggests a larger issue with blood flow.

Check Skin Color and Temperature: The nurse should also assess the color and temperature of the client's lower extremities. Pallor, coolness, or cyanosis may indicate compromised circulation and require immediate attention.

Notify Healthcare Team: It is essential for the nurse to promptly communicate their findings and concerns to the healthcare team, including the primary healthcare provider or interventional cardiologist. This allows for timely intervention and further evaluation of the client's condition.

By taking these steps, the nurse ensures a proactive approach to assessing and managing any potential complications following a right femoral angiogram, promoting the client's safety and well-being.

Learn more about temperature here:

https://brainly.com/question/24746268

#SPJ11

By multiplying 2 on both the numerator and denominator of  \(\frac{-3}{5}\) .

The expression \(\frac{-3}{5}\) + \(\frac{-7}{10}\) with a common denominator can be written as

\(\frac{-6}{10}\) + \(\frac{-7}{10}\)

A fraction is written with a numerator and a denominator where the numerator is less than the denominator.

Example: 1/3 is a fraction

We have,

\(\frac{-3}{5}\) + \(\frac{-7}{10}\)

We have different denominators and we need to make the denominator the same.

We will multiply 2 on both the numerator and denominator of  \(\frac{-3}{5}\).

= \(\frac{2 \times -3}{2 \times 5}\)

= \(\frac{-6}{10}\)

We see that,

The denominator in \(\frac{-6}{10}\)  and \(\frac{-7}{10}\)  is the same.

i.e 10.

Now,

\(\frac{-3}{5}\) + \(\frac{-7}{10}\) can be written as \(\frac{-6}{10}\) + \(\frac{-7}{10}\)

Thus,

By multiplying 2 on both the numerator and denominator of  \(\frac{-3}{5}\) .

The expression \(\frac{-3}{5}\) + \(\frac{-7}{10}\) with a common denominator can be written as

\(\frac{-6}{10}\) + \(\frac{-7}{10}\)

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ1

Answer:

$3,000 was invested in the account that gained 13%

$17,500 was invested in the account that lost 10%

Step-by-step explanation:

Let the amount in both accounts be x and y

x for the first and y for the second

Adding both is 20,500

x + y = 20,500 •••••(i)

First account earned 13% profit

= 13/100 * x = 0.13x

Second account, a loss of 10%

= -10/100 * y = -0.1y

Total loss of -1,360

This is;

-0.1y + 0.13x = -1,360 •••••••(ii)

From i, x = 20,500-y

Insert this into ii

-0.1y + 0.13(20,500-y) = -1,360

-0.1y + 2665 -0.13y = -1360

-0.23y = -1360-2665

-0.23y = -4025

y = -4025/-0.23

y = 17,500

To get x, we have

x = 20,500 -y

x = 20,500- 17,500

x = 3,000

I assume you want to simplify the expression: M + 5x + 2xy = 6x + 9xy - y

To do this, we can group the terms that contain the same variables together on each side of the equation. First, let's group the terms on the left-hand side:

M + 5x + 2xy = (5x + 2xy) + M

Now, let's group the terms on the right-hand side:

6x + 9xy - y = (9xy - y) + 6x

So the equation becomes:

(5x + 2xy) + M = (9xy - y) + 6x

Next, we can simplify both sides by combining like terms:

5x + 2xy + M = 9xy - y + 6x

Subtracting 5x and 2xy from both sides, we get:

M = 7xy - y + 1x

So the simplified equation is:

M = x(7y + 1) - y

Therefore, M is equal to x times the sum of 7y and 1, minus y.

please follow me for more if you need any help

There is no requirement for supplemental oxygen.

All 20 occupants can fly without oxygen supply.

As the altitude increases, the atmospheric pressure decreases, which in turn reduces the partial pressure of oxygen in the air. This reduction in oxygen availability can cause hypoxia, which can lead to impaired judgment, vision, and coordination, and can be fatal in extreme cases.

The calculation of oxygen requirements can involve estimating the total oxygen consumption based on the number of occupants, their age, and their physical condition, and then determining the appropriate type and quantity of oxygen delivery systems to be carried on board the aircraft.

Here we have

An unpressurized aircraft with 20 occupants other than the pilots will be cruising at 14,000 feet msl for 25 minutes.

According to the Federal Aviation Regulations, if an aircraft is flying at an altitude above 12,500 feet MSL for more than 30 minutes,

then oxygen must be supplied to the occupants if:

The cabin pressure altitude exceeds 14,000 feet MSL, or

The cabin pressure altitude exceeds 15,000 feet MSL for any period of time.

In this case, the aircraft is flying at 14,000 feet MSL for 25 minutes, which is less than 30 minutes.

Therefore,

There is no requirement for supplemental oxygen.

All 20 occupants can fly without oxygen supply.

Learn more about Unpressurized aircraft at

https://brainly.com/question/31663341

#SPJ4

Temperature fell 25° \(\\\)

5 PM => 20

10 PM => -5

Find the difference between both temperatures at 5 PM and 10 PM

T = 20 - ( -5) = 20 + 5 = 25

The reason we subtracted 10 PM from 5 PM (20 - ( -5)) and not the other way around is because 5 PM obviously comes before 10 PM.

We are given a coordinate grid with two lines. The first line is labeled y = 0.5x + 3.5 and passes through (-3,1), (-2.7,2.1), and (0,3.5). The second line is labeled y = (-2/3)x + (1/3) and passes through (-4,3), (-2.7,2.1), and (1/3,0).The approximate solution to the system of equations is the point of intersection between the two lines intersect at the point (-1,2)

We are to find the approximate solution to the system y. We can do this by graphing the two lines on the same coordinate grid and finding the point of intersection.

Graph of the two lines can be shown as below:

[Graph illustration showing the two lines intersecting]

We can see that the two lines intersect at the point (-1,2). Therefore, the approximate solution to the system y is (-1,2).

Therefore, the required is (-1,2).

Learn more about Intersection of Lines:

brainly.com/question/11297403

#SPJ11

Answer: (2.7, 2.1)

Step-by-step explanation: took the test

Answer:

can you change this picture?