2. Suppose you obtain a $3,000 T - note with a 3% annual rate, paid quarterly, with maturity in 5 years. How much interest will you earn?

Answer:

Beginning Cash balance was $4,640.

Step-by-step explanation:

Net cash flow from operating activities =      $19,600

Net cash flow used in investing activities = ($10,800)

Net cash provided by financing activities =  $12,960

Net increase in cash                                      $21,760

Beginning cash balance = Closing balance  ($26,400) less net increase in cash ($21,760)  = $4,640

The increase in cash represents the cash that was generated from operating, investing, and financing activities.  These three activities are the classifications of an entity's activities.  Operating activities are those activities that are normal to the business, i.e. activities the business undertakes under its mission.  The investing activities arise from the purchase and sale of investments.  These are not normal activities of most entities, except investment companies.  Financing activities are activities engaged by an entity to raise finance, including the repayment of the borrowed funds plus interest.

Answer:

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Step-by-step explanation:

We can find the slope by using the formula

m = (y2-y1)/(x2-x1)

m = (8 - -4)/97-7)

   = (8+4)/(7-7)

   = 12/0

We cannot divide by 0 so the slope is undefined

They aren't independent since the probability uses all the cards in the deck

So at the first deal we have the chance of 26/52 of getting a red card, at the second deal we have the chance of a 25/51 of getting another red card, so they aren't independent

Answer:

The solution is X<18

Step-by-step explanation:

When Mason was solving the inequality he subtracted two from the equation instead of adding two to solve for x.

X-2<16

X<18

Answer:

Step-by-step explanation:

x - 2 < 16

We eliminate 2 to isolate the variable, x by adding 2 to both sides. -2 + 2 = 0.

x < 18

We can test this because 17 is less than 18. Pretend x = 17

17 < 18✅

Mason subtracted 2, instead of adding 2.

In order to graph this, put an open circle at 18, and the arrow should point to the left.

Hope this helps ;D

Step-by-step explanation:

wait a person was about to report it sorry ;/

had to take it off

Answer:

Sin(2x)+sin(x)+cos(2x)-1

Step-by-step explanation:

Answer:

  15x+10

Step-by-step explanation:

The area of a rectangle is given by the formula ...

   A = LW

Fill in the given values and simplify.

  A = (3x+2)(5)

  A = 15x +10

The area of the rectangle is 15x+10.

Answer:

[tex]15x + 10[/tex]

Step-by-step explanation:

[tex]area = length \times width \\ = 3x + 2 \times 5 \\ = 5(3x + 2) \\ = 15x + 10[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

x = 18°

y = 6

Step-by-step explanation:

in a parallelogram:

Any two opposite sides are congruent

and any two opposites angles are congruent:

then

y + 4 = 10

and 3x = 54

then

y = 6

and x =  54/3 = 18

Answer:

x= 18 , y = 6

Step-by-step explanation:

A parallelogram has two opposite sides equal and parallel hence;

y + 4 = 10

y = 10 -4 = 6

Similarly

54 = 3x( opposite angle of a parallelogram are the same because it's congruent)

3x = 54

x = 54/ 3 = 18°

To be congruent means to have the same shape, size and form but can be flipped.

Answer:

14 years 3 months.

Step-by-step explanation:

5 + 8 = 13 years

6 + 9 = 15 months = 1 year 3 months.

Total = 14 years 3 months.

Answer:

a) E(X) = 71

b) V(X) = 20.59

Sigma = 4.538

Step-by-step explanation:

The question is incomplete:

According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January 5, 2015).

Suppose we randomly select 100 tweets.

a) What is the expected number of these tweets with no reaction?

b) What are the variance and standard deviation for the number of these tweets with no reaction?

This can be modeled with the binomial distribution, with sample size n=100 and p=0.71, as the probability of no reaction for each individual tweet.

The expected number of these tweets with no reaction can be calcualted as the mean of the binomial random variable with these parameters:

[tex]E(X)=n\cdot p=100\cdot 0.71=71[/tex]

The variance for the number of these tweets with no reaction can be calculated as the variance of the binomial distribution:

[tex]V(X)=np(1-p)=100\cdot0.71\cdot0.29=20.59[/tex]

Then, the standard deviation becomes:

[tex]\sigma=\sqrt{V(X}=\sqrt{20.59}=4.538[/tex]

Answer:

Option (1)

Step-by-step explanation:

Quadratic equation is given as,

2x² + 8 = 0

Let the function is,

f(x) = 2x² + 8

f(x) = 2(x - 0)² + 8

Now we will prepare the table for every input value,

x    -2      -1         0        1          2

y     16      10       8        10        16

By plotting these points we get a parabola having vertex at (0, 8).

Graph of the given function doesn't touches or intersects the x-axis.

And we know if a graph has no x-intercept, function graphed will have no real solution.

Therefore, function f(x) will have no real solutions.

Option (1) will be the answer.

Answer:

60 foot

Step-by-step explanation:

Just multiply by 10?

Answer:

12ft [tex]\times[/tex]7ft [tex]\times[/tex]6ft

Step-by-step explanation:

Given that truck can hold = 504 [tex]ft^{3}[/tex] i.e.

Volume, V = 504 [tex]ft^{3}[/tex]

Length of cargo space = 12 ft

Let width of cargo space = w ft

As per question statement:

Let height of cargo space = (w-1) ft

To find: The Dimensions of Cargo Space

Formula for Volume of Cargo Space:

V = Length [tex]\times[/tex] Width [tex]\times[/tex] Height

Putting the given values and conditions:

504 = 12 [tex]\times[/tex] [tex]w \times (w-1)[/tex]

[tex]\Rightarrow w(w-1) = \dfrac{504}{12}\\\Rightarrow w^{2} -w = 42\\\Rightarrow w^{2} -w - 42=0\\\Rightarrow w^{2} -7w +6w -42 =0\\\Rightarrow w(w -7) +6(w -7) =0\\\Rightarrow (w -7)(w+6) = 0\\\Rightarrow w =7, -6[/tex]

Dimensions can not be negative, so width, w = 7 ft

Height = (w-1) = 7-1 = 6 ft

So, the dimensions are 12ft [tex]\times[/tex]7ft [tex]\times[/tex]6ft.

Answer:

a) January 24(24 de Enero)

b) Paula will have made 5 visits(Paula habrá hecho 5 visitas). Mario will have made 4 visits(Mario habrá hecho 4 visitas).

Step-by-step explanation:

When two events, A and B, happen every x and y days, respectively, they will happen on the same day in each lcm(x,y) days. lcm(x,y) is the lesser common multiple of x and y which is not 0.

In this question:

Paula each 5 days

Mario each 6 days

Multiples of 5: {0, 5, 10, 15, 20,25,30, ...}

Multiples of 6: {0, 6, 12, 18, 24, 30, ...}

a) ¿Cuándo volvieron a coincidir?

lcm(5,6) = 30

30 days from December 24, which is January 24(24 de Enero).

b) ¿Cuántas visitas habrá hecho cada uno?

Paula visits each 5 days.

30 is 6th non-zero multiple of 5. This means that on January 24 will be her 6th visit. So she will have made 5 visits.

30 is the 5th non-zero multiple of 6. This means that on January 24 will be her 5th visit. So he will have made 4 visits.

Answer:

Standard score z=0.07

Step-by-step explanation:

The z-score, or standard score, represents an equivalent value for X but in the standard normal distribution, where μ=0 and σ=1.

For X=28.3 in a normal distribution with μ=26.3 and σ=28.1, the standard score can be calculated as:

[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{28.3-26.3}{28.1}=\dfrac{2}{28.1}=0.07[/tex]

This value is 0.07 standard deviations right to the mean.

In the picture attached, we have located the z-score.        

Answer:

Ground distance of Bob  from his friends house = 61 ft (Approx)

Step-by-step explanation:

Given:

Length of string = 75 ft

Angle with the ground = 35°

Find:

Ground distance of Bob  from his friends house.

Computation:

Using trigonometric application:

⇒ Cos [tex]\theta[/tex] = Base / Hypotenuse

⇒ Cos 35° = Base / 75

⇒ 0.819 = Base / 75

⇒ Base = 61.425 ft

Ground distance of Bob  from his friends house = 61 ft (Approx)

Answer:

The probability that a randomly selected small cube is rolled and the face on the top is black is P=0.2.

Step-by-step explanation:

We have a cube, with the faces painted black, that each side is divided in 5, so we end up with 125 cubes.

We have to calculate the probability that a randomly selected cube is rolled and the face on the top is black.

This probability is equal to the proportion of black area in the total area of the cube.

We can define the side of the original cube as A=5a, being a the side of the small cubes.

The area that is painted black is equal to the sum of 6 squares of side A. In terms of a, that is:

[tex]S_b=6\cdot A^2=6\cdot(5a)^2=6\cdot25a^2=150a^2[/tex]

The total area of the 125 small cubes is:

[tex]S=125(6a^2)=750a^2[/tex]

Then, the ratio of black surface to the total surface is:

[tex]s_b/s=(150a^2)/(750a^2)=0.2[/tex]

Then, we can conclude that the probability that a randomly selected small cube is rolled and the face on the top is black is P=0.2.

Answer:

11.62 ounces

Step-by-step explanation:

Answer:

13 ppl choose both

Step-by-step explanation:

Hello,

In a restaurant 40% of the customers choose Chinese food

while 65% opt for Pakistani food.

if the restaurant is visited by 260 people then how many opt for both ?

There are 260 people we need to compute

40% of 260 = 40*260/100 = 104 to know the customers choosing Chinese food

65% of 260 = 65 * 260/100 = 169  to know the customers choosing Pakistani food

There are ppl choosing both Chinese and Pakistani, let s note x

we can say that 104 + 169 -x = 260

so x = 273-260=13

in conclusion, 104-13=91 ppl choose Chinese food only

169-13=159 ppl choose Pakistani food only

13 ppl choose both

in total there are 91 + 159 + 13 = 260

hope this helps

The number of people who opt for both Chinese and Pakistani food is 13.

We have,

Let's denote the number of people who choose Chinese food as "C" and the number of people who choose Pakistani food as "P".

We are given that 40% of the customers choose Chinese food, which means

C = 40% of 260.

C = 0.4 * 260

C = 104

Similarly, we are given that 65% of the customers opt for Pakistani food, which means

P = 65% of 260.

P = 0.65 * 260

P = 169

Now, we need to determine the number of people who opt for both Chinese and Pakistani food.

To find this, we can use the principle of inclusion-exclusion.

The total number of people who opt for both is given by:

Total = C + P - Both

We know that the total number of customers is 260, so:

260 = 104 + 169 - Both

Rearranging the equation to solve for Both:

Both = 104 + 169 - 260

Both = 273 - 260

Both = 13

Therefore,

The number of people who opt for both Chinese and Pakistani food is 13.

Learn more about percentages here:

https://brainly.com/question/11403063

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Answer:

Step-by-step explanation:

9x + 2y = 24  (A)

y = 6x + 19 ------ > y - 6x = 19 * (-2) -------> -2y + 6x = -38 (B)

(A) + (B)

15x = -14

x = -14/15

y = 6 * (-14/15) + 19 = -28/5 + 19 = 67/5

Answer:

A. 9x + 2y = 24  

Answer:

5y + 8 < 23  and y < 3

2c - 3 = 9

Step-by-step explanation:

She bought a jewelry at a craft fair . The necklace is $8 and the bracelet is $5 each. Her total expenses is $23.

She bought a single necklace. The number of bracelet she bought is unknown but each of the bracelet she bought is $5 each. The number of bracelet she bought can be represented below.

Let

y = number of bracelet bought

Therefore, the cost of the total number of bracelet will be 5y

Recall the total expenses is $23

5y + 8 < 23  and y < 3

if you insert the value of y in the following inequalities the resulting value should be less than 23 so the value of y should be less than 3.

2. 2c - 3 = 9

Answer:

the mathematical model is : [tex]-\frac{1}{A}= kt - \frac{1}{50}[/tex]

Step-by-step explanation:

Given that:

Let A(t) to be the amount of oil in the barrel at time t.

However; Suppose that the amount of oil is decreasing at a rate proportional to the product of the time elapsed and the amount of oil present in the barrel.

Then,

[tex]\frac{dA}{dt} \ \alpha \ A^2[/tex]

[tex]\frac{dA}{dt}= KA^2[/tex]

Initially the 100 -gallon barrel is half-full of oil

So, A(0) = 100/2 = 50

[tex]\frac{dA}{dt}= KA^2 \ \ \ \ \ \ :A(0)=50[/tex]

The variable is now being separated as:

[tex]\frac{dA}{A^2}=kdl[/tex]

Taking integral of both sides; we have:

[tex]\int\limits\frac{dA}{A^2}=\int\limits \ kdt[/tex]

[tex]-\frac{1}{A}= kt +C[/tex]

However; since A(0) = 50; Then

t = 0  ; A =50 in the above equation

[tex]-\frac{1}{50}= 0 +C[/tex]

[tex]C = - \frac{1}{50}[/tex]

Thus; the mathematical model is : [tex]-\frac{1}{A}= kt - \frac{1}{50}[/tex]

Answer:

12x2

Step-by-step explanation:

Answer:

speed = distance ÷ time

6÷2 = 3

his speed is 3 miles per hour

he can cover 3 more miles....

The percentage of change in productivity from April to May is found to be 6.66%.

A change in labour productivity reflects an output change that cannot be accounted for by a change in the number of hours worked. The development of technology over time might lead to an increase in output per hour enhanced employee skills.

We must first determine the number of man hours worked in April in order to compute the percentage change in productivity:

8 employs worked for 40 hours along with 7 employs worked for 10 hours in a week( total 4 weeks in April).

Input of April is,

= 8×40 + 7×10×4

= 1560 hours

To determine the productivity in April, divide the total sales by the number of man hours:

= 45000/1560

= 28.846

8 employs worked for 40 hours along with 9 employs worked for 15 hours in a week( total 4 weeks in April).

Input of May is,

= 8×40 + 9×15×4

= 1820 hours

To determine the productivity in April, divide the total sales by the number of man hours:

= 56000/1820

= 30.769

Finding the difference between productivity in each month and dividing by April's productivity percentage yields the percent change in productivity:

= [tex]\frac{30769-28.846}{28.846}[/tex]×[tex]100[/tex]

= 6.66 %

Therefore, the productivity from April to May increased by 6.66%.

To know more about how to find percentage change, here

https://brainly.com/question/809966

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Answer:

(7, 64.33)

Step-by-step explanation:

For a woman suspect whose shoe size was found at the crime scene, the equation which can be used to predict the estimated height is given as:

[tex]y=1.19x+56,$ where:\\x = woman's shoe size\\ y= the estimated likely height of the woman in inches.[/tex]

(a)Let x=7

Then:  y =1.19(7)+56=64.33

An ordered pair that is a solution to the function is (7, 64.33)

(b) The estimated height of a woman who is of shoe size 7 is 64,33 inches.