dan deposits 6,000$ into an account that pays simple interest at a rate of 6% per year . how much interest will he be paid in the first 6 years

Answer: Danny's supermarket

Step-by-step explanation:

Danny's price- 0.75x1.5= $1.12 for 1 liter water bottle

Marta's price- $1.50 for 1.25 liter water bottle

1.12x1.25=1.40, if Danny was selling a 25% bigger bottle(making the bottle size equal to Marta's) it would cost $1.40, the lower price

Considering the situation described, the appropriate null hypothesis is given by:

[tex]H_0: p = 0.09[/tex]

At the null hypothesis, it is tested if the proportion is the expected one, that is, of 9%, hence:

[tex]H_0: p = 0.09[/tex]

At the alternative hypothesis, it is tested if there is enough evidence to conclude that the proportion is above 9%, hence:

[tex]H_1: p > 0.1[/tex].

More can be learned about an hypothesis test at https://brainly.com/question/26454209

#SPJ1

Answer:

No

Step-by-step explanation:

the mean is 16 (add 4+5+5+8, then divide answer by 4) and the mode is 5 (occurs most in data)

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$2543\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &4 \end{cases}[/tex]

[tex]2543=2000e^{\frac{r}{100}\cdot 4}\implies \cfrac{2543}{2000}=e^{\frac{r}{25}}\implies \log_e\left( \cfrac{2543}{2000}\right)=\log_e\left( e^{\frac{r}{25}} \right) \\\\\\ \ln\left( \cfrac{2543}{2000}\right)=\cfrac{r}{25}\implies 25\ln\left( \cfrac{2543}{2000}\right)=r\implies 6\approx r[/tex]

Answer:

Hello,

To find amount of inches in 58 centimeters, you need to use the information given.

0.4 inches = 1 centimeter

??? inches = 58 centimeter

58 x 0.4

= 23.20

Hence your answer is 23.2 inches are in 58 centimeters

Hope this helps ^^

Answer:

56. In the Vector Addition Lab, Anna starts at the classroom door and walks:

2.0 meters, West

12.0 meters, North,

31.0 meters, West,

8.0 meters, South

3.0 meters, East

Using either a scaled diagram or a calculator, determine the magnitude and direction of Anna's resulting displacement.

Answer: 30.3 meters, 172 degrees

To insure the most accurate solution, this problem is best solved using a calculator and trigonometric principles. The first step is to determine the sum of all the horizontal (east-west) displacements and the sum of all the vertical (north-south) displacements.

Horizontal: 2.0 meters, West + 31.0 meters, West + 3.0 meters, East = 30.0 meters, West

Vertical: 12.0 meters, North + 8.0 meters, South = 4.0 meters, North

The series of five displacements is equivalent to two displacements of 30 meters, West and 4 meters, North. The resultant of these two displacements can be found using the Pythagorean theorem (for the magnitude) and the tangent function (for the direction). A non-scaled sketch is useful for visualizing the situation.

Applying the Pythagorean theorem leads to the magnitude of the resultant (R).

R2 = (30.0 m)2 + (4.0 m)2 = 916 m2

R = Sqrt(916 m2)

R = 30.3 meters

The angle theta in the diagram above can be found using the tangent function.

tangent(theta) = opposite/adjacent = (4.0 m) / (30.0 m)

tangent(theta) = 0.1333

theta = invtan(0.1333)

theta = 7.59 degrees

This angle theta is the angle between west and the resultant. Directions of vectors are expressed as the counterclockwise angle of rotation relative to east. So the direction is 7.59 degrees short of 180 degrees. That is, the direction is ~172 degrees.

Useful Web Links

Vector Addition

[ #56 | #57 | #58 | #59 | #60 | #61 | #62 | #63 | #64 | #65 | #66 | #67 | #68 | #69 | #70 | #71 | #72 ]

57. In a grocery store, a shopper walks 36.7 feet down an aisle. She then turns left and walks 17.0 feet straight ahead. Finally, she turns right and walks 8.2 feet to a final destination. (a) Determine the magnitude of the overall displacement. (b) Determine the direction of the displacement vector relative to the original line of motion.

Answer: (a) 48.0 feet; (b) 21 degrees from the original line of motion

This problem is best approached using a diagram of the physical situation. The three displacements are shown in the diagram below on the left. Since the three displacements could be done in any order without effecting the resulting displacement, these three legs of the trip are conveniently rearranged in the diagram below on the right.

Now it is obvious from the diagram on the right that the three displacement vectors are equivalent to two perpendicular displacement vectors of 44.9 feet and 17 feet. These two vectors can be added together and the resultant can be drawn from the starting location to the final location. A sketch is shown below.

Since these displacement vectors are at right angles to each other, the magnitude of the resultant can be determined using the Pythagorean theorem. The work is shown below.

R2 = (44.9 ft)2 + (17.0 ft)2 = 2305 ft2

R = Sqrt(2305 ft2)

R = 48.0 feet

The angle theta in the diagram above can be found using the tangent function.

tangent(theta) = opposite/adjacent = (17.0 ft) / (44.9 ft)

tangent(theta) = 0.3786

theta = invtan(0.3786)

theta = 20.7 degrees

This is the angle which the resultant makes with the original line of motion (the 36.7 ft displacement vector).

Useful Web Links

Vector Addition || Vector Components || Vector Resolution

[ #56 | #57 | #58 | #59 | #60 | #61 | #62 | #63 | #64 | #65 | #66 | #67 | #68 | #69 | #70 | #71 | #72 ]

58. A hiker hikes 12.4 km, south. The hiker then makes a turn towards the southeast and finishes at the final destination. The overall displacement of the two-legged trip is 19.7 km at 309 degrees . Determine the magnitude and direction of the second leg of the trip.

Answer: 12.7 km, 347 degrees

Like the previous problem (and most other problems in physics), this problem is best approached using a diagram. The first displacement is due South and the resulting displacement (at 309 degrees) is somewhere in the fourth quadrant. (It is in the fourth quadrant because 309 degrees lies between 270 degrees or due South and 360 degrees or due East.) For communication sake, we will refer to the first displacement as A and the second displacement as B. Note that A + B = R. Since the magnitude and direction of the resultant is known, the x- and y-components can be determined using trigonometric functions. Since the angle of 309 degrees is expressed as a counterclockwise angle of rotation with due East, it can be used as the Theta in the equation.

Rx = R•cos(theta) = 19.7 km • cos(309 deg) = 12.398 km

Ry = R•sin(theta) = 19.7 km • sin(309 deg) = -15.310 km (the "-" means South)

Whatever the magnitude and direction of B is, it must add on to vector A in order to give a southward displacement of 15.310 km and a eastward displacement of 12.398 km. This could be expressed by mathematical equations as

The interval at which the average rate of change of f(x) is negative is from x = 0 to x = 2.5.

The average rate of change is a type of function that describes the average rate at which a quanity decreases or increases with respect to another quanity.

Generally, for a function with a negative average rate of change, the graph must face down and have a negative slope.

Based on the graph shown in the image attached below, we can deduce that the interval for which the average rate of change of f(x) is negative is from x = 0 to x = 2.5.

Read more on functions here: https://brainly.com/question/4246058

Answer:

4/3 πr^3

= 4/3π (6)^3

therefore the answer is C

Answer:

A ~ 34.63201

Step-by-step explanation:

Answer:

slope = 1/6

all steps in picture. :)

Slope:-

Answer:

the answer would be -110(c⁴d²e³)

Hope this helps!

Answer:

the answer is -3

Step-by-step explanation:

Answer:

solve by using pythagoras theorem then

square on both side

Answer:

The area is 78.5.

Step-by-step explanation:

The formula for the area of a circle is π r^2

In this case, r = 5.

Answer: 45.25

Step-by-step explanation: Add all the digits together and divide by 8

Mean is the average

Answer:

45.25

Step-by-step explanation:

The mean is the average. Add up all of the values (45+40+47+50+45+49+40+46). This is equal to 362. The amount of values in the set is 8. Divide 362 by 8 to get the mean of 45.25.

A survey conducted in 2008 found that 46% of full-time college students surveyed were current drinkers of alcohol.

Survey can be defined as data or information collected from a population so as to draw or reach a conclusion.

Based on the survey that was carried out by the researcher in the year 2008 for full time college student the survey shows that 46% of the student consume alcohol.

Therefore 46% of full time college student are drinkers of alcohol.

Learn more about survey here:https://brainly.com/question/968894

#SPJ6

Answer: 12.5%

Step-by-step explanation:

Increase is 54-48 = 6

6/48 × 100/ 1

600/48

Answer:

y = 5/4x + 6

Step-by-step explanation:

take the y coordinate in (-8,6) which is 6.

take the slope.

y = (put slope here)x + (put y coordinate here) !

thats it :) have a good day!

Answer:

126.96

Step-by-step explanation:

Answer:

B. 140

just do an elimination process to figure out 160 is more wider and 90 is just too small

so it was between 100 and 140

Answer:

-x² + 16x - 60

Step-by-step explanation:

Given expression:

Step 1. Insert brackets to isolate the "-" from the (x - 8)².

           ⇒ -(x - 8)² + 4

           ⇒ -[(x - 8)²] + 4

Step 2. Use the formula (a - b)² = a² - 2ab + b²

          ⇒ -[(x - 8)²] + 4

          ⇒ -[x² - 2(x)(8) + 8²] + 4

Step 3. Open the parenthesis

          ⇒ -[x² - 2(x)(8) + 8²] + 4

          ⇒ -x² + 2(x)(8) - 8² + 4

Step 4. Simplify as needed

          ⇒ -x² + 16(x) - 64 + 4

          ⇒ -x² + 16x - 60

Answer:

D

Step-by-step explanation:

When multiplying numbers with the same base but different exponents, add the exponents together.

Answer:

A 5(0.5)^x

B 3(2)^x

C 5(3)^x

D 8(1.25)^x

E 8(0.75)^x

F 10(0.5)^x

Step-by-step explanation:

A 5(0.5)^x

(-1,10) goes by 1/2

B 3(2)^x doubles

C 5(3)^x triples

D 8(1.25)^x * 1 1/4

E 8(0.75)^x by 3/4

F 10(0.5)^x x 1/2

Answer:

I'm not so sure but I know that you have to multiply all the numbers... so that should be 689.04

Step-by-step explanation:

I hope that helped

Answer: -7/9

Step-by-step explanation: Get the LCM of the denominator 3 and 9

Place both fractions using same LCM

You will have - 3/9 -4/9 = -7/9

Because they both have negative signs, you will add 3 and 4

Answer:

14,200 pounds.

1. Convert the mixed fraction into improper fraction:

To convert a mixed fraction into an improper fraction, we must multiply the whole number with the denominator and add the numerator to the product. The denominator of the improper fraction will remain the same as the denominator in the mixed fraction.

[tex]\implies 7 \dfrac{1}{10} = \dfrac{(7 \times 10) + 1}{10} = \dfrac{71}{10}[/tex]

2. Determine the number of pounds in 71/10 tons

It should be noted that:

Now, let's use the unitary method to determine the amount of pounds in 71/10 tons. Multiply both sides by 71/10 to do so.

[tex]\implies \text{1 ton = 2000 pounds}[/tex]

[tex]\implies \text{1 ton} \times \dfrac{71}{10} = 2000 \times \dfrac{71}{10}[/tex]

[tex]\implies \dfrac{71}{10}\text{ ton} = 200 \times 71[/tex]

Simplify as needed:

[tex]\implies \dfrac{71}{10}\text{ ton} = 14,200 \ \text{pounds}[/tex]

Answer:

13

Step-by-step explanation:

This angle is called a reflective angle so the angles equal eachother. So put them equal to eachother and solve.

91=7x

x= 91÷7

x=13

Answer:

Step-by-step explanation:

1 1/4-2/3= 1 3/12-8/12= 15/12-8/12=7/12

7/12 simplified to 7/12

Answer:

kayla sold 7/12. Kayla sold less than Ethan

Answer:

hope this helps and make me brainliest

Step-by-step explanation:

. You have that:

- The homeowner want the length of the swimming pool to be 4 feet longer than its width.

- He wants to surround it with a concrete walkway 3 feet wide.

- He can only afford 300 square feet of concrete for the walkway.

2. Therefore, the tota area is:

At=L2xW2

L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).

W2 is the width of the walkway (W1+3+3⇒W2=W1+6)

3. The area of the walkway is:

A2=At-A1

A2=300 ft²

4. Therefore, you have that the width of the swimming pool is:

A2=(W1+10)(W1+6)-(W1+4)(W1)

300=(W1²+6W1+10W1+60)-(W1²+4W1)

W1²+16W1+60-W1²-4W1-300=0

12W1-240=0

W1=240/12

W1=20 ft

5. And the length is:

L1=W1+4

L1=20+4

L1=24 ft

Answer:

[tex]\sqrt32} inches[/tex]

Step-by-step explanation:

The crossbar and two given lengths form a right triangle.  We know this because we see a right angle marked on the diagram in between the two given sides.