Save
Submit
Suppose you deposit $5,000 in a savings account where the interest earned is compounded continuously
at a rate of 12.5%. How many years will it take the balance in the account to triple (round your answer to
the nearest year)?
0 9 years
O 8 years

Hey there! I'm happy to help!

To find the volume of a cone, we multiply the base by the height and then divide by three.

First, we find the area of the base, which is a circle. To find a circle, you square the radius and then multiply by pi (or 3.14 in our case).

Radius is half of the diameter.

3/2=1.5

We square this.

1.5²=2.25

We multiply by 3.14

2.25×3.14=7.065

Now, we multiply this base area by the height.

7.065×7=49.455

We divide by 3.

49.455/3=16.485

Therefore, if we round this, our answer is 16.49 in³.

Now you can find the volume of a cone! Have a wonderful day! :D

Answer:

16.49

Step-by-step explanation:

Answer:

[tex]\bold {3.25+5.50S \le 30}[/tex] is the correct answer.

Step-by-step explanation:

Given that

Chocolate milk already ordered for the cost of $3.25.

Maximum bill that Benjamin wants = $30

Cost of a stack pancake = $5.50

Number of stacks of pancakes bought = S

It is given that all the money available is to be spent on 1 chocolate milk and S number of stacks of pancakes.

Cost of 1 pancake = $5.50

Cost of S number of stacks of  pancakes = [tex]\text{Number of stacks of pancakes} \times \text{Cost of each pancake}[/tex]

i.e. [tex]S \times 5.50 = 5.50S[/tex]

So, total money spent = $3.25+5.50S

Now, this money should be lesser than or equal to $30 because maximum bill that Benjamin wants is $30.

So, the inequality can be written as:

[tex]\bold{3.25+5.50S \le 30}[/tex]

Answer:

1 / 3^1

Step-by-step explanation:

3^-1 • 3^0

When multiplying exponents with the same base, we add the exponents

3^ (-1+0)

3 ^-1

We know that a^ - b = 1/a^b

3 ^ -1 = 1/3^1

Answer: 3 x minus 3 + 4 = 2 minus x minus 3

              3 x + 1 = negative x minus 1

Step-by-step explanation:

             A and D. Edge 2020

The required equation that Samuel used is 3x -3 + 4 =2- x -3. option A is correct.

Samuel is solving the equation 3 (x minus 1) + 4 = 2 minus (x + 3). Which equivalent equations might Samuel use, is to be determined.

The equation is the relationship between variables and represented as[tex]y = ax +b[/tex]  is an example of a polynomial equation.

Given equation is [tex]3(x-1) +4 =2 -(x+3)[/tex]
Simplification of the above equation,
opening the parenthesis on both sides
step 1⇒ 3x - 3 + 4 = 2 - x - 3
step 2⇒ 3x + 1 = -x - 1
Transposition of -x to the left side and +1 to the right side
step 4 ⇒ 3x +x = -1 -1
                  4x = -2
Transposition of 4 to the denominator of -2.
step 5⇒ x = -2/4
               x = -1/2

Thus , Step 1 3x -3 + 4 =2- x -3 is the equivalent equation used by the samuel.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ5

Complete question :

The table shows the total number of student applications to universities in a particular state over a period of 12 semesters. States base their decisions on data like this. Suppose they decide that if fewer than 200,000 students apply during 6 or more semesters, the state will make a special effort to promote university education. Using this data, what is the population proportion of semesters for which the number of student applications is less than 200,000?

Semester Student Applications (in thousands)

1 106

2 137

3 285

4 120

5 202

6 195

7 327

8 139

9 307

10 318

11 212

12 217

Answer:

42%

Step-by-step explanation:

Given the above data in thousand :

Proportion of students

1 - - - - 106, 000

2 - - - -137, 000

3 - - - - 285, 000

4 - - - 120, 000

5 - - - 202, 000

6 - - - 195, 000

7 - - - 327, 000

8 - - - 139, 000

9 - - - 307, 000

10 - - - 318, 000

11 - - -212, 000

12 - - - 217, 000

Therefore, proportion of semesters with student application below 200,000

= (Number of semesters below 200,000 / total number of semesters)

Semesters below 200,000 :

(106000, 137000, 120000, 195000, 139000) = 5

(5 / 12) = 0.416666

= 0.42

In terms of percentage :

0.42 * 100 = 42%

Answer:

The cost C, of hosting the banquet with the services of Caterer One is;

C = $ 45·n

The cost C, of hosting the banquet with the services of Caterer Two is;

C = $250 +  $ 28·n

The cost C, of hosting the banquet with the services of Caterer Three is;

C = $500 +  $ 20·n

Step-by-step explanation:

The information includes;

The amount available to the group for the banquet = $120

The number of people attending the banquet = n

The cost incurred in hosting the banquet = C

The major costs in hosting the banquet are hall rental and caterer

The cost per caterer are as follows;

Caterer One

The cost per person including the hall = $45

Therefore, the cost incurred, C, in hosting the banquet using caterer one is equal;

C = n × $45 = $ 45·n

Caterer Two

The hall rental = $250

The cost per person = $28

Therefore, the cost incurred, C, in hosting the banquet using caterer two is equal;

C = $250 +  n × $28 = $250 +  $ 28·n

Caterer Three

The hall rental = $500

The cost per person = $20

Therefore, the cost incurred, C, in hosting the banquet using caterer three is equal;

C = $500 +  n × $20 = $500 +  $ 20·n.

Answer:

The cost C, of hosting the banquet with the services of Caterer One is;

C = $ 45·n

The cost C, of hosting the banquet with the services of Caterer Two is;

C = $250 +  $ 28·n

The cost C, of hosting the banquet with the services of Caterer Three is;

C = $500 +  $ 20·n

Step-by-step explanation:

The information includes;

The amount available to the group for the banquet = $120

The number of people attending the banquet = n

The cost incurred in hosting the banquet = C

The major costs in hosting the banquet are hall rental and caterer

The cost per caterer are as follows;

Caterer One

The cost per person including the hall = $45

Therefore, the cost incurred, C, in hosting the banquet using caterer one is equal;

C = n × $45 = $ 45·n

Caterer Two

The hall rental = $250

The cost per person = $28

Therefore, the cost incurred, C, in hosting the banquet using caterer two is equal;

C = $250 +  n × $28 = $250 +  $ 28·n

Caterer Three

The hall rental = $500

The cost per person = $20

Therefore, the cost incurred, C, in hosting the banquet using caterer three is equal;

C = $500 +  n × $20 = $500 +  $ 20·n.

Answer:

125 degrees

Step-by-step explanation:

Using a theorem, you know that angle a is half of 110. Also, in all quadrilaterals   inscribed in a circle, the opposite angles are supplimentary. So then, knowing that angle a is 55 degrees, you can come to the conclusion that b is 125 degrees.

Hope this is helpful! :)

Answer:

Option (C).

Step-by-step explanation:

To check a graph whether it's a function or not we use a vertical line test. In this test first we draw a vertical line on the given graph. If this line intersects the graph at more than one point, the graph is not a function.

In the given parabola, opening upwards passes the vertical line test.

Therefore, this graph shows a function.

Option (C) will be the answer.

Option  (c) Yes; the graph passes the vertical line test. And

(d) Yes; there are no y-values that have more than one x-value are correct options. Hence, a given graph is a function.

This is a graph of [tex]y = x^2[/tex]

Which is a graph of parabola.

To determine the given graph is a function or not, we do a vertical line test.

The vertical line test says that if a vertical line intersects a graph more than once, then that graph is not a function. And in this case, y-values have more than one x-values.

Let’s draw a vertical line in the given graph  (attached below)

We see that the vertical line touches the graph only at once. That’s why it is a function, and so there are no y-values that have more than one x-value.

Hence, the given graph is a function and option (3) and (4) are correct options.

Learn more about graphs here:

https://brainly.com/question/27757761

#SPJ6

I hope this helps you

Answer:

D

Step-by-step explanation:

the inscribed angle intersects an arc that twice the measure of the arc interested by the central angle. The inscribed angle's arc measures 144° and the central angle's arc measures 72°

>central angle and the arc the intersected arc are equal i.e they are both 72°

>the inscribed angle is half of the measure of the intersected arc i.e since the inscribed angle is 72° the arc interested is 144°

Answer:

45

Step-by-step explanation:

10/4x3=7.5

8/4x3=6

6x7.5=45yards

Answer:

(3, 13)

Step-by-step explanation:

The curve decreases from x = 3 to x = 13.

Answer: (3, 13)

Answer: 40/41

Step-by-step explanation:

The cosine can be represented as adjacent/hypotenuse.  Thus, the cosine of C is 40/41

Answer:

Solution,

BC = 40

AC = 41

Now,

[tex]cos \: theta \: = \frac{adjacent}{hypotenuse} [/tex]

[tex]cos \: c \: = \frac{bc}{ac} [/tex]

Plugging the values

[tex]cos \: c \: = \frac{40}{41} [/tex]

Hope this helps..

Good luck on your assignment..

Answer:

Rhombus.

Step-by-step explanation:

A rhombus is a  quadrilateral, meaning that it has four lateral sides. A Rhombus is a 2-dimensional shape, and has two lines of symmetry.  A Rhombus has a rotational symmetry of order two, and the opposite sides are parallel. Also, the opposite angles in Rhombus are equal. Th diagonals of a Rhombus bisect each other at a right angle.

Other quadrilateral shapes includes the Rectangle, Parallelogram, and the Kite.

Answer:

[tex]\boxed{d = 54 yards}[/tex]

Step-by-step explanation:

Formula for diagonal is as follows:

[tex]d = \sqrt{l^2+w^2}[/tex]

Where d is diagonal, l is length (50 yards) and w is width (20 yards)

[tex]d = \sqrt{(50)^2+(20)^2}[/tex]

[tex]d = \sqrt{2500+400}[/tex]

[tex]d = \sqrt{2900}[/tex]

d = 53.85 yards

d ≈ 54 yards

Answer:

[tex]\boxed{\mathrm{54 \: yards}}[/tex]

Step-by-step explanation:

The shape of the pool is a rectangle.

The diagonal of a rectangle can be found through a formula by using Pythagorean theorem.

[tex]d^2=l^2 +w^2[/tex]

[tex]d=diagonal\\l=length\\w=width[/tex]

The length is given 50 yards, and width is given 20 yards. Find the diagonal.

[tex]d^2 =50^2 +20^2[/tex]

[tex]d^2 =2500+400[/tex]

[tex]d^2 =2900[/tex]

[tex]d=\sqrt{2900}[/tex]

[tex]d \approx 53.851648[/tex]

[tex]d \approx 54[/tex]

Answer:

a) A quadrilateral with 4 right angles

Answer:

I think the answer is b

I'm sorry if I'm not correct

Answer:

the numbers of cars pf various colors in a parking lot

Answer:  The speed of a car as it changes during a time.

B is the best example of continuous data.

Step-by-step explanation:  The contrast between the definitions of continuous data  vs. discreet data is that discrete data is counted, continuous data is measured.

A speedometer measures speed continuously, time is measured continuously.

Time can, however, be reported as discreet measurements in situations where that kind of data is needed. (not in this question)

A Number of cars is discreet.

Data from different workers or different days is not continuous.

Answer:

340 liters

Step-by-step explanation:

357/1.05=340

Answer:

The probability is 0.0053861

Step-by-step explanation:

To answer this question, the best thing to do is to put the wordings in a mathematical expression.

Thus what we have is;

P(z < 2.55)

Now since we have the mathematical expression, the next thing to do here is to use the standard normal distribution table.

From the standard normal distribution table, we can get the probability value that equals the given z-score value

Mathematically this is;

P(z<2.55) = 0.0053861

Answer:

x= 24, y= 33°

Step-by-step explanation:

MJ is part of the diameter of the circle and there is right angle between the diameter and HK

As the diameter and HK are perpendicular, HM=MK and mHJ= mJK

So,

and

Complete question :

WNAE, an all-news AM station, finds that the distribution of the lengths of time listeners are tuned to the station follows the normal distribution. The mean of the distribution is 15.0 minutes and the standard deviation is 3.5 minutes. What is the probability that a particular listener will tune in:

a. More than 20 minutes? b. For 20 minutes or less

Answer: 0.0764 ; 0.9236

Step-by-step explanation:

Mean (m) = 15 minutes

Standard deviation (sd) = 3.5

Z - score :

Z = (x - m) / sd

A) more than 20 minutes

P(X > 20) ; x = 20

Z > (20 - 15) / 3.5 = 5/3.5 = 1.429

P(z > 1.429) = 0.5 - P(0<z<1.43)

Using the z-table: 1.43 = 0.4236

0.5 - 0.4236 = 0.0764

2) 20 minutes or less :

P(X <= 20) ; x = 20

Z < (20 - 15) / 3.5 = 5/3.5 = 1.429

P(z < 1.429) = 0.5 + P(0<z<1.43)

Using the z-table: 1.43 = 0.4236

0.5 + 0.4236 = 0.9236

Answer:

120 mg

Step-by-step explanation:

20% of  100 is 20 so that would be 20mg  plus the 100mg they just took

100+20=120mg

i hope this helps you!

Answer:

I think

x y

2

3

4

6

6

9

Step-by-step explanation:

but i don't see any table

Answer:

7625597484987 ways

Step-by-step explanation:

Given the following :

Number of ball(k) = 9

Number of bins (n) = 27

How many different ways are there to distribute these 9 balls among the 27 bins.

Here, the balls have different labels (1 to 9)

The bins are also distinguishable, therefore each ball can go into any of the 27 distinct bins.

Therefore, the different ways are there to distribute these 9 balls among the 27 bins equals = n^k

27^9 = 7625597484987 ways.

Answer:

5[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The diagonal divides the square into 2 right triangles.

let s be the side of the square with the diagonal being the hypotenuse.

Applying Pythagoras' identity to one right triangle, gives

s² + s² = 10² , that is

2s² = 100 ( divide both sides by 2 )

s² = 50 ( take the square root of both sides )

s = [tex]\sqrt{50}[/tex] = [tex]\sqrt{25(2)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex] = 5[tex]\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

 This problem brothers on selection without repetition, so we will be using permutation to solve this problem.

Given

n= 12 ,which is  the number we are choosing from

r= 3, which is the number of committee(president, vice-president, and​ secretary-treasurer.)

[tex]= \frac{n!}{(n-r)!}[/tex]

Substituting we have

[tex]= \frac{12!}{(12-3)!}\\\\ = \frac{12!}{(9)!}\\\\= \frac{12*11*10*9!}{9!}[/tex]

[tex]= 12*11*10= 1320[/tex]

Answer:

128 Apples

Step-by-step explanation:

Answer:

128 apples

Elaborated:

Your first multiple 16 and 7 which is 112. Your than multiply 2 and 8 since the remaining boxes are half full which is 16. 112+16 is 128. Hope this helps!

Answer:

T = - 3.2e + 80

Step-by-step explanation:

Given the following :

e = elevation in thousands of feets

T = temperature (°F)

e1 = 5 ; e2 = 10 (in thousands of feet)

T1 = 64° ; T2 = 48°

y = mx + c ; T = me + c

y = ; m = slope, c = intercept

64 = m5 + c - - - - (1)

48 = m10 + c - - - - (2)

From (1)

c = 64 - m5

Substitute c = 64 - m5 into (2)

48 = m10 + c - - - - (2)

48 = m10 + 64 - m5

48 - 64 = 10m - 5m

-16 = 5m

m = - 16 / 5

m = - 3.2

Substitute the value of m into c = 64 - m5

c = 64 - 5(-3.2)

c = 64 - (-16)

c = 64 + 16

c = 80

Inserting our c and m values into T = me + c

T = - 3.2e + 80

Where e is in thousands of feet

T is in °F