write an integer to represent the situation. A deposit of $245

Answer:

percentage = 78.54%

Step-by-step explanation:

The area of a square of side length x is:

[tex]A_s=x^2[/tex]

The area of a circle of radius r is:

[tex]A_c=\pi r^2[/tex]

The goat is tied to a pole at the center of a square of a side length of x=20 cm.

The area of the square is:

[tex]A_s=20^2[/tex]

[tex]A_s=400~m^2[/tex]

The rope is 10 m long. The goat is able to graze an area of:

[tex]A_c=\pi 10^2[/tex]

[tex]A_c=100\pi~m^2[/tex]

(i)

Since the diameter of the circle (20 m) is equal to the length of the square, the area of the circle is contained in the square and the area of the square not grazed by the goat is:

[tex]A = A_s-A_c=400~m^2-100\pi~m^2[/tex]

[tex]A=100(4-\pi)~m^2[/tex]

Calculating:

[tex]A = 85.84~m^2[/tex]

(ii)

The percentage can be calculated as:

[tex]\displaystyle \frac{A_c}{A_s}*100=\frac{100\pi}{400}*100=25\pi[/tex]

Calculating:

percentage = 78.54%

Answer:

Step-by-step explanation:

From the first question:

We are to find PV of the annuity.

Using the formula:

Present value of Annuity  = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)

Where , Annuity Amount = $4,000            

n = No. of periods = 7 years × 4 quarters per year = 28 periods but since the first payment is at beginning of the quarter, Then, n = 27 when considered for PVAF

r  = 6.2% / 4 quarters = 1.55%,

PVAF(n0,r) when first payment is at beginning of n i.e. n0 = 1 + { [1-(1+r)^ -n0 ]/r }

= 1 + { [1-(1+0.0155)^ {-27}]/0.0155 }

= 1 + [ (1 - 0.66015 ) ] / 0.0155]

= 1 + 21.926

= 22.926

PVAF(28,1.55%) = 22.926

Thus , Present Value of Annuity = $4,000 × 22.926  = $91704.00

2. Present value of Annuity due = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)

Present Value of Annuity  = $90,000

n = No. of periods = 7.5 years × 4 quarters per year = 30 periods

r  = 5.4% / 4 quarters = 1.35%,

PVAF(n,r) = [1-(1+r)^-n]/r

PVAF(n,r) = [1-(1+0.0135)^ -30]/0.0135

PVAF(30,1.35%) = (1 - 0.6688)/0.0135

PVAF(30,1.35%) = 0.3312/0.0135

PVAF(30,1.35%) = 24.53

Hence ;

$90,000 = Annuity Amount × 24.53

Annuity amount = $90,000/24.53 = $3,668.48

Answer:

x = 85/60 or 17/12

Step-by-step explanation:

4/5 - 3/10 = x + 11/12

=> 8/10 - 3/10 = x + 11/12

=> 5/10 = x - 11/12

=> x - 11/12 = 5/10

=> x = 5/10 + 11/12

=> x = 5 * 6 / 10 * 6 + 11 * 5 / 12 * 5

=> x = 30 / 60 + 55/60

=> x= 85/60

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Answer:

maybe -5

Step-by-step explanation:

4/5-3/10=x+11/2

1/2-11/2=x

-10=2x

x=-5

Answer:

31°

Step-by-step explanation:

If ∠dab=55° and ∠cab=24° and ∠cab+∠dac=∠dab then all you need to do is subtract 55° and 24° to get 31°

86÷3 =

*The divisor is 3 and the dividend is 86

First step: How many 3's can fit into 8? (8÷3)

8÷3 = 2 r 2

Second step: add a 2 above the eight in the tens place of the answer.

86÷3 = 2_

Third step: multiply 3 x 2; 3 x 2 = 6;

In this step, we put a 6 underneath the 8.

Fourth step: Subtract.

In this step, we subtract 8-6 (=2)

Fifth step: bring down the next number. In this case, it is 6.

In this step, we now have the number 26.

Sixth step: How many 3's can fit into 26? (26÷3)

26÷3 = 8 r 2

Last step: Now put an 8 in the one's place and now we have a remaining 2. That is called the remainder. We put the remainder and represent it as "r". We put r2.

I hope this was easy for you to understand!

Answer:

Step-by-step explanation:

  2  8 R2

3[tex]\sqrt{86[/tex]

-  6  

-------------

    26

-    24

-----------

     0  2

Answer:

10

Step-by-step explanation:

For an odd number of values, the median is the middle value when you write the values in ascending order.

5, 7, 9, 10, 16, 17, 20

The median is 10.

Answer:

Negative 1/8 is the answer

Answer:

0.7

Step-by-step explanation:

Answer:

0.35

Step-by-step explanation:

Answer:

1/45

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

One pound (lb) is equal to 16 (oz). So, if you are trying to find how many ounces are in one pound, you have to divide the number of pounds by the 16,   the amount of ounces in one pound.

Answer: It should be 1 in. : 150 mi.

Answer:150

Step-by-step explanation:

a year later

Answers to the entire test:

Step-by-step explanation:

1. C. a<b

2.A. x >_0

3. A. The product between 3 and a number is greater than 9

4. B. The difference of 16 and the product of 5 and a number is no less than 1

5.B. 6(x-4)<_20

Answer:

Alex and his two friends had to pay $ 7.25 for a ticket.

Step-by-step explanation:

simply divide $21.75 by 3

Answer:

i believe its $7.25

Step-by-step explanation:

$21.75 divided by 3 = $7.23

Answer:

Store B

Step-by-step explanation:

If you divide 5 by 2, you get the unit price for Store A which is $2.50.

If you divide 8 by 4, you get the unit price for store B which is $2.00

Store B has a lower unit price than store A therefore Store B is offering the lower price per pineapple.

Answer:

Kite

Step-by-step explanation:

Def of kite has no parallel sides

Answer:

Step-by-step explanation:

Each of them do not have any parallel lines or sides

Answer:

What is the cost/ weight of the apples?

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

16+9

Answer:

The correct should be 25.

Step-by-step explanation:

If this is incorrect let me know and I will correct it.

Answer:

No:

Step-by-step explanation:

No, there is no way to further simplify this equation, unless there is a value for x.

Answer:

No. x-2 can't.

Step-by-step explanation:

Its the same reason why you can't simplify 1+1. You could add them together, but in a case like this, where one number is unknown you can't. The number is already to its simplifiest form.

Answer and Step-by-step explanation: The critical value for a desired confidence level is the distance where you must go above and below the center of distribution to obtain an area of the desired level.

Each sample has a different degree of freedom and critical value.

To determine critical value:

1) Calculate degree of freedom: df = n - 1

2) Subtract the level per 100%;

3) Divide the result by 2 tails;

4) Use calculator or table to find the critical value t*;

For n = 5 Level = 90%:

df = 4

t = [tex]\frac{1-0.9}{2}[/tex] = 0.05

Using t-table:

t* = 2.132

n = 13 Level = 95%:

df = 12

t = [tex]\frac{1-0.95}{2}[/tex] = 0.025

Then:

t* = 2.160

n = 22 Level = 98%

df = 21

t = [tex]\frac{1-0.98}{2}[/tex] = 0.01

t* = 2.819

n = 15 Level = 99%

df = 14

t = [tex]\frac{1-0.99}{2}[/tex] = 0.005

t* = 2.977

The critical values and degree of freedom are:

sample size          level           df              critical value

     5                      90%           4                   2.132

   13                       95%            12                 2.160

   22                      98%            21                 2.819

   15                       99%            14                 2.977

Answer:

A relationship or expression involving one or more variables

Step-by-step explanation:

Answer:

3.568 < 3.577

Step-by-step explanation:

3.568 < 3.577

So 3.577 is greater than 3.568

Answer:

-4w^3

Step-by-step explanation:

Answer: 80 votes

Step-by-step explanation: Solve the formula for l. A) l ... 01/18/2017. Mathematics · High School. answered. The surface area of a cone is given by the formula S = πl + πr2. ... all of the 2's are to the power of R the 5/3.14's are fractions. 2 ... Incognit-oh-no… ... and 219 more users found this answer helpful. Thanks 140. 4.7. (80 votes).

The surface area of a cone is given by the formula S = πl + [tex]\pi r^2[/tex], the formula for I will be l = S/3.14 – [tex]r^2[/tex]. The correct option is C.

The surface area of a three-dimensional shape is the amount of space that surrounds it.

Starting with the given formula:

[tex]S = \pi l + \pi r^2[/tex]

We want to solve for l.

First, we can isolate the term with l on one side of the equation by subtracting [tex]\pi r^2[/tex] from both sides:

[tex]S - \pi r^2 = \pi l[/tex]

Then we can divide both sides by π to isolate l:

[tex]l = (S - \pi r^2) / \pi[/tex]

Therefore, the solution is:

[tex]l = (\frac{S}{\pi} - r^2)[/tex]

Thus, the correct option is C.

For more details regarding surface area, visit:

https://brainly.com/question/29298005

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Your question seems incomplete, the probable complete question is:

The surface area of a cone is given by the formula S = πl + πr2. Solve the formula for l.

A) l = S – r2

B) l = S + r2

C) l = 5/3.14 – r2

D) l = 5/3.14 + r2

all of the 2's are to the power of R

the 5/3.14's are fractions

Answer:

good for her / him but uh whats the question

Answer:

6 years

Step-by-step explanation:

i used a proportional approach

2 (the double)/ 4 years (the time it takes to double)

then compared it to

3(the triple)/ x amount of years

(like this)

[tex]\frac{2}{4} \ \frac{3}{x}[/tex]

then cross multipled

4 times 3= 12

then divided the 12 by the remaining 2 above the 4

Answer:

0.4

Step-by-step explanation:

→ Convert fraction to a denominator of 100

10 / 25 ⇔ 40 / 100

Answer:

0.4

Step-by-step explanation:

An easy way to do this is to get the fraction over 100

So, multiply the fraction by 4 (because 25*4=100)

then you get 40/100 which is 0.4 in decimal form