Find the amount of money that will be accumulated in a savings account if $7050 is invested at 5.0% for 25 years and the interest is compounded continuously. Round your answer to two decimal places.

Required area = 9× 5 + 6×3

= 45+18

= 63

Answer: Penny is closer

Step-by-step explanation:

1 mile is 1760 yards- so 2 miles is 3520 yards, so Penny is closer... which makes no sense since they live in the same building, but there you have it

Answer:

[tex](a)\ x + 4 = \±\sqrt9[/tex] ---- [tex]x =\{-7,- 1\}[/tex]

[tex](b)\ x - 4 = \±\sqrt9[/tex] ---- [tex]x = \{1,7\}[/tex]

[tex](c)\ x + 3 = \±\sqrt{16}[/tex] ----- [tex]x = \{-7,1\}[/tex]

[tex](d)\ x - 3 = \±\sqrt{16}[/tex] ---- [tex]x = \{-1,7\}[/tex]

Step-by-step explanation:

Given

The attached equations

Required

Match each with the solution

[tex](a)\ x + 4 = \±\sqrt9[/tex]

Take the square root of 9

[tex]x + 4 = \±3[/tex]

Solve for x

[tex]x =- 4 \±3[/tex]

Split

[tex]x =\{- 4 -3,- 4 +3\}[/tex]

[tex]x =\{-7,- 1\}[/tex]

[tex](b)\ x - 4 = \±\sqrt9[/tex]

Take the square root of 9

[tex]x - 4 = \±3[/tex]

Solve for x

[tex]x = 4 \±3[/tex]

Split

[tex]x = \{4 -3,4+3\}[/tex]

[tex]x = \{1,7\}[/tex]

[tex](c)\ x + 3 = \±\sqrt{16}[/tex]

Take the square root of 16

[tex]x + 3 = \±4[/tex]

Solve for x

[tex]x =- 3 \±4[/tex]

Split

[tex]x = \{-3-4,-3+4\}[/tex]

[tex]x = \{-7,1\}[/tex]

[tex](d)\ x - 3 = \±\sqrt{16}[/tex]

Take the square root of 16

[tex]x - 3 = \±4[/tex]

Solve for x

[tex]x =3 \±4[/tex]

Split

[tex]x = \{3-4,3+4\}[/tex]

[tex]x = \{-1,7\}[/tex]

Answer:

x represents nickels = 2

3x represents number of quarters = 6

Step-by-step explanation:

x represents nickels

3x represents number of quarters

We'll multiply each of those times the value of the coin they represent, and make that equal to the total amount of money Mark has to get the value of x

x(0.05) + 3x(0.25) = 1.60

0.05x + 0.75x = 1.60

0.80x = 1.60

x = 2 = number of nickels

So 3x = 6 = number of quarters

Checking the math:

2(0.05) + 6(0.25)= 0.10 + 1.50 = 1.60

Answer:

8

Step-by-step explanation:

Answer:

Part A: Mean = 2

Part B: 6

Step-by-step explanation:

Part A: Add all the data piece's and divide by total value

Part B: Subtract the mean from each piece of data in the dat set and find the absolute value of each answer. 1+1+0+0+1+1+1+1 = 6

The mean of the data of the number of pets owned by eight classmates is 2 and the mean absolute deviation for the data is 0.75.

The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.

The number of pets owned by eight classmates is shown below:

[tex]1, 3, 2, 2, 1, 3, 3, 1[/tex]

The total number of pets are 8. The mean is the ratio of sum of all the values to the total values. Thus,

[tex]m=\dfrac{1+ 3+ 2+ 2+1+3+3+1}{8}\\m=\dfrac{16}{8}\\m=2[/tex]

The mean absolute deviation (MAD), can be calculate by adding difference of each data from mean and then divided by number of terms.

[tex]\text{MAD}=\dfrac{(1-2)+ (3-2)+ (2-2)+ (2-2)+(1-2)+(3-2)+(3-2)+(1-2)}{8}\\\text{MAD}=\dfrac{6}{8}\\\text{MAD}=0.75[/tex]

Thus, the mean of the data of the number of pets owned by eight classmates is 2 and the mean absolute deviation for the data is 0.75.

Learn more about the mean here;

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Answer:

322.28

A

Step-by-step explanation:

Area of the rectangle

L = 30

W = 21

Area = 30 * 21

Area = 630

Area of the circles

Radius = 7 m

Area = pi r^2

Area = 3.14 * 7^2

Area = 153.86 m^2

Area of both circles = 307.72

Area of the Shaded Region

Area of shaded region = area of the rectangle - area of 2 circles.

Area of Shaded Region = 630 - 307.72

Area of Shaded Region = 322.28

Answer:

4m + 14

Step-by-step explanation:

m = # movies Mia has

2m = # movies Eli has

14 + m = # movies Doug has

Total:  m + 2m + 14 + m = 4m + 14

A and D

A= 3+1=4

D=4*3=12

Answer:

You know you forgot to put a pictures I would recommend to put a picture to get desired answers!

Step-by-step explanation:

Answer:7,10,13,16

:))))

Answer:

1 out of 8 chance it will be listed exactly

Answer:

2:5

Step-by-step explanation:

Answer: The answer is A.

Step-by-step explanation:

The formula for the area of circles:

A = πr^2

Plug in the radius

A = π8^2

A = π64

A = 201.06192983/ 201 (rounded)

Answer:

A

Step-by-step explanation:

The formula for area of a circle is πr^2. the radius is 7 so pie time 7 times 2 square equal ≈201

9514 1404 393

Answer:

  (a) 3%

Step-by-step explanation:

Nathan's actual mileage was ...

  (2882 mi)/(131 gal) = 22.0 mi/gal

The error can be computed from ...

  error % = (predicted/actual -1) × 100% = (22.6/22 -1) × 100% ≈ 2.73%

Nathan's prediction was high by about 3%.

Answer:

1/35

Step-by-step explanation:

P= 6 *13! / 15! = 1/35

The probability of two east high school swimmers to come first and second is 1/35.

How to calculate probability?

First, let us calculate the number of desired outcomes:

The first position has 3 possibilities and 2nd position has 2 possibilities and 3rd position has 13 possibilities (leaving people of 1st and 2nd position).

Total=2.3.13

Now, calculate the total outcome:

1st position has 15 possibilities, 2nd has 14 and 3rd has 13.

Total=15.14.13

Probability=desired outcome/total outcome

                 =2.3.13/15.14.13

                 =1/35

Therefore, probability of the given situation is 1/35.

To know more about probability refer:

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Answer:

2 are left over

since 7 goes into 30 4 times which makes 28 books. Meaning 2 are going to be left over

Answer:

Oh Stop!!!! This is sooooooooooooo easy! If you would just pay attention in school and not spend all your time trying to buy the new ipad pro maybe you would not have to go to Branily to get a simple answer! Do you think your teacher would like you cheating like this???? I dont think so. So get of of Branily and start studying!!!!  

Step-by-step explanation:

Answer:

The area of the printed picture is 172.5 square inches.

Step-by-step explanation:

Since a picture is to be printed onto a sheet of paper with dimensions of 81/2 x 11 inches, and a margin of 1 1/2 inches is to be left on all sides of the picture, to determine what is the area of the printed picture the following calculation must be carried out, knowing that the area of a rectangle is equal to the base multiplied by the height:

81/2 = 40.5

1/2 = 0.5

40.5 - 1.5 x 4 = 34.5

11 - 1.5 x 4 = 5

34.5 x 5 = 172.5

Therefore, the area of the printed picture is 172.5 square inches.

Answer:

3.49

Step-by-step explanation:

subtract 2.01 from 5.5

Answer:

ITS X=14 GURL TRUST

Step-by-step explanation:

Answer:

Im pretty sure it's C U think it is

Answer:

hii

have a good day for you!

Answer:

cosβ

Step-by-step explanation:

cot(β+π)sinβ

cot(x)=cos(x)/sin(x), so we can rewrite our expression as:

(cos(β+π)/sin(β+π)) * sinβ

sin(a+b)=sin(a)cos(b)+cos(a)sin(b), so we can rewrite our expression as:

(cos(β+π)/(sinβcosπ+cosβsinπ)) * sin(β)

cos(a+b)=cos(a)cos(b)-sin(a)sin(b), so we can rewrite our expression as:

(cosβcosπ-sinβsinπ)/(sinβcosπ+cosβsinπ)) * sin(β)

cosπ=-1 and sinπ=0, so we can rewrite our expression as:

(-cosβ)/(-sinβ) * sin(β)

(-cosβ)/(-sinβ) * sin(β)

=(cosβ/sinβ)(sinβ)

=cosβ

Answer:

1 outta of 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 out of 4

there are four letters and the probability he will chose one is one out of the four letters.