Sophia invests $6,100 in a retirement account with a fixed annual interest rate of 5% compounded monthly. What will the account balance be after 15 years?

Answer:

6 is the correct answer.

Step-by-step explanation:

This is Just in Case you want explanation

Volume first— 288 times Pi. Then substitute with the formula!

Using the formula

V=4

3πr3

Solving for radius.

4π)⅓ = (3·903.32

4·π)⅓= 5.99677

I hope this helped!

Answer:

From greatest to least: AB, AC, BC

Answer:

83438143e + 21

Step-by-step explanation:

83438143e + 21

Answer:

it's the second one sooo "B"

Step-by-step explanation:

Answer:

x depends on natural number.

Answer:

C={1,4,9,16} C is a set of x, where x depends on .

Step-by-step explanation:

x depends on natural number of.

hope it is helpful to you

Answer:

6. (a) No Mr Lee did not order the correct amount of milk.

(b)Mr Lee should have ordered for 48 pints of milk.

7. 156 pints sized jars

8. Eilleen's gallon can hold more cups that James's 3 quart water bottle.It can hold 4 more cups

Step-by-step explanation:

6. There are 96 fourth graders and each is supposed to get 1 cup of milk.

Hence, the number of cups of milk for all the fourth graders at the party is

96 × 1 cup of milk = 96 cups of milk.

Mr. Lee ordered 45 pints of milk for the fourth - grade party.

We have the conversion rate:

1 cup = 0.5 pints

Hence

1 cup = 0.5 pints

96 cups of milk = x

Cross Multiply

1 cup × x = 96 cups of milk × 0.5 pints

x = 96 cups of milk × 0.5 pints/1 cup

x = 48 cups of milk

a. Did Mr. Lee order the correct amount of milk?

No Mr Lee did not order the correct amount of milk.

b. if so, explain why you think he is correct. if not, how many pints of milk should he have ordered?

Mr Lee should have ordered for 48 pints of milk.

7. Daphne and Jordan made jam to sell at the market. Their jam is sold in pint - size jars.

They made 137 quarts but only sold 59 quarts.

The amount of quarts left is calculated as: 137 quarts - 59 quarts

= 78 quarts

We have conversion rate of

1 quart = 2 pints

The number of pint - size jars that are left is calculated as:

1 quart = 2 pints

78 quarts = x

Cross Multiply

1 quart × x = 78 quarts × 2 pints

x = 78 quarts × 2 pints/1 quart

x = 156 pints

The number of pint - size jars that are left 156 pints

8.

For James

James had a 3-quart water bottle.

1 quart = 4 cups

3 quarts = x

Cross Multiply

1 quart × x = 3 quarts × 4 cups

x = 3 quarts × 4 cups/1 quart

x = 12 cups

Hence, James 3 quart water bottle can hold 12 cups

For Eileen

Eileen bought 1-gallon jug.

1 gallon = 16 cups

Hence, Eileen's gallon can hold 16 cups

The difference between both containers is:

16 cups - 12 cups = 4 cups

Therefore, Eileen's gallon can hold more cups that James's 3 quart water bottle

It can hold 4 more cups

Answer:

i cant see what u attached please reupload

Step-by-step explanation:

D. 45,000 ft,²

As per the scale given,

1 in. = 15 ft.

10 in. = 10×15 ft. = 150 ft.

20 in. = 20×15 ft. = 300 ft.

So, area = 150 ft. × 300 ft. = 45,000 ft.²

Answer:

B would be the best answer

Step-by-step explanation:

:The Answer is B. A Web diagram shows what connects these different types of doctors.Also B makes the most sience to me.

Answer:

Step-by-step explanation:

OPTION 3

Answer:

2y + 18

Step-by-step explanation:

8 + 2(y + 5)

8 + 2y + 10

2y + 18

Answer:

11.75

Step-by-step explanation: Good Luck :)

Answer:

hi! I don’t know what any of this means but I hope you have an amazing day and I hope god/allah/etc. blesses you :)

sorry I couldn’t answer

Step-by-step explanation:

Answer:

8.1, 41/5, 8.2 repeating, √76

Step-by-step explanation:

Answer:

8.1 < 41/5 < 8.2 < √76

Step-by-step explanation:

41/5 = 8 1/5 = 8.20

   _

8.2 = 8.222 ...

√76 ≈ 8.7

8.1                                                                  _

8.1 < 8.20 < 8.222 ... < 8.7 = 8.1 < 41/5 < 8.2 < √76

Answer:

88 in

Step-by-step explanation:

find the area of each shape individually

triangles - 3x8=24 and you don't have to divide by 2 because there's 2 triangles.

rectangles - 8x4x2=64 you multiply by 2 because there are 2 rectangles.

then you add the rectangles and triangles together.

Answer:

88 (is the total area since I did not really get what you were asking)

Step-by-step explanation:

The question is basically asking to find the rectangle and triangle and then multiply both by 2.

Find the rectangle:

4 x 8 = 32

Find the triangle:

7 - 4 = 3

3 x 8/2 = 12

Multiply by 2:

32 x 2 = 64

12 x 2 = 24

Add the two up..

64 + 24 = 88

Hope this helps :)

Step-by-step explanation:

This is a right triangle with two congruent angles. so this is a isoceles right triangle or called a

45-45-90 triangle. This means that the legs are equal to each other so

[tex]3(x + 2) = 24[/tex]

[tex]3x + 6 = 24[/tex]

[tex]3x = 18[/tex]

[tex]x = 6[/tex]

Answer:

(7)^2 - 5 = 49 - 5 = 44

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

[tex]\displaystyle f(x) = x^2-5\\\\Put \ x = 7\\\\f(7) = (7)^2 - 5\\\\f(7) = 49 - 5 \\\\f(7) = 44\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

-0,73

Step-by-step explanation:

[tex] - 11 \div 15[/tex]

[tex] = - 0.73[/tex]

Answer:

4.5 or 4 1/2

Step-by-step explanation:

First, you multiply 3 * 3

Second, you divide 9 / 2 = 4.5

Lastly, have a beautiful day! :)

Answer:

17

Hope this helps

Answer:

31 cents

Step-by-step explanation:

do 2.50 divided by 8 which is 31 cents per inch

Answer:

∠ QRS = 132°

Step-by-step explanation:

Since the triangle is isosceles then the 2 base angles are congruent, that is

∠ PQR = ∠ PRQ = [tex]\frac{180-84}{2}[/tex] = [tex]\frac{96}{2}[/tex] = 48°

∠ PRQ and ∠ QRS are adjacent angles , so

∠ QRS = 180° - 48° = 132°

Answer:

63. Perimeter: 60.4 units

Area: 126.14 units²

64. x = 8

m = 62⁰

Step-by-step explanation:

First, let us solve question 63. To find the perimeter and the area of the triangle, we will first find the x and y value.

Formulas we would use to find the answer in Q. 63 :-

Cos = opposite / hypotenuse

Sin = adjacent / hypotenuse

Area = 1/2 × b × h

Perimeter = adding all sides

Let us find the y value using the formula of Cos.

Cos = opposite / hypotenuse

Cos24⁰ = y / 26

26(Cos24⁰) = (y / 26)26

26(Cos24⁰) = y

23.8 = y ---> *since it said to round to the nearest hundredth.*

Now let us find the x value by using the formula of Sin.

Sin = adjacent / hypotenuse

Sin24⁰ = x / 26

26(Sin24⁰) = (x / 26)26

26(Sin24⁰) = x

10.6 = x ---> *since it said to round to the nearest hundredth.*

Now let us find the perimeter and the area.

Area = 1/2 × b × h

Area = 1/2 × 10.6 × 23.8

Area = 126.14 units²

Perimeter = adding all sides.

Perimeter = 26 + 23.8 + 10.6

Perimeter = 60.4 units

On to Q. 64. Formulas we would use to find the answer of Q. 64 is :-

Tan = opposite / adjacent

Sin = opposite / hypotenuse

Let us find m. In order to find m, we will use the Sin formula.

Sin = opposite / hypotenuse

Sinm⁰ = 15 / 17

m⁰ = sin-1(15 / 17)

m⁰ = 62 ---> *since it said to round to the nearest whole number.*

Now let us find x by using the formula of Tan.

Tan = opposite / adjacent

Tan62⁰ = 15 / x

x(Tan62⁰) = (15 / x)x

x(Tan62⁰) = 15

x(Tan62⁰) / Tan62⁰ = 15 / Tan62⁰

x = 15 / Tan62⁰

x = 8 ---> *since it said to round to the nearest whole number.*

Hope this helps, thank you :) !!

Answer:

the awser is d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

See Below

Step-by-step explanation:

1. Radius of the red circle = 2 units

2. Radius of the blue circle = 1 unit

3. Coordinates for the center of the red circle = (-2, 2)

4. Coordinates for the center of the blue circle = (2, 2)

5. Equation for the red circle:

[tex] \{x - (-2)\}^2 + (y-2)^2 = 2^2 [/tex]

[tex] \red{\boxed {(x+2)^2 + (y-2)^2 = 4}} [/tex]

6. Equation for the blue circle:

[tex] (x-2)^2 + (y-2)^2 = 1^2 [/tex]

[tex]\purple {\boxed {(x-2)^2 + (y-2)^2 = 1}} [/tex]

Answer:

side LN is 28 units

Step-by-step explanation:

find the length of KN to be 21 through reverse pythagorean theorem and then subtract the square of 21 (441) from the square of 35 (1225) to get 784 and then find the square root of 784. that is the length of LN: 28

Answer:

0 to 2 minutes - Accelerating

3 to 4 minutes - Constant

6 to 8 minutes - Decelerating

9 to 11 minutes Accelerating

hope i have helped u

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

The speed of the car is 75 mph

===========================================================

Explanation:

The four given points on the diagonal line are:

Pick any two points from that list of four. I'll pick the first two points. The coordinates are then plugged into the slope formula below

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

m = (150-75)/(2-1)

m = 75/1

m = 75 so the answer is choice C

The rate of change of 75 means that each time x goes up by 1, y increases by 75.

For each hour that passes, the car has traveled 75 miles. Therefore, the rate of change is 75 miles per hour.

-----------

Note how,

In short, the slope represents the speed of the car. If the line remains the same slope, then the speed is constant.

Answer:

it's 75 i took the test

Step-by-step explanation: