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The interest earned on a $30,000 deposit for six months at 1.5% interest compounded continuously will be $225.846.

Compound interest is applicable when there will be a change in the principle amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.

The continuously compound interest formula is given by

P = P₀[tex]e^{rt}[/tex] where r is the annual interest rate and t is the time period in years.

So,

P₀ = 30000

r = 1.5% = 0.015

t = 6 months = 0.5 year

So,

P = 30000[tex]e^{0.015(0.5)}[/tex]

P = 30000 × 1.007528195

P = $30225.84586

So, interest

I = 30225.84586 - 30000 = $225.8486

Hence " The interest earned on a $30,000 deposit for six months at 1.5% interest compounded continuously will be $225.846".

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Answer:

The second one if that how to answer.

Step-by-step explanation:

Answer:

1

I hope this helps! Do you need help on anything else?

Okay here are some pictures of the work, I can't do fractions on this. :)

Answer:

The answer is D.

Step-by-step explanation:

When you subtract 9 from h, the word “then” is a key term that means it’s usually in parentheses. Then you divide three.

Answer:

Step-by-step explanation:

The angles of that 5-sided polygon add up to equal 540 degrees. So we add up all the angles and solve for x, then plug x back in to angle N to get our answer.

17x + 4 + 10x - 10 + 18x + 6 + 90 + 90 = 540 and

45x + 180 = 540 and

45x = 360 so

x = 8

Now we'll fill 8 back in for x to get the measure of angle N:

18(8) + 6 = 150, the last option listed

Useful Log Rules:

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

Part (a)

All logs shown below are base 3.

log(500) = log(5*100)

log(500) = log(5*10^2)

log(500) = log(5)+log(10^2) .... use log rule 1

log(500) = log(5) + 2*log(10) .... use log rule 3

log(500) = 1.4650 + 2*2.096 ....... substitution

log(500) = 5.657

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

Part (b)

All logs shown below are base 3.

log(2) = log(10/5)

log(2) = log(10) - log(5) .... use log rule 2

log(2) = 2.096 - 1.4650  ....... substitution

log(2) = 0.631

Answer:

The number of feet away from the sprinkler where it could spread water would be the radius of the circle in which it is spraying.

The Area of a circle is

πr2=808.64

(3.14)r2=808.64

Divide both sides by 3.14

r2=257.5286624

Answer:

can u rewrite your answer in the chat thingy bc your equations are so close together it's hard to tell which is apart of which, I tried to answer them but I don't want you to get them wrong so rewrite it and I'll tell you the answers :)  

Answer:

A

Step-by-step explanation:

Answer:

x= -8 BDC= 68

EXPLANATION:

They create a straight angle which is always equal to 180. this means you must add both equations and set them equal to 180.

Answer: X=8

Step-by-step explanation:

Since the triangles are similar you can set up a proportion

16/10 = X/5

then cross multiply to create a system of equations

10X = 80

solve for X :)

Answer: a. 6 groups of boys and 2 groups of girls.  b. 24

Step-by-step explanation:

Answer: 2300

Step-by-step explanation: 25C3

The number of ways of choosing the new dancers is ²⁵C₃ = 2300 ways

The number of ways of selecting r objects from n unlike objects is given by combinations

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the number of ways of choosing the new dancers be C

Now , the total number of dancers in the group = 25 dancers

The number of new dancers selected = 3 dancers

And , the number of ways of choosing the new dancers C is calculated by the combination rule ,

where the number of ways of choosing the new dancers be C = ²⁵C₃

On simplifying , we get

²⁵C₃ = ( 25 )! / ( 25 - 3 )! ( 3 )!

²⁵C₃ = ( 25 )! / ( 22 )! ( 3 )!

²⁵C₃ = 25 x 24 x 23 / 3 x 2

²⁵C₃ = 25 x 23 x 4

²⁵C₃ = 2300 ways

Hence , the number of ways of choosing dancers is 2300 ways

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500 lol

thanks for the free points!

have a great day!

Answer: 120 in

Step-by-step explanation: You have to multiply all the numbers. Remember length.width.height is how you get your answer.    .=multiply

The surface area of the rectangular prism is 164 square in.

Important information:

The surface area of a rectangular prism is:

[tex]A=2(lb+bh+hl)[/tex]

Where, [tex]l,b,h[/tex] are the dimensions.

Using the above formula, we get

[tex]A=2(4\cdot 10+10\cdot 3+3\cdot 4)[/tex]

[tex]A=2(40+30+12)[/tex]

[tex]A=2(82)[/tex]

[tex]A=164[/tex]

Therefore, the surface area of the rectangular prism is 164 square in.

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Answer:

My uncle is 78 years old.

Step-by-step explanation:

Let the age of your uncle be x.

400 - 2x = 244

Shift (-2x) to the other side and change it to (+2x).

400 = 244 + 2x

Shift (+244) to the other side and change it to (-244).

400 - 244 = 2x

Evaluate.

2x = 156

Find x.

x = 156 ÷ 2

x = 78

Answer:

3.64 for 13 candy bars

Step-by-step explanation:

Answer:

a.) B.) and C.)

Step-by-step explanation:

Answer:

0.11 centimeters/minute

Answer:

10%

Step-by-step explanation:

You can easily make a number line starting on 120 counting all the way up tp 1200 and skip count on the bottom of the number line and you should end up with 10%

Answer:

-2547,-2546

Step-by-step explanation:

:)

Answer:

5600

Step-by-step explanation:

Answer:

obj

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Add 8 and 6 to get 14.

14−2

Subtract 2 from 14 to get 12.

12

[tex]\frac{6}{32} x \frac{100}{1} =0.1875 x 100= 18.75%[/tex]given:

Snack type                        number

of items sold

fruit cup                            8

veggie sticks                    6

chips                                14

water                                4

Total number of items sold = 32

To find  the percentage of each snack type, use the formula below:

[tex]\frac{number of each snack type}{ total sold} x \frac{100}{1}[/tex]

a) Percentage for fruit cup:

[tex]\frac{8}{32} x \frac{100}{1} =0.25 x 100 =25%[/tex]%

b) percentage of veggie sticks:

[tex]\frac{6}{32} x \frac{100}{1} =0.1875 x 100=18.75 %[/tex]%

c) percentage of chips:

[tex]\frac{14}{32} x \frac{100}{1} = 0.4375 x 100= 43.75%[/tex]%

d) percentage of water:

[tex]\frac{4}{32} x \frac{100}{1 } = 0.125 x 100=12.5[/tex]%

Answer:

Percentage of fruit cup = 25%

Percentage of veggie sticks= 18.75%

Percentage of chips= 43.75%

Percentage of water= 12.5%

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Answer:

40 miles because they are da same size

Step-by-step explanation:

The perimeter of lot C is 46.64 miles

Lot C is a square, hence the perimeter of lot C with a length of each side as a miles is:

Perimeter = 4 * length = 4a

40 = 4a

a = 10 miles

Lot B is a square, hence the perimeter of lot B with a length of each side as b miles is:

Perimeter = 4 * length = 4b

24 = 4b

b = 6 miles

Let c represent the length of lot A,, since a, b, c form a right angle triangle. Using Pythagoras theorem:

c² = a² + b²

c² = 10² + 6²

c² = 136

c = 11.66 miles

Perimeter of lot C = 4 * c = 4 * 11.66 = 46.64 miles

The perimeter of lot C is 46.64 miles

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Answer:

a1=6

a2=15

a3=24

a4=33

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Answer:

It would be 2. 6x - 1 = 1 + x

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

9514 1404 393

Answer:

  [tex]a=\sqrt{33}[/tex]

Step-by-step explanation:

The Pythagorean theorem tells you that the area of the square with side 'a' is the difference of the areas of the other two squares.

  a² = 7² -4²

  a² = 49 -16 = 33

  a = √33