Aaron kept $12 000 in a bank account with an annual interest rate of 4%. After exactly 2 years, the bank chose Aaron as the winner for a prize money worth $5000. Aaron decided to invest all his savings and the prize money into a Trust Fund which offers a dividend of 4.5% per annum. When ( which year ) will all his investment value exceed $20 000?

Answer: 6 gallons

Step-by-step explanation: 15/390 then answer x 156

Answer:

10 combinations

Step-by-step explanation:

We can solve the above question using the Fundamental Counting Principle.

This states that:

If an event has x possible outcomes and a other event has y possible outcomes, then there are x and y total possible outcomes for the two events together.

We are told in the above question that:

Styles of jeans = 2

Number of colors = 5

Hence,the number of combinations of a style and a colour that are possible is calculated as:

5 × 2 = 10 combinations

Answer:

x = 4  ± √11

Step-by-step explanation:

hello :

x²-8x+5=  x² -2(4 )(x)+5

 x²-8x+5=  x² -2(4 )(x)+5 =  ( x² -2(4 )(x) +4²) -4²+5

                                      = (x-4)²-11 .....(   completing the square )

    x²-8x+5= 0   means :      (x-4)²-11 = 0

      (x-4)²=11      but : 11 =   (√11)²  =  ( - √11)²

x-4 =√11   or    x-4 =  -√11

x = 4  ± √11                                                  

Answer:

x = 4 ± [tex]\sqrt{11}[/tex]

Step-by-step explanation:

To solve the equation let y = 0 , that is

x² - 8x + 5 = 0 ( subtract 5 from both sides )

x² - 8x = - 5

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = - 5 + 16

(x - 4)² = 11 ( take the square root of both sides )

x - 4 = ± [tex]\sqrt{11}[/tex] ( add 4 to both sides )

x = 4 ± [tex]\sqrt{11}[/tex]

Answer:

3, 1, 2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

1.) 10.5

2.) 3[tex]\pi[/tex] + 1

3.) [tex]\sqrt{105}[/tex]

Step-by-step explanation:

Simplify each first

3[tex]\pi[/tex] + 1 ≈ 10.42

[tex]\sqrt{105}[/tex] ≈ 10.25

10.5

Order

1.) 10.5

2.) 3[tex]\pi[/tex] + 1

3.) [tex]\sqrt{105}[/tex]

Answer:

7

Step-by-step explanation:

So first you would have to know the formula for the volume of a sphere to solve for the radius. The formula is:

V=4 /3πr3

so now we plug in the variables

1,436=4/3πr3

divide by pi

457.09=4/3r3

divide by 4/3 (multiply by the reciprocal which is 3/4)

342.82=r3

Take the third root to get r by itself

r=6.998 or 7 if you will.

Answer:

y = -3x + 5

Step-by-step explanation:

(2, -1); m = -3

y - y1 = m(x - x1)

y + 1 = -3(x - 2)

y + 1 = -3x + 6

y = -3x + 5

Answer:

Step-by-step explanation:

6x16

6x8 (don't divide)

6x8.5 (don't divide)

8.5x16 (don't divide)

(I THINK I HAVE NO IDEA)

Answer:[tex]98.13\ \text{or}\ 261.87^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\cos \beta =-\dfrac{\sqrt{2}}{10}[/tex]

As the value of cosine is negative, therefore the angle must lie in II or III quadrant

[tex]\Rightarrow \beta =\cos^{-1}(-\dfrac{\sqrt{2}}{10})\\\Rightarrow \beta=\cos^{-1}(-0.14142)\\\Rightarrow \beta =98.13^{\circ}\ \text{or}\ 270^{\circ}-8.13\\\Rightarrow \beta=98.13^{\circ}\ \text{or}\ 261.87^{\circ}[/tex]

Answer:

A

Step-by-step explanation:

Volume = lwh

Volume = (8/3) x (13/4) x (3)

Volume = 26 cubic meters

Answer:

The answer to each question is:

Step-by-step explanation:

A.) To obtain the area of the dodecagon, you can use the next formula:

In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:

If we replace the value of the edge, we obtain:

With this data, we can find the area:

Then, the area of the dodecagon is 403.2 [tex]cm^{2}[/tex] approximately.

B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.

If:

Then:

In this form, when the cookie has 3 pieces, its area is 100. 8 [tex]cm^{2}[/tex] approximately.

Step-by-step explanation:

[tex]when \: x = 2 \: and \: y = 3 \\ xy = (2 \times 3) = 6 \\ when \: x = 2 \: and \: y = 12 \\ xy = (2 \times 12) = 24 \\ when \: x = 5 \: and \: y = 12 \\ xy = (5 \times 12) = 60 \\ when \: x = 5 \: and \: y = 3 \\ xy = (5 \times 3) = 15 \\ values \: of \: xy \: are \: 6, \: 24, \: 60, \: 15[/tex]

Answer:

t = 68000 s

Step-by-step explanation:

Given that,

The average time Sally spent for training for her weight lifting competition in the month of May is [tex]6.8\times 10^4\ s[/tex].

We need to write this time in standard notation.

The power of 10 is 4. 10⁴ can be written as 10000.

[tex]6.8\times 10^4=\dfrac{68}{10}\times 10000\\\\=68000[/tex]

So, the standard time is equal to 68000 s.

Complete Question

After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the dish decreases rapidly. The number of bacteria decays by a factor of 1/15, every 6.76minutes, and can be modeled by a function, N, which depends on the amount of time, t (in minutes). Before the medicine was introduced, there were 90,000 bacteria in the Petri dish. Write a function that models the number of bacteria t minutes since the medicine was introduced.

Answer:

Nt = 90,000 × e^t/15

Step-by-step explanation:

The function that models the number of bacteria t minutes since the medicine was introduced is written as

Nt = No×e^λt

Where:

No = The initial number of the bacteria after time t

Nt = The current number of the bacteria after time t

λ = Decay constant or factor

t = Time in years

From the question,

No = 90,000 bacteria

Nt = The current number of the bacteria after time t

λ = 1/15

t = Time in years

Therefore, our function is written as:

Nt = 90,000×e^1/15 × t

Nt = 90,000 × e^t/15

Answer:

90,000*(1/15)^t/6.7

Step-by-step explanation:

Khan told me it's correct.

Answer:

1.92

Step-by-step explanation:

y = k/x^2

k = yx^2

k = 3 * 4^2

k =3*16=48

y = 48/x^2

y = 48/ 5^2

y = 48/25

y=1.92

Answer:

yes

no

yes

no

Step-by-step explanation:

pls mark brainliest

Question is incomplete as number of trials isn't given. We'll use an hypothetical value to make x plain the situation

Answer:

Kindly check explanation

Step-by-step explanation:

Given that the number of trials = x

If the number of tines the ball was hit out if 'x' trials = 3

The ratio of the number of hits to the number of trials is written as :

Number of hits : Number of trials

3 : x

Just put the exact value of x in the equation above and if possible, reduce to simplest form.

Answer:

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

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

a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

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

a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

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

a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

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

a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

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

D. a base area of 16y² square units and height of y² + y + 3 units

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

Step-by-step explanation:

Answer:

ten less the quotient of a number and 3 is 6. help needed with equation!Step-by-step explanation:

Answer: I’m not sure if you’re asking for me to solve this or how to set it up. But if you solve it you get 3.6. if you have to sit it up it would be 6 x 3/5

Step-by-step explanation:

Answer: it is 6

Step-by-step explanation: because they are the same length.

Answer:

Step-by-step explanation:

63,505,208

can you choose me brainliest?

Answer:

The answer should be C) Job category

sorry if I’m wrong

Answer: im not sure about this but I’ll try

24 because if you look at the side that says 12mi And then look at the side withe the x where they are both standing which says 48 and 72 are really similar wand looks like they have the same distance so you can add 12 + 12 and is 24 miles

Step-by-step explanation:

Answer:

30

Step-by-step explanation: