An account earns simple interest. Find the annual interest rate. I = $60 P = $500 t = 2 years The annual interest rate is %. 10​

Answer: The simplified ratio is 4:3

Step-by-step explanation:

To find the ratio of the number of girls to the number of boys, we can divide the number of girls (28) by the number of boys (21) to get:

28 ÷ 21 = [tex]\frac{28}{21}[/tex]

Next, we can simplify the fraction further to get [tex]\frac{4}{3}[/tex], which equals 4:3.

Answer:

650 * (1.01)ˣ = P(x)

Step-by-step explanation:

One formula for exponential growth is

a*bˣ, where x represents time, a represents the initial amount, and b represents the growth rate. We have 650 as our initial amount because x is the number of years after 2000, and there are 650 moose in 2000. Then, we have

650 * b¹⁰ = 750 because, after 10 years, the moose population is 750. Solving for b, we have

750/650 = b¹⁰

(750/650)^(1/10) = b

= 1.01441296377 (can round this to 1.01)

Therefore, after x years, the moose population can be represented by the equation

650 * (1.01)ˣ

Answer:

[tex] \dfrac{4m^2n}{3p} [/tex]

second choice

Step-by-step explanation:

Deal with the numbers first, then with each set of equal variables.

Use the rule a^m/a^n = a^(m - n)

4/3 cannot be reduced, so the number part remains 4/3.

m^4/m^2 = m^2

n^3/n^2 = n^1 = n

p^3/p^4 = p^-1 = 1/p

Now put it all together:

[tex] \dfrac{4m^2n}{3p} [/tex]

second choice

[tex]\\ \sf{:}\longrightarrow \dfrac{4m^4n^3p^3}{3m^2n^2p^4}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{4}{3}m^{4-2}n^{3-2}p^{3-4}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{4m^2np^{-1}}3}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{4m^2n}{3p}[/tex]

Building a probability distribution, it is found that the expected value for both players is of 0.25 points.

In this problem, the four possible outcomes, considering Player A - Player B, are:

H - H

T - H

H - T

T - T

That is, considering a success as the number of heads, the distribution is:

[tex]P(X = 0) = 0.25[/tex]

[tex]P(X = 1) = 0.5[/tex]

[tex]P(X = 2) = 0.25[/tex]

For Player A, the earnings of each outcome are: -1, 0 and 2

Hence, the expected value is:

[tex]E_A(x) = -1(0.25) + 0(0.5) + 2(0.25) = 0.25[/tex]

For Player B, the earning of each outcome are: 2, 0 and -1.

Hence:

[tex]E_B(x) = 2(0.25) + 0(0.5) - 1(0.25) = 0.25[/tex]

The expected value for both players is of 0.25 points.

You can learn about expected value at https://brainly.com/question/24855677

Answer:

2x² + 20x + 48

Step-by-step explanation:

(x+6)(2x+8)

(x)(2x) + (x)(8) + (6)(2x) + (6)(8)

2x² + 8x + 12x + 48

2x² + 20x + 48

Answer:

1/52

Step-by-step explanation:

A deck has 52 cards and the probability of picking a specific one is 1/52, or 1.92%

If you are looking for the probability of a diamond, it is 1/4, or 25%

Answer:

x=7,4

Step-by-step explanation:

[tex]a)\frac{-3^4}{3^4} = -3^{4-4} = -1[/tex]

[tex]b)\frac{(-9)^{10}}{(-9)^5} = (-9)^{10-5}= (-9)^5[/tex]

[tex]c)\frac{11^9}{11^6} = 11^{9-6} =11^3[/tex]

ok done. Thank to me :>

Answer: the area of the base will be multiplied by 4, since it will be changed from LW to

(2L)(2W) = 4LW

So, apply that to finding the new volume.

If the rectangular prism has a volume of 960 cubic units. Then the height of the prism will be 12 units.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

A rectangular crystal has a volume of 960 cubic units. The region of the base is 80 square units.

The height of the prism will be given as,

960 = 80 x H

H = 960 / 80

H = 12 units

If the rectangular prism has a volume of 960 cubic units. Then the height of the prism will be 12 units.

More about the volume of the rectangular prism link is given below.

https://brainly.com/question/21334693

#SPJ2

Answer:

0.5 > 0.25

Step-by-step explanation:

2/8 = 1/4 = 0.25

1/2 = 0.5

Answer:

<

Step-by-step explanation:

1/2 equals more than 2/8.

Because if u simplify 2/8 it would equal 1/4 which is less than 1/2.

Answer: 1 + (-1) + (-4) = -4

Step-by-step explanation:

By counting how many chips there are, you can get the following:

1 positive chip + 1 negative chip + 4 negative chips, which is

+1                      +          -1              + 4 x -1

= 1                     -1                           -4

= -4

Answer: c

Step-by-step explanation: I JUST ANSWERED BOTH PARTs

Answer:

A. The mean is increased by 3

Step-by-step explanation:

2 + 9 + 11 + 10 + 3 + 5 + 4 + 12 = 56/8 = 7

2 + 9 + 11 + 10 + 3 + 5 + 4 + 12 + 34 = 90/9 = 10

10 - 7 = 3

Answer:  40 ounces or 0.3125 of a gallon

i didnt quite understand what you were asking but here is it broken down. :)

Answer:

42x - 54 I think

Step-by-step explanation:

Just simplify it  

Answer:

It is 3 2/3 away from zero or 3.7 (3.66666666667) away from zero.

Step-by-step explanation:

It is 3 2/3 away from zero or 3.7 (3.66666666667) away from zero.

Answer:

  266

Step-by-step explanation:

There are (3 ft)^3 = 27 ft^3 in 1 cubic yard. Then 9.83 cubic yards will be ...

  (9.83 yd^3)(27 ft^3/yd^3) = 265.41 ft^3

265 sacks will not be enough. 266 sacks must be ordered.

Answer:

112 in.³

Step-by-step explanation:

This box is a combination of two rectangular prisms:

bottom - 9 in. by 2 in. by 4 in.

top - 5 in. by 2 in. by 4 in.

total volume = 9 in. × 2 in. × 4 in. + 5 in. × 2 in. × 4 in.

total volume = 112 in.³

Answer:

its 112

Step-by-step explanation:

first see how it looks like 2 boxes on top of each other, break it into major parts then multiply depth by wighth by highth

Answer:

44 ten-dollar bills

Step-by-step explanation:

Assume that all 124 bills are ten-dollar bills,

124 x $10 = $1240

Total Value of Money : $840

$1240 - $840 = $400

There are $400 worth of five-dollar bills,

$400 / 5 = 80 (The number of five-dollar bills)

Therfore the number of ten-dollar bills,

124 - 80 = 44

Let's check:

44 x $10 = $440

80 x $5 = $400

Total = $440 + $400

        = $840

Answer:

the answer is

1. 11.33

2. 5.9

3. 8.1

Answer:

A

Step-by-step explanation:

You have two increments of -5, so you know that 2 x -5 = -10. You know it is negative 10 because it is going to the left.

Hope this helps!

To reach a raise of $ 700, you can sell 20 entire cheesecakes and 63 slices, or 10 entire cheesecakes and 132 slices, or 15 entire cheesecakes and 98 slices.

To determine, if they want to raise at least $ 700, how many of each could they sell, listing three possible combinations of entire cheesecakes and slices of cheesecake the players could sell to reach their goal, the following calculation must be performed:

Therefore, to reach a raise of $ 700, you can sell 20 entire cheesecakes and 63 slices, or 10 entire cheesecakes and 132 slices, or 15 entire cheesecakes and 98 slices.

Learn more about maths in https://brainly.com/question/25903420

Answer:

so theirs 4 suits so 1/4 but since you have 2 cards

its 1/2 or 50%

Hope This Helps!!!

Answer:

a = 11

Step-by-step explanation:

As all angles on a straight line must add up to 180°:

(9a + 6) + 75 = 180

9a + 6 + 75 = 180

9a + 81 = 180

Subtract 81 from both sides of the equation:

9a + 81 - 81 = 180 - 81

9a = 99

Divide both sides by 9 to isolate a:

9a ÷ 9 = 99 ÷ 9

a = 11

Hope this helps!

Answer:

[tex]a=11[/tex]

Step-by-step explanation:

These are supplementary angles, meaning they together make up the whole measure of the angle of a straight line. A straight line is 180°, so the sum of these has to be 180° too:

[tex](9a+6)+75=180[/tex]

Then just solve for a:

[tex]9a+6+75=180\\9a+81=180\\9a=99\\a=11[/tex]

Given nth term of an AP = 7-4n

Put n = 1 then t1 = 7-4(1) = 7-4 = 3

Put n = 2 then t2 =7-4(2) = 7-8 = -1

Common difference = t2-t1 = -1-3 = -4