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Answer:

First year would be 9180 and the second year would be 9363.6

Step-by-step explanation:

I just take the interest 2% make it a decimal .02 and times that by 9000 which gives you 180 then just add that to the 9000 for the first year and then for the second take 9180 times .02 which gives you 183.6 and just add that too 9180 to get 9363.6

Answer:

The frequency distribution is

The frequency distribution is

S/N Class limit Frequency

1 0-2 4

2 3 -4 1

3 5-6 2

4 7-8 2

5 9 - 10 0

6 11 - 12 0

The value for value upper class boundary of the fifth class is [tex]CB_5 = 10.5[/tex]

Step-by-step explanation:

From the question we are told that

The lower class limit is 0

The class width is 2

The scores is 8,6,2,4,2,0,2,6,7

The frequency distribution is

S/N Class limit Frequency

1 0-2 4

2 3 -4 1

3 5-6 2

4 7-8 2

5 9 - 10 0

6 11 - 12 0

Generally the upper class boundary of the fifth class is mathematically represented as

[tex]CB_5 = \frac{10 + 11}{2}[/tex]

            [tex]CB_5 =  10.5[/tex]

Answer: Gavin was faster because his time was less than Crystal's.

Step-by-step explanation: They rollerbladed the same distance but Gavin did it in less time.

Hope this helped!

Mark Brainliest if you want!

Answer:

i belive the answer is D tell me if im doing it wrong

Step-by-step explanation:

Using binary to decimal conversion, it is found that the numbers have the same values.

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

0011

Converting from decimal, the number is given by:

[tex]0011 = 1\times2^0 + 1\times2^1 + 0\times2^2 + 0\times2^3 = 1 + 1 + 0 + 0 = 2[/tex]

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

000011

Converting from decimal, the number is given by:

[tex]000011 = 1\times2^0 + 1\times2^1 + 0\times2^2 + 0\times2^3 + 0\times2^4 + 0\times2^5 = 1 + 1 + 0 + 0 + 0 + 0 = 2[/tex]

In both cases, the result of conversion is 2, thus, they have the same value.

A similar problem is given at https://brainly.com/question/7978210

To transform a binary number to a decimal number we need to multiply each of the components of the binary number by 2 to the power of the place value minus one, and sum all of that.

Based on this, we will see that 0011 and 000011 have the same value.

For example, the number 01 will be:

[tex]0*2^1 + 1*2^0 = 1[/tex]

The number 1010 will be:

[tex]1*2^3 + 0*2^2 + 1*2^1 + 0*2^0 = 1*8 + 1*2 = 10[/tex]

Now let's convert the two given numbers to decimals:

0011

[tex]0*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 3[/tex]

000011

[tex]0*2^5 + 0*2^4 + 0*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 3[/tex]

So exactly like in decimal numbers, adding zeros to the left side does not affect the value.

If you want to learn more, you can read:

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Answer:

C. Rational

Step-by-step explanation:

A whole number is where it is counting from 0 and going up. A integer is any number and their opposites. Irrational is something like pi or something like that.

The given mixed fractional number is a rational number. The correct option is C.

A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively.

Irrational numbers are all real numbers that are not rational numbers in mathematics. Irrational numbers, on the other hand, cannot be stated as the ratio of two integers. Decimal notation is the term used to describe the method of representing numbers in the decimal system.

Given the number is 3(2/3) convert the number into the decimal form.

3(2/3) = 11/3 = 3.66666667

The decimal form of the number indicates that the number is nonrepeating and terminating. It can be written in the fractional form

Therefore, the given mixed fractional number is a rational number. The correct option is C.

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Recall that [tex]\cos x[/tex] is bounded between -1 and 1 for all real [tex]x[/tex], so that

[tex]-1\le \cos(5t)\le 1[/tex]

[tex]\implies-\dfrac1{5t}\le\dfrac{\cos(5t)}{5t}\le\dfrac1{5t}[/tex]

Now take the limit of each side of the inequality:

[tex]\displaystyle\lim_{t\to\infty}\left(-\dfrac1{5t}\right)\le\lim_{t\to\infty}\dfrac{\cos(5t)}{5t}\le\lim_{t\to\infty}\dfrac1{5t}[/tex]

The bounding limits are both 0, so by the squeeze theorem the desired limit is also 0.

Answer:

true

Step-by-step explanation:

if they wash there hands the customers and employees can be safe

Answer:

5). x = -1

6). x = 2

Step-by-step explanation:

5). AC = (x + 10)

    AB = 5

    BC = (2x + 6)

    By segment addition postulate,

    AC = AB + BC

    (x + 10) = 5 + (2x + 6)

    x + 10 = 2x + 11

    2x - x = 10 - 11

    x = -1

6). AC = 19

    AB = 9x + 7

    BC = -3x + 20

    By segment addition postulate,

    AC = AB + BC

    39 = 9x + 7 + (-3x + 20)

    39 = (9x - 3x) + (7 + 20)

    39 = 6x + 27

    6x = 39 - 27

    6x = 12

    x = 2

    x = 2

Answer: $5

Step-by-step explanation:

10/2=5

2 people x $10 = $5

We Need To Graph:

2.05 MC

g(x)

f(x) = 3x-1

g(x) = f(x+1)

The graph is shown in the diagram.

A graph is a representation of the relationship between two variables that are normally measured along one of a pair of axes at right angles.

As per the given data:

f(x) = 3x − 1

g(x) = f(x + 1).

For g(x) substituting (x+1) in f(x):

g(x) = 3(x+1) - 1

g(x) = 3x + 3 - 1

g(x) = 3x + 2

∴ y = 3x + 2

For graph using the x and y intercept:

y intercept {x=0}:

y = 2

x intercept {y=0}:

x = (-2)/3

The graph will as drawn in the diagram and the line will pass through the points [(-2)/3, 0] and [0, 2].

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Answer:

y=-8x+4

Step-by-step explanation:

Answer:

180 km

Step-by-step explanation:

3/5 times 300 is 180

Answer

180 km

Step-by-step explanation:

Answer:

34 colonies

Step-by-step explanation:

Answer:

34 colonies is the correct option

edg 2020!

Answer:

c'

Step-by-step explanation:

Answer:

[tex]y = 6x + C[/tex]

Step-by-step explanation:

Given the system of equations

dx/dt = 6x − y  ............. 1

dy/dt = 36x − 6y ............ 2

Divide equation 2 by 1;

[tex]\dfrac{dy/dt}{dx/dt} = \dfrac{36x-6y}{6x-y} \\\\\dfrac{dy/dt}{dx/dt} = \dfrac{6(6x-y)}{6x-y}\\ \\\dfrac{dy/dt}{dx/dt} = 6\\\\\dfrac{dy}{dt}* \dfrac{dt}{dx} = 6\\\dfrac{dy}{dx} = 6[/tex]

cross multiply

[tex]dy = 6dx\\[/tex]

integrate both sides of the expression

[tex]\int\limits {dy} = \int\limits {6} \, dx \\\\y = 6x + C[/tex]

Hence the general solution to the system of equation is [tex]y = 6x + C[/tex]

The number of grains of rice that would fit in a box with dimensions of 6 cm x 2 cm x 12 cm will be 8424 grains.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A 2 cm x 2 cm x 2 cm cube holds 468 grains of rice.

Then the number of grains of rice would fit in a box with dimensions of 6 cm x 2 cm x 12 cm will be

⇒ [(6 x 2 x 12) / (2 x 2 x 2)] x 468

⇒ (144 / 8) x 468

⇒ 18 x 468

⇒ 8424 grains

The number of grains of rice that would fit in a box with dimensions of 6 cm x 2 cm x 12 cm will be 8424 grains.

More about the geometry link is given below.

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Step-by-step explanation:

3x + 1 = -14

3x = -14 - 1

3x = -15

x= -15÷3

x= -5

Answer:

L= 0.83 in

Step-by-step explanation:

Width= 1.2 in when length = 1 in

Required

Determine the length when width = 1 in

First, we need to determine the ratio

Ratio = [tex]\frac{Width}{Length}[/tex]

Ratio = [tex]\frac{1.2}{1}[/tex]

Ratio = 1.2 ---(1)

Let the required length be represented with L

So:

Ratio = [tex]\frac{Width}{Length}[/tex]

Ratio = [tex]\frac{1}{L}[/tex] ---(2)

Equate (1) and (2)

[tex]\frac{1}{L}[/tex] = 1.2

Multiply through by 1.2

L * [tex]\frac{1}{L}[/tex] = 1.2 * L

1 = 1.2 * L

Divide through by 1.2

L = [tex]\frac{1}{1.2}[/tex]

L = 0.83 in (Approximated)

Answer:

$9

Step-by-step explanation:

$260-$170=90

90/10=9

We know that $17 * 10 = $170

c = amount of money to rent a locker.

$170 + 10c = $260

Subtract $170 from both sides.

10c = $90

Divide both sides by 10

c = $9

It cost $9 for one person to rent a locker.

Answer:

Step-by-step explanation:

The answer is actually the last one :)

Answer:

7.75

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Step-by-step explanation:

Answer:

7.75

Step-by-step explanation:

3/4 = 0.75

think about it as how many quarters make a dollar, 4, so 3 quarters makes 75 cents (only works with fractions with a denominator of 4).

Hey there! I'm happy to help!

We have the number -28 and we are subtracting 3 from it. This means we are going even further into the negatives, so it is -31.

Have a wonderful day! :D

Answer:

- 31

Step-by-step explanation:

= (-28)-(3)

= - 31

Answer:

Integer number

Step-by-step explanation:

A "whole dollar" amount means, there's no decimal point, or cents in the dollar amount.

This represents a whole number, which is an integer.

It is an integer because we are told that the while dollar amount could be negative, positive or zero.

A number that is zero, positive or negative, which is also not a fraction nor a decimal, meets the true definition of what can be referred to as an integer.

Thus, the whole dollar amount change could be 0, -4, 4.

Answer: -10.49.

Step-by-step explanation:

Using order of operations PEMDAS:

4(-8+4.5)/ 6.25 + (-8.25)

= 4 * -3.5 / 6.25 - 8.25

= -14/6.25 - 8.25

=  -2.24 - 8.25

= -10.49.

Answer:

The answer should be -10.49

Step-by-step explanation:

Answer:

0.424<0.538

Step-by-step explanation:

Given the confidence interval 0.491 ± 0.057, we are to express in the form

p-E < p + E where E is the error

From the interval E = 0.057, p = 0.591

p±E = (p+E, p-E)

0.491 ± 0.057 = (0.491-0.057, 0.491+0.057)

0.491 ± 0.057 = (0.434, 0.548)

Hence the interval in the form

p-E < p + E is 0.424<0.538

Answer:

100

Step-by-step explanation:

10x10

10 times 10 is equal to 100.

Answer:

250 feet per minute

Step-by-step explanation:

1000 divided by 4 is 250. You divide them by each other because if you multiply 250 feet by 4 minutes, you get 1000.

The unit rate of change is 250ft/min

This is change in distance with respect to time

Given the following parameters;

Get the unit rate of change as shown:

Unit rate  = Distance/Time

Units rate = 1000/4

Unit rate  = 250 ft/min

Hence the unit rate of change is 250ft/min

Learn more on units rate here:https://brainly.com/question/2375289

Answer:

s=-7/9

Step-by-step explanation:

-9s+12-12=-18s-3-4

-9s=-18s-7

9s=-7

s=-7/9

(if I understood the question correctly)

Answer:

A pentagon has no parallel sides