You put $600 in an account at 5%. What is that balance at the end of two years?

Answer:

p = 0.2

Step-by-step explanation:

Step 1:  Distribute

29.91 - 1.35p = -5.7(-6p - 4)

29.91 - 1.35p = 34.2p + 22.8

Step 2:  Add 1.35p to both sides

29.91 - 1.35p + 1.35p = 34.2p + 22.8 + 1.35p

29.91 = 35.55p + 22.8

Step 3:  Subtract 22.8 from both sides

29.91 - 22.8 = 35.55p + 22.8 - 22.8

7.11 = 35.55p

Step 4:  Divide both sides by 35.55

7.11 / 35.55 = 35.55p / 35.55

0.2 = p

Answer:  p = 0.2

Answer:

48

Step-by-step explanation:

[tex] \frac{10}{25} [/tex]

athletes are female. Now, we need to find what

[tex] \frac{x}{120} [/tex]

athletes are female.

10 ÷ 25 = 0.4

0.4 × 100 = 40 so

[tex] \frac{10}{25} = 40\%[/tex]

40% is the experimental probability for the number of female athletes in the sample. 40% of 120 should be about the number of female athletes in the whole school.

120 × 0.4 (or 40%) = 48.

You can infer that 48 athletes in the school are female.

Answer:

Step-by-step explanation:48

Answer: answer is 1

Step-by-step explanation:

Slope(m) of the line = change in y/change in x

y2 - y1/x2 - x1

Locate the coordinates points: (-2, -8) and (-3, -9) ?

X1= -2, X2=-3

Y1= -8, y2= -9

Slot in the values into the equation:

m = -9 - (-8)/-3 - (-2)

-9 + 8/ -3 +2

= -1/ -1

=1

I hope this helps.

Answer:

12 ounces

Step-by-step explanation:

3

Final answer:

To find out how many ounces Juanita has from 3 1/4 pounds of sugar, we convert the 1/4 pound into ounces and add it to the full pounds after converting them into ounces. The calculation shows that she has 52 ounces of sugar in total.

Explanation:

To answer how many ounces of sugar Juanita has from 3 1/4 pounds, we must first understand the relationship between pounds and ounces. There are 16 ounces in 1 pound. Since Juanita has 3 1/4 pounds, we will first convert the 1/4 pound to ounces and then add that to 3 times 16 ounces.

Here's the calculation step by step:

Convert 1/4 pound to ounces: 1/4 pound = 0.25 × 16 ounces = 4 ounces.

Multiply the whole number of pounds (3) by 16 to get ounces: 3 × 16 = 48 ounces.

Add the ounces from the fractional pound to the ounces from the whole pounds: 48 ounces + 4 ounces = 52 ounces.

Hence, Juanita has 52 ounces of sugar.

Answer:

11/12

Step-by-step explanation:

Simple addition.

1/4 + 2/3

=

3/12 + 8/12 =

11/12

Answer:

11/12

Step-by-step explanation:

All you have to do is simply add 1/4 and 2/3 leaving you with

3/12 + 8/12  then add them to get the answer 11/12

Hopefully this helps.

Btw Can i get my heart?

Answer:

B.     Ray

Step-by-step explanation:

When they ask what does AB represent because they put the A first this means that the line is going from A to B and because there is an arrow and the end of B this means its a ray.

A ray is a half-infinite line. AB represents a ray.

A ray is a half-infinite line (sometimes called a half-line) in which one of the two points A and B is assumed to be at infinity.

As we can see that AB has a point on one side while the other side of the line has an arrow, therefore, AB represents a ray.

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Answer:

6x-3=3x+12

    +3 .    +3

6x=3x+15

-3x=-3x  

3x=15

X=5

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

6x - 3 = 3x + 12

Combine like terms

6x - 3x = 3 + 12

3x = 15

Divide both sides by 3

3x/3 = 15/3

x = 5

Answer:

0.11

Step-by-step explanation:

You would convert the percentage to a fraction. Since the % symbol means 'out of 100', you would put 11 over 100: 11/100.

Then you would convert the fraction to a decimal: 0.11.

An easier way could also be to take the percentage and move it two decimal places to the right.

Ex: 43% moved two decimal places to the right would be 0.43.

I hope this helps!

Answer:

0.11

Step-by-step explanation:

Final answer:

The derivative of the sum of functions f and g at x = 3 is calculated by adding the derivatives of f and g at 3. Given that f'(3) = 4 and g'(3) = 0, the derivative (f + g)'(3) equals 4.

Explanation:

The student is asking about the derivative of a sum of two functions at a specific point, which is a concept covered in calculus. From the given information, we know that:

To find (f + g)'(3), we apply the rule for the derivative of a sum of functions, which states that:

(f + g)'(x) = f'(x) + g'(x)

Therefore, (f + g)'(3) is:

(f + g)'(3) = f'(3) + g'(3)

(f + g)'(3) = 4 + 0

(f + g)'(3) = 4.

Thus, the derivative of the sum of functions f and g at x = 3 is 4.

The required value of a + b = -14.

The quadratic equation is defined as a function containing the highest power of a variable is two.

The standard quadratic function is given by as f(x) = ax² + b x + c.

The roots of the quadratic equation z² + az + b = 0 are -7 + 2i and -7 - 2i,

As we know that the sum of roots is -b/a for the standard quadratic function.

So the sum of these roots, -7 + 2i + (-7 - 2i) = -14, is equal to -a/2.

Hence, a = -28, and the sum of the coefficients, a + b = -28 + b = -14.

So, a + b = -14.

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Final answer:

The sum of the coefficients a and b from the quadratic equation with roots -7 + 2i and -7 - 2i is 67.

Explanation:

The roots of the quadratic equation z2 + az + b = 0 given are -7 + 2i and -7 - 2i. These roots are complex conjugates of each other. According to the properties of quadratics, the sum of the roots (given by -a) is equal to -7 + 2i + (-7 - 2i), which simplifies to -14. Therefore, the coefficient a is 14. To find b, we use the fact that the product of the roots is b. Thus, b equals (-7 + 2i) x (-7 - 2i), which expands to 49 + 4, giving us b = 53. The question asks us for the sum of a and b, which is 14 + 53 = 67.

Answer:

To distribute 4 ones into 5 groups, you have a few options. Here are three possible ways to distribute the 4 ones evenly among the 5 groups:

Option 1:

- Give each group 1 one: 1 1 1 1 0

Option 2:

- Give three groups 1 one, and leave two groups with 0 ones: 1 1 1 0 0

Option 3:

- Give one group 2 ones, and the other four groups 1 one each: 2 1 1 1 1

These are just a few examples, and there may be other ways to distribute the 4 ones into 5 groups. The important thing is to ensure that each group receives the same number of ones, if possible, or as close to equal as possible.

Answer:

Step-by-step explanation:

Given that,

11/20 + c = 3/4

Subtract 11/20 from both sides of the equation to eliminate 11/20

11/20-11/20+c=3/4-11/20

c= (15-11)/20

c=4/20

c=1/5

Answer:

the number -5 is a real number

Step-by-step explanation:

real numbers are basically all numbers.... if you havent met complex numbers yet..

hopefuly this helped

:)

Answer:

the number -5 is a real number

Step-by-step explanation:

all the others are wrong.

Answer:C

Step-by-step explanation:

The best deal can be calculated by dividing the cost of the nail by the total amount of nails present in the pack.

A = $6.50/75 = $0.076

B = $15.50/200 = $0.0775

C = $36.00/500 = $0.072

D = $72.00/1000 = $0.078

From the above, the best deal is C (500 nails for $36.00) and the worst deal is D (1000 nails for $72.00).

Answer:

It´s A not C

Step-by-step explanation:

The solution to the system of equations y = -4x and y = 2x + 12 is found by setting the two equations equal to each other, solving for x, and then finding y. The ordered pair solution is (-2, 8).

To find the ordered pair solution to the system of equations y = -4x and y = 2x + 12, we need to set the two equations equal to each other since they both describe y in terms of x. This gives us:

-4x = 2x + 12

Now, we will solve for x by combining like terms:

-4x - 2x = 12

-6x = 12

To get x by itself, divide both sides by -6:

x = -2

Next, we substitute x = -2 back into one of the original equations to find y. For example:

y = 2(-2) + 12

y = -4 + 12

y = 8

Therefore, the solution to the system of equations is the ordered pair (-2, 8).

34 base five to 34 base ten is 19.

Step-by-step explanation:

Basically , In order to convert 34 from base 5 to base 10 , We skip consecutive 5 numbers after counting 5 numbers as shown below in table in base-5 table and , just increment 1 in base-10 table

Base- 5    Base-10

 1                     1

 2                    2

 3                    3

 4                    4

 10                  5

 12                    6

 13                    7

 14                    8

 20                    9

.......                  ....

34                 19

34 base five to 34 base ten is 19.

Write the multiples of 5 (1,5,25,125,....) based on the no.of digits given. Then multiply and add to convert it into base 10

5 1

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

3 4

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

5 (3)+ 1(4) = 15+4 = 19

About 151. That seems pretty close. If it is incorrect, sorry.

Answer: 3

Step-by-step explanation: Plug in x = -7

Answer:

k=2.1

Step-by-step explanation:

k/3.5  + 7.4 = 8

Subtract 7.4 from each side

k/3.5  + 7.4 -7.4 = 8-7.4

k/3.5 = .6

Multiply each side by 3.5

k/3.5 *3.5 = .6 *3.5

k = 2.1

Answer:

42 centimetres

Step-by-step explanation:

First, u have how many centimetres knitted over 1 night:

Answer: x = 3

Step-by-step explanation:

-5 -x = -8

-× = -8 + 5

-x = -3

x = 3

The given series is a geometric series. The sum of this series can be calculated using the formula for the sum of a geometric series, Sn = a(Rn-1)/(R-1). By substituting the given values into the formula, the sum of the series is found to be 242.

The series given is a geometric series. A geometric series is a series of numbers where each term after the first is found by multiplying the previous term by a constant.

The series is 2+6+18+54+162, where each successive term is 3 times the previous term. Hence, the common ratio (R) is 3.

The sum of the first 'n' terms (Sn) of a geometric series can be found using the formula: Sn = a(Rn-1)/(R-1), where a is the first term, R is the common ratio and n is the number of terms.

Here, 'a' = 2 and 'R' = 3. The total number of terms (n) is 5 in this case. Substituting these values into the formula gives: S5=2(35-1)/(3-1)= 2*(243-1)/2= 242

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We know that the volume of a prism is defined by:

[tex]V=lwh \\ \\ \\ Where: \\ \\ l:length \\ \\ w:width \\ \\ h:height \\ \\ \\ l=\frac{d-2}{3d-9} \\ \\ w=\frac{4}{d-4} \\ \\ h=\frac{2d-6}{2d-4}[/tex]

Substituting values:

[tex]V=\left(\frac{d-2}{3d-9}\right)\left(\frac{4}{d-4}\right)\left(\frac{2d-6}{2d-4}\right) \\ \\ \\ Simplifying: \\ \\ V=\frac{d-2}{3d-9}\cdot \frac{4}{d-4}\cdot \frac{d-3}{d-2} \\ \\ V=\frac{\left(d-2\right)\cdot \:4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)\left(d-2\right)} \\ \\ V=\frac{4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)} \\ \\ V=\frac{4\left(d-3\right)}{3\left(d-3\right)\left(d-4\right)}[/tex]

[tex]Finally: \\ \\ \boxed{V=\frac{4}{3\left(d-4\right)}}[/tex]

The volume of the given prism in simplified form is [tex]V = \frac{4}{3(d - 4)}[/tex].

To find the volume of the prism, we use the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

Given the dimensions of the prism:

l = \frac{d - 2}{3d - 9}

[tex]l = \frac{d - 2}{3d - 9}\\\\w = \frac{4}{d - 4}\\\\h = \frac{2d - 6}{2d - 4}[/tex]

We substitute these into the formula:

[tex]V = \left(\frac{d - 2}{3d - 9}\right) \left(\frac{4}{d - 4}\right) \left(\frac{2d - 6}{2d - 4}\right)[/tex]

Now we simplify this expression step-by-step:

Simplify the height term:

[tex]\frac{2d - 6}{2d - 4} = \frac{2(d - 3)}{2(d - 2)} = \frac{d - 3}{d - 2}[/tex]

Substitute the simplified height term:

[tex]V = \left(\frac{d - 2}{3(d - 3)}\right) \left(\frac{4}{d - 4}\right) \left(\frac{d - 3}{d - 2}\right)[/tex]

Combine and cancel common terms:

[tex]V = \frac{4}{3(d - 4)}[/tex]

This gives us the volume of the prism in its simplest form.

Complete question:

Using V = lwh, what is an expression for the volume of the following prism? The dimensions of a prism are shown.

The height is (2 d - 6) / (2 d - 4).

The width is 4 / (d - 4 ).

The length is StartFraction (d - 2) / (3 d - 9 ).

Answer:

Step-by-step explanation:

2x-6=48

2x=42+6

2x=48days

x=24days

The employee worked 16 days and the employer worked 26 days to reach the total of 42 days both worked.

This problem can be solved using algebraic expressions. Let's denote the number of days the employee worked as 'e'. According to the problem, the employer worked (e+6) days, since he lacked 6 days of working twice as many days as his employee (2e-6). Then, combining these gives the equation (2e-6) + e = 42 (the total number of days they both worked). We can simplify this equation by adding like terms and getting 3e - 6 = 42. Solving for 'e' will give us the number of days the employee worked. First, add 6 to both sides of the equation making it 3e = 48. Then, divide both sides by 3 to solve for 'e'. Thus, e = 16. This means the employee worked 16 days. The employer, having worked (2e-6) days, worked (2*16-6) = 26 days.

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Yes.

8 4/5 = 8 8/10 = 8.8

8.8 is greater than 8.08

Answer:

yes

Step-by-step explanation:

4/5 as a fraction is 8/10 and 8/10 as a decimal is 0.8 and 0.8 is greater than 0.08

Answer:

3 = x, 2 = y

Step-by-step explanation:

Opposite sides in a parallelogram are always congruent, so 2y+3=y+5 and 4y+1=4x-3

The first equation, when solved, shows that y = 2

When you plug that into the second equation, you get 4(2) + 1 = 4x - 3

This means that 12 = 4x, so 3 = x

Answer:

3

Step-by-step explanation:

Answer:

n = 3

Step-by-step explanation:

-1(n2 + 3) if n = -3.

from the question

-1(n2 + 3)

we are then asked to find n if its equals to -3

solution

-1(n2 + 3) .................. we are going to open the bracket with-1 according to BODMAS rule

we have,

-n²-3

when the value of n = -3

we have,

= (-3)² - 3

= 9 - 3

= 3

therefore  when n = -3 in the expression -1(n2 + 3)  the value of n = 3

to check if your answer is correct you will put the value of n which is 3 into the -1(n2 + 3)  then you will see that the right handside = lefthandside

which is

3=3...........proved.

Answer:

4[tex]\sqrt{13}[/tex] or 4[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Pythagorean theorem:

your solution will differ based on which side is the hypotenuse

x = [tex]\sqrt{12^{2} -8^{2} }[/tex] =4[tex]\sqrt{5}[/tex]

or x = [tex]\sqrt{8^{2}+12^{2} }[/tex] = 4[tex]\sqrt{13}[/tex]

Answer:

424 yards²

Step-by-step explanation:

Diameter 22, radius 11

Outer circle: radius = 11+5 = 16

Area of the path:

Pi× (16²-11²)

= 135pi yards²

Or, 424 yards² (3 sf)

Answer:

135pi

Step-by-step explanation:

(I'm guessing you want to know the ring's area)

Diameter = 22 yards, meaning Radius = 11 yards

[tex](11+5)^{2}\pi[/tex] = 256pi = Outer Ring + Pool

[tex](11)^{2}\pi[/tex] = 121pi = Pool

Outer Ring = 256pi - 121pi = 135pi