how would i solve g(a)=-3

Answer:

x = 12.29

Step-by-step explanation:

present value of the claim = x² / (1 + 2%)¹⁵ = 0.743x²

present value of the 10 premiums:

x + x/1.02 + x/1.02² + x/1.02³ + x/1.02⁴ + x/1.02⁵ + x/1.02⁶ + x/1.02⁷ + x/1.02⁸ + x/1.02⁹ = x + 0.9504x + 0.9612x + 0.9423x + 0.9238x + 0.9057x + 0.888x + 0.8706x + 0.8535x + 0.8368x = 9.1323x

0.743x² = 9.1323x

x² / x = 9.1323 / 0.743

x = 12.29

Answer

x = 12.29

Step-by-step explanation:

Given that the policy claims x² in 15 years, at 2% = 0.02, the present value of the claim is given as:

x²/(1 + 0.02)^15

= x²(1/1.02)^15

= 0.743x²

The present value of the 10 premiums:

x + x/1.02 + x/1.02² + x/1.02^3 + x/1.02^4 + x/1.02^5 + x/1.02^6 + x/1.02^7 + x/1.02^8 + x/1.02^9

= x + 0.9504x + 0.9612x + 0.9423x + 0.9238x + 0.9057x + 0.888x + 0.8706x + 0.8535x + 0.8368x

= 9.1323x

Now,

0.743x² = 9.1323x

x²/x = 9.1323/0.743

x = 12.29

This is what we are looking for.

If there are 21 teachers then the number of students is 14 students.

The ratio of students to teachers is 2:3 respectively.  If there are 21 teachers, the number of students can be calculated by using unitary method or by proportions.

Using unitary method

It means for every 2 students there are 3 teacher's

For 3 teacher there are 2 students

for 1 teacher there are 2/3 students

for 21 teacher there are 21(2/3) students = 14 students.

By using proportions

Number of students/ number of teacher = 2/3

Number of students / 21 = 2/3

Number of students = 21x 2/3 = 14

So, there 14 students for 21 teachers.

Therefore, if there are 21 teachers then the number of students is 14 students.

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A mathematics topic that van be looked into is how linear algebra, graph theory and optimization can be used on the airline industry.

In this case, to solve the scheduling issues faced by airlines such as planning flights, assigning planes and crews to routes - mathematical techniques can be employed.

By leveraging Linear Algebra, operators can simulate the flow of aircrafts and passengers while Graph Theory can help model flight schedules and aircraft routes.

Simultaneously using Optimization techniques in the problem-solving process can work to streamline various operations resulting in reduced costs and improved efficiency which can increase profit margins.

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Answer:

(a) 9800π cm²/s

(b) 39200π cm²/s

(c) 58800π cm²/s

Step-by-step explanation:

As we know,

The area of circle is:

\(A= \pi r^2\)

\(\frac{dA}{dt}=2 \pi r\frac{dr}{dt}\)

The given value is:

\(\frac{dr}{dt} =70 \ cm/s\)

Now,

(a)

After 1 second,

r = 70×1

 = 70 cm

⇒  \(\frac{dA}{dt}=2\pi(70)\times (70)\)

          \(=9800 \pi \ cm^2/s\)

(b)

After 2 second,

r = 70×4

 = 280 cm

⇒  \(\frac{dA}{dt}=2\pi \ (280)\times (70)\)

          \(39200\pi \ cm^2/s\)

(c)

After 6 seconds,

r = 70×6

 = 420 cm

⇒  \(\frac{dA}{dt}=2\pi \ (420)\times (70)\)

          \(58800\pi \ cm^2/s\)

The rate will be:

(a) 9800 π cm²/s

(b) 39200 π cm²/s

(c) 58800 π cm²/s

A circle seems to be a closed object or structure generated by tracing a point that travels together in plane at quite a constant distances from either a specific location.

According to the question,

Speed, \(\frac{dr}{dt}\) = 70 cm/s

We know,

The area of circle:

→ A = πr²

  \(\frac{dA}{dt}\) = 2πr\(\frac{dr}{dt}\)

(a) After 1 s, the rate be:

r = 70 × 1

  = 70 cm

\(\frac{dA}{dt}\) = 2π(70) × 70

    = 9800 π cm²/s

(b) After 2 s, the rate be:

r = 70 × 4

 = 280 cm

\(\frac{dA}{dt}\) = 2π(280) × 70

    = 39200 π cm²/s

(c) After 6 s, the rate be:

r = 70 × 6

  = 420 cm

\(\frac{dA}{dt}\) = 2π(420) × 70

    = 58800 π cm²/s

Thus the response above is correct.

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Answer:

1.x=-8

Step-by-step explanation:

3x+12=-12

   -12   -12

3x=-24

/3    /3

x=-8

Answer: 6.501

Step-by-step explanation:

so we are not rounding to the nearest TENTH... we are not rounding to the nearest HUNDRETH... we are rounding to the nearest THOUSANDTH.

so it would be whichever 8 is closest to: 10 or 0? 8 is closest to 10.

so 6.5008 becomes 6.501

Answer:

6.501

Step-by-step explanation:

We are supposed to round to the nearest thousanth. This would be our answer.

Hope this helps!

-kiniwih426

Answer:

$19.20

Step-by-step explanation:

8.00x140%=$11.20

8.00+ 11.20 = 19.20

An $8 flash drive with a 140% of markup will become $19.2 with an addition of $11.2 in the initial value.

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given information in the question,

The initial amount is $8.

A markup of 140% is there in the initial value.

$8 × 140/100

= $11.2

Then, the total amount after the markup will be,

$11.2 + $8 = $19.2

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Answer:

Step-by-step explanation:

First off, you need to add up AB and BC. You would get the equation:

2(3x-4)=62, since there are two segments. Solve it/simplfy.

6x-8=62 => 6x=70 => x= 11.66666(forever)

Since you alreday solved one, you easily know the answer is c.

Answer:

B

Step-by-step explanation:

Answer:

Question number 2 is A

And so is question number 3

Step-by-step explanation:

It says for 15 minus a number (meaning a variable like x or y) divided by 2 equals eleven

so 15 - y/2 = 11

For question number 3 it says the insurance company wants 100 dollars in deduction fee and then it will pay 80 percent or 0.8 of the medical costs.  so we get

0.8(960- 100)

The reason why we subtract 100 is because we paid the insurance company 100 dollars, so that is our own money going to the medical bills.

then we multiply 0.8 by 860

Answer:

1,000

Step-by-step explanation:

10 x 10 x 10 = 1,000

1000

Step-by-step explanation:

10³

=10×10×10

1000

Answer:

C (1,0)

Step-by-step explanation:

Answer:

C. (1,0)

Step-by-step explanation:

When you go 3 to the left, you end up at (0, -2). When you go up 2, you get (1,0).

9514 1404 393

Answer:

  (a) the diagram is incorrect

Step-by-step explanation:

There is no overlap between the sets of rational and irrational numbers. The diagram is incorrect.

Answer: 177.65

Step-by-step explanation:

its the only accurate  answer.........

Answer:

=54

Step-by-step explanation:

- Combine multiplied terms into a single fraction

0.5(-9)=22.51(−9)2=22.52

- Multiply by 1

- Multiply all terms by the same value to eliminate fraction denominators

- Cancel multiplied terms that are in the denominator

- Multiply the numbers

- Add 999

- to both sides of the equation

- Simplify

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

Perimeter = 128 feet

The width is 24 feet less than the length is written as

w = l - 24

128 = 2l + 2( l - 24)

128 = 2l + 2l - 48

Group like terms

4l = 176

Divide both sides by 4

l = 44

The length is 44 feet

Substitute l = 44 into w = l - 24

w = 44 - 24

w = 20

The width is 20 feet

Hope this helps you

The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

Given that, there are 6 pails in a row. The first 3 pails are filled with water.

The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.

Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

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The required number of degrees is 86° Fahrenheit corresponds to 30° Celsius.

The formula is given in the question following as:

F = (9/5)C + 32 ....(i)

It can be used to convert between degrees Celsius (C) and degrees Fahrenheit (F).

We have to number of degrees Fahrenheit corresponds to 30° Celsius

As per the given question, we have

F = (9/5)C + 32

Substitute the value of C = 30 in the given formula, and solve for F

F = (9/5)(30) + 32

F = (270)/(5) + 32

F = 54 + 32

F = 86

Thus, the required number of degrees is 86° Fahrenheit corresponds to 30° Celsius.

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Answer: the answer is 86

Step-by-step explanation: I have my ways ;>

Answer:

24 .30ms is the answer I think so if the answer is correct plz mark me as brainliest.

The papaya's speed just before it hits the water will be 24.24 m/s.

The rate at which objects moves is called speed. It is given by

\(s = \frac{d}{t}\)

An object held above the ground has a potential energy related to the height at which it is held,

PE = mgh

If you drop the object, its potential energy will become the kinetic energy of motion:

KE = ½ mv²

½ mv² = mgh

v  = √(2gh)

v =  √(2*9.8*30)

v =  24.24 m/s

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Answer:

2 units

Step-by-step explanation:

vertical distance will be the magnitude of the difference in the 'y' coordinates

| -.8 - 1.2| = 2 units

The correct answer is:

C) Because the P-value is greater than α = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.

The student set up a hypothesis test to investigate whether there is evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. The null hypothesis is that the proportion is 0.5, and the alternative hypothesis is that it differs from 0.5.

The student obtained a standardized test statistic of z = -0.80 and a P-value of 0.2119.

To make a conclusion, the student needs to compare the P-value to the significance level α.

The significance level is given as 0.10, which means that the student is willing to accept a 10% chance of making a Type I error (rejecting the null hypothesis when it is actually true).

Since the P-value of 0.2119 is greater than α = 0.10, there is not convincing evidence to reject the null hypothesis. Therefore, the student cannot conclude that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.

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The perimeter of the floor is found to be 62 feet.

A rectangle is a closed two-dimensional shape with four sides, four corners, and four right angles (90°).

Now, as per the given question;

The area of the rectangular floor is given as two hundred thirty-nine and one-fourth square feet.

Thus,

A = 239.25 feet

The width is fourteen and one-half feet.

Thus,

W = 14.5 feet

The formula for area is;

A = L×B  (L is the length)

Put the values;

239.25 = L×14.5

L = 239.25/14.5

L = 16.5 feet

The rectangular perimeter is;

P = 2(L + B)

P = 2(16.5 + 14.5)

P = 62 feet

Therefore, the perimeter of the rectangle floor is found to be 62 feet.

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The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

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The value of the resistor needed in this scenario is approximately 1.2 ohms.

To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.

Using Ohm's Law, we have the formula:

V = I * R

Where:

V is the voltage across the resistor (12 volts in this case),

I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),

R is the resistance of the resistor (which we need to find).

Rearranging the formula, we have:

R = V / I

Plugging in the values:

R = 12 volts / 10 amps

R = 1.2 ohms

Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.

It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.

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using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

x=4

Step-by-step explanation:

-3(4x+3)

you need to break open the paranthesis

-3 times 4x equals to -12x. -3 times 3 equals to -9. That means that this expression is equal to -12x-9.

4(6x+1)

you need to break open the paranthesis

4 times 6x equals to 24x. 4 times 1 equals to 4. That means that this expression is equal to 24x+4.

-12x-9+24x+4=43

move all variables to the left side and numbers to the right side

-12x+24x=43-4+9

12x=48

x=4

\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

Answer:

35 L

Step-by-step explanation:

because it cant be 1/4

Answer:

175760000

Step-by-step explanation:

There are 26 different letters and 10 different single digits that are a possibility.

Multiply all the possibilities together to get the total possible results.

10x26x26x26x10x10x10

Multiplying all those numbers gets 175760000 different possibilities.