1) Given f(x) = 3(1.04)*

a) Is the function growth or decay?

b) Determine the growth/decay rate in %.

The  required single payment is required to settle both debts in one month is $4071.26.

Simple interest is the amount of interest charged on a specific pripal amount at a specific interest rate. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.

We have,

Interest of 12 month = 6.30%

For one month = 6.30/12

= 0.525% per month

Total debt =  $2,100 +  $1,950

Total debt = $4050

Interest of one month = 0.525% of $4050

= $21.26

Net debt = $4050 + $21.26.

Thus, required single payment is required to settle both debts in one month is $4071.26.

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The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

A

Step-by-step explanation:

2p - 5p < 8 + 4

- 3p < 12

-3/-3 p > 12/-3

p  > -4

-2, - 3

Answer:

0.054

Step-by-step explanation:

9 3/5% as a decimal is 0.054 (already to 3 decimal places)

Answer from Gauthmath

9 are just, well..., 9

3/5 are 0.6

because 1/5 is 0.2

so it's 9.6%, not so complicated I guess

Answer:

Step-by-step explanation:

343: = 7 * 7 * 7

x^9: = x^3 * x^3 * x * x * x = x^3 * x * √x

y^12: = y^6 * y^6

z^6: = z^3 * z^3

So the square root  is

√343 = 7 √7

√x^9 = x^4√x

√y^12 = y^6

√z^6 = x^3

The rule is for every pair of equal factors, you take one outside the root sign and throw the other one away.

So z^6 for example is z^3 * z^3 Take one of the pair outside the root sign and throw the other one away.

x^9 is rather tricky. You take x^4 out and there is still one x left over. You leave it under the root sign.

So the answer is

7  * x^4 * y^6 * z^3 * √7x

Answer: d

Step-by-step explanation:

aint no 90 cuz

Answer:

Not a right triangle

Step-by-step explanation:

root 4^2 + 6^2 is not equal to 7.5

Answer:

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

Given is the quadratic equation.

A quadratic equation has two real solutions if the discriminant is positive.

The class width used for the frequency distribution is 6.

The class midpoint for the class 23-29 is 26.

The class midpoint for the class 30-36 is 33.

The class midpoint for the class 37-43 is 40.

To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:

23-29

30-36

37-43

For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:

Class width = 29 - 23 = 6

So, the class width for the frequency distribution is 6.

To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.

For the class 23-29:

Class midpoint = (23 + 29) / 2 = 52 / 2 = 26

For the class 30-36:

Class midpoint = (30 + 36) / 2 = 66 / 2 = 33

For the class 37-43:

Class midpoint = (37 + 43) / 2 = 80 / 2 = 40

So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.

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Answer:

- 5 - 10i

Explanation:

We given expression is

(-3 - 2i) - (2 + 8i)

To find the difference, we first need to eliminate the parenthesis, so

-3 - 2i - 2 - 8i

Then, we can add the like terms, so

(-3 - 2) + (-2i - 8i)

-5 + (-10i)

-5 - 10i

Therefore, the answer is

- 5 - 10i

Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1). Therefore, option B is the correct answer.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given that, three softball players discussed their batting averages after a game.

Probability:

Player 1: 4/7 =0.57

Player 2: 5/8 =0.625

Player 3: 3/6 =0.5

Therefore, option B is the correct answer.

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The equation is correct, and the value on both sides of the equation is 40.

To verify if the equation 90 × 4/9 = 40 is true, we can perform the calculation on both sides and compare the results.

On the left side of the equation:

90 × 4/9 = (90 × 4) / 9 = 360 / 9 = 40

On the right side of the equation:

40

Both sides of the equation evaluate to 40, which means they are equal. Therefore, the equation 90 × 4/9 = 40 is indeed true.

In summary, the equation is correct, and the value on both sides of the equation is 40.

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C.) 4 Hours, $60 Hope this helps!!!

Answer:75/5 = x/7

Step-by-step explanation:

Complete this equation and you will end up with the answer 105

An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is

The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.

In Mathematics, an exponential function can be modeled by using the following mathematical equation:

f(x) = a(b)^x

Where:

Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:

Rate of change (decay rate) = 100 - 13 = 87% = 0.87.

By substituting the parameters into the exponential equation, we have the following;

\(f(x) = 95(0.87)^x\)

When x = 12, we have;

\(f(12) = 95(0.87)^{12}\)

f(12) = 17.86 ≈ 18 milligrams.

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Answer: Fred had 1 cup of milk to drink.

Step-by-step explanation: 1/3 + 2/3 equals 3/3 or 1

Answer:

bottom half

bottom- 3 x 12.5 = 37.5

front side- 3 x 4 = 12

back side- 12

left side- 4 x 12.5 = 50

right side- 50

total: 161.5

top half

front triangle- (3x4)/2 = 6

back triangle- 6

left side- 4 x 12.5 = 50

right side- 50

total: 112

161.5 + 112 = 273.5

Answer:

Step-by-step explanation:

Median - The middle number in a set a data

First, you need to list the numbers least, on the left, to greatest, on the right.

3, 3, 4, 5, 5, 5, 6, 8, 8

Once you have done this, you can follow these steps.

Cross off the lowest number. Cross off the highest number. Repeat until there is one or two numbers left.

3, 4, 5, 5, 5, 6, 8

4, 5, 5, 5, 6

5, 5, 5

5

Since there is one number left, that is the median. In case of there being two numbers left, you add them together. Then divide by 2 and that would be your median

Answer:

\(\Large \boxed{\sf 5}\)

Step-by-step explanation:

Data set is 3, 3, 4, 5, 5, 5, 6, 8, 8

Median is the middle value in a data set

Answer:

The groups are round shapes, triangles, quadrilaterals, pentagons, and hexagons.

Step-by-step explanation:

The groups are round shapes, triangles, quadrilaterals, pentagons, and hexagons.

The rate of the proportional relationship is k = 200 rows per minute.

A proportional relationship between two variables x and y is written as:

y = k*x

Where k is the constant of proportionality or rate of change.

Using a pair of values of (x, y) and replacing them in the equation above, we can find the value of k.

The first point is (1, 200), replacing these values:

200 = k*1

200/1 = k

So Cole rows 200 meters per minute.

If we use the second point (2, 200) we will get the same rate:

400 = k*2

400/2 = k

200 = k

And so on if we use any point.

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Answer:

5

Step-by-step explanation:

3(2x+1)=7x-2

6x + 3 = 7x - 2

6x - 7x = -2 - 3

-x = -5 /(-1)

x = 5

Answer:

5

Step-by-step explanation:

3 ( 2x + 1 ) = 7x - 2

Step 1 : Remove the parentheses

6x + 3 = 7x - 2

Step 2 : Move the variable to the left-hand side and move extra number the right-hand side

6x + 3 = 7x - 2

-7x  -3   -7x  -3

6x - 7x = -2 - 3

Step 3 : Combine like terms

-x = -5

Step 4 : Change the sign to make x positive

x = 5

SOLUTION : x = 5

Hope this helps :)

Answer:

1926cm²

Step-by-step explanation:

Given

Dimension = 21cm by 18cn by 15cm

The illustration in this question is to determine the surface area of the fabric and this is calculated using the surface area of a cuboid as follows:

\(Surface\ Area =2(LB + LH + BH)\)

Where L, B and H are the dimensions.

So,

\(Surface\ Area = 2(21 * 18 + 21 * 15 + 18 * 15)\)

\(Surface\ Area = 2(378 + 315 + 270)\)

\(Surface\ Area = 2(963)\)

\(Surface\ Area = 2 * 963\)

\(Surface\ Area = 1926cm\²\)

Hence, 1926 cm² of fabrics are needed to cover all surfaces.

Answer:

y = \(\frac{3}{4}\) x - \(\frac{9}{2}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, - 6) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line

m = \(\frac{-3-(-6)}{2-(-2)}\) = \(\frac{-3+6}{2+2}\) = \(\frac{3}{4}\) , then

y = \(\frac{3}{4}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (2, - 3 )

- 3 = \(\frac{3}{4}\) (2) + c = \(\frac{3}{2}\) + c ( subtract \(\frac{3}{2}\) from both sides )

- 3 - \(\frac{3}{2}\) + c , then

c = - \(\frac{9}{2}\)

y = \(\frac{3}{4}\) x - \(\frac{9}{2}\) ← equation of line

Greetings! Hope this helps!

Answer

7/24 of a mile.

Explanation

5/8 1/3, Find common demoninator

15/24 8/24, Subtract

7/24 simplify

Have a good day!

_______________

A brainliest would help tons! :D

Answer:

23/24 miles

Step-by-step explanation:

You have to simplify the fractions to like terms

The lowest common number that 3 and 8 have in common is 24

1 x 8 = 8

3 x 8 = 24

This makes 8/24

5 x 3 = 15

8 x 3 = 24

This makes 15/24

Now you can add 8/24 and 15/24

8 + 15 = 23

Because it is a common denominator, we do not add it, which makes 23/24

Now you simplify as much as possible (if possible)

Because 23 is not divisable by any other number, 23/24 is the simpliest form

Answer:

50 + 1 + \(\frac{2}{10}\) + \(\frac{4}{100}\) + \(\frac{2}{1,000}\)

Step-by-step explanation:

This is the answer because:

1) 50 and 1 equal to 51

2) The fraction forms of a decimal number is: the decimal number/the decimal number place value

3) Therefore, the answer is 50 + 1 + \(\frac{2}{10}\) + \(\frac{4}{100}\) + \(\frac{2}{1,000}\)

Hope this helps!

Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.

The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:

2 hours + 20 minutes / 60 = 2.33 hours

Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.

We can use the formula for average speed: average speed = distance / time

In this case, the average speed should be such that the distance divided by the time is equal to the average speed.

d / 2.33 = average speed

Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:

250 / 2.33 = average speed

To find the average speed to the nearest km/h, we'll calculate the result:

average speed ≈ 107.3 km/h

Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

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Answer:

If the cost of 3 notebooks is 30.30, we can infer the cost of one notebook is 10.10.

Step-by-step explanation:

\(10.10 * 15 = x\)

\(10.10 * 15 = 151.5\)

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the cost of 15 notebooks, given that the cost of 3 notebooks is 30.30.

\(\triangle~\fbox{\bf{KEY:}}\)

So we divide the cost of three notebooks (30.30) by 3:

\(\star~\large\pmb{30.30\div3}\)

\(\star~\large\pmb{10.10}\)

That's the cost of 1 notebook. Now, multiply that times 15 (we're asked to find the cost of 15 notebooks).

\(\star~\large\pmb{10.10\times15}\)

This gives us:

\(\star~\large\pmb{151.5}\)

That's the cost of 15 notebooks if the cost of one notebook is 10.10.

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping students out :)

Whwn the line of sight from the park ranger station, P, to the lifeguard chair, L, the length of PL is 0.76 miles.

It should be noted that since the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, and the first aid station, F, then the path from the park ranger station to the lifeguard chair is the hypotenuse of a right triangle with legs of 0.35 miles and 0.65 miles.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. Therefore, the length of PL is equal to:

= ✓(0.35² + 0.65²)

= 0.76 miles.

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By using graph of function y = x² - 5x - 2, the solution of the equation

- 4 = x² - 5x - 2 are,

⇒ (2, - 4) and (3, - 4)

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The equation is,

⇒ y = x² - 5x - 2

⇒ - 4 = x² - 5x - 2

Now, We can draw the graph of function y = x² - 5x - 2 as shown in figure.

Then, For equation - 4 = x² - 5x - 2;

Value of y = - 4

Hence, By the graph of y = x² - 5x - 2 we can see that at y = - 4 there are two value of x;

⇒ x = 2, 3

Thus, By using graph of function y = x² - 5x - 2, the solution of the equation - 4 = x² - 5x - 2 are,

⇒ (2, - 4) and (3, - 4)

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