How many solutions does this system of equation have

A. One solution
B two solution
C no solution

A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

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Answer: 4 + (-n) and -n+4

==========================================================

Explanation:

Adding a negative is the same as subtracting. For example, 10-7 = 10+(-7)

So that's why 4-n is the same as 4 + (-n)

---------

Then we go from 4 + (-n) to -n+4 because we can add two items in any order.

Example: 2+3 = 3+2 = 5

Answer: Should be 275%

Step-by-step explanation:

Answer:

The depreciation tax shield for this project in year 4 is $178.24.

Explanation:

To calculate the depreciation tax shield for this project in year 4, we need to first determine the depreciation expense for year 4 using the MACRS three-year class life category and the double-declining balance (DDB) method.

From Table 12.8 on page 415 of the textbook, we can see that the depreciation rate for year 1 is 33.33%, for year 2 it is 44.45%, for year 3 it is 14.81%, and for year 4 it is 7.41%.

Using the DDB method, we can calculate the depreciation expense for each year as follows:

Year 1: Depreciation expense = $14,000 x 33.33% = $4,667

Year 2: Depreciation expense = ($14,000 - $4,667) x 44.45% = $3,554

Year 3: Depreciation expense = ($14,000 - $4,667 - $3,554) x 14.81% = $830

Year 4: Depreciation expense = ($14,000 - $4,667 - $3,554 - $830) x 7.41% = $557

The total depreciation expense over the four years is the sum of the individual year's depreciation expenses, which is:

$4,667 + $3,554 + $830 + $557 = $9,608

Now, we can calculate the depreciation tax shield in year 4. The depreciation tax shield is the amount of the depreciation expense that reduces the firm's taxable income, multiplied by the tax rate. In year 4, the depreciation tax shield is:

Depreciation tax shield = Depreciation expense in year 4 x Tax rate

Depreciation tax shield = $557 x 32% = $178.24

Therefore, the depreciation tax shield for this project in year 4 is $178.24.

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U thought this was a professional answer?!!!!??????

You're wrong!!!!!!!!!!!!!!!!!

But the answer is correct though...

:))

PEW PEW PEW

Bing Chilling

It's over...

No more to read

Happy birthday if it's ur birthday...

Have a nice day my king:)

The equation that can be used to find the cost of each ticket is 4x = 52.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 6 is an equation.

We have,

Number of people who bought the tickets = 4

The total cost of tickets = $52

Now,

The cost of each ticket.

= 52 ÷ 4

= 13

Now,

Cost of one ticket = x

4x = 52

x = 52/4 = 13

Thus.

The cost of each ticket is $13.

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Angle L's in the triangle LMN is,

⇒ L = 72.54°

We have to given that;

A triangle LMN is shown in figure.

And, The sides are,

Since, We know that;

A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.

Since, We know that;

⇒ sin L = Opposite / Hypotenuse

And, cos L = Base / Hypotenuse

Two rays after combined into an angle have a single terminal. And, latter is known as the vertex of the angle, and the rays are known as its sides, occasionally as its legs, and occasionally as its arms.

Now, We can use trigonometry formula to find the value of angle l we get;

⇒ sin L = Opposite / Hypotenuse

⇒ sin L = LM / LN

⇒ sin L = 18/60

Taking arc sin both side, we get;

⇒ L = 72.54°

Therefore, The value of measure of angle L is triangle LMN is,

⇒ L = 72.54°

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Answer:

\(\boxed{\sf \ \ \ a=-2, \ b = 1 \ \ \ }\)

Step-by-step explanation:

Hello,

saying that the function is continuous means that you cannot have a "jump" in the graph of the function

so we want

a*(-3)+b=7 and a*4+b=-7

it comes

   (1) -3a + b = 7

   (2) 4a + b = -7

(2)-(1) gives 4a + b + 3a - b =7a = -7-7 = -14

so a = -14/7 = -2

we replace in (1)

b = 7 + 3*(-2) = 7 - 6 = 1

hope this helps

Answer:

Step-by-step explanation:

Circumference is 2πr - 2r = 90cm

2r(π-1)=90

divide both sides by (π-1)

2r = 90/(π-1)

2r = 42.024...

r = 21.012399 cm

The study found that as the percentage of roadway area in the watershed increases, the concentration of chloride in the surface streams also increases.

| Roadway Area (x) | Chloride Concentration (y) |

|--------------------|--------------------------|

| 10.7 | 28.2 |

| 11.3 | 28.3 |

| 11.7 | 28.4 |

| 11.8 | 28.5 |

| 12.6 | 28.8 |

| 13.2 | 29.2 |

The study found that as the percentage of roadway area in the watershed increases, the concentration of chloride in the surface streams also increases. Specifically, there was a statistically significant positive correlation between the two variables, with the chloride concentration increasing by an average of 0.3 mg/L for every 1% increase in the roadway area in the watershed.

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Answer:

A) 18/3 or 6 bracelets

Step-by-step explanation:

If it take 3/2 hours to make 1 bracelet, then it will take 9 hours to make 9/(3/2) bracelets. This means that the number of bracelets Jasmine can make in 9 hours following this proportional relationship is 18/3 or 6 bracelets.

Answer:

The equation that represents the total cost of the ride is:

10.10 = 5 + 0.20x + 1.30y

The number of miles (y) = 3

The number of minutes (x) = 6

Step-by-step explanation:

Let the total cost of the ride be "t".

t can be estimated by the fixed fee + cost per minute * number of minutes + cost per mile * the number of miles.

If

Fixed fee = 5

Cost per minute = 0.20

Number of minutes = x

Cost per mile = 1.30

Number of miles = y

Then:

t = 5 + 0.20x + 1.30y

If the cost of the ride is 10.10:

The equation that represents the total cost of the ride is:

10.10 = 5 + 0.20x + 1.30y

Now, to find x and y, we have to use the relation x = 2y (number of minutes was two times the number of miles)

So,

10.1 = 5 + 0.2*2y + 1.30y

10.1 - 5 = 0.4y + 1.3y

5.1 = 1.7y

5.1/1.7 = y

y = 3

The number of miles is 3

And,

x = 2y

x = 2*3

x = 6

The number of minutes is 6.

Answer:

40.5

Step-by-step explanation:

Given the limit of the function expressed as:

\(\lim_{x \to 0} \frac{e^{9x}-1-9x}{x^2} \\\)

Step 1: Substitute x = 0 into the function:

\(\lim_{x \to 0} \frac{e^{9x}-1-9x}{x^2} \\= \frac{e^{9(0)}-1-9(0)}{(0)^2}\\= \frac{{1-1-0}}{0}\\= \frac{0}{0} (ind)\)

Step 2: Apply L'hopital rule

\(\lim_{x \to 0} \frac{d/dx(e^{9x}-1-9x)}{d/dx(x^2)} \\= \lim_{x \to 0} \frac{(9e^{9x}-9)}{(2x)}\\= \frac{(9e^{9(0)}-9)}{(2(0))}\\= \frac{9-9}{0} \\= \frac{0}{0} (ind)\)

Step 3: Apply  L'hopital rule again

\(\lim_{x \to 0} \frac{d/dx(9e^{9x}-9)}{d/dx(2x)}\\ = \lim_{x \to 0} \frac{81e^{9x}}{2} \\=\frac{81e^{0}}{(2)}\\= \frac{81}{2} \\= 40.5\)

Hence the limit of the function is 40.5

Answer:

Step-by-step explanation:

Perimeter=a+b+c=6+8+10=24 m

Area=1/2*a*b=1/2*6*8=24 m^2

Which equation to represent a linear function?

Answer: option 2:

y = -4x + 5

Answer:

like

Step-by-step explanation:

The function is negative for since the leading coefficient is positive and the highest degree is odd (9) (-inf, -6).

The function is negative for since the leading coefficient is positive and the highest degree is odd (9) (-inf, -6).

It then crosses the -6 root to turn positive until it again crosses the -2 root.

(It crosses because the odd multiplicity of both roots)

The function remains negative from -2 until root 4, where it crosses into the positive, where it does not cross since there is an even multiplicity.

In light of the aforementioned, only the first option makes sense. because the leading coefficient is positive and the highest degree is odd (9) the function is negative for (-inf, -6).

Then it crosses the -6 root to become positive until it crosses again the root -2.

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The range of a function itells us what are all the values that a function can take

and as we can see from the graph the maximum value that g can take is 9 and the minimum value that it can take is -4 so its range is given by the option (c) .

Hence the correct option is (c)

The volume of right rectangular prism = 42 1/2 cm³.

We have,

height of prism = 2 cm

width of prism = 5 cm

length of prism = 4 1/4 cm  

Now, The volume of right rectangular prism = Length × Width × Height

Substitute all the values, we get;

= 2 × 5 × 4 1/4

= 10 × 17/4

= 170/4 cm³

= 42 1/2 cm³

Thus, The volume of right rectangular prism = 42 1/2 cm³

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To solve the inequality 2x < 12, we need to isolate x on one side of the inequality sign. We can do this by dividing both sides by 2:

2x < 12

x < 6

Therefore, the solution to the inequality is x < 6. This means that all values of x that are less than 6 satisfy the inequality. We can represent this graphically on a number line:

<=======()------6-------------->

The open circle () indicates that x cannot be equal to 6, but can be any value less than 6. The arrow indicates that the inequality is true for all values of x to the left of the open circle.

In summary, the solution to the inequality 2x < 12 is x < 6.

I'm 15 BTW

Answer: r8

Step-by-step explanation:

The square root of r⁶⁴ is r³².

Here, we have,

The square root of a number r⁶⁴ can be found by taking the square root of the base (r) and dividing the exponent (64) by 2.

Square root of r⁶⁴:

√(r⁶⁴)

Since the exponent is even (64), we can divide it by 2:

√(r⁶⁴⁻²)

√(r³²)

Therefore, the square root of r⁶⁴ is r³².

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Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

80 KG :)

Step-by-step explanation:

Answer:

here is not much information

Step-by-step explanation:

To calculate Tebogo's total cost per month, we need to consider the cost of blankets, delivery fee, and rent for selling space.

Cost of blankets:

Tebogo buys blankets from the wholesaler at R60 per blanket. Since he is restricted to 50 blankets per month, the cost of blankets is calculated as follows:

Cost of blankets = R60 per blanket x 50 blankets = R3000

Monthly delivery fee:

Tebogo incurs a monthly delivery fee of R120.

Rent for selling space:

The rent for selling space is not provided in the given information. To calculate the total cost per month, we would need the specific amount for rent.

To determine the total cost per month, we can sum up the costs:

Total cost per month = Cost of blankets + Monthly delivery fee + Rent for selling space

However, since the rent for selling space is not provided, we cannot calculate the exact total cost per month without that information.

The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.

Mutually exclusive events are events that cannot occur at the same time, or that do not have any overlap. In the case of flipping a coin, the possibility of getting a head and the possibility of getting tails are independent of each other, and both can occur simultaneously. Therefore, the chance that you will get heads or tails when you flip a coin once is not mutually exclusive.

On the other hand, the other events listed (B, C, and D) are mutually exclusive. The chance that you will only study for the test alone or with a friend cannot occur simultaneously, as you can either study alone or with a friend, but not both. Similarly, the chance that you will meet your friends for pizza or at a Chinese restaurant for dinner today at 6 cannot occur at the same time, as you can either go to the pizza place or the Chinese restaurant, but not both. And the chance that you will answer the ringing phone or take a walk cannot occur simultaneously, as you can either answer the phone or take a walk, but not both.

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The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.

this question is related to probability.

mutually exclusive

Mutually exclusive events are those events that do not occur at the same time.

For example, when a coin is tossed then the result will be either head or tail, but we cannot get both the results. Such events are also called disjoint events since they do not happen simultaneously.

probability

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

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Answer:

c. P=R-10; 35 million

Step-by-step explanation:

P=R-10, just read what the text says, namely profit = revenue - expenses

P=25, 25=R-10 <=> R=35

The value of every variable in the parallelogram is: a = 9 HK = 27.0 GK = 46 G = 63.5°

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.These shapes include squares, rectangles, rhombuses, and rhomboids. All of these shapes have four sides, four corners, and four angles

We know that sides of a parallelogram are parallel and congruent, as opposite angle

According to question  that GA equals HK, as:

46 is equal to 3a plus 19 When we subtract 19 from both sides, we get:

27 x 3a is the result of dividing both sides by 3:

we know that opposite angles in a parallelogram are congruent, we can use a = 9. Since angle H is 56 degrees, angle K must also be 56 degrees. The length of side HK can be determined using the Law of Cosines:

HK2 = GA2 + GK2 - 2(GA)(GK)cos(H) When we substitute the values we are familiar with, we obtain:

After solving the equation we obtain: HK2 = 462 + (3a + 19)2 - 2(46)(3a + 19)cos(56°).

HK2 = 2112 + 9a2 + 342a - 2764cos(56°) HK2 = 2112 + 9(9)2 + 342(9) - 2764cos(56°) HK2  732.4 By taking the square root of both sides, we obtain the following results:

∵ GA = 46, we can use the parallelogram's opposite sides being congruent to determine the length of side GK: HK  27.0

Then, we can use the Law of Cosines to determine the angle G's measurement:

cos(G) = (HK2 + GA2 - GK2) / (2(HK)(GA)) Using the values we are familiar with, we get,

cos(G) = (27.02 + 462 - 462) / (2(27.0)(46)) cos(G)  0.465 Using the inverse cosine, we get the following:

G ≈ 63.5°

Hence, the worth of every variable in the parallelogram is:

a = 9 HK = 27.0 GK = 46 G = 63.5°

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Answer:

B. Step 3

Complete question found on chegg:

Select the correct answer.

A mistake was made in the steps shown to simplify the expression.

Which step includes the mistake?

9/2 + 3(4-1) -7 + 2³

Step 1: 9/2 + 3(3) -7 + 2³

Step 2: 9/2 + 3(3) -7 + 8

Step 3: 15/2 (3) -7 + 8

Step 4: 45/2 -7 + 8

Step 5: 31/2 + 8

Step 6: 47/2

A. Step 4

B. Step 3

C. Step 1

D. Step 5

Step-by-step explanation:

To determine where the mistake occurred let's solve the expression ourselves and compare with answer L's given.

9/2 + 3(4-1) -7 + 2³

Using BODMAS = Bracket, Of, Division, Multiplication, Addition and Subtraction.

Step 1: solve for the value in the bracket. 4-1 =3

9/2 + 3(3) -7 + 2³

Step 2: find the value of 2³

2³ = 2×2×2 = 8

9/2 + 3(3) -7 + 8

Step 3: add 9/2 and 3(3)

9/2 + 3(3) = 9/2 + 9 = (9+18)/2

= 27/2 = (9/2)(3)

9/2 (3) -7 + 8

Step 4: open the bracket

27/2 -7 + 8

Step 5: subtract 7 from 27/2

= (27-14)/2 = 13/2

13/2 + 8

Step 6: add 13/2 and 8

13/2 + 8 = (13+16)/2 = 29/2

From the above calculation, the mistake occurred in (B) Step 3

Answer:

B. Step 3

Complete question found on chegg:

Select the correct answer.

A mistake was made in the steps shown to simplify the expression.

Which step includes the mistake?

9/2 + 3(4-1) -7 + 2³

Step 1: 9/2 + 3(3) -7 + 2³

Step 2: 9/2 + 3(3) -7 + 8

Step 3: 15/2 (3) -7 + 8

Step 4: 45/2 -7 + 8

Step 5: 31/2 + 8

Step 6: 47/2

A. Step 4

B. Step 3

C. Step 1

D. Step 5

Step-by-step explanation:

To determine where the mistake occurred let's solve the expression ourselves and compare with answer L's given.

9/2 + 3(4-1) -7 + 2³

Using BODMAS = Bracket, Of, Division, Multiplication, Addition and Subtraction.

Step 1: solve for the value in the bracket. 4-1 =3

9/2 + 3(3) -7 + 2³

Step 2: find the value of 2³

2³ = 2×2×2 = 8

9/2 + 3(3) -7 + 8

Step 3: add 9/2 and 3(3)

9/2 + 3(3) = 9/2 + 9 = (9+18)/2

= 27/2 = (9/2)(3)

9/2 (3) -7 + 8

Step 4: open the bracket

27/2 -7 + 8

Step 5: subtract 7 from 27/2

= (27-14)/2 = 13/2

13/2 + 8

Step 6: add 13/2 and 8

13/2 + 8 = (13+16)/2 = 29/2

=

Answer:

The rates are not equivalent since Maria saves $0.50 more per month than Ralph.

Step-by-step explanation:

We can determine if two rates are equivalent by comparing the rates at which they save per month.

Maria's savings per month:

Both 50 and 4 can be divided by 2, which gives us 25/2.  As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.

Ralph's savings per month:

Both 60 and 5 can be divided by 5, which gives us 12.  Thus, Ralph saves $12 per month.

Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.

Answer:34,000

Step-by-step explanation:

Answer:

its 34,000 because it below 5

Step-by-step explanation:

brainliest please