a1=10an=an-1+4 ??????? help pls

Answer:

`y = 2

y = -1

Step-by-step explanation:

Im not very good at explaining things im new at so all i can get s the answer

Answer:

87.50

Step-by-step explanation

Answer:

Jared is 14 years old

Step-by-step explanation:

The exponential function that passes through (0,2) and (3,54) is a growth function

The exponetial function is y = 2 * 3^x

The points are given as:

(x,y) = (0,2) and (3,54)

An exponential function is represented as:

y = ab^x

Substitute the points in the equation

2 = ab^0 and 54 = ab^3

Solve 2 = ab^0

a = 2

Substitute 2 for a in 54 = ab^3

54 = 2b^3

Divide by 2

27 = b^3

Take the cube roots of both sides

b = 3

So, we have:

y = ab^x

This becomes

y = 2 * 3^x

Hence, the exponetial function is y = 2 * 3^x

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The monthly Payment for the loan is approximately $271.24.

To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

Given:

Loan Amount = $50,000

Interest Rate = 6.5% per year

Number of Years = 5

First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:

Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667

Plugging in the values into the formula, we get:

Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))

              = $271.24

Therefore, the monthly payment for the loan is approximately $271.24.

The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.

If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.

On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.

Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.

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Approximately 94.90% of the men in the country are eligible for the military based on height.

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

z-score = (X-ц )/σ

First, we need to standardize the values of 66 and 77 using the given mean and standard deviation:

Z(66) = (66 - 70.4) / 2.6 = -1.69

Z(77) = (77 - 70.4) / 2.6 = 2.54

The percentage of the area under the standard normal distribution curve is between -1.69 and 2.54.

Using a standard normal distribution table, we can find that the area to the left of Z = -1.69 is 0.0455 and the area to the left of Z = 2.54 is 0.9945.

Therefore, the area between Z = -1.69 and Z = 2.54 is:

0.9945 - 0.0455 = 0.9490

This means that approximately 94.90% of the men in the country have heights between 66 inches and 77 inches.

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Answer:

48g - 24 = -24 + 48g

Step-by-step explanation:

Step 1: Distribute left side

48g - 24 = 6(-4 + 5g) + 18g

Step 2: Distribute right side

48g - 24 = -24 + 30g + 18g

Step 3: Combine like terms

48g - 24 = -24 + 48g

The solution to this equation would be infinite amount of solutions.

First function - The function is not continous on [0, 5] because h(5) is not defined.

Second function - There are no discontinuities.

In this problem we have two functions, whose continuity has to be checked. The first equation is a rational function and the second one is a polynomic function. There is a discontinuity in a function f at a given point if and only if the function evaluated at such point does not exist.

The discontinuities of rational functions are those x-values such that the denominator equals zero. The first function is defined for the interval [0, 5] and it is continuous if the function exists for all value of the interval. Thus:

5 - x = 0

x = 5

The rational function has a discontinuity at x = 5. The function is not continous on [0, 5] because h(5) is not defined. (Correct choice: C)

In accordance to algebra, polynomic functions are continuous as there exist a result for all value of x. There are no discontinuities.

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Answer:

163 miles

Step-by-step explanation:

set up a ratio based on 49 miles in 1 hour (60 minutes):

let 'd' = distance in 3hrs, 20 min

3hrs, 20 min = 200 minutes

49/60 = d/200

cross-multiply:

60d = 9800

d = 163.3

The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be 163.33 miles.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

The speed of the vehicle is 49 miles per hour. And the time is 3 hours 20 minutes.

Convert the time completely hours. Then we have

T = 3 + 20/60

T = 3.33 hours

The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be

D = 49 x 3.33

D = 163.33 miles

The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be 163.33 miles.

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Answer:

A = 6940 m²

Step-by-step explanation:

We are told that there is a clover leaf intersection.

I have attached a picture of it with the 4 circles showing.

We are told the diameter of each circle is the same and equal to 47 m.

Thus, radius = 47/2 = 23.5 m

We want to find the area of grass that will cover the 4 circles. Thus;

Formula for area of a circle is;

A = πr²

For the 4 circles, we have;

A = 4πr² = 4 × π × 23.5²

A = 6939.78 m²

Approximately A = 6940 m²

Answer:

Step-by-step explanation:

The equation that represents the total cost, c, of the purchases made by Jake is: c = 3(0.89) + 2(2.98) + 4.99.

To write the equation that represents the total cost of a given scenario like the one given, you can use variables to represent each component that makes up the total cost in the given situation.

Thus, let:

a = apple = 3a

s = can of soup = 2s

b = box of cereal = b

c = total cost

We know that unit price of each items are:

Apple = $0.89

Can of soup = $2.98

Box of cereal = $4.99

Equation would be:

c = 3a + 2s + b

Plug in the values

c = 3(0.89) + 2(2.98) + 4.99

Therefore, the equation that represents the total cost, c, of the purchases made by Jake is: c = 3(0.89) + 2(2.98) + 4.99.

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Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.

When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.

Increased employment opportunities result in more individuals having access to income and improved standards of living.

Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.

Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.

Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.

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The statement that is true regarding the function f(x) = (x-4)(x + 1) is that the function is increasing for all real values of x where x < -1 and where x > 4. So, the option is: O The function is increasing for all real values of x where x < -1 and where x > 4.

Explanation: Given function is:f(x) = (x - 4) (x + 1). The graph of the given function is shown below: As it is visible from the graph, the function is decreasing for all real values of x where x lies between -1 and 4 (inclusive).

The turning point of the function is x = -0.5, which is the x-coordinate of the vertex of the parabola. Also, we see that the vertex is the minimum point of the parabola and the y-coordinate of the vertex is -4.25. This means that f(x) ≥ -4.25 for all x. The function is increasing for all real values of x where x < -1 and where x > 4.

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Answer:

the answer is

x=-2, x=3

hope this will help you ❤️

let's solve the quadratic equation :

there are two cases now,

Case - 1 - when (x + 2) = 0

Case - 2 - when (x - 3) = 0

so, the missing numbers to be filled in the boxes are :

Answer:

 \(\dfrac{x^2+8x+8}{2x+4}\\\\\)

Step-by-step explanation:

Simplify:

        \(\dfrac{3x + 4}{x +2}+\dfrac{x^2+2x}{2x+ 4}\)

Multiply the denominator and the numerator of the first term by 2,

                        \(=\dfrac{2*(3x +4)}{2*(x+ 2)}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{2*3x+2*8}{2*x +2*2}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{6x+8}{2x+4}+\dfrac{x^2+2x}{2x+4}\)

                       \(\sf = \dfrac{6x+8+x^2+2x}{2x+4}\\\\\text{\bf Combine like terms,}\\\\=\dfrac{x^2+8x+8}{2x+4}\\\\\)

Answer:

416

Step-by-step explanation:

you take 520 times .80

The correct statement is: She should calculate the ratio between the number of calories she burned versus the number of miles she ran.

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here: The table containing data calories vs miles run.

You can tell if a table shows a proportional relationship by calculating the ratio of each pair of values. If those ratios are all the same, the table shows a proportional relationship.

Thus calculating the ratio for each pair of entries we get

1) ratio=118/1.2

      =295:3a  or unit rate 98.33 calories per mile

2) 190/2= 95:1 or unit rate 95 calories per mile

3) 226/2.4=565:6 or unit rate94.1

clea,rly the ratios are different.

Hence, The table containing the data doesn't form a proportional relationship.

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After calculating we found that: a) 95% of widget weights lie between 42 and 54 ounces.b) 97.35% of widget weights lie between 39 and 54 ounces and c) 0.3% of widget weights lie above 45 ounces.

a) Since the distribution is bell-shaped and the mean is 48 ounces with a standard deviation of 3 ounces, we can use the 68-95-99.7 Rule to determine that 68% of the widget weights lie within one standard deviation of the mean, 95% lie within two standard deviations of the mean, and 99.7% lie within three standard deviations of the mean. Thus, we know that 95% of the widget weights lie between:

48 - 2(3) = 42 ounces and 48 + 2(3) = 54 ounces.

b) To find the percentage of widget weights that lie between 39 and 54 ounces, we need to determine how many standard deviations away from the mean these values are.

39 ounces is 9 ounces below the mean, so it is (9/3) = 3 standard deviations below the mean.

54 ounces is 6 ounces above the mean, so it is (6/3) = 2 standard deviations above the mean.

Using the 68-95-99.7 Rule, we know that 99.7% of the widget weights lie within three standard deviations of the mean. Since 39 ounces is three standard deviations below the mean, we can conclude that 0.15% (or 0.003 x 100) of the widget weights lie below 39 ounces.

Likewise, since 54 ounces is two standard deviations above the mean, we know that 2.5% of the widget weights lie above 54 ounces. Thus, the percentage of widget weights that lie between 39 and 54 ounces is:

100% - 0.15% - 2.5% = 97.35%

c) We need to find the percentage of widget weights that lie above 45 ounces. Since 45 ounces is three standard deviations below the mean, we know that 99.7% of the widget weights lie above 45 ounces. Therefore, the percentage of widget weights that lie above 45 ounces is:

100% - 99.7% = 0.3%.

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Abraham Lincoln, in his autobiography, kept his portrayal of his life very: A. neutral.

An autobiography can be described as the account of the of an individual which is authored by the individual whose life is being narrated.

For Abraham Lincoln, the manner in which he described himself sounded quite neutral in the autobiography he authored.

We can conclude that Lincoln kept his portrayal of his life very: A. neutral.

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Answer:

Step-by-step explanation:

The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.

Answer:

I believe it is y-5=3(x+7)

Step-by-step explanation:

Point Slope form = y-y1=m(x-x1)

The reason that in the problem above it's x+7 is because 7 is a negative number, so we would do the opposite of subtraction, which is addition.

Answer:

45 or positive 45

Step-by-step explanation:

Answer: 45

Step-by-step explanation:

\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)

Answer:

y = 3/2x (This should be the correct answer do to the fact the slope is 3/2 and the points on here are 1, 1 which would most likely mean the y-intercept is 0. So we don't need to write the y-intercept on this equation.

If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.

Given that,

the value of sin x = 0.2

We have to find the value of sin(π - x).

We know the trigonometric rule that,

sin(π - x) = sin (x)

for any value of x.

So here whatever the value of x, the value of  sin(π - x) is sin (x) itself.

So here sin x = 0.2.

So, by the rule,

sin(π - x) = sin (x) = 0.2

Hence the value is 0.2.

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Answer:

12.5!!

Step-by-step explanation:

Answer:

It is 12.5% lesser

By completing the square, the vertex form of quadratic equation is (x - 1)² - 3.

In this question we find a quadratic equation in standard form, which must be modified into vertex form by completing the square, which consists in modifying part of the equation into a perfect square trinomial. The vertex form of the quadratic equation is:

y = C · (x - h)² + k

First, write the polynomial in standard form:

x² - 2 · x - 2

Second, use algebra properties to expand the expression:

(x² - 2 · x - 2) + 0

(x² - 2 · x - 2) + 3 - 3

(x² - 2 · x + 1) - 3

Third, use the definition of perfect square trinomial:

(x - 1)² - 3

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Answer:

-6

Step-by-step explanation:

(3 x 6) - (3 x 14)

= 18 - 42

= -24

-24/4

= -6