21 dollars
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The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Answer:

36

Step-by-step explanation:

81 x (4/9) =

36

Answer:

slope = 1/2

Step-by-step explanation:

we rise 1 and run 2 which gives us y=1/2x

Young adults might value credit in case of an emergency for several reasons. Firstly, credit provides financial flexibility, allowing them to access funds quickly when unexpected expenses arise.

This can be essential for covering costs related to medical emergencies, car repairs, or other unforeseen events that may strain their limited savings. Secondly, young adults often have less established financial safety nets than older individuals. They may not have significant savings, insurance policies, or support from family members to fall back on during emergencies. Credit, in this case, acts as a temporary financial cushion, enabling them to manage immediate needs without resorting to high-interest loans or further jeopardizing their financial stability.

Thirdly, responsible use of credit can help young adults build a positive credit history. Demonstrating responsible borrowing and repayment habits will make it easier for them to access more favorable credit terms in the future, such as lower interest rates or higher credit limits. This can prove valuable when making significant purchases, like buying a home or financing higher education.

Lastly, having access to credit can also provide young adults with a sense of financial independence and empowerment. Knowing they have the means to handle emergencies without relying on others can boost their confidence in managing personal finances and help them make more informed financial decisions as they navigate adulthood.

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The linear function that relates y to x is given as follows:

y = -0.5x + 57.

The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the table, when x = 0, y = 57, hence the intercept b is given as follows:

b = 57.

When x increases by 10, y decays by 5, hence the slope m is given as follows:

m = -5/10

m = -0.5.

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Given:

10 cm

7 cm

V =

8 cm

cm³

6 cm

Required :

To calculate the volume triangular pyramid

Explanation:

The total interest for the loan is $4,550. This means that over the course of 5 years, you will pay back the original loan amount of $13,000 plus $4,550 in interest for a total of $17,550.

To calculate the total interest for this loan, we need to use the simple interest formula:
Monthly EMI formula :
Interest = Principal x Rate x Time

In this case, the principal (amount borrowed) is $13,000, the rate is 7%, and the time is 5 years.

So,

Interest = $13,000 x 0.07 x 5

Interest = $4,550

It's important to keep in mind that this calculation assumes that the interest rate remains constant over the entire 5-year period.

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Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

159 lies in the second quadrant hence, csc - 159° is P, sec - 159° is, N and cot - 159°is N negative.

All functions are positive in the first quadrant, only sin and cosec are positive in the second, tan and cot are positive in the third, and only cos and sec are positive in the fourth.

For positive value type P and for negative value type N.

159 lies in the second quadrant.

Here, csc - 159° is positive in second quadrant hence, csc -159 is positive. P

sec - 159° is, is negative in second quadrant hence, N.

and cot - 159° is negative in second quadrant hence, N.

159 lies in the second quadrant hence, csc - 159° is P, sec - 159° is, N and cot - 159°is N.

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Answer:

6.24 x \(10^{-7}\)

Step-by-step explanation:

0.000000624 in scientific notation is 6.24 x \(10^{-7}\)

Answer:

Step-by-step explanation:

The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.

The required value of trigonometric ratios is,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

We know that,

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Therefore,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

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Answer:

D

Step-by-step explanation:

Because it is x - 7, we know it has a phase shift of + 7 to the right.

We also know that since +1 is in the equation, there is a vertical shift of + 1.

Hope this helps

Answer:

it will be choice 3

Step-by-step explanation:

as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side

We have to solve this inequality for x:

Answer: x>0

The probability that a student who attends the first session also attends the second session is 1/3

We can approach this problem by using conditional probability.

Let's use the notation "S1" to represent the event that a student attends the first session, and "S2" to represent the event that a student attends the second session.

Then we can use the formula for conditional probability:

P(S2 | S1) = P(S1 and S2) / P(S1)

We know that P(S1) = 0.6, since 60% of students attend the first session. We also know that P(S1 and S2) = 0.2, since 20% of students attend both sessions.

So we can plug in these values and solve for P(S2 | S1):

P(S2 | S1) = 0.2 / 0.6

P(S2 | S1) = 1/3

Therefore, the probability that a student who attends is 1/3 or approximately 0.333.

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Answer:  In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other.

A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

Step-by-step explanation:

A = {1, 2, 5, 7}

B = {3, 4, 6, 7}

C = {0, 5, 8, 9}

A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

The ordered pair that solves the system of equation is (0, 0).

To solve this system, we can substitute the first equation into the second equation to eliminate y:

x = 2x

Solving for x, we get x = 0.

Substituting x = 0 into the first equation, we get y = 0.

Therefore, the ordered pair that solves the system is (0, 0).

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The reason that justifies the second statement "Angle L is congruent to angle T" is:

In a parallelogram, opposite angles are congruent.

Option C is the correct answer.

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

Parallelogram LENS and parallelogram NGTH

Now,

Parallelogram LENS:

∠L = ∠N _____(1)

Opposite angles are equal.

Parallelogram NGTH:

∠N = ∠T ______(2)

Opposite angles are equal.

Now,

∠ENS = ∠GNH

Vertical angles are equal.

So,

From (1) and (2).

∠L = ∠T

Angle L is congruent to angle T

Thus,

Angle L is congruent to angle T

[ In a parallelogram, opposite angles are congruent ].

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Answer:

6

Step-by-step explanation:

Answer:

3 cans cost 2

1 can cost 2/3                    

 I wrote 2/3 to make it easier so you don't have to write in cents

2/3 can be spend to buy 1 can

12 can be spend to buy (2/3)(12) can

(2/3)(12)=8 cans

So the answer is 8 cans

You can buy 8 cans of tuna with 12 dollars

The probability that the arrival time between vehicles is 12 seconds or less found using exponential distribution is 0.6306.

What is meant by exponential distribution?

The exponential distribution is a continuous probability distribution used in probability theory and statistics that frequently addresses the amount of time until a given event occurs. Events occur continually, independently, and at a steady average pace during this process. The crucial characteristic of the exponential distribution is that it has no memory. Either more little values or fewer larger values can make up the exponential random variable. 

Given,

Mean = 12s

Mean = 1/λ = 12

λ = 1/12 = 0.083

Now we have to find CDF at 12s.

The probability that an observation from an exponential distribution, with the scale parameter, is smaller than or equal to x is returned by the CDF function for the exponential distribution.

CDF = F(x) = \(1- e^{-\lambda\*x}\)

When x = 12

F(12) = \(1- e^{-0.083*12}\) = 0.6306

Therefore the probability that the arrival time between vehicles is 12 seconds or less found using exponential distribution is 0.6306.

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Answer:

I think the best is: Year Population 1990 10,350 1995 10,750 2000 11,150 2005 11,500 2010 11,650.

Step-by-step explanation:

It shows the population of each year.

Hope this helps...

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Answer:

line graph

Step-by-step explanation:

edge 2022

This is the answer.

Hope it helps!!

Answer:

\(120.\sqrt{2}.\sqrt[3]{3}\)

Step-by-step explanation:

\(\sqrt{32} = \sqrt{16.2} =\sqrt{4^{2}.2} = 4\sqrt{2}\)

\(\sqrt[3]{81} =\sqrt[3]{27.3} =\sqrt[3]{3^{3}.3 }=3\sqrt[3]{3}\)

∴\(5\sqrt{32}.2\sqrt[3]{81} =5. [4\sqrt{2}].2.[3\sqrt[3]{3} ]\)

                   \(=120.\sqrt{2}.\sqrt[3]{3}\)

The best chart to represents changes in the stock portfolio over the last 12 months by financial advisor is shown by option 1. a line chart.

The best type of chart to use to show how a stock portfolio has changed over time is a line chart.

A line chart can show the trend in the portfolio's value over the 12-month period.

Which is useful for identifying patterns and changes in performance.

A histogram is used to show the distribution of a single variable.

While a pie chart is used to show the proportion of a whole made up by different parts.

A bar chart is useful for comparing different categories or groups.

However, for tracking changes in a single variable over time, a line chart is the most appropriate choice.

Therefore, the best chart for financial advisor to show changes in stock portfolio over the last 12 months is given by option 1. a line chart.

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Answer:

\(\frac{3}{52}\)

Step-by-step explanation:

Hope this helps! Ask me anything if you have any questions! I'm free to help you anytime!

Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

Answer:

exponential

Step-by-step explanation:

just took the test

Answer:

\(y = {x}^{2} - 4\)

Step-by-step explanation:

The roots of this graph are -2 and 2. So

\(y = {x}^{2} - 4\)