btb branliyest add me

The purchase price of 52-week T-bills with a denomination of $10,000 and an interest rate of 5% can be calculated using the formula for the present value of a future cash flow. The purchase price is $9,523.

To calculate the purchase price of the 52-week T-bills, we need to find the present value (PV) of the future cash flow. The formula for the present value is:

\(PV = FV / (1 + r)^t\)

Where:

PV is the present value (purchase price)

FV is the future value (denomination)

r is the interest rate (in decimal form)

t is the time period (in years)

In this case, the future value (FV) is $10,000, the interest rate (r) is 5% (or 0.05 in decimal form), and the time period (t) is 1 year.

Plugging in the values, we have:

\(PV = 10,000 / (1 + 0.05)^1\)

= 10,000 / 1.05

≈ 9,523

Therefore, the purchase price of the 52-week T-bills with a denomination of $10,000 and an interest rate of 5% is approximately $9,523. This means that to buy the T-bills, one would need to pay $9,523 upfront to receive the $10,000 denomination after 52 weeks.

Learn more about interest rate visit:

brainly.com/question/29294869

#SPJ11

Answer:4.62x10^13

Step-by-step explanation:

Equation of a line

The equation of a line in point-slope form is:

Answer:

301.719

Step-by-step explanation:

Area of a circle is 3.142 x r². Hope this helps!!!

Answer:

1/x+2

Step-by-step explanation:

1/x−2 + 4/4-X^2

​

Factor 4−x^2

1/x−2  +  4/(x−2)(−x−2)

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x−2 and (x−2)(−x−2) is (x−2)(−x−2).

Multiply :  1/x−2 TIMES −x−2/−x−2

−x−2/(x−2)(−x−2)  +  4/(x−2)(−x−2)

​Since  −x−2/(x−2)(−x−2) and  4/(x−2)(−x−2)  have the same denominator, add them by adding their numerators.

−x−2+4​/(x−2)(−x−2)

Combine like terms in −x−2+4.

−x+2/(x−2)(−x−2)

Extract the negative sign in −x+2.

−(x−2)/(x−2)(−x−2)

Cancel out x−2 in both numerator and denominator.

1/X-2

Answer:

Step-by-step explanation:

the initial population is 500

after it grows 5% in 1  year we will have 500 * 1.05 ^1  because

500 represents 100%  but

after 1 year we have 105% of the 500 people or 500*1.05 = 500 * 1.05 ^1

after 2 year we have 105% of 500*1.05 or 500*1.05*1.05 = 500 * 1.05 ^2

if we generalize

after x year we have 500 * 1.05 ^x

the population is an exponential function of time because the number of population depends on the number of years

Answer:

Two years in a row: 2.25%

Three years in a row: 0.3375%

Step-by-step explanation:

For two years in a row:  

15/100*15/100

225/10000=

0.0225

0.0225*100 (for percentage)= 2.25%

For three years in a row:  

15/100*15/100*15/100

3375/1000000=

0.003375

0.003375*100 (for percentage)=0.3375%

Using the system of inequalities y ≥ 0, x ≥ 0, y ≤ -2x + 4 the minimum value of f(x,y) = 3x + y for the feasible region is d) 0.

We need to find the minimum value of the function

f(x,y) = 3x + y

we can use Lagrange multipliers method defining

F(x,y) = f(x,y) - λx g(x,y)  , where g(x,y) = x²+36 x y² - 1, such that

Fx(x,y) = fx(x,y) - λx gx(x,y) = 0

Fy(x,y) = fy(x,y) - λx gy(x,y) = 0

g(x,y)=0

where the sub-indices x and y represent the partial derivatives with respect to x and y, then

fx(x,y) - λx gx(x,y) = 3 - λx(2x) = 0 → x =3/(2xλ)

fy(x,y) - λx gy(x,y) = 1 - λx(36x2xy) = 0 → y =1/(72xλ)

x²+36xy² - 1 = 0 → [3/(2xλ)]²+36*[1/(72xλ)]² - 1 = 0

therefore, Using the system of inequalities y ≥ 0, x ≥ 0, y ≤ -2x + 4 the minimum value of f(x,y) = 3x + y for the feasible region is d) 0.

To learn more about inequalities, click here:

brainly.com/question/30228778

#SPJ4

Answer:

n = -7-5i

Step-by-step explanation:

This is the inverse property of addition

According to the information each point of the original rectangle has moved 2 units to the left and 4 units down to reach its new position.

Using the transformation rule (x, y) → (x - 2, y - 4), we can apply it to each of the four vertices of the rectangle:

The transformed rectangle has vertices at A' (0, -3), B' (4, -3), C' (4, -6), and D' (0, -6).

Description of the transformation:

The rule (x, y) → (x - 2, y - 4) represents a translation of 2 units to the left and 4 units down. This means that each point of the original rectangle has moved 2 units to the left and 4 units down to reach its new position in the transformed rectangle. Therefore, the transformation is a translation.

Learn more about rectangles in: https://brainly.com/question/29123947

#SPJ1

The interval of convergence of the series ∑a_n x^n is given by |x|∞} |a_{n+1} nx^n| / |a_n x^(n-1)|.We can write L as L = lim_{n->∞} |a_{n+1}| / |a_n| x, where x is the same in the numerator and denominator. Since the series ∑a_n x^n converges for |x|<2, we have lim_{n->∞} |a_{n+1}| / |a_n| = L' < 2. Thus, L = L' x.

For the series to converge, we need L < 1, which gives |x| < 1 / L'. Thus, the radius of convergence of the series ∑a_n nx^(n-1) is 1 / L'.Since the radius of convergence is the same as that of the series ∑a_n x^n, we get L' = 2. Thus, the radius of convergence of the series ∑a_n nx^(n-1) is 1 / L' = 1/2. Thus, the interval of convergence of the series ∑a_n nx^(n-1) is |x| < 1/2. However, since the interval of convergence of the series ∑a_n x^n is |x| < 2, we have |nx^(n-1)| = n|x^(n-1)| <= 2n for |x|<=1. Thus, we have |a_n nx^(n-1)| <= |a_n| 2n for |x|<=1, which shows that the series converges for x=-1, and thus for -1<=x<=1. Also, we have |a_n nx^(n-1)| <= |a_n| 2^n for |x|<=2, which shows that the series converges for x=2, and thus for -2<=x<=2. Thus, the possible interval of convergence of the series ∑a_n nx^(n-1) is [-2, 2].

The possible interval of convergence of the series ∑a_n nx^(n-1) is [-2, 2].

To learn more about convergence visit:

brainly.com/question/28202684

#SPJ11

We will usePythagorean theorem

a^2+b^2=C^2

Lets substitute and solve

2^2+b^2=3^2

4+b^2=9 lets subtract 4

b^2=5

b=√5 or 2.2360679775

The sound intensity level should be decreased by 2 dB to carry the studio into consistency with the rules.

A decrease of 2 dB can be accomplished by one or the other by closing down a portion of the machines (since the sound intensity level declines by 6 dB for each splitting of the sound power) or by introducing sound-sealing materials.

Thus, to carry the studio consistent with the rules, 16 machines would need to be closed down.

It's vital to follow well-being and security rules in the working environment to guarantee the prosperity of representatives and forestall hearing harm. Decreasing the number of machines or introducing soundproofing materials can bring the studio into consistency.

Learn more about sound intensity levels:

https://brainly.com/question/30101270

#SPJ4

Answer:

converting to minutes

Step-by-step explanation:

3*60+20+40+2.75*60=405 min = 6 hours 45 minutes

Answer:

Step-by-step explanation:

Number of leashes Bob can make in 2 hours = 7

Number of leashes Bob can make in 1 hour = 7÷2 = 3.5

Let, Bob takes total x hours.

Number of leashes Nina can make in 1 hour = 4

Let, Nina takes total x hours.

∴  The equation that can be used to find the number of hours it takes bob and Nina to make 60 leashes is given by-

3.5x+4x = 60.

7.5x = 60

This equation can be used to find the number of hours taken by Bob and Nina by putting different values of x and y which satisfies above equation.

Answer:

It is 9√3 and in decimal form it's 15.58845726

Step-by-step explanation:

Answer:692.82 ft

Step-by-step explanation:

Given

Height of tower is \(h=100\ ft\)

Tower is mounted at the top of \(H=1100\ ft\) hill

angle of elevation \(\theta =60^{\circ}\)

Using figure we can write

\(\tan \theta =\dfrac{h+H}{\text{Distance}}\)

\(\tan 60^{\circ}=\dfrac{100+1100}{\text{Distance}}\)

\(Distance =\frac{1200}{\tan 60^{\circ}}\)

\(Distance=\frac{1200}{\sqrt{3}}\)

\(Distance=692.82\ ft\)

By using a trigonometric relation we will see that the height of the kite is 8.82 feet above the point where you hold the line.

We can view this as a right triangle, where the hypotenuse has a measure of 15 feet, we know one angle that measures 36°, and the opposite cathetus to that angle is x, the height we want to find.

We want to get the value of x, which is the opposite cathetus to the given angle, then we can use the trigonometric relation:

sin(a) = (opposite cathetus)/(hypotenuse)

Replacing what we know we will get:

sin(36°) = x/15ft

Solving this for x we get:

x = sin(36°)*15ft = 8.82ft

The height of the kite is 8.82 feet.

Learn more about right triangles:

https://brainly.com/question/2217700

#SPJ1

We will have the following:

So, the point (2, -1) is one of the many solutions.

Answer: 1¹/₂ batches

Step-by-step explanation:

Lyndsay is making cookies and 1/3 cup of sugar can make a batch of cookies.

This means that ratio wise, the following is true:

1 batch        :         1/3 cups of sugar

If she had only 1/2 cups however, the number of batches she could make using direct proportion is:

1          :        1/3

x         :         1/2

1/3x = 1/2

x = 1/2 ÷ 1/3

x = 1/2 * 3/1

x = 3/2

x = 1 1/2 batches

x= 1¹/₂ batches

Answer:

74

Step-by-step explanation:

All you have to do it first add f(x)+ g(x) and then plug in x=5.

(f+g) = f(x) + g(x)

= (7x- 2) + (9x-4)

= 7x - 2 + 9x - 4

= 16x - 6

(f + g)(5) = 16(5) - 6

= 80 - 6

= 74

Answer:

A

Step-by-step explanation:

I don't think you have the right equation down, so this more of an educated guess than an actual direct answer

Answer:

Any number greater than 3

Step-by-step explanation:

In the expression  H0: p = p0, The symbol p0 represents the hypothetical value of population proportion p when the null hypothesis is true.

Hypothesis tests are conducted on population parameters, this implies that the beginning of the test is the identification of a statement about the population parameter, which generates a hypothesis. So, it is important to know how to identify hypotheses that have already been written with statistical symbols.

A null hypothesis is a type of statistical hypothesis that proposes that no statistical significance exists in a set of given observations. Hypothesis testing is used to assess the credibility of a hypothesis by using sample data. Sometimes referred to simply as the "null," it is represented as H0.

Learn more about Hypothesis test here :-

https://brainly.com/question/30588452

#SPJ4

Answer:

3 times

Step-by-step explanation:

if the surface area of the job is 3 times what you had before, you will need 3 times the paint.

Answer:

b=4

Step-by-step explanation:

3(b + 2) - 3= 15

3b + 6 - 3 = 15

3b + 3 = 15

3b = 12

b = 4

According to the question, the total amount of rope needed to extend the two stakes supporting the tree in trigonometry can be determined by using the functions sine and cosine.

Explain trigonometric function with example.

If the rope can be tied with the tree trunk then the staked rope makes an angle with respect to the ground. And it can be calculated with the help of the trigonometric functions. And it states that the ratio of the length of the opposite sides and the hypotenuse of the right angle triangle. And the result of the ratio is sine function.

Therefore, the total amount of two ropes needed so that it extends to the two stakes of the supporting trees.

To learn more about the trigonometric function from the given link:

https://brainly.com/question/7331447

#SPJ4

Answer:

this is a positive correlation

Step-by-step explanation:

it is going up so its positive