My brain activity drops down to a vegetative state when it comes to math so if any of y’all can lend a helping hand that’d be sensational

The bank discount ask yield on a Treasury bill with a face value of $10,000 and 87 days to maturity is 3.4%.

Treasury bills are short-term debt instruments issued by the government to raise funds. They are sold at a discount to their face value and mature at par. The bank discount yield is the annualized rate of return based on the discount price and face value. To calculate the yield, we use the formula:

Bank Discount Yield = (Discount / Face Value) * (360 / Days to Maturity)

In this case, the discount is the difference between the face value and the price at which the T-bill is selling. Let's assume the price is P. The discount is then calculated as: Discount = Face Value - P.

Substituting the given values, we have: Discount = $10,000 - P.

The bank discount yield is 3.4%, which means:

0.034 = (Discount / $10,000) * (360 / 87)

Solving for Discount, we find Discount ≈ $139.08.

Substituting this value back into the Discount formula, we can find the price P ≈ $9,860.92.

Therefore, the T-bill is selling at a price of approximately $9,860.92, and the bank discount ask yield is 3.4%.

Learn more about Treasury bills  here

brainly.com/question/30837260

#SPJ11

Answer:

\(\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}\)

Step-by-step explanation:

Given

See attachment for model

Required

Determine \(\frac{4}{7}\times\frac{13}{9}\) from the model

The model is represented by:

\(\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}\)

To get: \(\frac{4}{7}\times\frac{9}{9}\), we consider the first partition

The number of shaded box is 63 ---- this represents the denominator

The total boxes shaded at the bottom is 36 ---- this represents the numerator

So, we have:

\(\frac{4}{7}\times\frac{9}{9} = \frac{36}{63}\)

To get: \(\frac{4}{7}\times\frac{9}{9}\), we consider the first partition

The number of shaded box is 63 ---- this represents the denominator

The total boxes shaded at the bottom is 16 (do not count the gray boxes) ---- this represents the numerator

So, we have:

\(\frac{4}{7}\times\frac{4}{9} =\frac{16}{63}\)

The equation becomes:

\(\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}\)

\(\frac{4}{7}\times\frac{13}{9} = \frac{36}{63} + \frac{16}{63}\)

\(\frac{4}{7}\times\frac{13}{9} = \frac{36+16}{63}\)

\(\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}\)

Answer:

12.7 units

Step-by-step explanation:

Formula to get the distance between the two points \((x_1,y_1)\) and \((x_2,y_2)\) is,

d = \(\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)

From the picture attached,

Sherry is at the origin(0, 0) and going to the top (12, 4)

Distance between these points will be,

d = \(\sqrt{(12-0)^2+(4-0)^2}\)

d = \(\sqrt{160}\)

d = \(4\sqrt{10}\)

  ≈ 12.7 units

Therefore, Sherry has to travel 12.7 units on the ramp.

Answer:

6.1 square units

Step-by-step explanation:

Since the triangle was translated from one position to another position, the dimensions of the triangle have not changed. The pre-image and image are congruent.

area = base * height/2

The two sides forming a right angle can be used as the base and the height in the area formula.

BC = base = 2

AB = A'B' = height = 6.1

area = 2 * 6.1/2

area = 6.1 square units

Answer:

148.5 in^2

Step-by-step explanation:

First, get the area of the rectangle

A = 15*12

A = 180

Now the area of the triangle, with the base at 3.5

A = h b/2

A = 9 * 3.5/2

A = 15.75

Since you have 2 halves, add them together., 31.5

Substract 31.5 from 180

Answer:

180 in

Step-by-step explanation:

Because if you multiply 15×12 it gives you 180

The sum of the series ∑_(n=1)^∞ (-1)^n/(6^n n!) can be approximated to four decimal places is  0.0025.

To approximate the sum of the series, we can use the Maclaurin series expansion for e^(-x), which is given by:

e^(-x) = ∑_(n=0)^∞ (-1)^n (x^n)/(n!)

Substituting x = 6, we get:

e^(-6) = ∑_(n=0)^∞ (-1)^n (6^n)/(n!)

Rearranging the terms, we have:

e^(-6) - 1 = ∑_(n=1)^∞ (-1)^n (6^n)/(n!)

Therefore, the sum of the series can be approximated to four decimal places by evaluating e^(-6) - 1 and rounding to four decimal places. Using a calculator, we get:

e^(-6) - 1 ≈ 0.0024787522

Rounding to four decimal places, we get:

∑_(n=1)^∞ (-1)^n/(6^n n!) ≈ 0.0025

Therefore, the sum of the series can be approximated to four decimal places as 0.0025.

For more questions like Series click the link below:

https://brainly.com/question/28167344

#SPJ11

Answer:

3/5

Step-by-step explanation:

3/5 is .6 and 1/2 is .5

.6 is the bigger number.

The smallest possible perimeter of the backyard is 32 feet when it is in the shape of a square.

To find the smallest possible perimeter of a backyard with a given area, we need to determine the shape of the backyard that would minimize the perimeter.

For a given area, the shape with the smallest perimeter is a square. This is because a square has all sides equal in length, which means that it will have the smallest perimeter for a given area.

In this case, the area of the backyard is 64 square feet. Since a square has all sides equal, we can find the length of each side by taking the square root of the area.

Side length = √64 = 8 feet

Since a square has four equal sides, the perimeter of the backyard is calculated by multiplying the side length by 4.

Perimeter = 4 * 8 = 32 feet

Therefore, the smallest possible perimeter of the backyard is 32 feet when it is in the shape of a square.

Learn more about Perimeter at

https://brainly.com/question/397857

#SPJ4

The second airplane, with a height of 37,890.89 kilometers, has a higher altitude than the first airplane, which is at 37,890.52 kilometers.

To determine which airplane has a higher altitude, we can compare the decimal parts of the altitudes provided.

The first airplane is flying at a height of 37,890.52 kilometers, and the second airplane is flying at a height of 37,890.89 kilometers. Comparing the decimal parts, we can see that 0.52 is smaller than 0.89.

In the decimal system, as the digits move to the right of the decimal point, their value decreases. So, when comparing two numbers with the same whole part (37,890 in this case), the one with a higher decimal part will be greater.

Therefore, the second airplane, with a height of 37,890.89 kilometers, has a higher altitude than the first airplane, which is at 37,890.52 kilometers.

Learn more about statistics here:

https://brainly.com/question/15525560

#SPJ8

Answer:

because they all have 3 corners

Answer:

if im not mistaken, x = 13!!

A factorial anova includes only three or more independent variable(s). A factorial ANOVA involves analyzing the effects of two or more independent variables on a dependent variable. Therefore, it requires at least three independent variables to be included in the analysis. The correct answer is d.

Factorial ANOVA is a statistical analysis method used to examine the effects of multiple independent variables on a dependent variable. It involves examining the main effects of each independent variable, as well as the interactions between them.

A factorial ANOVA is typically used when researchers are interested in examining the combined effects of multiple variables on a single outcome. The method can be used in a wide range of fields, from psychology to biology to engineering, and is particularly useful in experimental research designs.

Overall, factorial ANOVA is a powerful tool for analysing complex data and uncovering the underlying relationships between variables. So, the correct answer is D).

To know more about factorial anova:

https://brainly.com/question/29854848

#SPJ4

Answer:

9

Step-by-step explanation:

Answer:

y=10x

y is the distance

x is the time

10 is the rate

85 = 10x

x = 8.5 minutes

Step-by-step explanation:

Choose two points from the graph:

(x1, y1) = (1, 10)

(x2, y2) = (2, 20)

Substitute these values into the slope formula:

m = (y2 - y1)/(x2 - x1)

m = (20 - 10) / (2 - 1) = 10/1 = 10

Slope = 10

where:

y = distance that a snail crawls (in inches)

x = time in minutes that a snail crawls

The slope = 10 is the rate of change; it represents an increase of 10 inches   in distance that a snail crawls for every minute that passes.

To determine how long will it take for the snail to crawl 85 inches, substitute its value into the equation to solve for x:

y = 10x

85 = 10x

Divide both sides by 10:

\(\frac{85}{10} = \frac{10x}{10}\)

x = 8.5

Therefore, it will take a snail 8.5 minutes to crawl for a distance of 85 inches.

The probability that an employee is sick more than two days in a three-month period is 0.1991.

Poisson distribution: Poisson distribution is a probability distribution which is used to measure the probability of a certain number of events occurring in a given time period if the events are rare and random.

The formula for calculating the Poisson distribution is: P(X=k) = (e^-λ * λ^k) / k!

Where, X = Random variable

k = Number of occurrences of the event

λ = Expected value of the event

e = Euler’s constant = 2.71828….

k! = Factorial of k

Mean of Poisson distribution: Given, Mean of the Poisson distribution is 1. Let X be the random variable which represents the number of days an employee is sick in a month.

∴ P(X=k) = (e^-λ * λ^k) / k!

The probability that an employee is sick more than two days in a three-month period is P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5) + .....

To calculate the probability, we need to find the value of λ for three months.

λ for three months = Mean for a month * Number of months∴ λ = 1 * 3 = 3

Now, we have λ = 3P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5) + .....= (e^-3 * 3^3) / 3! + (e^-3 * 3^4) / 4! + (e^-3 * 3^5) / 5! + .....= 0.1991

Hence, the probability that an employee is sick more than two days in a three-month period is 0.1991.

To know more about Poisson distribution visit :

https://brainly.com/question/30388228

#SPJ11

Answer:

Computer Science is more harder so I would go with Precalculus.

The function value sec45° will be √2.

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.

Given that, sec45°

The secant of an angle is the reciprocal of the cosine of the angle,

cos45° = 1/√2

Therefore, sec45° = √2

Hence, The function value sec45° will be √2.

For more references on trigonometric ratios, click;

https://brainly.com/question/6904750

#SPJ1

volume= 16/3, A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).

limits

z= 0 to z = 4-y-2x

y= 0 to y = 4- 2x

x= 0 to x= 2

volume

v= \(\int\limits^2_0 \int\limits^4_0 \int\limits^4_0 dzdydx\)

v= \(\int\limits^2_0 \int\limits^4_0 (4-y-2x) dydx\)

v= \(\int\limits^2_0 ( 4y- y^{2} / 2 - 2xy) ^4^-^2^x _0\)

dx= \(\int\limits^2_0 [ 16-8x - 16+ 4x^2 - 16x / 2 - 8x+ 4x^2 ] dx\)

v= \(\int\limits^2_0 [ 8+ 2x^2- 8x] dx\\\)

= [ 8x + 2x^3 / 3 - 8x^2 / 2 ] ^2_0

= [16+ 16/3- 16]

v= 16/3

Learn more about coordinate planes from brainly, visit: brainly.com/question/13611766

#SPJ4

Complete Question

Question: Sketch The Tetrahedron Enclosed By The Coordinate Planes And The Plane 2x+Y+Z=4. Use A Triple Integral To Find The Volume Of The tetrahedron

Answer:

a. El lado restante = 16 cm.

b. El lado restante = √7 cm

c. El lado restante = 6·√13 cm

Step-by-step explanation:

Debemos calcular la dimensión del otro lado del volante de la siguiente manera;

a. La diagonal = 34 cm

Longitud de un lado = 30 cm

Por lo tanto, según el teorema de Pitágoras, la longitud del lado restante viene dada por la siguiente relación

La longitud del lado restante = √ ((Diagonal) ² - (Longitud del lado dada) ²)

La longitud del lado restante = √ ((34) ² - (30) ²) = 16 cm

El lado restante = 16 cm.

b. La longitud del lado restante = √ ((Diagonal) ² - (Longitud del lado dada) ²)

La longitud del lado restante = √ ((4) ² - (3) ²) = √7 cm

El lado restante = √7 cm

C. La longitud del lado restante = √ ((Diagonal) ² - (Longitud del lado dada) ²)

La longitud del lado restante = √ ((18) ² - (12) ²) = 6·√13 cm

El lado restante = 6·√13 cm.

Answer:

x =5

Step-by-step explanation:

Tangents from same external point have equal length.

KJ = LJ

4x - 1 = 2x + 9

Add 1 to both sides

4x = 2x + 9 + 1

4x  = 2x + 10

Subtract '2x' from both side

4x - 2x = 10

2x= 10

Divide both sides by 2

x = 10/2

x = 5

Answer:

All real numbers are solutions

Step-by-step explanation:

2x + 8 = 2(x + 4)

~Simplify right side

2x + 8 = 2x + 8

~Subtract 8 to both sides

2x = 2x

~Divide 2 to both sides

0 = 0

Best of Luck!

Answer: the answer is infinite

Step-by-step explanation: so first you need to distribute the 2 into the () and you would get 2x+8 and since it is the same on both sides it cancles eachother out therefore there is infinite answers

If A coaxial cable with a = 0.25 mm, b = 2.50 mm, c = 3.30 mm, ϵr = 2.0, μr = 1, σc = 1.0 × 107 s/m, σ = 1.0 × 10−5 s/m, and f = 300 mhz then r,l,c, and g are approximately 0.001273 Ω/m, 0.622 μH/m, 67.17 pF/m, and 0.01339 S/m, respectively.

To find the values of r, l, c, and g for the given coaxial cable, we can use the following formulas:

r = ρ/2πaσc

l = μr/2π * ln(b/a)

c = 2πϵr/ln(b/a)

g = 2πaσ/ln(b/a)

where ρ is the resistivity of the cable's material.

To find ρ, we can use the formula: ρ = 1/σc

Substituting the given values, we get: ρ = 1/1.0 × 107 = 1.0 × 10^-7 Ωm

Substituting this value and the other given values into the formulas above, we get:

r = (1.0 × 10^-7)/(2π × 0.25 × 1.0 × 10^-5) ≈ 0.001273 Ω/m

l = 1/2π * ln(2.50/0.25) ≈ 0.622 μH/m

c = 2π × 2.0/ln(2.50/0.25) ≈ 67.17 pF/m

g = 2π × 0.25 × 1.0 × 10^-5/ln(2.50/0.25) ≈ 0.01339 S/m

Therefore, the values of r, l, c, and g for the given coaxial cable are approximately 0.001273 Ω/m, 0.622 μH/m, 67.17 pF/m, and 0.01339 S/m, respectively.

To learn more about “coaxial cable” refer to the https://brainly.com/question/16292628

#SPJ11

Answer:

736.05

Step-by-step explanation:699.00 x 5.3%=37.047

699.00 + 37.05 = 736.05

Answer:

$37.05

Step-by-step explanation:

$699 × 5.3%

We must convert 5.3% into just a decimal (not a percentage)

To do so, move the decimal to the left two places.

This would be 0.053

699 × 0.053 = 37.047

Although the exact number is 37.047, money is only paid within two decimals places, so let's round up to the nearest hundredth place

37.047 rounds up to 37.05

$37.05 is how much tax will be paid on the TV

Answer:

{ x | -7 ≤ x ≤ 4 }

Step-by-step explanation:

She can grow 4 plants because 10/2.5 is equal to 4. So, the answer is 4 plants. Hope this helped.