HELP ASAP
Find the value of y

Answer:

You must get a 89%

Step-by-step explanation:

81+89=170

170/2= 85%

Given:

What is the interest earned when $46,230 is invested for 9 years at 7.8% p.a?

To find:

The interest

Solution:

Step-by-step explanation:

the ratio is 30/21600 = 3/2160 = 1/720

that means for every degree the hour hand moves, the second hand does 2 full rotations (2×360°).

h = s×30/21600 = s/720

FYI :

as there are 12 hours on a clock, every hour means 360/12 = 30° rotation for the hour hand.

so, for each hour the second hand moves 21600°.

that means 21600/360 = 60 full rotations.

that means one rotation of the second hand is 1 minute.

so, the second hand is truly a second hand (counting the seconds).

60 seconds in a minute (a full rotation by the second hand), that means each second corresponds to 360/60 = 6° rotation of the second hand.

The area of the resulting shape is 90 sq meters

The cylinder represents the given parameter

Such that we have the following dimensions

Radius = 6 cm

Height = 15 cm

When the solid cylinder is cut vertically through its center, we have a rectangle with the following dimensions

Length = 6 cm

Width = 15 cm

The area is then calculated as

Area = Length * Width

So, we have

Area = 6 * 15

Evaluate

Area = 90

Hence, the area is 90 square meters

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Answer:

We can start by simplifying each parentheses separately and then adding the resulting expressions:

(2^4 – 5^3 – 7) + (−5^5 − 5^2 + 9 + 17)

= (16 - 125 - 7) + (-3125 - 25 + 9 + 17) (using the fact that 2^4 = 16 and 5^3 = 125)

= (-116) + (-3124) (combining like terms)

= -3240

Therefore, the answer is -3240. To express this number in standard form, we write it as:

-3.24 x 10^3

The negative sign indicates that the number is less than zero, and the 3.24 tells us the value of the number. The "x 10^3" part means that we need to multiply 3.24 by 10^3 (which is 1000) to get the actual value of the number:

-3.24 x 10^3 = -3.24 * 1000 = -3240

So, the answer in standard form is -3.24 x 10^3.

Answer:

I think question #1 is C

Question #2 is C

and Question #3 is A

The answer of decimal number that has the specified place values is 964.8.

To write the decimal number, we need to understand the place value of each digit.

The place values are as follows:

- 9 hundreds = 900
- 6 tens = 60
- 4 ones = 4
- 8 tenths = 0.8
- 0 hundredths = 0.00

To write the decimal number, we add the place values together:

900 + 60 + 4 + 0.8 + 0.00 = 964.8

Therefore, the decimal number that has the specified place values is 964.8.

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The slope of the line as shown in the image attached below is: 2/3.

The slope of a line represents the ratio of the change in y (vertical) to the change in x (horizontal). It is a measure of the steepness of the line and tells us how much the y-value changes for each unit change in the x-value.

It is given as:

Slope (m) = rise/run.

The rise (blue line) = 2 units

The run (red line) = 3 units

Slope (m) = -2/3

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The expanded form of the expression as a sum constant multiple of logarithms is:

log₄(xy⁵z⁴) = log₄(x) + 5log₄(y) + 4log₄(z)

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

According to the problem, we will use some of the basic logarithmic properties,

Given expression,

log₄(xy⁵z⁴)

We can use the properties of logarithms to expand the expression:

log₄(xy⁵z⁴) = log₄(x) + log₄(y⁵) + log₄(z⁴)

Using the properties of logarithms, we can separate the terms inside the logarithm as separate logarithms, where the multiplication of variables is represented as a sum of logarithms.

So, we have:

log₄(xy⁵z⁴) = log₄(x) + 5log₄(y) + 4log₄(z)

Therefore, the expanded form of the expression as a sum constant multiple of logarithms is:

log₄(xy⁵z⁴) = log₄(x) + 5log₄(y) + 4log₄(z)

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The remainder when -233 is divided by 11 is 9. To find the remainder when a is divided by b, we can use the formula:

r = a % b

Where % is the modulo operator, which gives the remainder when one number is divided by another.

In this case, we have a = -233 and b = 11. Plugging these values into the formula, we get:

r = -233 % 11

Using a calculator or doing the division by hand, we find that the remainder is -2. However, since we are looking for the positive remainder, we can add b to this value to get the correct answer:

r = -2 + 11 = 9

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Answer:

Step-by-step explanation:

c

Answer:E

Step-by-step explanation:

The value of 'x' and 'y' in the given circle and triangle are 30 and 12 respectively.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

From the given information we can form,

x² = 18² + 24². (As tangent is always perpendicular to the radius).

x² = 900.

x = 30.

Now, y = x - radius.

y = 30 - 18.

y = 12.

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Hannah will have $681.98 in her savings account after 3 years at 2.75% simple annual interest.

To calculate the amount of money Hannah will have in the account after 3 years, we can use the formula for simple interest:

Simple interest = principal x rate x time

where:

principal is the amount of money initially deposited

rate is the annual interest rate (expressed as a decimal)

time is the number of years

In this case, the principal is $630, the rate is 2.75% (or 0.0275 as a decimal), and the time is 3 years. Plugging these values into the formula, we get:

Simple interest = $630 x 0.0275 x 3 = $51.98

This means that after 3 years, Hannah will have earned $51.98 in simple interest. To find the total amount of money in her account, we need to add this interest to the original principal:

Total amount = principal + simple interest

Total amount = $630 + $51.98 = $681.98

Therefore, after 3 years Hannah will be having $681.98 in her account after 3 years at 2.75% simple annual interest.

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The complete question is :

Hannah deposits $630 in a savings account at 2. 75% simple annual interest. How much money will she have in the account after 3 years?

The derivative of √(x + 3) / (x + 1) with respect to x is:

[(√(x + 3)) / (x + 1)]' = [1 - (√(x + 3))  (x + 1)] / [2(x + 1)²  √(x + 3)]

To differentiate √(x + 3) / (x + 1) with respect to x, we need to use the quotient rule:

(f(x) / g(x))' = (f'(x) * g(x) - f(x) * g'(x)) / [g(x)]²

where f(x) = √(x + 3) and g(x) = x + 1.

Now, let's differentiate each term:

f'(x) = (1/2) * (x + 3)^(-1/2) * 1

= 1 / [2 * √(x + 3)]

g'(x) = 1

Substituting into the quotient rule formula:

[(√(x + 3)) / (x + 1)]' = [(1 / [2 * √(x + 3)]) * (x + 1) - (√(x + 3)) * 1] / [(x + 1)²]

Simplifying the expression:

[(√(x + 3)) / (x + 1)]' = [1 - (√(x + 3)) * (x + 1)] / [2 * (x + 1)² * √(x + 3)]

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$600

B. $600 per week

For Activity 2, the Normal Cost is $1,000 and the Crash Cost is $4,600, so the Crash cost per week is $60.

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The percentage of yellow paint that has to be used is given as 0.45

The amount of seafoam paint is given as 1.5 quartz

The percentage of yellow paint in the seafoam paint is 30 percent

Hence the amount that would be in it that would be made of yellow paint is given as

1.5 x 30%

1.5 x 0.30

= 0.45

Hence we would conclude by saying that the amount of yellow paint that has to be used in order to make the paint should be 0.45

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Curt and Melanie are mixing blue and yellow paint to make seafoam green paint. 1.5 quarts of seafoam paint is made of 70% blue, 30% yellow. Use the percent equation to find how much yellow paint they should use.

Answer: D

Step-by-step explanation: Disregard the $ and solve algebraically.

[tex]4x+36\leq 52[/tex]

[tex]4x\leq 52-36[/tex]

[tex]4x\leq 16[/tex]

[tex]x\leq 4[/tex]

Answer: Choice D is the correct answer :)

Step-by-step explanation:

By answering the above question, we may state that We are unable to solve this equation for both l and w since it has only one solution and two unknowns.

Mathematicians research numbers, their variants, equations, forms, and related structures, as well as possible locations for these things. The relationship between a group of inputs, each of which has a corresponding output, is referred to as a function. Every input contributes to a single, distinct output in a connection between inputs and outputs known as a function. A domain, codomain, or scope is assigned to each function. Often, functions are denoted with the letter f. (x). The key is an x. There are four main categories of accessible functions: on functions, one-to-one capabilities, so many capabilities, in capabilities, and on functions.

We are aware of the frame's 42-inch circumference but are unaware of the picture's or frame's shape, as well as if the frame's breadth fluctuates or is constant.

With the assumption that the frame is rectangular and has a constant width, we might create the equation shown below:

2l + 2w + 4x = 42

where L stands for the picture's length, W for its width, and X for the frame's width (assuming there are four sides with the same width).

We are unable to solve this equation for both l and w since it has only one solution and two unknowns.

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[tex]\sqrt{26^{2} - 24^{2}} = \sqrt{(26-24)(26+24)} = \sqrt{2(50)} = \sqrt{100} = 10 \\[/tex]

[tex]x = \sqrt{10^{2} - 6^{2}} = \sqrt{100 -36} = \sqrt{64} = 8 \\[/tex]

[tex]\implies \bf x = 8[/tex]

Answer:

8

Step-by-step explanation:

Begin with the bigger right angle triangle

Hypotenuse is 26, second side is 24, third side is unknown (a)

26² - 24² = a²

676 - 576 =a²

100 = a²

Therefore a is 10

Now use the value of a which is 10 to solve the smaller triangle

Hypotenuse is 10, one side is 6, third side x is unknown

10²- 6²= x²

100 - 36 =x²

64 =x²

X is 8

Using the unitary method, we found that the equivalent amount of 750 US Dollars in Egyptian pounds is 1100 Egyptian pounds.

The unitary method is a strategy for problem-solving that involves first determining the value of a single unit and then multiplying that value to determine the required value. Therefore, the goal of this method is to establish values in relation to a single unit. Always write the things that need to be calculated on the right side and the things that are known on the left side to simplify things. The unitary approach must be applied whenever we need to determine the ratio of one quantity to another.

Given,

 The amount of money  in US dollars = 750 US Dollars

The conversion to Egyptian pounds can be done using the unitary method.

1 usd = 18.48 Egyptian pounds

The unitary method can be used to convert single units to multiple units.

So,

750 usd = 750 * 18.48 = 1110 Egyptian pounds.

Therefore using the unitary method, we found that the equivalent amount of 750 US Dollars in Egyptian pounds is 1100 Egyptian pounds.

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The probability that at least 3 of the selected human resource managers say job applicants should follow up within two weeks is 0.55.

From the question, we are to determine the probability that at least 3 of the managers say job applicants should follow up within two weeks

This problem requires the use of the binomial probability distribution. We are given that the probability of success (a human resource manager saying that job applicants should follow up within two weeks) is p = 0.57. The number of trials is n = 6.

To find the probability that at least 3 of the selected human resource managers say job applicants should follow up within two weeks, we need to find the sum of the probabilities of 3, 4, 5, and 6 successes. We can use the binomial probability formula to find these individual probabilities and add them up:

P(X ≥ 3) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

Where X is the number of successes.

Using the binomial probability formula, we get:

P(X = k) = (n Ck) * p^k * (1-p)^(n-k)

Where (n Ck) = n! / (k! * (n-k)!)

So,

P(X = 3) = (6 C3) * 0.57^3 * (1-0.57)^(6-3) = 0.307

P(X = 4) = (6 C4) * 0.57^4 * (1-0.57)^(6-4) = 0.185

P(X = 5) = (6 C 5) * 0.57^5 * (1-0.57)^(6-5) = 0.051

P(X = 6) = (6 C6) * 0.57^6 * (1-0.57)^(6-6) = 0.007

So,

P(X ≥ 3) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.307 + 0.185 + 0.051 + 0.007 = 0.55

Hence, the probability is 0.55.

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The point (7,8) is located at the intersection of the vertical line x=7 and the horizontal line y=8.

The equation x-7=0 can be solved to find the value of x. To do this, we can add 7 to both sides of the equation to isolate the variable on one side of the equation. This gives us: x-7+7=0+7 or x=7. Now that we know the value of x, we can plot the point on the line with the y-coordinate y=8. To do this, we can start at the origin (0,0) and move 7 units to the right along the x-axis to the point (7,0). Then, we can move 8 units up along the y-axis to the point (7,8). This is the point that corresponds to the equation x-7=0 with the y-coordinate y=8. The plot of this point is shown below:



As shown in the plot above, the point (7,8) is located at the intersection of the vertical line x=7 and the horizontal line y=8.

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Answer:

x = -2

x = 3

Step-by-step explanation:

Answer: See attached.

Step-by-step explanation:

     The first one is incorrect because this equation shows 5 / 2, not 2/5.

     The second one is correct. 7/4 = 7/4.

     The third one is also correct. 12/4 = 12/4.

     It can help to rewrite both sides of the equation in the same format to make it easier to compare.

For the airplane, we have v = -453.01, 79.88. Similarly, for the wind, we have w = -75.18, -27.36.

The actual speed would be 530.79 mph.

The actual ground speed and direction of the airplane are 530.79 mph and 174.32 deg, respectively.

The component form of the velocity of the airplane can be found by using the formula:

v = r < cos theta, sin theta >, where r is the speed and theta is the bearing. For the airplane, we have v = 460 < cos 170, sin 170 > = <-453.01, 79.88>. Similarly, for the wind, we have w = 80 < cos 200, sin 200 > = <-75.18, -27.36>.

To find the actual ground speed and direction of the airplane, we need to add the velocity vector of the airplane and the wind vector. This gives us the velocity vector = v + w = <-453.01, 79.88> + <-75.18, -27.36> = <-528.19, 52.52>.

The actual speed can be found by taking the magnitude of the velocity vector, which is given by |v+w| = sqrt((-528.19)^2 + (52.52)^2) = 530.79 mph.

The actual direction can be found by using the formula theta = arctan(y/x), where x and y are the x and y components of the velocity vector. In this case, we have theta = arctan(52.52/-528.19) = -5.68 deg. However, since the velocity vector is in the third quadrant, we need to add 180 deg to get the actual direction, which is 180 + (-5.68) = 174.32 deg.

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(1)

21m^2 ÷ 7m = 3m

The quotient is 3m and there is no remainder.

(3)

(-48p^4) ÷ (-9p^2) = 5p^2 + (3p^2/(-9p^2)) = 5p^2 - (1/3)

The quotient is 5p^2 - (1/3) and the remainder is -(1/3).

(5)

(5x^3 - 3x^2) ÷ x^2 = 5x - 3

The quotient is 5x - 3 and there is no remainder.

(7)

(2y^3 + 4y^2 + 3) ÷ 2y^2 = y + (y+3)/(2y^2) = y + (3)

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The original list price for the product was $487.09.

To find the original list price for the product, we need to reverse the discounts and markup that were applied to it. Here is a step-by-step explanation:

Therefore, the original list price for the product was $487.09.

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The line of intersection of the 3x+2y+z=−1  and 2x−y+4z planes is the set of all points (4t-7s-11, t, s), where t and s are parameters. And The line of intersection of the 4x+y+z=0 and 2x−y+3z=2 planes is the set of all points ((-3/6)t+(1/6)s-(1/3), t, s), where t and s are parameters.

The line of intersection of the given planes can be found by solving the system of equations formed by the equations of the planes.

For Exercise 45, we have the system of equations:
3x+2y+z=−1
2x−y+4z=5

To solve this system, we can use the elimination method. We can multiply the second equation by 2 and subtract it from the first equation to eliminate the x variable:

3x+2y+z=−1
-(4x-2y+8z=10)
______________
-x+4y-7z=-11

Now we can express one variable in terms of the other two variables. For example, we can solve for x in terms of y and z:

-x+4y-7z=-11
x=4y-7z-11

The line of intersection of the given planes is the set of all points (x, y, z) that satisfy this equation. We can write the equation of the line in parametric form by letting y=t and z=s:

x=4t-7s-11
y=t
z=s

The line of intersection of the given planes is the set of all points (4t-7s-11, t, s), where t and s are parameters.

For Exercise 46, we have the system of equations:
4x+y+z=0
2x−y+3z=2

We can use the elimination method again to solve this system. We can multiply the first equation by 2 and subtract the second equation from it to eliminate the x variable:

8x+2y+2z=0
-(2x−y+3z=2)
______________
6x+3y-z=-2

Now we can express one variable in terms of the other two variables. For example, we can solve for x in terms of y and z:

6x+3y-z=-2
6x=-3y+z-2
x=(-3/6)y+(1/6)z-(1/3)

The line of intersection of the given planes is the set of all points (x, y, z) that satisfy this equation. We can write the equation of the line in parametric form by letting y=t and z=s:

x=(-3/6)t+(1/6)s-(1/3)
y=t
z=s

The line of intersection of the given planes is the set of all points ((-3/6)t+(1/6)s-(1/3), t, s), where t and s are parameters.

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If the two rates remain the same, the number of hours needed for the values of the two stocks to be equal is 2.17 hours.

The slope, rate of change, or change in throughout the change in of a line determines its rate of change. A graph's slope triangle or 2 points in a column can be used to compute the slope.

Let 'x' be the time taken by each stock to reach at same value.

Then,

13.45 + 0.07x = 13.95 - 0.16x

13.45 - 13.95 = -0.16x - 0.07x

x = 0.5/0.23

x = 2.17 hours

If the two rates remain the same, the number of hours needed for the values of the two stocks to be equal is 2.17 hours.

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