Recently, More Money 4U offered an annuity that pays 6.3% compounded monthly. If $1,986 is deposited into this annuity every​ month, how much is in the account after 8 ​years? How much of this is​ interest?

Answer:

Maaf Saya Tidak Tahu

Step-by-step explanation:

Maaf Maaf

Take into account that the cosine of an angle is given by:

cos B = length of the adjacent side / hypotenuse

in this case, you have:

length of adjacent side to B = BC

hypotenuse = AB

replace the previous values of the parameters into the formula for cos B:

cos B = BC/AB

Moreover, due to BC and AB are similar to EF and DE respectively, you have for cos B:

cos B = EF/DE

Answer:

x=5

y=1

z=2

Step-by-step explanation:

x+2y+z=9

3x+y+4z=24

x+3y+z=10

Answer:

what do you mean by land ?

The intensity of sound is proportional to the square of its amplitude.

Thus, if I9 and I8 are the intensities of sounds at 9 decibels and 8 decibels respectively, then:

I9/I8 = (10^(9/10))/(10^(8/10))

I9/I8 = 10^(0.1)

I9/I8 = 1.2589

Therefore, the relative intensity of 9 decibels is approximately 1.26 times higher than that of 8 decibels.

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The cost of renting skates is $3. It would cost $19 for 4 hours. The solution has been obtained by using linear equations.

What is a linear equation?

The greatest linear equation has a degree of one. In light of this, it can be seen that linear equations with exponents greater than one lack variables. A straight line results from such an equation on the graph.

We are given that an ice-skating rink charges $4 per hour to skate on the rink and the option to rent skates for an additional cost.

Marlo paid $13 to rent ice skates and to skate for two-and-a-half hours.

a. Let the cost of renting be 'x'.

So,

⇒x + 2.5(4) = 13

⇒x + 10 = 13

⇒x = 3

So, cost of renting is $3.

b. Cost to rent skates and be on the ice for 4 hours will be

⇒ 3 + 4(4) = $19

Hence, the cost of renting skates is $3 and it would cost $19 for 4 hours.

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Answer:

where is x

Step-by-step explanation:

Answer:

If it is (3x+12) then the answer is 19.5

Step-by-step explanation:

Answer:

your answer is B

Step-by-step explanation:

Germany, Austria-Hungary, Bulgaria, and the Ottoman Empire

Answer:

Yes

Step-by-step explanation:

A $79 unit plus HST will be 89.27

The exact values of the remaining trigonometric functions of θ are:

sin(θ) = √(1/64)

cos(θ) = -8

tan(θ) = -8√(1/64)

csc(θ) = 1

cot(θ) = -√(1/64) / 8

Given that sec(θ) = -8 and sin(θ) > 0, we can find the exact values of the remaining trigonometric functions using the Pythagorean identity:

sec^2(θ) = 1/sin^2(θ)

Substituting the value of sec(θ), we have:

(-8)^2 = 1/sin^2(θ)

64 = 1/sin^2(θ)

sin^2(θ) = 1/64

sin(θ) = ±√(1/64)

Since sin(θ) > 0, we take the positive square root:

sin(θ) = √(1/64)

Next, we use the reciprocal identity for cosecant:

csc(θ) = 1/sin(θ)

Substituting the value of sin(θ), we have:

csc(θ) = 1/√(1/64) = 8√(1/64) = 8/√(64) = 8/8 = 1

Next, we use the reciprocal identity for cotangent:

cot(θ) = 1/tan(θ)

We can find the value of tan(θ) using the definition:

tan(θ) = sin(θ) / cos(θ)

Substituting the values of sin(θ) and cos(θ), we have:

tan(θ) = √(1/64) / (-8) = -√(1/64) / 8

Finally, we use the reciprocal identity for a tangent:

tan(θ) = 1/cot(θ)

Substituting the value of cot(θ), we have:

tan(θ) = -8√(1/64)

Therefore, the exact values of the remaining trigonometric functions of θ are:

sin(θ) = √(1/64)

cos(θ) = -8

tan(θ) = -8√(1/64)

csc(θ) = 1

cot(θ) = -√(1/64) / 8

The complete question is:-

Find the exact value of each of the remaining trigonometric functions of

θ. Rationalize denominators when applicable.

secθ=−8, given that sinθ>0

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The inverse function:  \(f^{-1} (x) =\) \((\frac{x -5}{5} )^{2} -13\)

The inverse is defined on the domain x < 5 and x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5.

A function is a relationship that exists between two sets of numbers, with each input from the first set, known as the domain, corresponding to only one output from the second set, known as the range.

Given function is;   \(f(x) = 5\sqrt{(x + 13)} + 5\)

To find the inverse of the given function, we first replace f(x) with y:

⇒  \(y = 5\sqrt{(x + 13)} + 5\)

Subtract 5 from both sides:

⇒ \(y -5 = 5\sqrt{(x + 13)}\)

⇒ \(\frac{(y -5)}{5} = \sqrt{(x + 13)}\)

⇒ \((\frac{y -5}{5} )^{2} = x + 13\)

⇒ \((\frac{y -5}{5} )^{2} -13 = x\)

Now we have x in terms of y, so we can replace x with f⁻¹(x) and y with x to get the inverse function:

f⁻¹(x) = \((\frac{x -5}{5} )^{2} -13\)

The domain of the inverse function is x ≥ 5, because this is the range of the original function, and we were given that the inverse is defined on the domain x < 5. However, we must also exclude the value x = 5, because the denominator of the fraction \((\frac{x -5}{5} )^{2}\) becomes zero at this value. Therefore, the domain of f⁻¹(x) is x > 5.

We were given that x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5. Therefore, the domain of the inverse function becomes the range of the original function, and the range of the inverse function becomes the domain of the original function.

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Answer:

B

Step-by-step explanation:

y=5(x+2)

The equation when graphed with the given equation, will form a system that has no solution is y = 5(x-2)

A linear equation is an equation of the first degree in any number of variables, that can be written in the form ax + b = 0 or ax + by + c = 0, where a, b, and c are real numbers and x and y are variables. The coefficients may be arbitrary expressions, but they do not contain any of the variables. A linear equation is defined by a straight line in the Cartesian plane.

Given is an equation, y = 5x-10, we need to find an equation, when graphed with the given equation, will form a system that has no solution,

So, we know that,

A system of equations will have no solution, if,

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution.

Therefore, the only equation that fulfills this condition is y = 5(x-2)

Hence, the equation when graphed with the given equation, will form a system that has no solution is y = 5(x-2)

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The image below shows the pascal triangle.

The pascal triangle shows until the fifth power, where a = 25 and b = 0.

By converting the equation 3x - y = 7 in the slope-intercept form, the slope, and the intercept will be (A) m = 3, b = -7.

When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b).

The y value of the y-intercept point is denoted by the symbol b in the formula.

A line's slope and y-intercept are expressed in the following formula: y=mx+b.

The y-intercept, which is usually represented in coordinate form as (0,b), is the point where the line crosses the y-axis.

So, we have the equation:

3x - y = 7

After reading the above-given description about the slope-intercept form, we can tell that in the given equation:
m = 3, b = -7

Therefore, by converting the equation 3x - y = 7 in the slope-intercept form, the slope and the intercept will be (A) m = 3, b = -7.

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Complete question:
After 3x - y = 7 is put in slope-intercept form, the slope, and intercept are:

a m = 3, b = -7

b m = -3, b = 7

c m = -3, b = -7

d m = 3, b = 7

Angle K has  a value of 63 degrees.

Given,

The triangle KLM

Angle L = 4x + 7

Angle K = 6x - 9

Angle M = 118° (Exterior)

We have to find the value of angle K.

Here,

Angle M (Interior) = 180 - 118 = 62° (linear pair of angles)

Now,

Angle L + Angle K + Angle M = 180° (Sum of interior angles of a triangle)

Then,

4x + 7 + 6x - 9 + 62 = 180

10x - 2 + 62 = 180

10x  + 60 = 180

10x = 180 - 60

x = 120/10

x = 12

Now,

Angle K = 6x - 9  = 6 × 12 - 9 = 72 - 9 = 63

That is,

The value of Angle K is 63 degrees.

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Answer:

12

Step-by-step explanation:

40= 2x + 16

subtract 16 from both sides

24 = 2x

divide both sides by 2

12 = x

Answer:

m  (parallel)  = 3 /4

Step-by-step explanation:

on the graph Y will start on two

The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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The sheet decreased by 1.5 meters and is now at 2.5 meters.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, s=−0.25t + 4 represents the thickness of the ice over t weeks. To find the thickness at 6 weeks, substitute t=6.

s = -0.25(6)+4

s = 2.5 meters

It started at t= 0 at 4 meters. So it decreased by (4 - 2.5) = 1.5 meters.

The start of spring has 4 meters because when t= 0, s= -0.25(0)+4 = 4

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During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts to melt.

The variable s models the ice sheet's thickness (in meters) t

weeks after the beginning of spring.

s=−0.25t+4s=-0.25t+4

s=−0.25t+4

By how much does the ice sheet's thickness decrease every 6 weeks?

Answer:

The second answer choice

Step-by-step explanation:

Angle 2 is congruent to angle 8.

The value of h is 0.39

Trigonometric functions are the periodic functions which denote the relationship between angle and sides of a right-angled triangle.

Tan 7 degrees is the value of tangent trigonometric function for an angle equal to 7 degrees. The value of tan 7° is 0.1228.

According to the given question.

We have a trigonometric function.

\(tan7 = \frac{h}{3.2}\)

Since, the value of tangent 7 degrees is 0.1228.

Substitute, the value of tangent 7 degrees in the given trigonometric function.

⇒ \(0.1228 = \frac{h}{3.2}\)

⇒\(0.1228 (3.2) = h\)

⇒\(h = 0.39\)

Hence, the value of h is 0.39

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Answer:

he should be 39 y/o

Step-by-step explanation:

you would add the 18 and 5 to get him age now, and then add the 16 years, so his age would be 39. hope this helps

Answer:

\(\frac{1}{18}\)

Step-by-step explanation:

The best way to solve this problem is to simplify each factorial one by one!

Starting at the numerator, the factorial for 2! is just 2, while the factorial for 5 is 120.

At the denominator, the factorial of 6! is 720, while the factorial for 3 is 6.

To write this out, we're given: \(\frac{(2) (120)}{(720) (6)}\)

Just simply multiply and then divide, and we are given 1/18

Answer:

Angle ACB = 44°

There are two ways to solve it. Both are right

Solution number 1

From triangle ABC

angle BAC = 180°-(102° +44°) = 36°

Because BG is parallel with AC

Another solution

The sum of angles in the shape AGBC = 360°

Answer:

-3

Step-by-step explanation:

As she moves back, so it will be negative.

Since she moves back 3 steps, it will be -3.

Hope it helps :)

Please mark my answer as the berainliest

Answer:

-3

itwaseasy...............

Using the t-distribution, the t-statistic for the two-sided test would be of t = 0.7.

The test statistic is given by:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

The parameters are:

The values of the parameters are given as follows:

\(\mu = 22, s = 7.043, n = 6\).

The sample mean is:

\(\overline{x} = \frac{23 + 35 + 17 + 30 + 20 + 19}{6} = 24\)

Hence the test statistic is:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{24 - 22}{\frac{7.043}{\sqrt{6}}}\)

t = 0.7.

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Complete question :

For a continuous random variable X, P(23 ≤ X ≤ 66) = 0.25 and P(X > 66) = 0.14. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)

a. P(X < 66)

b. P(X < 23)

c. P(X = 66)

Answer:

P(X < 66) = 0.86

P(X < 23) = 0.61

P(X = 66) = 0

Step-by-step explanation:

Given that:

X, P(23 ≤ X ≤ 66) = 0.25 and

P(X > 66) = 0.14 ;

Recall:

P(x ≤ a) + p(x ≥ a) = 1

Then ; P(X < 0.66) = 1 - 0.14 = 0.86

Hence,

P(X < 0.66) = 0.86

P(23 ≤ X ≤ 66) = 0.25

P(X < 66) = 0.86

Hence,

P(X < 23) = 0.86 - 0.25 = 0.61

Probability that a continuous random variable is exactly equal to a particular number equals 0

Hence,

P(X = 66) = 0

Both representations are equivalent and describe the same function.the function rule for this table is:   f(x) = -1/2 x 2

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. A slope of a line is the change in y coordinate with respect to the change in x coordinate.

To write a function rule for a given array, we need to determine how the values ​​in the output column (y) relate to the values ​​in the input column (x).

Looking at the given data, we notice that the output values ​​decrease by 1 every time the input value increases by 2. This suggests that the function is linear and that we can use the slope-intercept form of a linear equation to represent it. .

The slope-intercept form of a linear equation is y = mx b, where m is the slope and b is the y-intercept. In this case, the slope m is -1/2 because the output values ​​decrease by 1 every time the input values ​​increase by 2. The y-intercept b is 2 because the output value is 2 when the input value is 0.

Therefore, the function rule for this table is:

f(x) = -1/2 x 2

where x is the input value and f(x) is the output value.

Alternatively, we can also represent the function in table entries, for example:

f(0) = 2

f(2) = 1

f(4) = 0

f(6) = -1

Both representations are equivalent and describe the same function.

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