Diego has a charge account at Today Bank, which uses the unpaid-balance method of computing finance charges. The periodic rate is 5.10%. If his previous balance is $761.90 and he had payments and credits of $250.00, find his FINANCE CHARGE. (ROUND to the nearest cent and include the $ sign in your answer).

Answer:

1. mileage of the bike = 40Km

2. petrol needed to cover 320Km = 8L

Answer:

\(\boxed{\sf x - 5 = 10}\)

Step-by-step explanation:

Taking away 5 from x ⇒ subtracting 5 from x

\(\large {\sf x - 5\)

Gives 10 ⇒ result is 10

\(\large {\sf x - 5 = 10\)

Therefore , the solution of the given problem of triangle comes out to be a length measures about 5.64 units in length.

If a polygon has more than one extra sections, it is a hexagon. It has a straightforward square form. Something like this configuration can only be distinguished from a conventional triangle by the sides A and B. The borders continue to be precisely collinear, but Euclidean geometry only yields a section rather than the entire cube. A triangular has three sides and three angles.

Here,

Let's determine the length of side b using the sine function:

opposite/hypotenuse of sin(A)

=> b/9 sin(50) = 9*sin(50) b = 7.021

Side B is therefore roughly 7.021 units long.

We can use the knowledge that the sum of the angles in a triangle is 180 degrees to determine the size of angle B:

=> angle B = 180 - angle A - 90

=>  angle B = 180 - 50 - 90

=>  angle B = 40 degrees

B's angle therefore has a 40 degree value.

The Pythagorean formula can also be used to determine the length of side a:

The equation is:

=> a² + b² = c²

=> a² + 7.021² = 9²

=> a² + 49.24 = 81

=> a² = 31.76

=> a ≈ 5.64

Side a therefore measures about 5.64 units in length.

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I’m sorry but I could not find a pdf version of the Envision volume 2 book for 5th grade online. However, I found some websites that have answer keys and lesson plans for the book. You can check them out by searching for the following queries:

I hope this helps you with your homework.

Answer:

a:6÷9

b:0.666% are the answers

OPTION A , C,D

are the correct choices because all of them are equal to √5

Answer:

C. (5x + 6) (5x - 6)

Step-by-step explanation:

25 is a perfect square, meaning its two factors are identical (5), and 36 is also a perfect square with two identical factors (6). With this information, we can split the expression below like this:

\(25x^2 - 36\\(5x ) (5x )\)

Since 36 is negative, we have to have a positive 6 and a negative 6:

(5x - 6) (5x + 6)

Answer:

Direct variation; k=5/2

Step-by-step explanation:

Edge quiz, got it right

Answer:

5.024 in. squared

Step-by-step explanation:

V=1/3Bh

V=1/3(3.14)(0.8in.)*3.5

V=1/3 to 1/1 (3.14)(1.6 in)*3.5 to 1

=5.024 in. squared

Answer:

70,79

Step-by-step explanation:

jwhsbsvevshwksksnbs

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

The most appropriate choice for differentiation will be given by

h'(3) = 24.02

h''(3) = \(210.48\)

What is differentiation?

Differentiation is the process in which instantaneous rate of change of function can be calculated based on one of its variables.

Here,

h(x) = tan(4x + 8)

h'(x) = \(\frac{d}{dx} (tan(4x + 8))\)

       = \(sec^2(4x + 8)\frac{d}{dx}(4x + 8)\)

       = \(4sec^2(4x + 8)\)

h'(3) =

\(4sec^2(4\times 3 + 8 )\\4sec^220\\24.02\)

h''(x) =

\(\frac{d}{dx}(4sec^2(4x + 8))\\4\times 2sec(4x + 8)\times \frac{d}{dx}(sec(4x + 8))\\8sec(4x + 8)sec(4x+8)cosec(4x+8)\times\frac{d}{dx}(4x + 8)\\32sec^2(4x + 8)cosec(4x +8)\)

h''(3) =

\(32sec^2(4\times 3+8)cosec(4\times 3+8)\\32sec^220cosec20\)

\(210.48\)

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The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.

According to the problem, two equations can be set up:

If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:

A + n = 7(B - n)

If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:

A - n = 2(B + n)

We can rearrange these equations to make them easier to solve:

8n = 7B - A

3n = A - 2B

Setting these equal to each other, since they are both equal to 24n, gives:

21B - 3A = 8A - 16B

37B = 11A

A / B = 37 / 11

= 3. 36

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Answer:

Step-by-step explanation:

Remark

I take it that 24 is in front of j which means that the term is 24j.  There shouldn't be a comma there.

Both numbers have 8 in common, and that's all they have in common. The GCF is therefore, 8

24j - 16 = 8(3j - 2)    That's the answer.

Answer: 8 (3j - 2)

Answer: The answer is 29, because that 29 would be the outlier of the numbers.

Step-by-step explanation:

The solution is, the percent of error, rounded to the nearest percent is 25%.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

now, we have to find the percent of error, rounded to the nearest percent.

so, we get,

Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

so, error = 750 - 600

              = 150

so, we get,

the percent of error = 150 * 100 / 600

                                 = 25%

Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.

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The diagonal distance from the airplane to the runway is approximately 5230.8 ft.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is used to solve problems related to measurements of angles and distances.

The angle of depression of 18° is the angle between the airplane's line of sight and the horizontal line representing the runway. We can label the altitude of the airplane as 1560 ft:

Now we can use trigonometry to find the diagonal distance from the airplane to the runway. In particular, we can use the tangent function:

tan(18°) = opposite / adjacent

In this case, the opposite side is the altitude of the airplane (1560 ft), and the adjacent side is the diagonal distance we're trying to find (x). Therefore:

tan(18°) = 1560 / x

To solve for x, we can multiply both sides by x and then divide both sides by tan(18°):

x = 1560 / tan(18°)

Using a calculator, we find that:

x ≈ 5230.8 ft

Therefore, the diagonal distance from the airplane to the runway is approximately 5230.8 ft.

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Answer:

answer is J because if we lay out the information we will understand it

The system of equations represents the charge for tickets for this condition is given by: Option J: 3x + 4y= 235, 4x + 5y = 305

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

We're specified that:

Total charge for 3 adults and 4 children = Ticket price for 3 adults + Ticket price for 4 children= \(x + x + x + y + y + y + y = 3x + 4y = 235\) (in dollars)

(We don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Similarly, we get:

Total charge for 4 adults and 5 children = Ticket price for 5 adults + Ticket price for 5 children= \(x + x + x + x + y + y + y + y + y = 4x + 5y = 305\) (in dollars)

Thus, we got a system of equations in x and y as:

\(3x + 4y= 235\\4x + 5y = 305\) (Option J)

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Answer:

Simplifying

y = 2mx + -7b

Reorder the terms:

y = -7b + 2mx

Solving

y = -7b + 2mx

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying

y = -7b + 2mx

Step-by-step explanation:

Is this the answer??

The equation in point-slope form for the line that has a slope of 4/5 and contains the point (−5,−3) is; y = 4x/5 + 7

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form

Where x₁ - x coordinate, y₁ - y coordinate, m - slope

Point (−5,−3)

Then Slope m =4/5

Now Write the equation as;

(y-3)=4/5(x+5)

y = 4x/5 + 7

Hence, the equation in point-slope form is; y = 4x/5 + 7

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Answer:

The angular speed of a point on Earth is

π12

radian per hour. The Equator lies on a circle of radius approximately 4000 miles. Find the linear velocity, in miles per hour, of a point on the Equator.

Step-by-step explanation:

They are 31.68 miles apart.

The formula to measure the length of the arc is – Arc Length Formula (if θ is in degrees) s = 2 π r (θ/360°)

Arc Length Formula (if θ is in radians) s = ϴ × r.

given:

r= 3.960 miles

\(\theta_2\) = 40.5 and \(\theta_1\) = 32.5

We know, l = r\(\theta\)

So, Δl = rΔ\(\theta\)

Δl= r ( \(\theta_2\) - \(\theta_1\) )

Δl = 3.96 ( 40.5 - 32.5)

Δl = 3.96 x 8

Δl= 31.68 miles.

Hence, they are 31.68 miles apart.

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Answer:

900π

Step-by-step explanation:

Hello!

The radius is represented by the function \(r(t) = 15\sqrt{t +2}\).

The radius of the ripple can be found when \(t=2\)

Solve:

The radius of the ripple is 30 inches

The area of a circle is calculated by the formula \(A = \pi r ^2\)

Given the radius is 30, we can find the area of the circle.

Solve:

Answer:

12 people are need to walk 24 dogs

Step-by-step explanation:

12/2=6

24/2=12

Answer:

12 people can walk 24 dogs.

Step-by-step explanation:

Given information,

→ 6 people can walk 12 dogs.

→ People required for 24 dogs = ?

Let us assume that,

→ Missing value = p

Forming the equation,

→ 6/12 = p/24

Then the value of p will be,

→ 6/12 = p/24

→ p/24 = 6/12

→ p × 12 = 6 × 24

→ 12p = 144

→ p = 144/12

→ [ p = 12 ]

Hence, the value of p is 12.

Answer: 375

Step-by-step explanation:

Ruling out each number:

6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.

3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.

2 & 4 & 8: Is proven wrong in the 4th clue.

7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.

1: Is proven wrong after 7 is proven true.

Figuring out placement:

5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.

3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.

7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.

9514 1404 393

Answer:

  x = -6

Step-by-step explanation:

The three marked angles total 180°, the number of degrees in a semicircle.

  (x +51) +65 +70 = 180

  x = 180 -186 = -6 . . . . . . . . subtract 186 and simplify

The value of x is -6.

Answer:

Step-by-step explanation:

Given f(x, y, z) = x sin(yz), the formula for calculating the gradient of the function is expressed as ∇f(x, y, z) = fx(x, y, z)i+ fy(x, y, z)j+fz(x, y, z)k where;

fx, fy and fz are the differential of the functions with respect to x, y and z respectively.

a) ∇f(x, y, z) = sin(yz)i + xzcos(yz)j + xycos(yz)k

The gradient of f =  sin(yz)i + xzcos(yz)j + xycos(yz)k

b) Directional derivative of f at (1,2,0) in the direction of v = i + 4j − k is expressed as ∇f(1, 2, 0)*v

∇f(1, 2, 0) = sin(2(0))i +1*0cos(2*0)j + 1*2cos(2*0)k

∇f(1, 2, 0) = sin0i +0cos(0)j + 2cos(0)k

∇f(1, 2, 0) = 0i +0j + 2k

Given v = i + 4j − k

∇f(1, 2, 0)*v (note that this is the dot product of the two vectors)

∇f(1, 2, 0)*v =  (0i +0j + 2k)*(i + 4j − k )

Given i.i = j.j = k.k =1 and i.j=j.i=j.k=k.j=i.k = 0

∇f(1, 2, 0)*v = 0(i.i)+4*0(j.j)+2(-1)k.k

∇f(1, 2, 0)*v = 0(1)+0(1)-2(1)

∇f(1, 2, 0)*v =0+0-2

∇f(1, 2, 0)*v= -2

Hence, the directional derivative of f at (1, 2, 0) in the direction of v = i + 4j − k is -2

The solution of the given question will be the probability that at least 10 eggs are unbroken is 0.01.

Probability is a measure of the likelihood or chance that an event will occur. It is a number between 0 and 1, where 0 means that the event is impossible, and 1 means that the event is certain. In between, probabilities are expressed as fractions or decimals, with higher probabilities indicating a greater likelihood of the event occurring. Probability is used extensively in fields such as mathematics, statistics, physics, economics, and engineering to model uncertain events and to make predictions based on those models.

(a) Since the sum of probabilities for all possible values of y must equal 1, we have:

0.63 + 0.22 + 0.10 + 0.04 + p(4) = 1

Solving for p(4), we get:

p(4) = 1 - 0.63 - 0.22 - 0.10 - 0.04 = 0.01

Therefore, p(4) = 0.01.

(b) p(1) = 0.22 represents the probability that a randomly selected carton of eggs will have exactly one broken egg. It can also be interpreted as the proportion of cartons in this population that have exactly one broken egg.

(c) P(y ≤ 2) is the probability that the carton contains at most two broken eggs. We can calculate this probability by adding the probabilities of y = 0, y = 1, and y = 2:

P(y ≤ 2) = p(0) + p(1) + p(2) = 0.63 + 0.22 + 0.10 = 0.95

This means that in the long run, 95% of cartons in this population will have at most two broken eggs. It can also be interpreted as the proportion of eggs in any two cartons from this population that will be broken.

(d) P(y < 2) is the probability that the carton contains fewer than two broken eggs. This means that the only possible values for y are 0 or 1, so we have:

P(y < 2) = P(y = 0) + P(y = 1) = 0.63 + 0.22 = 0.85

This probability is smaller than the probability in part (c) because P(y ≤ k) is always greater than or equal to P(y < k) for any value of k, since P(y = k) is non-negative.

(e) The value of y represents the number of broken eggs, so if a carton contains exactly 10 unbroken eggs, then it must have 2 broken eggs, since there are 12 eggs in a carton. Therefore, the probability of a carton having exactly 10 unbroken eggs is equal to the probability of y = 2, which is 0.10.

(f) To calculate the probability that at least 10 eggs are unbroken, we need to find the sum of the probabilities for y = 10, y = 11, and y = 12, since these correspond to the cases where at least 10 eggs are unbroken:

P(10 ≤ y ≤ 12) = P(y = 10) + P(y = 11) + P(y = 12) = 0 + 0 + 0.01 = 0.01

Therefore, the probability that at least 10 eggs are unbroken is 0.01.

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