Please identify the mistakes in each of these equations and state the correct way to solve them
I will give brainliest

Josephine have £3882.9 amount after 2 years and £3994.9 amount after 3 years.

Using the formula of compound interest we can find the amount after t years compounded annually at the r per cent rate.

The formula of compound interest is as follows,

\(A=p(1+\frac{r}{100} )^t\)

Where P is the principal value, A is the amount, r is the rate and t is the time.

Here we have a principal value of £3,500 and a rate is 4.5%.

Now, finding the amount after 2 years by putting the values in the formula of compound interest,

\(A=p(1+\frac{r}{100} )^t\\\\A=3500(1+\frac{4.5}{100} )^2\\\\A=3500(1+0.045 )^2\\A=3500(1.045)^2\\A=3500\times1.092025\\A=3882.0875\)

So, After 2 years Josephine will have £3882.9.

Now, finding the amount after 3 years,

\(A=p(1+\frac{r}{100} )^t\\\\A=3500(1+\frac{4.5}{100} )^3\\\\A=3500(1+0.045 )^3\\A=3500(1.045)^3\\A=3500\times1.141166125\\A=3994.0814375\)

So, After 3 years Josephine will have £3994.9.

Therefore, After 2 years Josephine will have £3882.9 and after 3 years Josephine will have £3994.9 when 4.5% interest is compounded annually.

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The football is approximately 96.4 feet from the base of the goal post.

The tangent function in trigonometry is used to determine the proportion between the lengths of the adjacent and opposite sides in a right triangle. Where theta is the angle of interest, the tangent function is defined as:

tan(theta) = opposing / adjacent.

When the lengths of one side and one acute angle are known, the tangent function is used to solve for the unknown lengths or angles in right triangles. In order to utilise the tangent function, we must first determine the angle of interest, name the triangle's adjacent and opposite sides in relation to that angle, and then calculate the ratio of those sides using the tangent function.

Given, the angle of elevation is 16 degrees 42'.

That is,

Angle of elevation = 16 degrees 42' = 16 + 42/60 = 16.7 degrees

Using tangent function we have:

tan(16.7) = 30/x

x = 30 / tan(16.7)

x = 96.4 feet

Hence, the football is approximately 96.4 feet from the base of the goal post.

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Answer:

hope it helped have a nice day

the following shaded-regions in the plane consists of all points whose polar coordinates satisfy the inequalities 0 ≤ r ≤ 3 and π/6 ≤ θ ≤ π/12.

It is referred to as a polar coordinate system when each point on a plane in a two-dimensional coordinate system is determined by a distance from a reference point and an angle measured from a reference direction. Pole: The object of comparison. The term "polar coordinates" refers to these new coordinates since you interpret the axes' intersection as a pole from which all other points radiate outward. change (degrees are measured in radians) (degrees are measured in radians).

Given that,

0 ≤ r ≤ 3

and π/6 ≤ θ ≤ π/12

In the given condition we can clearly see that the radius is not equal to 3 but it is less than 3. Thus graph number 1, 2, 4 and 6 do not match the given condition.

Now in the given condition 0 ≤ r ≤ 3 the angle is between 30° to 105°

In the graph number 3 radius varies from 0 ≤ r ≤ 3 but angle varies from 75° to 150°, so it is also incorrect.

Thus in the remaining graph number 5, the radius varies from 0  and angle also varies from 30° to 105°.

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The complete question is as follows:

Answer: $20000

Step-by-step explanation:

The amount of cash drawings for the year will be calculated thus:

Net loss = $18,800

Beginning owner's equity = $378,800

Ending owner's equity = $330,000

Goods withdrazwn by owner = $10,000

The Ending owner's equity is calculated as:

= Beginning owner's equity - Net loss - Goods withdrazwn by owner - Cash withdrawn by owner

We'll then slot in the values given and this will be:

330,000 = 378,800 - 18,800 - 10,000 - Cash withdrawn by owner

330,000 = 350,000 - Cash withdrawn by owner

Cash withdrawn by owner will the be:

= $350000 - $330000

= $20,000

Answer:

angles 2 and 3

Step-by-step explanation:

The question is asking for alternate interior angles, meaning the angles must be between the two parrall lines, but on diffrent sides of the transversal. this leaves only 2 and 3.

The pairs of angles are alternate interior angles ∠2 and ∠3.

The fundamental characteristics listed below make it simple to recognise parallel lines.

Given:

As, we know that one of the property of parallel lines is that the pair of Alternate Interior angle is equal.

Usually alternate interior angles form in 'Z' formation.

So, <6 and <7 and <2 and <3 forms pair of alternate interior angles.

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Answer:

.........................................................

Step-by-step explanation:

.................................................

Answer:

Step-by-step explanation:

In this question, we need to use the formula of means to solve the. We can set the number of beads Rajiv brings as X, and use the formula of mean to get the total number of beads that the Four(4) children have and the total number of beads that the Five(5) children have.

Four(4) children each have some beads, the mean number of beads is: 8

        4 * 8 = 32

We set the number of beads Rajiv brings as:

x, so the total number of beads that the Five(5) children have is:

32  +  x

The mean number of the Five(5) children is now: 9

      5  *  9   =  45

     32 +  x    =    45

      x  +  32  =    45

           -  32  =   -32

       x            =     13

By solving the above equation, you can get:

x  =  13

       13

Hope this helps!

Answer: um look it up or cause i dont know how to get out of answering this cause i clicked answer so this is here my bad

Step-by-step explanation:

Answer:

yes your answer is right

Answer:

Yes it's Perfectly correct

Answer:

-1opw+9p^2q+5q^2

Step-by-step explanation:

Answer:

The slope is -3/8

Step-by-step explanation:

(6,−6);(−18,3)

(x1,y1)=(6,−6)

(x2,y2)=(−18,3)

Use the slope formula:

m= y2−y1 /x2−x1

3−−6 /−18−6  

9 /−24

−3 /8

Answer:

None of those is right

But if you have to put something then try A and B

Step-by-step explanation:

Here's the right answer for each equation

A. 100

B. 1000

C. 1000

D. 10000

E. 100

So if the question was to select each equation that the number 100 makes true.

Then the answers would have been A and E

Hope this helps, have a beautiful day

It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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The needed number of days at 10 degrees is given as follows:

11 days.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

For this problem, we have that when x decreases by 5, y increases by 2, hence the slope m is given as follows:

m = -2/5

m = -0.4.

Hence the time needed for a temperature of 10 degrees is given as follows:

9 + 2 = 11 days.

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9514 1404 393

Answer:

  (5x -8) +96 +(5x +2) +4x +4x = 540

  x = 25

Step-by-step explanation:

It usually works to follow directions. The sum of angles is ...

  (5x -8) +96 +(5x +2) +4x +4x = 540 . . . . An equation

  18x +90 = 540 . . . . . . . . . collect terms

  x +5 = 30 . . . . . . . . . divide by 18

  x = 25 . . . . . . . . subtract 5

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer:

Step-by-step explanation:

Solution

0.125125125

Cut . Thus after cut . Count numbers then we get there is 9 numbers so divide it in form of 0 like

Thus after cutting . we get

125125125

___________

1000000000

It is in p/q form

Answer:

\(\frac{125}{999}\)

Step-by-step explanation:

Create 2 equations with the repeating numbers 125 placed after the decimal point.

let x = 0.125125125 → (1) ← multiply both sides by 1000 )

1000x = 125.125125125 → (2)

Subtract (1) from (2), thus eliminating the repeating decimal

999x = 125 ( divide both sides by 999 )

x = \(\frac{125}{999}\) ← in the form \(\frac{p}{q}\)

The chosen dimensions are given as follows:

Length = Width = Height = 3.

a) The total volume of the prism is given as follows: 162 cubic units.

b) The scale factor to contract the prism is given as follows: 1/3.

c) The volume of the dilated prism is given as follows: 6 cubic units.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, as follows:

Volume = length x width x height.

The dimensions for this problem are given as follows:

Length = 3, Width = 6, Height = 9.

Hence the volume is of:

V = 3 x 6 x 9

V = 162 cubic units.

The attributed scale factor is given as follows:

1/3.

As it is a contraction, the scale factor must be less than 1.

Hence the fraction that the volume of the dilated prism will represent is given as follows:

(1/3)³ = 1/27.

The scale factor is cubed as the side lengths are given in units while the volume is given in cubic units.

Hence the volume of the dilated prism is given as follows:

1/27 x 162 = 6 cubic units.

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Answer:

115 degrees (vertically opposite angles are equal)

Step-by-step explanation:

The graph that shows the following system of equations and its solution is graph number C

A graph is the graphical representation of equations on a graph sheet

The given equations are

-4x-3y=4

4x-y=-4 Solving the equations

In equation 1

When x = 0

-3y = 4

y=-4/3                  (0, -4/3)

When y = 0

-4x = 4

x= -1            (-1, 0)

In equation 2 when x = 0

-y = -y = 4             (0, 4)

When y = 0

4x=-4 x=-1              (-1, 0)

When these coordinates are used to plot the graph, graph number is is obtained.

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Answer:

x = -1            x = -5/3

Step-by-step explanation:

Assuming we want the zeros

(2x+2) (3x+5) =0

Using the zero product property

2x+2 = 0   3x+5 =0

2x = -2       3x = -5

x = -2/2      x = -5/3

x = -1            x = -5/3

Answer:

x=-1, or -5/3

Step-by-step explanation:

When you add (2x+2)(3x+5)=0, it becomes a equation that you can solve for. I would advise you to separate both the parts of the equation so it becomes (2x+3)=0 and (3x+5)= 0 and that's how you can subract and divide easier in order to get the solutions. Hope this helps!!

The sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.

Step-by-step explanation: Sorry if this doesn't help....

the scale is 1cm:0.25km, this means that, the following ratio

must be preserved. Now, swe must convert 14.3 cm in the map to kilometers in the ground.

Since the above ratio must be preserved, we have that

where x is the unknow. hence, we have that

Hence, 4.3 centimeters equals 3.575 km in real life.

The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.

To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.

Step 1: Apply De Morgan's laws

NOT (R AND NOT P) can be simplified as (NOT R) OR P.

Step 2: Distributive property

F5 = (P AND Q) OR ((NOT R) OR P)

Step 3: Apply associative property

F5 = (P AND Q) OR (P OR (NOT R))

Step 4: Apply absorption law

F5 = P OR (P OR (NOT R))

Step 5: Apply idempotent law

F5 = P OR (NOT R)

By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.

Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.

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The question probable may be:

Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:

F5 = (P AND Q) OR (R AND NOT P)

Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?

What is that for?

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Answer:

The answer in a subtraction problem is called the difference

the answer to addition is called the sum

Step-by-step explanation:

Answer:

The probability that one junior and one senior are chosen for the two positions is 0.556.

Step-by-step explanation:

The information provided is as follows:

There are a total of 9 students who applied for the two open student council positions.

The total number of ways to select two students from 9 is: \({9\choose 2}=\frac{9!}{(9-2)!}=36\)

Compute the probability that one junior and one senior are chosen for the two positions as follows:

\(P(\text{1 Junior and 1 Senior})=\frac{5\times 4}{36}=0.556\)

Thus, the probability that one junior and one senior are chosen for the two positions is 0.556.