Dan Invests £2500 into his bank account. He receives 5% per year simple interest. How much will Dan have after 2 years? Give your answer to the nearest penny where appropriate.
Please help me give me the answer:
Explanation:

Answer:

I can try, but need to see the problem first.

Answer:

Hi we would like to help you with the question, but you did not put a problem or question to solve.

Remember that the range of the parent function csc(x) is:

If we apply a vertical stretch by a factor k, the function becomes:

And the range becomes:

If we then apply a vertical shift by c units, the function becomes:

And the range becomes:

Then, we can identify the endpoints of the interval with the given range:

So:

Solving the system of equations yields c=-2 and k=7. Replace these values into the transformed function:

On the other hand, two consecutive asymptotes of the parent function are x=0 and x=π. Apply a horizontal stretch by 2 units to get the equation of the described cosecant function:

Therefore, the equation of the described cosecant function is:

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer:84 degree

Step-by-step explanation:

Answer:

32.9

Step-by-step explanation:

233 * %14.1 = 233*.141=32.9

The measure of length of YZ is 12.42 meters and the measure of XY is 20.87 meters.

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

The formula for sine rule is sinA/a=sinB/b=sinC/c

7) In triangle XYZ, XZ=29 meters, ∠X=22° and ∠Z=39°

By angle sum property, we get

∠X+∠Y+∠Z=180°

22°+∠Y+39°=180°

∠Y+61°=180°

∠Y=119°

Using sine rule, we get

sin22°/YZ=sin119°/XZ=sin39°/XY

sin22°/YZ=sin119°/29

0.3746/YZ=0.8746/29

0.3746×29=0.8746×YZ

YZ=10.8634/0.8746

YZ=12.42 meters

sin119°/29=sin39°/XY

0.8746/29=0.6293/XY

0.8746XY=18.2497

XY=18.2497/0.8746

XY=20.87 meters

8) In a triangle ABC, AB=21.9 cm, BC=10.4 cm and AC= 18 cm

Using cosine rule,

The formula for the cosine rule is c²=(a²+b²-2ab cosC)

18²=21.9²+10.4²-2×21.9×10.4cosC

324=587.77-455.52cosC

-263.77=-455.52cosC

cosC= -263.77/(-455.52)

cosC= 0.579

C=54.62°

Therefore, the measure of YZ is 12.42 meters and the measure of XY is 20.87 meters.

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is really "x", which oddly enough is the 100%, but we also know that 0.40% of "x" is 29, so

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 29& 0.40 \end{array} \implies \cfrac{x}{29}~~=~~\cfrac{100}{0.40}\implies \cfrac{x}{29}=\cfrac{100}{~~ \frac{ 40}{100 } ~~}\implies \cfrac{x}{29}=\cfrac{10000}{40} \\\\\\ \cfrac{x}{29}=250\implies x=7250\)

Therefore, it would take approximately 19.02 years for an investment to at least double its original amount at a semi-annual compound interest rate of 3.62%.

When an investment is made with a certain amount, the compound interest rate is used to calculate the return on investment. In addition, the number of times interest is compounded each year can have an impact on the investment's outcome.

This question asks about how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%.

To solve for how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%, we need to use the formula for the future value of an annuity:

Future value of an annuity = Payment (1 + r/n)^(nt)where:r is the annual interest raten is the number of times interest is compounded per year Payment is the original amount is the number of years

To solve for t, we can rearrange the formula as follows:t = log(Payment/Future value of an annuity) / log(1 + r/n)where log is the natural logarithm.

The future value of the investment is double the original amount, so we can plug in 2 for Future value of an annuity and simplify the formula to get:t = log(2) / log(1 + 0.0362/2)t = 19.02 years

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Answer:

10

Step-by-step explanation:

I’m joking it actually 5

Answer:

5....?

Step-by-step explanation:

Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

Answer:

50 adult tickets were sold that day.

Step-by-step explanation:

We will use "c" to represent child ticket and "a" to represent adult ticket

Using these info, we can make a system of equations:

\(\left \{ {{9.2a + 5.3c = 836.3} \atop {a + c = 121}} \right.\)

Solve the system of equations using substitution.

a + c = 121

c = 121 - a

9.2a + 5.3 (121 -a) = 836.3

9.2a + 641.3 - 5.3a = 836.3

3.9a = 195

a = 50

50 adult tickets were sold that day.

Answer:

They're called the x-intercept, which is where the line crosses the x-axis, and the y-intercept, which is where the line crosses the y-axis. When finding the x-axis the y coordinate needs to be 0, and when finding the y-intercept, the z coordinate must be o.

Step-by-step explanation:

Answer:

  C) (square root 2)/2

Step-by-step explanation:

In quadrant III, the sine of an angle is positive. The value will be ...

  sin(Θ) = √(1 -cos(x)^2) = √(1 -(-√2/2)^2) = √(2/4)

  sin(Θ) = (√2)/2

Answer:

\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)

Answer:

84 yards

Step-by-step explanation:

1008 inches converts to 84 yards

Answer:

The correct answer:

(B) SAS Similarity

Answer:

  (d)  (1, 2)

Step-by-step explanation:

You want to know which of the given points satisfies the inequality.

We find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)

__

Additional comment

Another way to choose the answer is to try each of the points in the inequality.

If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).

You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.

The difference between the depths in February and July is 31 feet.

The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:

Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.

Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.

Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.

Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.

Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.

Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.

The difference between the depths in February and July is:

|−6| − |−25| = 6 − (−25) = 6 + 25 = 31

Therefore, the correct choice is B) 31 feet.

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Answer:

y > Two-thirds x + 1     /c

The cost of making 35 items is 1100 and the domain is (-∞,∞)

The cost of making 35 items :

plug the value into the cost equation

C(35) = 10(35) + 800

C(35) = 350 + 800

C(35) = 1100

Hence, cost of making 35 items is 1100

Since the value of X can be any real number, we can plug in any real number for x and get a real number output.

Hence, the domain = (-∞,∞)

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The probability of rolling a number less than 13 is 1 in 12, 1/12, or %8.3 chance

Answer:

Step-by-step explanation:

The amount received from loans as a number in millions is 242,700 million rand.

Deducing value A requires computation of collective income sources, for which the following summation suffices:

Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A

In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.

Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:

Total Income - Total Expenditure = B

(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B

Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.

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Answer:

Last answer.

Step-by-step explanation:

Answer:

CASI

Step-by-step explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

Sample survey questions are usually read from a computer screen. In a computer-aided personal interview (CAPI), the interviewer reads the questions and enters the responses. In a computer-aided self interview (CASI), the interviewer stands aside and the respondent reads the questions and enters responses. One method almost always shows a higher percent of subjects admitting use of illegal drugs.

This is because they get to interact with a computer rather than a human interviewer.

Answer:

  54

Step-by-step explanation:

15/5 = 3 columns in each row are shaded. There are 18 rows, so 3×18 = 54 cells are shaded.

Subtract the second equation from the first,

Step-by-step explanation:

Hope this helps you ☺️☺️

Answer:

\( \large{ \boxed{ \tt{3 {x}^{2} - 12x - 1 }}}\)

Please see the attached picture for full solution!

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The expression that represents a complex number is the one in the second option.

\(\frac{2}{3} + \sqrt{-\frac{27}{28} }= \frac{2}{3} + \sqrt{\frac{27}{28} } i\\\)

Remember that the complex number i is given by:

\(i = \sqrt{-1}\)

So we have complex numbers when we have negative arguments inside of square roots.

In this particular case, the only option with a negative argument on a square root is on the second option:

\(\frac{2}{3} + \sqrt{-\frac{27}{28} } \\\\\frac{2}{3} + \sqrt{-1} *\sqrt{\frac{27}{28} } \\\\\frac{2}{3} + \sqrt{\frac{27}{28} } i\\\)

We conclude that the correct option is the second one.

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Answer:

(2)/(3)+\sqrt(-(27)/(28))

Step-by-step explanation:

Plato/Edmentum

Important information

12 lawns can be mowed in 3 hours

We need to know how many they can mow in 18 hours

Solving the question

Knowing that 12 lawns can be mowed in 3 hours we will take that and find the unit rate, we do this by dividing the numbers by each other.

lawns÷hours= how many hours per lawn

12÷3 = 4  ← Meaning they can mow 1 lawn in 4 hours

Finding the unit rate is helpful because if you want from here you can just add it 18 times.

Now we are going to multiply 18 by our unit rate of 4 to find our answer

18×4 = 72

Meaning in 18 hours they can mow 72 lawns

Statement

Therefore in 18 hours they are able to mow 72 lawns

Answer: 72 lawns

Step-by-step explanation:

I did the test (K12)