Paddy and Anna each invest $2000 for 5 years.

Paddy earns simple interest at a rate of 1.25% per year.

Anna earns compound interest at a rate of r% per year.

At the end of 5 years, Paddy's investment is worth the same as Anna's investment.

Calculate the value of r.

Answer:

2 2/3

Step-by-step explanation:

For each of her snack bag, she can fill it with a 1/3 cup of pretzels

1/3 x 8 = 2 2/3 cups

Answer:

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

sequence should be 1/6,1/3,1/2,2/3

common difference=1/3-1/6=2/6-1/6=1/6

or 1/2-1/3=(3-2)/6=1/6

or c.d.=2/3-1/2=(4-3)/6=1/6

Answer:

The answer is 1/6.

Step-by-step explanation:

I got it right when I did it.

To determine the general solution of the given homogeneous differential equation. So, the general solution to the given homogeneous differential equation is: \(y(x) = c*e^(2i√2x) + d*e^(-2i√2x)\)

To determine the general solution of the given homogeneous differential equation, we can start by assuming that the solution takes the form of \(y(x) = e^(rx)\), where r is a constant.

Substituting this into the differential equation, we get:
\(-r^2e^(rx) + 8e^(rx) - 16e^(rx) = 0\)

Factoring out e^(rx), we have:
\(e^(rx)(-r^2 + 8 - 16) = 0\)

Simplifying further, we get:
\(e^(rx)(r^2 - 8 + 16) = 0\\e^(rx)(r^2 + 8) = 0\)

Since e^(rx) is never equal to zero, we can set the expression in parentheses equal to zero:
\(r^2 + 8 = 0\)

Solving for r, we find:
\(r = ±√(-8)\)

Since we have a negative under the square root, the solutions for r will be complex numbers:
\(r = ±2i√2\)

Therefore, the general solution to the given homogeneous differential equation is:
\(y(x) = c*e^(2i√2x) + d*e^(-2i√2x)\)

Where c and d are arbitrary coefficients.

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Answer:

7 times 5 = 35

Step-by-step explanation:

The table has a greater rate of change.

The rates of change are equal.

In the given problem, we have a table showing the relationship between x and y values. By comparing the change in y with the change in x, we can determine the rate of change. Looking at the table, we observe that for every increase of 1 in x, there is a corresponding increase of 1 in y. Therefore, the rate of change for this table is 1.

The slopes are equal.

The equation has a greater slope.

In problem 2, we are given a linear equation in the form y = mx + b, where m represents the slope. The given equation is y = 2x + 7, which means the slope is 2. To compare the rates of change, we compare the slopes. If the slopes are equal, the rates of change are equal. In this case, the slopes are equal to 2, so the rates of change are the same.

The function rule has a greater slope.

The slopes are equal.

In problem 3, we are told that as x increases by 1, y increases by 3. This information gives us the rate of change between x and y. The slope of a function represents the rate of change, and in this case, the slope is 3. Comparing the slopes, we find that they are equal, as both have a value of 3. Therefore, the rates of change are the same.

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Answer:

х=-10...............

Answer:

2(x + 3) = x - 4

2x + 6 = x - 4

2x - x = - 4 - 6

x = - 10

(a)white, green, green, green, blue or green, white, green, green, blue, green, green, white, green, blue, or a green, green, green, white

​(b)14 outcomes.

There are many situations where we cannot forecast the results with certainty, but we can always state all the possible outcomes, such as when we toss a coin or roll a die. We refer to these occurrences as random phenomena or random experiments. These kinds of random events or experiments typically include probability theory. What, though, is a sample space? A sample space for the experiment is a collection of all such potential outcomes. In other terms, the sample space, which is typically represented by the letter S, is the collection or set of potential outcomes in a random experiment. When doing a random experiment, the sample space is represented.

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Answer:

£1,614.06

Step-by-step explanation:

Increase £854 by 89%

89% = 0.89

£854  * 1.89 = £1,614.06

Answer:

a couple different obes

Step-by-step explanation:

there are five

Answer: one is 10 and one is 12. Holy why was this so hard shouldn't this be as SAT/ACT problem?

Step-by-step explanation: 1/X + 1/X+2 = 11/60. THEN DO ALGEBRA THAT TOOK ME FOREVER IT WAS SO HARD.

Answer:

5/9 = 0.5

Step-by-step explanation:

hope it helps leme know if u hab doubts

Therefore , the solution of the given problem of percentage comes out to be 38 years old is the median age.

In statistics, a "a%" is a figure or statistic that is expressed as a percentage of 100. The words "pct," "pct," but instead "pc" are also not frequently used. However, the sign "%" is frequently used to represent it. The percentage sum is flat; there are no dimensions. Percentages are truly integers because their numerator almost always equals 100. Either the % symbol (%) or the additional term "fraction" must come before a number to denote that it is a percentage.

Here,

The following algorithm must be used to determine the mean age:

=> mean = (all years added together) / (total number of persons)

The representative age for each age group is the age that falls in the middle of the range. With this approach, we can determine the total age as follows:

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

=> 162 + 644 + 924 + 2970 + 4636 + 2688 + 1152 + 1520 + 272.25

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

According to the information provided, there are 460 people in total.

=> mean = 17745.25 / 460

=> mean = 17745.25 / 460

As a result, the average lifespan is roughly 38.552 years.

The age category in this instance with the highest frequency has a midpoint of 38 and a frequency of 122. As a result, 38 years old is the median age.

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All possibilities were discussed in order to write the required linear equation.

The given linear equation is:

\(10x+5y=20\)

An equation of the form ax+by+c=0 is called a linear equation where a, b, c∈R

For a unique solution, we need an equation ax+by+c=0 such that

\(\frac{10}{a} \neq \frac{5}{b}\)

For infinitely many solutions, we need an equation ax+by+c=0 such that

\(\frac{10}{a} =\frac{5}{b} =\frac{-20}{c}\)

Hence, all possibilities were discussed in order to write the required linear equation.

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9514 1404 393

Answer:

  2a. (360x +495)/(8x +11) = 45

  2b. 2((8x+11) +45) = 16x +112

Step-by-step explanation:

a) The area is the product of length and width.

  A = LW

We are given ...

  W = 8x +11

  A = 360x +495

The value of length can be found by solving for L:

  L = A/W

  L = (360x +495)/(8x +11)

The long-division solution to this is shown in the attachment.

  L = 45 . . . . simplified expression for length

__

b) The perimeter of the tank is twice the sum of length and width:

  P = 2(L +W)

Substituting the values for L and W, this is ..

  P = 2(45 +(8x +11)) . . . . expression for length of edge seal

  P = 2(8x +56)

  P = 16x + 112 . . . . . . simplified expression for seal length

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{10 {x}^{2} + 26x + 12}}}}}\)

Step-by-step explanation:

\( \sf{(5x + 3)(2x + 4)}\)

Use distribute property to multiply each term of the first binomial by each term of the second binomial.

\( \dashrightarrow{ \sf{5x(2x + 4) + 3(2x + 4)}}\)

\( \dashrightarrow{ \sf{10 {x}^{2} + 20x + 6x + 12}}\)

Collect like terms

\( \dashrightarrow{ \sf{10 {x}^{2} + 26x + 12}}\)

Hope I helped !

Best regards! :D

Answer: C

Step-by-step explanation:

Take your points (2,3)

Start with 2

Go over to the right 2 times

Now take 3

and go up 3 times

You will land on C

Answer:

C

Step-by-step explanation:

A = (3,2)

B = (2,2)

C = (2,3)

D = (3,3)

Answer:

(a) 0.635

(b) 0.498

Step-by-step explanation:

(a) The probability distribution is calculated using the cumulative distribution function of the Poisson as follows;

CDF  = \(F(x)=e^{-\lambda t}\sum_{i = 0}^{\left | x \right |}\dfrac{\lambda t^{i}}{i!}\)

For x = three we have;

CDF = 0.781

For x = one we have;

CDF = 0.1465

Therefore, the probability that between one and three inclusive = 0.781 - 0.1465 = 0.635

(b) For x = 2 we have;

CDF = 0.4395

For x = one we have;

CDF = 0.9378

Therefore, the probability that between one and three inclusive = 0.9378- 0.4395= 0.498

Answer:

1/2

Step-by-step explanation:

It appears to be 1/2 because the areas labeled "parrots" and "sparrows" takes up half of the pie chart. hope this helped!

Answer: the answer is 1 over 2 as a fraction

Step-by-step explanation:

In case of a 2.5% increase in your pay which is now $25,000, your new salary will be $25,625.

First, you need to determine the percent increase i.e.2.5% of 25,000 (old salary),

            2.5%      x     25,000     =     ?

           2.5/100   x    25,000     =  625

So, the $625 would be the increased amount in your salary which is equal to 2.5% of your old salary (i.e. 25,000).

In order to find out the amount of your new salary that you will be receiving, you have to add the increased amount to the amount of your old salary, as follows:

amount of the new salary =  amount of the old salary + percent increase

                                       =     $25,000 +   $625

                                       =       $ 25,625

When an increase of 2.5% is made in your salary which is now $25,000, then your new salary becomes $25,625.

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Answer:DDDDDD

Step-by-step explanation:

Danladi says that it cannot be rewritten as either of these expressions. He is correct.

It should be noted that 2³ × 42 will be:

= 2³ × 42

= 8 × 42

= 336

Therefore, Zoe says that 2³.42 can be rewritten as 86 and Juana says that it can be rewritten as.85. They're both wrong.

In the other hand, Danladi says that it cannot be rewritten as either of these expressions. Therefore, he is correct.

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Answer:

56/100

Step-by-step explanation:

The decimal place has 2 digits which indicates two zeros. So the denominator will be 100. And 56 will become the numerator.

Answer:$680

(if you ment $4.80 then it is $6.80, but i did not know just move your decimal

Step-by-step explanation

first you have to find the cost of one mango so you divide 480 by 12. You should get 40 (or .40 depending on the decimal.)then you do 40×17 and you should get 680 (again 6.80 depending on the decimal

Answer:

18. 3/4*2/1 = 6/4 = 1 2/4

(2/1 is the same thing as 2)

1 2/4 in simplest form = 1 1/2

20. 3/5*5/7 = 15/35

15/35 in simplest form = 3/7

Step-by-step explanation:

When you multiply fractions, you simply multiply across. For example, 3/4*2/1. You would multiply the numerator which is 3*2 which is 6. Then you would multiply the denominator which is 4. Your final answer is 6/4 which is 1 2/4 as a mixed fraction and can be simplified to 1 1/2. Another example is 3/5*5/7. You would multiply the numerator which is 3*5 which is 15. Then you would multiply the denominator which is 5*7 which is 35. Your final answer is 15/35 which can be simplified down to 3/7 because when you divide 15 and 35 both by 5, you get those numbers and you can't simplify it anymore. Hope this helps!

Answer:

incomplete question friend

In this case, since we want the sample mean to be within 0.01 of the population mean, the margin of error is 0.01.

To determine the number of grade-point averages needed to have a sample mean within 0.01 of the population mean, we can use the formula for the margin of error. The margin of error is calculated by dividing the standard deviation of the population by the square root of the sample size, multiplied by a constant value.

To find the required sample size, we need to know the standard deviation of the population. However, since it is not provided, we cannot calculate the exact number of grade-point averages needed.
If you have the standard deviation of the population, you can use the following formula to calculate the sample size:
Sample size = (Z * standard deviation) / margin of error

Where Z is the constant value that corresponds to the desired level of confidence. For example, if you want a 95% confidence level, Z would be approximately 1.96.

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To solve for the exact value of \( p \), we can use the Law of Cosines, \(which states that in a triangle with sides \( a \), \( b \), and \( c \), and angle \( A \) opposite side \( a \)\), the following relationship holds:

\(\[ c^2 = a^2 + b^2 - 2ab\cos(A) \]\)

Given that\(\( A = 60^\circ \), \( a^2 = 124 \), and \( b = 10 \)\), we can substitute these values into the equation:

\(\[ c^2 = 124 + 10^2 - 2 \cdot 10 \cdot \sqrt{124} \cdot \cos(60^\circ) \]\)

Simplifying further:

\(\[ c^2 = 124 + 100 - 20\sqrt{124} \cdot \frac{1}{2} \]\[ c^2 = 224 - 10\sqrt{124} \]\)

\(Comparing this equation to \( c^2 - 10c - 21 = p \), we can determine that \( p = 224 - 10\sqrt{124} - 21 \).Therefore, the exact value of \( p \) is \( p = 203 - 10\sqrt{124} \).\)

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Answer:

Step-by-step explanation: