A $24,500 invetment wa made by Adam into two different pharmaceutical fund. Part of it wa inveted in a fund that earned 7% per annum and the remainder in a fund that earned 3% per annum. The total interet received after one year wa $1,375. Find the amount inveted into each of the two fund

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

Learn more about Budget:

https://brainly.com/question/26894404

#SPJ11

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

To know more about Mean visit-

brainly.com/question/26062194

#SPJ11

Answer: d.) 15 feet

Step-by-step explanation:

The figure is a rectangle (parallelogram), and diagonals in rectangles are congruent (equal). If one diagonal is 15, then the other must also be 15.

Answer:

yes

Step-by-step explanation:

The power series you provided is Σ(22kx). To determine the radius of convergence (R), we can apply the Ratio Test. The Ratio Test states that if the limit as k approaches infinity of the absolute value of (a_(k+1)/a_k) exists, then the series converges. In this case, a_k = 22kx.

Now, let's find the limit:

lim (k→∞) |(22^(k+1)x) / (22^kx)|

We can rewrite this as:

lim (k→∞) |22x|

Since there's no k term remaining in the limit, the limit is dependent on x. Therefore, the series converges for all x. This means that the radius of convergence R is infinite.

To determine the interval of convergence, we can observe that the series converges for all x values due to the infinite radius of convergence. Therefore, the interval of convergence is (-∞, +∞). In summary, the radius of convergence R is infinite, and the interval of convergence is (-∞, +∞).

Learn more about series here:

https://brainly.com/question/15415793

#SPJ11

Answer:

Step-by-step explanation:

The easiest and most proper way to approach this task is to combine like terms inside parentheses:  (24x + 7 – 12x) => (12x + 7).

Then (1/4)(24x + 7 – 12x) = (1/4)(12x + 7).  This is an acceptable answer.  There is the option of carrying out the multiplication, which results in

3x + 7/4, which is another acceptable answer.

The variables of the test statistic may be determined to be \($s _1$\), \($s _2$\), \($n_ 1, n _2$\), t, which is the t - distribution test statistic, and \($x _1, x _2$\), which is the mean of the two samples.

When the variances of the two groups are not equal, pooled standard deviation estimations cannot be used. As an alternative, we must determine the standard error for each group separately. The variables of the test statistic may be determined to be \($s _1$\), \($s _2$\), \($n_ 1, n _2$\), t, which is the t - distribution test statistic, and \($x _1, x _2$\), which is the mean of the two samples.

The formula for this type of test statistic is given by -

\($t=\frac{x_1-x_2}{\sqrt{\frac{s_1^2}{n_1}+\frac{x_2}{n_2}}}$$\)

Here, the variables can be defined as below -

\($s_1^2, s_2^2=$\) variance of two samples

\($n_1, n_2=$\) respective sizes of the two samples

t = t - distribution test statistic

\($x_1, x_2=$\) Mean of the two samples

As a result, the variables of the test statistic can be determined to be \($s _1, s _2$\), which represents the variance of two samples, \($n _1, n _2$\), which represents the size of the two samples, t, which represents the t-distribution test statistic, and \($x _1, x _2$\), which represents the mean of the two samples.

The complete question is:

The formula for the test statistic used for a two sample test of means where the population variances are unknown and unequal is:

t = X1−X2√s12/n1+s22/n2X1-X2s12/n1+s22/n2

Match the variables to their description.

To learn more about test statistic refer to:

brainly.com/question/14128303

#SPJ4

Answer:

Put a Greater than symbol >

Step-by-step explanation: That question is showing absolute value which is basically the amount it takes to get there from zero.

-5 with absolute value becomes a regular 5

Answer:

its >

Step-by-step explanation:

Answer:

To calculate how many standard deviations away from the mean an ACT score of 31 is, we need to use the formula:

z = (x - μ) / σ

Where:

x = ACT score of 31

μ = mean of ACT scores (28)

σ = standard deviation of ACT scores (2)

z = number of standard deviations away from the mean

Substituting the values, we get:

z = (31 - 28) / 2

z = 1.5

Therefore, an ACT score of 31 is 1.5 standard deviations away from the mean.

Answer:

11/13

Step-by-step explanation:

"six lemon-lime and seven orange"

"Two of  the lemon-lime and four of the orange  drinks are cold"

2 lemon-lime are cold

4 lemon-lime are warm

4 orange are cold

3 orange are warm

Total orange flavored: 7

Not orange warm: 4

orange or warm: 11

p(orange or warm) = 11/13

The probability of grabbing a bottle that is orange flavored or warm is \(\frac{11}{13}\)

'Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.'

According to the given problem,

Total number of drinks = 13

Number of lemon-lime drinks = 6

Number of orange drinks = 7

Number of drinks that are cold = 2 lemon-lime + 4 orange

                                                   = 6 drinks

Number of drinks still warm = 7

Probability = \(\frac{Number of possible events}{Total number of events}\)

                  = \(\frac{7 + 4 }{13}\) [ 7 + 4 because 7 are orange flavored and 4 lemon-lime              

                            drinks are warm.]

                   = \(\frac{11}{13}\)

Hence, we can conclude, the probability of grabbing a bottle that is orange or warm is \(\frac{11}{13}\).

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ2

We assume that the population standard deviation are known, the samples from each population are independent, the population is normally distributed if we use t test of two samples.

Given T test of significance has been used.

T test is a statistical test that is like z test. Z test is used when n>30 and t test is used when n<30. It is used in hypothesis testing.

We know that there are many test which can be used to test a hypothesis.

The requirements to perform a two sample t procedure are as follows:

1)The two samples have equal variance. Hence the variance should be known.

2) The samples for which the two sample t procedure is performed must be independent.

3) The data are in alignment with the normal distribution probability.

4) The sample are random samples taken from different respective population.

Hence when two sample t procedure is performed we have to assume population standard deviation is known and population is normally distributed.

Learn more about T test at https://brainly.com/question/6589776

#SPJ4

Answer: 24 Units

Step-by-step explanation:

Got it right on edge!

Answer:

5.83 = CD

Step-by-step explanation:

We can use the pythagorean theorem to solve

The legs are the x and y distances

x = (1- -4) = 5 units and y = 3 units

a^2+ b^2 = c^2

5^2 + 3^2 = c^2

25+9 = c^2

34 = c^2

Taking the square root of each side

sqrt(34) = c  which is the distance from C to D

5.830951895 = CD

5.83 = CD

Answer:

C. 5.83

Step-by-step explanation:

This is the correct answer I took the exam

Answer:

The set of natural numbers is the set of all positive integers, then this set is:

{1, 2, 3, ...}

and the 24th letter of the alphabet is x

Now we want to write the expression given in the sentence "It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"

We can "break" this in parts, so it is easier to understand.

Then:

"...the sum of the first 3 natural numbers..."

is:

1 + 2 + 3

Then:

"...the sum of the first 3 natural numbers, followed by the 24th letter of the alphabet"

This can be written as:

(1 + 2 + 3) + x

Now we can analyze the complete sentence:

"It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"

This is equal to the expression we found above plus one, then we can write this as:

[(1 + 2 + 3) + x] + 1

[6 + x] + 1

6 + x + 1

7 + x

Answer:

19.79+x >= 25

x>=5.21

Step-by-step explanation:

When three circles of radius 1 are externally tangent to each other and internally tangent to a larger circle.  Then the radius of the large circle will be 2.83

The radius of the larger circle can be calculated using the Pythagorean theorem. The three small circles are externally tangent, meaning the distance between their centers is 2.

Therefore, the distance between the center of the large circle and the centers of the small circles must also be 2. The hypotenuse of the triangle is formed by the centers of the small circles and the center of the large circle is the radius of the large circle. This is equal to the square root of 8

√8=2.83.

Therefore, the radius of the large circle is 2.83.

Learn more about circle:

https://brainly.com/question/24375372

#SPJ4

The answer is

6, 12

hope this helps!

Step-by-step explanation:

3x x 10 = 22

3x x 10 - 10 = 22 - 10

3x = 12

3x ÷ 3 = 12 ÷ 3

x = 4

5x + 8

5(4) + 8

20 + 8

28

The length of the hypotenuse of a 45-45-90 triangle is √2x units.

To find the hypotenuse of a 45-45-90 triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse).

Let's denote the length of each leg of the triangle as "x". Since the triangle is isosceles, both legs are of equal length. Therefore, we can write:

Leg 1 = Leg 2 = x

To find the length of the hypotenuse (which we'll call "h"), we can use the Pythagorean theorem as follows:

x² + x² = h²

Simplifying this equation, we get:

2x² = h²

To solve for h, we need to take the square root of both sides of the equation:

√(2x²) = √(h²)

√2 * x = h

To know more about triangle here

https://brainly.com/question/8587906

#SPJ4

Answer:

10

Step-by-step explanation:

sum of two Number the second Number is 5x the first so....

45+5=10

so five times equal to 5+5=10

so the first is 45 second Number is 10

The time it take riders to pass over the hill and reach ground level is 111.19 seconds .

Given :

the roller coaster's height expressed by the equation below;

h = -0.067t^2 + 7t + 50

where

t is the time in seconds

The driver will hit the ground at the point where h = 0

Substitute

-0.067t^2 + 7t + 50 = 0

Multiply through  by -1

0.067t^2 - 7t +-50 = 0

Factorize :

On factorizing, the positive value of "t" is 111.19 seconds

Hence the time it take riders to pass over the hill and reach ground level is 111.19 seconds

Learn more about the equation here:

https://brainly.com/question/10413253

#SPJ4

Answer:

Step-by-step explanation:

Supplementary angles have a sum of 180 degrees.

a+a-27.2=180

2a-27.2=180

2a=207.2

a=103.6, and since b=a-27.2

b=76.4

So one angle is 103.6 degrees and the other is 76.4 degrees.

These are answers of asked question.

A. To factor out the Greatest Common Factor (GCF) of the expression 3t^4 - 6t^3 - 9t + 12, we need to identify the highest power of t that can be factored out. In this case, the GCF is 3t. So we can rewrite the expression as follows:

3t^4 - 6t^3 - 9t + 12 = 3t(t^3 - 2t^2 - 3) + 3t(4)

The GCF, 3t, is factored out from the first two terms, leaving us with t^3 - 2t^2 - 3. The last term, 12, is divisible by 3t, so it becomes +3t(4). Therefore, the factored form of the expression is:

3t(t^3 - 2t^2 - 3) + 3t(4)

B. To factor the expression g^2 - 5g - 14 using the Distributive Method, we look for two numbers whose product is -14 and whose sum is -5 (the coefficient of the middle term). In this case, -7 and +2 satisfy these conditions. So we can rewrite the expression as follows:

g^2 - 5g - 14 = (g - 7)(g + 2)

Using the Distributive Property, we multiply (g - 7) by (g + 2) to verify the factoring:

(g - 7)(g + 2) = g(g) + g(2) - 7(g) - 7(2) = g^2 + 2g - 7g - 14 = g^2 - 5g - 14

Therefore, the factored form of the expression is:

(g - 7)(g + 2)

C. To factor the expression r^2 - 64, we can use the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b). In this case, a = r and b = 8, since 8^2 = 64. So we can rewrite the expression as follows:

r^2 - 64 = (r + 8)(r - 8)

Using the difference of squares formula, we can multiply (r + 8) by (r - 8) to verify the factoring:

(r + 8)(r - 8) = r(r) - r(8) + 8(r) - 8(8) = r^2 - 8r + 8r - 64 = r^2 - 64

Therefore, the factored form of the expression is:

(r + 8)(r - 8)

D. To factor the expression 9p^2 - 42p + 49, we look for two numbers whose product is 49 and whose sum is -42 (the coefficient of the middle term). In this case, -7 and -7 satisfy these conditions. So we can rewrite the expression as follows:

9p^2 - 42p + 49 = (3p - 7)(3p - 7)

Using the Distributive Property, we multiply (3p - 7) by (3p - 7) to verify the factoring:

(3p - 7)(3p - 7) = 3p(3p) - 3p(7) - 7(3p) - 7(7) = 9p^2 - 21p - 21p +

To know more about expressions , refer here :

https://brainly.com/question/28170201#

#SPJ11

The measure of angle x of the right angled triangle is x = 22°

Given data ,

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

Now , the angle ∠ABC = 90° ( given )

So , the measure of ∠68° + x° = 90°

Subtracting 68° on both sides , we get

x = 90 - 68

x = 22°

Hence , the angle is x = 22°

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ1

Answer:

Solution given:

Relationship base and hypotenuse is given by Cos angle

Now

Cos 60°=adjacent/hypotenuse=x/12

1/2=x/12

x=12/2

x=6

the value of x is 6.

Answer:

my nut is ytellow

Step-by-step explanation:

The value that would complete the table to make the relationship between the two quantity proportional is 4.

When two quantities are proportional, their relationship is constant for all values and as one quantity rises, the other rises as well.

A proportional relationship exists between two quantities if they can be written in the general form y = kx, where k is the proportionality constant. In other words, the ratio between these amounts never changes. In other words, no matter which pair of the two numbers you divide, you always obtain the same number k.

The value that would complete the table to make the relationship between the two quantity proportional is 4.

To know more about quantity proportional visit:-

https://brainly.com/question/21752723

#SPJ4

Answer:

Alternate exterior angles