Mark wants to invest $10,000 to pay for his daughter's wedding next year. He will invest some of the money in a short term CD that pays 12% interest and the rest in a money market savings account that pays 5% interest. How much should he invest at each rate if he wants to earn $1,095 in interest in one year?

Answer:

7.83 mm to km

7.83* 10^-6 or 7.83/10^6

0.00000783 km

The worst case complexity for the algorithm is O(n²)

In the worst case, every time we call the function findmin(list)

where list of length n, it will take  O(n)  operations.

For simplicity we can assume it will take n operations.

Since in each call , list decreases in one element  until it is finally empty.

the number of operations in the while loop is:

n(n-1)+(n-2)+....2+1 = n(n+1)/2= (n²+n)/2

Therefore the worst case complexity for the algorithm is O(n²).

Thus, time complexity is the number of activities a calculation performs to get done with its responsibility (taking into account that every activity requires some investment). The calculation that plays out the undertaking in the most modest number of activities is viewed as the most effective one regarding the time complexity.

To learn more about time complexities,

https://brainly.com/question/28014440

#SPJ4

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

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

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm

To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.

The formula for a confidence interval for the population mean (μ) is:

Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))

For the first situation:

n = 15

Confidence level is 95% (which corresponds to an alpha level of 0.05)

x = 35 (sample mean)

s = 2.7 (sample standard deviation)

Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.

The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.

Plugging the values into the formula:

Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))

Calculating the confidence interval:

Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)

Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.

For the second situation:

n = 37

Confidence level is 99% (which corresponds to an alpha level of 0.01)

x = 82 (sample mean)

s = 5.9 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.

The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.

Plugging the values into the formula:

Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))

Calculating the confidence interval:

Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)

Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.

For the third situation:

n = 1009

Confidence level is 90% (which corresponds to an alpha level of 0.10)

x = 0.9 (sample mean)

s = 0.04 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.

The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.

Plugging the values into the formula:

Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))

Learn more about Confidence interval here:

https://brainly.com/question/15712887

#SPJ8

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

For more questions on probability

https://brainly.com/question/251701

#SPJ8

Answer: 90 degrees

Step-by-step explanation: A circle is 360 degrees so since that is 1/4 you can divide

360/4 = 90 (: hope this helps

Answer:

90* x 4 = 360*

360* / 4 = 90*

Step-by-step explanation:

A circle has 360* all around.

In the angle that was drawn, it is 90*

The degrees for the space outside of 90* is x

x = ?                360* - 90* = 280*                 x = 280*

hope this helped

Answer:

1→ (4/4) / (4/4) = 1/1 = 1

2→ (4*4) / (4+4)= 16/8 = 2

3→ (4+4+4)/4 = 12/4 = 3

4→ (4-4)*4 + 4= 0*4 + 4= 4

5→ (4*4 +4) /4 = 20/4 =5

6→ 4+(4+4)/4 =  4+  8/4 = 4+2 =6

7→ 4+4 -4/4 = 8-1=7

8→ 4+4+4-4=12-4=8

9→ 4+4 + (4/4)= 8+1 =9

Step-by-step explanation:

After 8 years, Savings Account B will have more money because it is modeled by the equation A = 975 * (1 + 52.65 * t), where the investment grows at a much faster rate

Account A shows an end balance of approximately $1,622.40 after eight years based on a model of continual compounding with an annual percentage rate of 5.4%.

In contrast, account B's future balance prediction is roughly $411,641.00 at the end of an eight-year period, which utilizes a simple interest model and grows at breakneck speeds due to a growth percentage of 5265%.

After 8 years, Savings Account B will have more money because it is modeled by the equation A = 975 * (1 + 52.65 * t), where the investment grows at a much faster rate

Read more about savings account here:

https://brainly.com/question/30101466

#SPJ1

Each of two savings accounts begins with $975 as an initial deposit and 5.4% annual interest rate; however, the interest is accrued distinctly for each account. As demonstrated below in Table I:

- Savings Account A: A = 975 * (1 + 0.054 / 12) ^ (12 * t);

- Savings Account B: A = 975 * (1 + 52.65 * t).

Thus, after eight years, which account will yield a higher balance and why remains to be determined?

The total amount payable at the end of 4 years is 406

In this given sum we are provided with the values of principal , rate of interest , and the number of years , we are asked to calculate the amount payable after 4 years that is the matured amount which is calculated with the addition of the principal amount and the simple interest. For that we had to first find out the amount of interest and then we need to add that with the principal amount to get the matured amount or the amount that is payable at the end of 4 years.

here we have to apply the formulla of simmple interest :

(principal × rate of interest × no. of years )/ 100

In the given sum principal (p) = 350 , rate of interest (r) = 4% pa , no. of years (n) = 4

Simple interest = pnr/100

= (350 × 4 × 4)/100  = 56

Matured Amount = Principal + Interest

= 350 + 56 = 406

Learn more about simple interest here

https://brainly.com/question/26736329

#SPJ9

Among the four options provided, the benefits of consumer program are that they help prosecute companies that sell unsafe products to consumers and they also help consumers identify the best product reviews from various sources.

As per the question statement, we are required to determine the options from the given four, which are the best possible matches to being benefits of consumer program.

To solve this question, we will check for the possibility of every option by logical reasoning.

Option (A) is "They help prosecute company’s that sell unsafe products" which is true, and thus protects the consumer against frauds or exploits and health issues. Hence, this is definitely a benefit of consumer program.

Option (B) is "They’re funded by taxpayers not consumers" which is illogical because taxpayers are the consumers themselves. Hence, this is not a benefit of consumer program.

Option (C) is that "They help maintain industry standards by issuing professional licenses" which is false because forum has nothing to do with issuing licenses; It ensures that consumers are served with best quality products at the best prices and takes legal action against fraudulency. Hence, this is not a benefit of consumer program.

Finally, Option (D) is that "They help consumers identify the best product reviews from various sources" which is true. Hence, this is definitely another benefit of consumer program.

To learn more about Consumer Program, click on the link below.

https://brainly.com/question/15712633

#SPJ1

Part (a)

There are 7 red out of 7+3 = 10 total

==========================================================

Part (b)

We have 3 green out of 10 total

==========================================================

Part (c)

3/10 is the probability of getting green on any selection. This is because we put the first selection back (or it is replaced with an identical copy)

So (3/10)*(3/10) = 9/100 is the probability of getting two green in a row.

==========================================================

Part (d)

Similar to part (c) we have 7/10 as the probability of getting red on each independent selection.

(7/10)*(7/10) = 49/100

==========================================================

Part (e)

7/10 is the probability of getting red and 3/10 is the probability of getting green. Each selection is independent of any others.

(7/10)*(3/10) = 21/100

==========================================================

Part (f)

We have the exact same set up as part (e). Notice how (7/10)*(3/10) is the same as (3/10)*(7/10).

The weeks for which the team sold the same amount in percentages of candy bars are A. Weeks 1 and 2.

A percentage is a mathematical expression of the relationship between two numbers or variables.

It is also known as a ratio and is usually denoted as "%."

Week     Amount Sold

Week 1       32%

Week 2    eight twenty-fifths (8²⁰/₅₀)

Week 3 seventeen fifty-firsts (¹⁷/₅₁)

In percentage terms, the sales for each week are as follows:

Week 2    eight twenty-fifths (8²⁰/₅₀)

= 8²⁰/₅₀

= 160/500

= 32%

Week 3 seventeen fifty-firsts (¹⁷/₅₁)

= ¹⁷/₅₁

= 33%

Thus, the weeks for which the team sold the same amount in percentages of candy bars are A. Weeks 1 and 2.

Learn more about percentages at https://brainly.com/question/24877689

#SPJ1

Answer:

f(6) = 12

Step-by-step explanation:

We are given the following function:

\(f(x) = x^2 - 5x + 6\)

Evaluate the function f(6).

This is \(f(x)\) when \(x = 6\). So

\(f(6) = 6^2 - 5(6) + 6 = 36 - 30 + 6 = 12\)

f(6) = 12 is the answer.

Answer:

the time percentage is 17%

Step-by-step explanation:

The computation of the time percenatge in the case when the detector lie and done with the mistake is as follows:

L denotes the event  in which a person is lying.

NL denotes the event in which a person is not lying.

C denotes the event in which that lie detector works correctly

NC denotes the event in which  lie detector is not working correctly

Now

P(C|L) =0.8

And,

P(NC|L) is

=1 - .8

= 0.2

P(C|NL) =0.9

P(NC|NL) is

= 1 -.9

=.1

P(L) = 0.7

P(NL) is

= 1 - .7

= .3

Now

P(NC) =P(NC|L) × P(L) + P(NC|NL) × P(NL)

=. 2 × .7 + .1 ×.3

=. 14+.03

= 0.17

Hence, the time percentage is 17%

Answer:

48 reindeer

Step-by-step explanation:

the 5 part of the ratio relates to 60 moose , then

60 ÷ 5 = 12 ← value of 1 part of the ratio

then

4 × 12 = 48 ← number of reindeer

The width of the rectangular base of the pyramid is approximately 3.74 cm, and the length is approximately 11.22 cm (since it is given as 3x+1).

The base of a pyramid can be any polygon, such as a square or a triangle, but the height must always be measured perpendicular to the base.

Dimensions refer to the number of coordinates needed to specify the location of an object in space.

Based on the given information, we can set up an equation to solve for x, which is the width of the rectangular base of the pyramid:

Volume of pyramid = 1/3 × base area ×height

96 = 1/3 ×(3x+1) × x ×12

Simplifying the equation:

96 = 4x² + (4/3)x

Multiplying both sides by 3 to eliminate the fraction:

288 = 12x² + 4x

Rearranging the equation into a quadratic form:

12x² + 4x - 288 = 0

Dividing both sides by 4 to simplify the equation:

3x² + x - 72 = 0

We can then use the quadratic formula to solve for x:

x = (-b ± \(\sqrt{(b^2-4ac)}/2a\)

where a = 3, b = 1, and c = -72.

Plugging in the values:

x=(-1±\(\sqrt{1^2-4(3)(-72)} /2(3)\))

x=(-1±\(\sqrt{1+864} /6\))

x = (-1 ±\(\sqrt{865} /6\) )

Since the width of the base cannot be negative, we take the positive solution:

x = (-1 + √(865) / 6

Therefore, the width of the rectangular base of the pyramid is approximately 3.74 cm, and the length is approximately 11.22 cm (since it is given as 3x+1).

Learn more about rectangular base here:

https://brainly.com/question/16602334

#SPJ1

Answer:

6+3x=w

Step-by-step explanation:

6 *more* more always means +

and then three *times* times always means *

so it would equal 6+3x=w

Answer:

answer is A

Step-by-step explanation:

Answer:

\(144 $ Square feet\)

Step-by-step explanation:

The given triangular prism comprises of two equal right triangles and three rectangles.

The Surface Area of the Prism

=Area of Two Triangles + Area of Three Rectangles

\(=2(0.5X6X8)+(6X4)+(10X4)+(8X4)\\=48+24+40+32\\=144 $ Square feet\)

Answer: 144

Step-by-step explanation:32+24+4-+48=144

Answer:

b option im not sure but

Step-by-step explanation:

Answer:

Twice a number increased by five - 2x + 5

Five decreased by twice a number- 5 - 2x

Twice the difference of a number and five- 2(x - 5)

Twice the sum of a number and five= 2(x + 5)

Five subtracted from twice a number= 2x - 5

Twice a number, less five= 2x - 5

Step-by-step explanation:

a. Twice a number increased by 5

Assuming the number as x

Therefore, It's \({{\underline{\textsf{\textbf{2x + 5}}}}}\)

b. Five decreased by twice a number

Assuming the number as x

Therefore, It's \({{\underline{\textsf{\textbf{2x - 5 }}}}}\)

c. twice the difference of a number and five.

Assuming the number as x

Therefore, It's \({{\underline{\textsf{\textbf{2(x - 5)}}}}}\)

d. Twice the sum of a number and five

Assuming the number as x

Therefore, It's \({{\underline{\textsf{\textbf{2(x + 5)}}}}}\)

e. five subtracted from twice a number

Assuming the number as x

Therefore, It's \({{\underline{\textsf{\textbf{ 2x - 5}}}}}\)

f. twice a number, less five

Assuming the number as x

Therefore, It's \({{\underline{\textsf{\textbf{5 - 2x}}}}}\)

Answer: its actually 900

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Answer: C. 4x^2/3 is ur answer

\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.

The profit earned by selling w pear trees is 2w + 10

To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:

\((w^2 - 4w + 14) - (2w + 10)\)

Simplifying the expression:

\(w^2 - 6w + 4\)

Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ1

Answer:

\(\frac{2}{\frac{1}{24} }\)

Step-by-step explanation:

2/x = 48

48x = 2

x = (2)/ (1/24)

\(\frac{2}{\frac{1}{24} }\) = 48

Answer:

A) 1017.9

Step-by-step explanation:

the radius is the bottom line which is 9

The height is the line on the inside which is 12

1/3 x 3.14 x \(9^{2}\) x 12= 1017.36

but if you were to answer it with the pi symbol you would get the estamite of 1017.88 which rounded to the tenths is 1017.9