pls help asap!! i’ve been trying to solve this for a bit and i’m really confused

If an account has an APR of 4% and quarterly compounding, it means that the interest is calculated and added to the account every three months. An account with an APR of 4% and quarterly compounding increases in value every 3 months by: a. 1%

a. If the account increases in value by 1% every three months, it means that the quarterly interest rate is 1%. Therefore, after one year, the account would have earned 4 quarters of 1% interest, totaling 4% in interest for the year.

b. If the account increases in value by 1/4% every three months, it means that the quarterly interest rate is 0.25%. Therefore, after one year, the account would have earned 4 quarters of 0.25% interest, totaling 1% in interest for the year.

c. If the account increases in value by 4% every three months, it means that the quarterly interest rate is 4%. However, this is not possible as it would result in a 16% annual interest rate, which is much higher than the stated APR of 4%.
An account with an APR of 4% and quarterly compounding increases in value every 3 months by:

a. 1%

Here's the step-by-step explanation:

1. First, note that the account has an Annual Percentage Rate (APR) of 4%. This means that if the account were to compound annually, the value would increase by 4% every year.

2. However, the account compounds quarterly, which means the interest is calculated and added to the account balance four times per year (every 3 months).

3. To find the interest rate for each quarter, divide the annual rate (4%) by the number of quarters in a year (4):
  4% ÷ 4 = 1%

So, the account increases in value every 3 months by 1%.

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Answer:

This is a quadratic (second-degree) polynomial.

Answer:

2000

Step-by-step explanation:

I just know

Answer:

D) FJ is a perpendicular bisector

Answer:

D. -∞ < y < 5

Step-by-step explanation:

The range are all the possible values for y that the function can take. In the graph we can see that the highest value for y is 5 and there isn't a lowest value for y. It means that the range are values between -∞ and 5.

So the range is:

-∞ < y < 5

For a loan, simple interest makes the customer pay interest only for the amount of the loan.

Compound interest makes the customer pay interest for the loan balance at the end of each payment period. In other words, the customer pays interest over interest based on the remaining balance.

Of course, the best option for the bank is that the customer pays more often so the interest adds up more times for the loan duration.

The daily compound interest is the best choice for the bank because the loan recalculates every day, that is, 360 (or 365) times a year as compared to the monthly, quarterly, or yearly compound interest.

Answer: E. Compound interest daily

Answer:

22 + 63 = 20 + 65

Step-by-step explanation:

Hope this helps!

Answer:

22 + 63 is the same as 20 +  65

Step-by-step explanation:

Hope this helped!

The term that suggests that the threat of loss has a greater impact on a decision than the possibility of an equivalent gain is prospect theory.

Prospect theory is a theory that describes how individuals make decisions under uncertainty. The theory suggests that people think about gains and losses differently and that the value they assign to a particular change in their situation depends on their current situation. The theory is based on the observation that people often violate the principle of expected utility. They make decisions that do not maximize their expected utility. The theory suggests that people evaluate outcomes based on changes from a reference point, rather than in absolute terms. This means that people are more sensitive to changes in their situation than to the situation itself.

For example, a loss of $100 is more painful than the pleasure of gaining $100, and the pleasure of gaining $100 is less than the pain of losing $100.

In summary, Prospect theory suggests that the threat of a loss has a greater impact on a decision than the possibility of an equivalent gain.

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Answer:

Sure! Your answer is about 315.33.

Step-by-step explanation:

If you want to figure this out by yourself, just open a calculator and do 946 * 0.33. You could also find this by dividing 946 by 3.

Please like and mark brainliest!

Hope it helps!

The probability that a pupil uses neither pool nor gym is 11/70

Probability is the likelihood that an event will happen. This can range from an event being impossible to some likelihood to being absolutely certain. In math terms, probability is on a scale from 0 to 1. Zero means the event is impossible, like rolling a seven on a die that only has digits from 1 to 6.

Number of pupil that can use pool and gym = 28

Number of people that can use pool = 48

Number of people that can use gym = 39

Number of people that can use pool only = 48 - 28 which is 20

Number of people that can use gym only = 39 - 28 = 11

Total number of persons that can use either pool, gym or both = 20 + 11 + 28 which is 59

Number of people that cannot use either or both of the facilities = 70 - 59 which is 11.

Probability = required outcome / possible outcome

Required outcome = 11

possible outcome = 70

Probability = 11/70

In conclusion, the probability that a pupil uses neither swimming pool nor gym is 11/70

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Answer:

he could run 240 miles in 30 days

Step-by-step explanation:

your welcome

Answer/Step-by-step explanation:

8 (x) = m

-----------------------

8 miles (days of the month) = total miles ran

Answer:

Step-by-step explanation:

Since the lengths of the shelves are given in cm and the answer is to be expressed in cm, then let's convert the length of the whole board from 2.5 m to cm. Since there are 100 cm in a m, then multiply 2.5 by 100 to get 250 cm. Now let's start with the expressions for the shelves. The lengths of all the shelves are based on the length of the first shelf. You can usually tell which object is the main one because it is mentioned the most number of times. The first shelf is mentioned 3 times so that is the main shelf that the measurements of all the other shelves are based upon. Let's call the first shelf x. The second shelf is 18 cm longer than twice the length of the first so the second shelf is 2x + 18.

The third shelf is 12 cm shorter than the first so the third shelf is x - 12.

The last shelf is 4 cm longer than the first shelf so the last shelf is x + 4. Since he needs to use all 250 cm of the board, we add all the shelves together and set them equal to 250 cm:

x + 2x + 18 + x - 12 + x + 4 = 250 and

5x + 10 = 250 and

5x = 240 so

x = 48. The first shelf is 48 cm long. But we need the length of the second shelf. The expression for the second shelf is 2x + 18, so 2(48) + 18 = 114 cm.

17/3

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

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Answer:

B, Rectangle.

It takes the Orlando Eye approximately 22 minutes to complete one full revolution.

What is a circle?

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The circumference of a circle is given by 2πr, where r is the radius.

For the Orlando Eye Ferris wheel with a radius of 195 feet, the circumference is:

C = 2π(195) = 390π feet

The time it takes to complete one full revolution is equal to the circumference of the wheel divided by the speed of the cars:

t = C / v

where v is the speed of the cars, which is approximately 0.927 feet per second. Substituting the values, we get:

t = (390π) / (0.927) seconds

Converting to minutes, we divide by 60:

t = (390π) / (0.927*60) minutes

Simplifying, we get:

t ≈ 21.8 minutes

Hence, it takes the Orlando Eye approximately 22 minutes to complete one full revolution.

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Step-by-step explanation:

so the rate (or ratio) between both currencies is

0.0071 / 1

as you can see, such a rate of ratio is actually a fraction in appearance and handling.

now if we multiply one side by a factor, we need to multiply also the other side by the same factor to keep the value of the fraction overall unchanged.

in our case the right (or bottom) side is multiplied by 5000, as the exchange of 1 Yen is done 5000 times when changing 5000 Yen.

so, we need to multiply also the other side by 5000 to give us the amount of Pound needed to keep the rate (or ratio) unchanged.

so, we get

0.0071/1 × 5000/5000 = 35.5 / 5000

that means he gets £35.5 for his 5000 JPY.

If Itsuki exchanges ¥5,000 JPY at the current exchange rate of £0.0071 GBP to ¥1 JPY, he will receive £35.50 GBP.

If the current exchange rate is £0.0071 GBP to ¥1 JPY, then for every ¥1, you will receive £0.0071. If Itsuki exchanges ¥5,000 JPY, he will receive 5,000 x 0.0071 = £35.50 GBP.

To put it concisely, if Itsuki exchanges ¥5,000 JPY at the current exchange rate of £0.0071 GBP to ¥1 JPY, he will receive £35.50 GBP.

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Answer:

that is a quadratic function so yes it is a function

Step-by-step explanation:

it is a function becausr you can write an equation with it. Hope I could help!

Using the z-distribution, it is found that the p-value is of 0.03.

At the null hypothesis, it is tested if the proportion is of 0.5, that is:

\(H_0: p = 0.5\)

At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:

\(H_a: p \neq 0.5\)

The test statistic is given by:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

For this problem, the parameters are: \(p = 0.5, n = 150, \overline{p} = \frac{62}{150} = 0.4133\)

Hence, the value of the test statistic is:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.4133 - 0.5}{\sqrt{\frac{0.5(0.5)}{150}}}\)

\(z = -2.12\)

The p-value is found using a z-distribution calculator, with z = -2.12 and a two-tailed test, as we are testing if the mean is different of a value, hence it is of 0.03.

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Consider the same figure as given above. It is observed that DP/PE = DQ/QF and also in the triangle DEF, the line PQ is parallel to the line EF.

So, ∠P = ∠E and ∠Q = ∠F.

Hence, we can write: DP/DE = DQ/DF= PQ/EF.

The above expression is written as

DP/DE = DQ/DF=BC/EF.

It means that PQ = BC.

Hence, the triangle ABC is congruent to the triangle DPQ.

(i.e) ∆ ABC ≅ ∆ DPQ.

Thus, by using the AAA criterion for similarity of the triangle, we can say that

∠A = ∠D, ∠B = ∠E and ∠C = ∠F.

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Answer:

Step-by-step explanation:

The equation for an arithmetic sequence is

\(a_n=a_1+d(n-1)\)  where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.

Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:

\(a_n=2+3(n-1)\) which simplifies to

\(a_n=2+3n-3\) and a bit more to

\(a_n=3n-1\) (which should tell you that arithmetic sequences are lines!)

Finding the 13th number simply requires that we replace n with 13 and solve:

\(a_{13}=3(13)-1\) so

\(a_{13}=38\)

Answer:

38

Step-by-step explanation:

This isn't the most efficient way but it's the best I can do.

2, 5, 8, 11....

The pattern is that we add 3 every time.

2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38,

1 , 2, 3, 4, 5,  6,   7,    8,    9,   10,  11,   12,  13

We can see that 38 is the 13th term of the sequence.

7-(-4) is 4 units from 7 in the negative direction. See the explanation and the linear scale attached.

The direction being referred to is the direction of the number on a numerical scale or Linear Scale.

In the attached linear scale, we can see that the arrow stops at 11. This is arrived at by expanding the bracket:

7 - (-4)

the subtraction signs cancel out each other creating a positive sign. Hence we have:

7 + 4

= 11.

Hence, 11 is 4 units away from 7 in the negative direction. That is going toward zero is negative or a reduction hence, to get to 7 you need to go toward the negative section of the scale.

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Answer: it’s lar and we can’t compete against each other

Step-by-step explanation:

Answer:-115

Step-by-step explanation:

Use distributive property!

-5 times 20 = -100

-5 times 3 = -15

-100 - 15 = 115

Answer: the answer is -115

Step-by-step explanation:

The total number of arrangements, we can simply add up the results from each case:

C(21,8) + C(5,1) C(21,7) 8 + C(5,2) C(21,6) 2

Now, We can solve this problem, we can break it down into three cases, based on the number of vowels included in the arrangement.

Hence, Here are the three cases:

Case 1: No vowels included: In this case, we need to select 8 letters from the 21 consonants in the alphabet.

This can be done with C(21,8) ways.

Case 2: One vowel included:

Here, we need to select one of the five vowels and then select 7 letters from the 21 consonants.

The vowel can be placed in any of the 8 positions, but once it is placed, the other vowels must be placed in alphabetical order.

Therefore, the number of arrangements in this case is, C(5,1) C(21,7) 8.

Case 3: Two vowels included: In this case, we need to select two of the five vowels, and then select 6 letters from the 21 consonants.

Again, the vowels must be placed in alphabetical order once they are selected.

However, we have two possible orders to place the vowels - either at the start or in the middle of the 8-letter arrangement.

Therefore, the number of arrangements in this case is C(5,2) C(21,6) 2.

So, The total number of arrangements, we can simply add up the results from each case:

C(21,8) + C(5,1) C(21,7) 8 + C(5,2) C(21,6) 2

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Answer:

n=3.5 a=1.41 units  a'=4.95 units b3 units b'10.5 units c2.24 units c'=7.83 units

Step-by-step explanation:

This answer assumes that n = 3.5. The ratio of each side length on  to the corresponding side length on  is equal to 3.5. For example, a′ = 3.5a. The ratio is equal to the scale factor, n.

The equation of the tangent at point (1, ln(3)) on the function is:

\(y=(\dfrac{2}{3} + \dfrac{2}{3 \ ln(2)})+ln(3)\)

To find the equation of the line tangent to the graph of \(y = ln(x^2 + 2^x)\) at the point (1, ln(3)), we need to determine the slope of the tangent line at that point.

The slope of the tangent line can be found by taking the derivative of the function \(y = ln(x^2 + 2^x)\) and evaluating it at x = 1.

Let's find the derivative:

\(\dfrac{dy}{dx} = \dfrac{1}{(x^2 + 2^x))} (2x + 2^x \cdot ln(2))\)

Now we can evaluate the derivative at x = 1:

\(\dfrac{dy}{dx} = \dfrac{1}{(1^2 + 2^1))} (2x + 2^1 \cdot ln(2))\\\dfrac{dy}{dx} = \dfrac{1}{(1 + 2))} (2x + 2 \cdot ln(2))\\\dfrac{dy}{dx} = \dfrac{1}{3} (2x + 2 \cdot ln(2))\)

So, the slope of the tangent line at x = 1 is:

\(\dfrac{2}{3} + \dfrac{2}{3 \ ln(2)}\)

The equation of the tangent at point (1, ln(3)) on the function can be calculated as:

\(y-ln(3)=\dfrac{2}{3} + (\dfrac{2}{3 \ ln(2)})(x-1)\\y=(\dfrac{2}{3} + \dfrac{2}{3 \ ln(2)})+ln(3)\)

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