3. Brinn’s rectangular kitchen has an area of 81 square feet. The kitchen is 9 times as many square feet as Brinn’s pantry. If the rectangular pantry is 3 feet wide, what is the length of the pantry?

The three Cs of credit are character, capacity, and capital, which represent the creditworthiness of an individual or business as assessed by lenders based on reputation, ability to repay, and assets for collateral respectively.

The three Cs of credit refer to character, capacity, and capital. These are the main criteria that lenders consider when assessing the creditworthiness of an individual or business. Character refers to the borrower's reputation and track record for repaying debts. Capacity is the borrower's ability to repay the loan, determined by their income and existing debt levels. And capital relates to the wealth or assets the borrower can offer as collateral. When banks conduct credit checks or require a co-signer, they are evaluating these aspects to decide on lending money.

Using the compound interest formula, it will take approximately 24.53 years for an initial investment of $1,500 to grow to $7,300 at an annual interest rate of 6.75%. This is calculated by solving for t in the rearranged compound interest formula.

To determine how many years it will take for your $1,500 investment to reach $7,300 with an interest rate of 6.75% compounded annually, we use the formula for compound interest:

[tex]A = P(1 + r/n)^{(nt)[/tex]

Where:

We rearrange the formula to solve for t:

t = (log(A/P) / log(1 + r/n)) / n

Plug in the known values:

t = (log(7300/1500) / log(1 + 0.0675)) / 1

Calculate the logarithms:

t ≈ (log(4.8667) / log(1.0675))

t ≈ (0.6887 / 0.0281)

t ≈ 24.53

It will take approximately 24.53 years for the investment to grow to $7,300.

Mr. and Mrs. Number are so happy because they are both prime numbers, which are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.

For example:

Mr. Number could be 2, as it is divisible only by 1 and 2.

Mrs. Number could be 3, as it is divisible only by 1 and 3.

Prime numbers have unique properties and are considered special in mathematics. They play a fundamental role in number theory and various mathematical algorithms. Additionally, prime numbers are essential in cryptography, ensuring secure communication and data encryption.

So, Mr. and Mrs. Number are happy because they share the special quality of being prime numbers, making them quite unique and valuable in the mathematics.

Learn more about Prime here:

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The answer is A. 10 feet, on Plato.

Answer:

previous is correct

Step-by-step explanation:

The correct answer is:

A) Capital.

Explanation:

Capital is any valuable assets that you have such as real estate, personal property, or savings and investments that you could possibly use to repay credit debts if necessary.

Anna has put her money into various investments. These are Anna's capital.

A capital amount is the money that is needed to start any business venture or investment. Capital is also an asset of any person. Apart from personal money, capital also include funds in ones deposit accounts, tangible things like machinery used for production purposes etc.

Answer

2x^2+4x-30

Step-by-step explanation:

Foil

First

Outside

Inside

Last

To find the height that allows a person to see 50 kilometers, we set the given function equal to 50 and solve for h. This calculation gives us the height as approximately 0.2 kilometers.

The question requires us to find the height h that would allow a person to see 50 kilometers, given the function D(h)=111.7 * sqrt(h).

We can solve this by setting the function equal to 50 and then solving for h. Like so: 50 = 111.7 * sqrt(h).

To isolate sqrt(h), we divide both sides of the equation by 111.7: sqrt(h) = 50 / 111.7.

Then we square both sides of the equation to solve for h: h = (50 / 111.7)^2.

Upon calculating the right side of this equation, we find that the height is approximately 0.2 kilometers.

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The answer for this question is 0.2 Kilometers or 200 meters(approx.)

The detailed explanation is as follows :

The maximum distance D(h) in kilometers that a person can see from a height h kilometers above the ground is given by the function D(h)=111.7 times square root of h. We need to find the height that would allow a person to see 50 kilometers.

To solve this problem, we need to find the height h that allows a person to see a distance of 50 kilometers. We start with the given function:

D(h) = 111.7 * sqrt(h)

We set D(h) to 50 kilometers:

50 = 111.7 * sqrt(h)

To isolate sqrt(h), we divide both sides by 111.7:

sqrt(h) = 50 / 111.7

Next, we calculate the division:

sqrt(h) ≈ 0.4475

Now we square both sides to find h:

h = (0.4475)^2 ≈ 0.2002

Therefore, the height that allows a person to see 50 kilometers is approximately 0.2002 kilometers, or 200.2 meters above the ground.

Hence the required answer is 0.2 kilometers or 200 meters(approximately)

To find out how many people responded Orlando, we need to add up the fractions for Miami, Kissimmee, Fort Lauderdale, Key West, and Tampa and then set up a proportion to find the number of people who said Orlando. The answer is approximately 47 people.

To find out how many people responded Orlando, we need to add up the fractions for Miami, Kissimmee, Fort Lauderdale, Key West, and Tampa since the rest said Tampa. The fractions we need to add are 1/4, 1/8, 1/16, and 1/32. Let's calculate each fraction to get a common denominator.

1/4 = 8/32, 1/8 = 4/32, 1/16 = 2/32, 1/32 = 1/32.

Now we can add them up: 8/32 + 4/32 + 2/32 + 1/32 = 15/32.

Since the remaining fraction is Tampa, which corresponds to 22 people, we can set up a proportion: 15/32 = 22/x to find out how many people said Orlando. Cross-multiply and solve for x: 32 * 22 = 15x, 704 = 15x, x = 704/15, x ≈ 46.93.

Therefore, approximately 47 people responded Orlando.

Answer:

90 degree and  [tex]\frac{pi}{180}[/tex] radians.

Step-by-step explanation:

Given  :  Angle formed by the hands of a clock at 3:00

To find : Write in  term of degrees and radians ...

Solution : We have given that a clock show the time 3 :00

We know that at 3 : 00 clock show hour hand at 3 and minute hand at 12.

Angle formed by the minute hand at 12 and hour hand at 3 is 90 degree.

90 degree =  [tex]\frac{pi}{180}[/tex] radian.

Therefore, 90 degree and  [tex]\frac{pi}{180}[/tex]radians.

Answer:

n = 3years

Step-by-step explanation:

If Gary buys a van £27500 and sell the van at a value of the £11264 after n years, depreciation will give us;

£27500-£11264 = £16236

If the van depreciates by 20% each year, yearly depreciation will be;

20% of £27500 = £5500

To get the total number of years n it takes the van to depreciate to £11264 will give total depreciation amount/yearly depreciation amount which gives;

£16236/£5500 = 2.9years

This means that the van has depreciate from £27500 to £11264 after 3years

Answer:

(3,0),(5,0)

Step-by-step explanation:

Add the comma in the middle or Plato will mark it wrong

Final answer:

To find the number of different ways a new car can be ordered with various options, multiply the number of choices for each option.

Explanation:

To find the number of different ways a new car can be ordered with regard to the given options, we need to multiply the number of choices for each option. There are 10 possible colors, 2 choices for air conditioning (with or without), 2 choices for automatic transmission, 2 choices for power windows (with or without), and 2 choices for a CD player (with or without).

Therefore, the total number of different ways a new car can be ordered is:

10 colors × 2 choices for air conditioning × 2 choices for automatic transmission × 2 choices for power windows × 2 choices for a CD player = 10 × 2 × 2 × 2 × 2 = 160

Answer: There are 17.5 minutes for which it costs the same amount to use each card for a single call.

Step-by-step explanation:

Let the number of minutes be x

To use card A, the cost is $1.00 to connect and then $0.04 per minute.

So, our expression becomes,

[tex]1+0.04x[/tex]

To use card B, the cost is $0.65 to connect and then $0.06 per minute.

So, our expression becomes,

[tex]0.65+0.06x[/tex]

According to question, if it cost the same amount to use each card for a single call, then it will be

[tex]1+0.04x=0.65+0.06x\\\\1-0.65=0.06x-0.04x\\\\0.35=0.02x\\\\\frac{0.35}{0.02}=x\\\\17.5=x[/tex]

Hence, there are 17.5 minutes for which it costs the same amount to use each card for a single call.

The set of natural numbers is closed under addition but not under subtraction.

The statement that is true for the set of natural numbers is B. The set is closed under addition and not closed under subtraction.

In mathematics, a set is considered closed under an operation if applying that operation to any two elements in the set always produces an element that is also in the set.

For the set of natural numbers, adding two natural numbers will always result in another natural number, so it is closed under addition. However, subtracting two natural numbers may result in a negative number, which is not a natural number, so it is not closed under subtraction.

Answer:

Option 1,2 and 3.

Step-by-step explanation:

An algebraic expression is such a mathematical representation of variables

Algebra is relation with variables a,y,z and so on

So, Option 2 is correct that is it will contain variable in numerator.

Similarly, Option 3 is correct that is it will contain variable in denominator.

Option 4 is incorrect because if it  contains variable with an exponent then it will not be algebraic it will become exponent function.

Option 1 is correct because it may have common denominator an algebraic fraction will have common denominator.

Answer:

[tex]h=16t^2[/tex]

Step-by-step explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration due to gravity = 32 ft/s²

[tex]s=ut+\frac{1}{2}at^2\\\Rightarrow h=ut+\frac{1}{2}32\times t^2\\\Rightarrow h=ut+16t^2[/tex]

Here, u = 0 so,

[tex]h=0t+16t^2\\\Rightarrow h=16t^2[/tex]

The equation is [tex]h=16t^2[/tex]

[tex]24=16t^2\\\Rightarrow t=\sqrt{\frac{24}{16}}\\\Rightarrow t=1.22\ s[/tex]

Time taken by the ball to hit the ground is 1.22 seconds

Answer:

9 months!!

Step-by-step explanation: