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good luck man i hate having to do this kind of thing in class

The formula [tex]\(A(t) = 2000(1.0075)^{4t}\)[/tex] represents the amount of money in a savings account with quarterly compounding interest over time.

The formula [tex]\(A(t) = 2000(1.0075)^{4t}\)[/tex] describes the amount of money, [tex]\(A(t)\),[/tex] in a savings account over time, where [tex]\(t\)[/tex] represents the number of years. The initial investment is $2000, and the account earns interest at a rate of 3%, compounded quarterly.

The term [tex]\((1.0075)^{4t}\)[/tex] represents the growth factor of the investment over time.

The base, [tex]\(1.0075\),[/tex] represents the factor by which the investment grows each quarter, considering the 3% annual interest rate.

Since the interest is compounded quarterly, it is raised to the power of [tex]\(4t\)[/tex] to account for the total number of quarters over [tex]\(t\)[/tex] years.

Multiplying the initial investment by this growth factor yields the total amount of money in the account after[tex]\(t\)[/tex]years.

As time increases, the exponential term increases, leading to exponential growth in the account balance.

This formula provides a mathematical model for calculating compound interest and understanding how investments grow over time.

Answer:

all the ekements of set A lies in set B

Answer: were is the question and how do you put down brainliest

Step-by-step explanation:

Answer:

The answer is [tex]\frac{81}{4}[/tex]

Step-by-step explanation:

The formula is: [tex]\frac{a}{b}  \div \frac{c}{d} =  \frac{ad}{bc}[/tex]

In this case we have: [tex]\frac{9}{1} \div  \frac{4}{9} = \frac{9\times 9}{1\times 4}  = \frac{81}{4}[/tex]

Since 81 y 4 do not have common divisors. The fraction [tex]\frac{81}{4}[/tex]

is in its simplest form.

Final answer:

9 divided by 4/9 equals 81/4 or 20.25. This is done by multiplying 9 by the reciprocal of 4/9, resulting in 81/4, which is already in simplest form.

Explanation:

To calculate 9 divided by 4/9, we can rewrite the division as a multiplication by the reciprocal of 4/9. Here's the step-by-step explanation:

Therefore, 9 divided by 4/9 equals 81/4 or 20.25 in decimal form. Since the problem asks for the simplest form, 81/4 is the final answer and cannot be simplified further because 81 and 4 have no common factors other than 1.

To make 30 liters of a 60% solution from 40% and 70% solutions, set up two simultaneous linear equations representing volume and concentration; solve them to find the required volumes.

To solve the question posed by Gabe, a nuclear physicist, we will need to use the concept of mixtures in Mathematics. The total volume he needs is 30 liters of a 60% acid solution, and he has available 40% and a 70% acid solutions.

The solution to this problem involves setting up two equations, one for the total volume and second for the amount of acid.

Let's denote the volume of the 40% solution by x and the volume of the 70% solution by y. Our first equation based on volume is: x + y = 30 (because total volume needed is 30 liters).

Our second equation represents the fact that the volume times the percentage of acid present (converted to a decimal) for each solution should match up to the total volume times the overall percentage of acid (also converted to a decimal) in the final 60% solution. This gives us: 0.4x + 0.7y = 30*0.6.

Solving these two linear equations simultaneously using methods such as substitution or elimination will give us the value of x and y, which are the required liters of 40% solution and 70% solution respectively.

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-3+ -2= -5

same sign add

-7 + 2 = -5

different signs subtract and keep the sign of the BIGGER number

Answer: Associative

Associative says it doesn't matter what is added or multiplied first, and this question shows this

Hope this helps!

Answer: Associative

Step-by-step explanation:

Answer:

[tex][2 - \sqrt{6}, 2\sqrt{6}] \\ [2 + \sqrt{6}, -2\sqrt{6}][/tex]

The work is shown above.

I am joyous to assist you anytime.

Answer:

56 is the correct answer

Step-by-step explanation:

50<X<100  it could be 56,70,84,98

56=2*7*5 V

70=2*7*6 X

84=2*7*7 X

98=2*7*8 X

The number that satisfies all the given clues is 84.

The number that satisfies all the given clues is 84.

Therefore, the number that meets all the given clues is 84.

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Answer:

it would be 2.8150

Step-by-step explanation:

since there is a one in the tenths place it rounds down to 0 with makes it 50

Answer: 2

Step-by-step explanation:

Answer:35

Step-by-step explanation: the reason this is true is because 5is the smallest number that can round up to ten

The function which grows or decreases at a constant % growth rate is known as an exponential function, and further discussion can be defined as follows:

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if i am right you would multiply x= -3 by -3 and you get 9 so you would do the same thing to the y as well so y= -7 and you multiply it by -3 and then y= 21

Answer:

80/26 = 3.07

Step-by-step explanation:

Answer: 3 times!

Step-by-step explanation:

80 divided by 26 is 3.07 but you can round it to 3

Answer:

The answer to your question is: letter A

Step-by-step explanation:

Data

radius = 3

Formula

V = (4/3)πr³

V = (4/3) π (3)³ =                      Substitution

V = (4/3) π (27)                         Simplify

V = 108π / 3

V = 36 π u³

A. The volume of the sphere is 36[tex]\pi[/tex] cubic units.

Let, r be the radius of the sphere.

Then the volume of the sphere = [tex]\frac{4}{3}\pi r^{3}[/tex] cubic units

Given radius of sphere (r) = 3 units

So, the volume of sphere = [tex]\frac{4}{3}\pi r^{3}[/tex] cubic units

                                           = [tex]\frac{4}{3}\pi *3^{3}[/tex] cubic units

                                           = [tex]\frac{4}{3}*27\pi[/tex] cubic units

                                           = [tex]36\pi[/tex] cubic units

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Answer:

17/6

2 5/6

Step-by-step explanation:

18x-30=21

18x=51

x=51/18

x=17/6

Answer:

Step-by-step explanation:

x+8=3

X=-3-8= -11

X=-11

minus the 8 over and the answer will be -11

Answer:

{X:X=-11}

Step-by-step explanation:

It is done by making x the subject in that relation. Thus grouping of like terms.

the equation then becomes ;

x=-3-8

since moving a positive number to the = sign gives a negative number.

-3-8= -11

Therefore ,{x:x=-11} is the solution

Answer:

1  1/2 boxes per minute

Step-by-step explanation:

The company packs boxes at a rate of 3/4 of a box every 1/2 minute. By multiplying this rate by the reciprocal of the time (2/1), we find that the company packs 1.5 boxes per minute.

The student's question involves finding out the rate at which a company packs boxes. The company packs boxes at a constant rate of 3/4 of a box every 1/2 minute.

To find how many boxes are packed per minute, we need to adjust the given rate to reflect the number of boxes packed in one full minute. We can do this by dividing the number of boxes (3/4) by the fraction of the minute (1/2) during which they are packed.

Here's a step-by-step explanation:

Therefore, the company packs 1.5 boxes per minute.

Answer:

a. 32.25

b. 8.825

c. 27.775

d. 89.097

Answer:

The answer is 259 and 260

Step-by-step explanation:

519/2= 259.5

259+260=519

Answer: QR + RS = QS

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]x^{\frac{7}{3} }[/tex]

Step-by-step explanation:

The given expression is

[tex]\sqrt[3]{x^{7} }[/tex]

There's a exponent which relates fractional exponents and roots, that is

[tex]\sqrt[n]{x^{m} } = x^{\frac{m}{n} }[/tex]

So, if we apply this property, the results would be

[tex]\sqrt[3]{x^{7} }=x^{\frac{7}{3} }[/tex]

Therefore, the right answer is the third choice [tex]x^{\frac{7}{3} }[/tex]

Answer:

c

Step-by-step explanation:

i took the test

Answer:

2 yard line

Step-by-step explanation:

It starts at the 0 yard line then goes up to the 6 yard line

0 + 6 = 6

After, from the 6 yard line they go back 4 yards

6 - 4 = 2

Now they're at the 2 yard line.

Answer:

The answer is 12

Step-by-step explanation:

12 can go into 14 one time and 12 goes into 24 twice

Answer: 144 divided by 12 = 12

Step-by-step explanation:

Answer:

Inverse Property

Step-by-step explanation:

Any number X plus the negative of itself = 0

Answer:

Answer:

12

Step-by-step explanation:

28 / 4 = 7

1) -2

2) -2+7=5

3) 5+7=12

4) 12+7=19

5)19+7=26

My first number is -2 my fifth number is 26

My third number is 12

Given :

My first number is -2 my fifth number is 26

Lets assume the given numbers are in arithmetic sequence

First term is -2  and fifth term is 26

[tex]a_1=-2\\a_5=26[/tex]

Formula for nth term is

[tex]a_n=a_1+(n-1)d[/tex]

where d is the difference and n is the number of terms

[tex]a_5=a_1+(5-1)d\\a_5=-2+4d\\26=-2+4d\\26+2=4d\\28=4d\\divide \; by \;4 \\d=7[/tex]

Common difference is 7

First term is -2

second term is [tex]-2+7=5[/tex]

Third term is [tex]5+7=12[/tex]

So , the third number is 12

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Answer:

2,494,920

Step-by-step explanation:

We have been given that in 2010 census, there were 3,669 people living in Marlboro, New York. Brooklyn, New York, has 681 times as many people.

[tex]\text{People live in Brooklyn}=681\times 3,669[/tex]    

[tex]\text{People live in Brooklyn}=2,498,589[/tex]      

Now, we will subtract 3,669 from 2,498,589 to find the number of people more in Brooklyn than Marlboro.

[tex]\text{People more in Brooklyn than Marlboro}=2,498,589-3,669[/tex]

[tex]\text{People more in Brooklyn than Marlboro}=2,494,920[/tex]

Therefore, there are 2,494,920 more people live in Brooklyn than in Marlboro that is 680 times the people in Marlboro.