How do u find the volume of rectangular brick?

Answers

Answer 1

Answer:

the answer is to use the formula lxwxh or length x width x height


Related Questions

If x =2.3,5x.3= DONT MAKE ANSWERS THAT DONT MAKE ANY SENSE OR YOU WILL GET REPORTED

Answers

Answer:

34.5

Step-by-step explanation:

5 times x(2.3) = 11.5.

11.5 times 3 is 34.5

you put 2.3 in place of x because x was the unknown value, but now that we know it is 2.33 we plug it in.

If the following line is run in bash, what is the value of each parameter below?
$$
\$ \#
$$
$\$$
$\$ 0$
$$
\$ 2
$$

Answers

\($\$$\): Represents the process ID (PID) of the current shell. \($\$0$\): Refers to the name or path of the shell itself. \($\$2$\): Does not have a value as no command-line arguments are passed in the given line.

When the line "$\$$ \#" is run in Bash, the values of the parameters are as follows:

- $\$$: This parameter represents the process ID (PID) of the current shell. It is a unique identifier for the running shell process.

- $\$0$: This parameter represents the name or the path of the script or command that is being executed. In this case, since only the "$\$$ \#" line is run, $\$0$ would refer to the name or path of the shell itself.

- $\$2$: This parameter refers to the value of the second command-line argument passed to the script or command being executed. However, in the given line "$\$$ \#", there are no command-line arguments passed, so $\$2$ would not have any value.

To summarize:

- $\$$: Represents the process ID (PID) of the current shell.

- $\$0$: Refers to the name or path of the shell itself.

- $\$2$: Does not have a value as no command-line arguments are passed in the given line.

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Select the correct answer.
Consider the equation below.
-2x
|-3 + 1| =
-2√x - 1
Use the graph to find the approximate solutions to the equation.

Answers

The approximate solutions to the equation is (0.655, -2.618)

How to determine the solution to the equation

From the question, we have the following parameters that can be used in our computation:

-2x

|-3 + 1| =

-2√x - 1

Express the equation properly

So, we have the following representation

-2x|-3 + 1| = -2√x - 1

This gives

-4x = -2√x - 1

Next, we split the equation

y = -4x

y = -2√x - 1

To solve graphically, we plot the equation and write out the point of intersection

Hence, the solution is (0.655, -2.618)

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help maybe , please ??

help maybe , please ??

Answers

Step-by-step explanation:

x + 53 = 90

x = 37

answer is 37

For questions like this right angles equal 90° and straight angles equal 180°.

For this one you would do 90° - 53° = 37°

Hope this helped!

For any given event, the probability of that event and the probability of the _______ of the event must sum to one.

Answers

For any given event, the probability of that event and the probability of the non-occurrence of the event must sum to one.

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

The probability of occurrence formula, also known to some as the “probability of occurrence formula PMP” is a tool for determining the chance that a given risk will occur. The formula requires two data points: number of favourable events possible and the total number of events possible.

Non occurrence patterns identifies the absence of events when detecting a pattern.

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Beth put $8,000 in a savings account. At the end of a year the account had earned $72 in interest. What was the yearly interest rate on the account?


Please help!!

Answers

the yearly interest rate is .90%
to get this you need p=r*b
percent is p
rate is 72 and the base is 8000
set it up as a fraction
72/8000=x/100
cross-multiply 72 by 100 and then divide by 8000

Complete the table.

starting elevation
(feet) change
(feet) final elevation
(feet)
A +200 75 up
B +200 75 down
C +200 200 down
D +200 +25
Write an addition equation and draw a number line diagram for B. Include the starting elevation, change, and final elevation in your diagram.

Complete the table. starting elevation(feet)change(feet)final elevation(feet)A+20075 up B+20075 down

Answers

Answer:

Step-by-step explanation:

Starting elevation of B = +200 feet

Change in elevation for B = 75 feet down

Final elevation of B = +200 - 75 = +125 feet

The addition equation for B can be written as:

Starting elevation + Change = Final elevation

+200 - 75 = +125

The number line diagram for B is as follows:

+------------------------+------------------------+------------------------+

A B C D

+200 +125 +225

<----- 75 ft ----->

(change in elevation)

Which of the following are equations for the line shown below? Check all that
apply.
(-2,5)
5+
-5
5
(2,-3)
A. Y-5 = -2(x + 2)
B. y = -2x + 1
O c. y + 3 = -2(x - 2)
D. y = -2x - 7

Which of the following are equations for the line shown below? Check all thatapply.(-2,5)5+-55(2,-3)A.

Answers

c) y= -2x +1

Step-by-step explanation:

y= -2x +1

m= (- 3 -5)/2+2

= -2

c=1

y-(-3)= -2(x-2)

y= -2x +4 -3

y = -2x+1

Help please if you know the answer

Help please if you know the answer

Answers

Answer:

10x - 1

Step-by-step explanation:

Perimeter = a + b + c

P = 5x - 2 + 3x + 2 + 2x - 1

combinelike terms:

P = 10x - 1

factorise
3x^2+22x+35
please give me this​

Answers

Answer:

(3x + 7) (x + 5)

Step-by-step explanation:

Hope this helped :)

Answer:

(3x+7)(x+5)

Step-by-step explanation:

Write the next three terms of the arithmetic sequence.

1.3,1,0.7,0.4,

Answers

Answer:

0.1

-0.2

-0.5

Step-by-step explanation:

Each term is 0.3 less than the previous term

1.3 - 0.3 = 1

1 - 0.3 = 0.7

0.7 - 0.3 - 0.4

0.4 - 0.3 = 0.1

0.1 - 0.3 = -0.2

-0.2 - 0.3 = -0.5

Calculate the volume of the triangular prism shown below. Give your answer in cm³. 5 cm 7 cm 9 cm 4 cm​

Answers

The volume of the given triangular prism is 315 cm³.

The volume of a triangular prism, we need to multiply the base area of the triangular base by the height of the prism.

The triangular base has a base length of 5 cm and a height of 7 cm, and the height of the prism is 9 cm.

Calculate the area of the triangular base.

The area of a triangle can be calculated using the formula:

Area = (base length × height) / 2

Plugging in the values, we have:

Area = (5 cm × 7 cm) / 2

Area = 35 cm²

Calculate the volume of the prism.

The volume of a prism can be calculated by multiplying the base area by the height of the prism.

Volume = Base area × Height

Volume = 35 cm² × 9 cm

Volume = 315 cm³

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find the sum of all two digit numbers that have exactly three factors

Answers

The sum of all two-digit numbers that have exactly three factors is 126.

To find the sum of all two-digit numbers that have exactly three factors, we need to determine which numbers satisfy this condition.

A number has exactly three factors if it is a perfect square. In other words, the number must be the square of a prime number.

The prime numbers less than 10 that have two-digit squares are 4, 5, 6, and 7. So we need to find the sum of their squares: 4^2 + 5^2 + 6^2 + 7^2 = 16 + 25 + 36 + 49 = 126.

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Directions:Simplify the following monomials.SHOW ALL STEPS!

ANYONE PLEASE HELP ME I REALLY NEED THE ANSWER RIGHT NOW BECAUSE I HAVE TO PASS THIS TOMORROW I HOPE Y’ALL CAN HELP ME AND PLEASE SHOW THE “STEPS” TOO:(

I’LL MARK YOU AS THE BRAINLIEST!

Directions:Simplify the following monomials.SHOW ALL STEPS!ANYONE PLEASE HELP ME I REALLY NEED THE ANSWER

Answers

Answer:

7. Ans;

\( \frac{6 {a}^{5} {b}^{7} }{ - 2 {a}^{3} {b}^{7} } = \frac{2 {a}^{3} {b}^{7}(3 {a}^{2} ) }{ - 2 {a}^{3} {b}^{7} } = - 3 {a}^{2} \)

___o____o___

8. Ans;

\( \frac{ - 20 {x}^{3} {y}^{2} }{ - 5 {x}^{3}y } = \frac{ - 5 {x}^{3}y(4y) }{ - 5 {x}^{3}y } = 4y\)

___o___o___

9. Ans;

\( \frac{ - 16 a {b}^{4} }{4 {b}^{3} } = \frac{4 {b}^{3}( - 4ab) }{4 {b}^{3} } = - 4ab\)

____o____o____

10. Ans;

\( \frac{21 {m}^{8} {n}^{5} }{27 {m}^{5} {n}^{4} } = \frac{3 {m}^{5} {n}^{4}(7 {m}^{3} n) }{3 {m}^{5} {n}^{4}(9) } = \frac{7 {m}^{3}n }{9} \)

___o___o___

11. Ans;

\( \frac{ - 15 {x}^{5} {y}^{4} }{45x {y}^{3} } = \frac{ 15x {y}^{3} ( - {x}^{4} y)}{15x {y}^{3}(3) } = - \frac{ {x}^{4}y }{3} \)

___o___o___

12.Ans;

\( \frac{7 {p}^{2} {q}^{2} }{14 {p}^{2} {q}^{2} } = \frac{7 {p}^{2} {q}^{2} }{7 {p}^{2} {q}^{2} (2) } = \frac{1}{2} = 0.5\)

I hope I helped you^_^

“a number greater than or to -3”

Answers

Answer:

5

Step-by-step explanation:

Answer:

anything that is -3 or above like -2 or so on

Step-by-step explanation:

Find the slope between (-5, 4) & (0, 3) (show work)

Answers

Answer:

\(m=\frac{-1}{5}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Step-by-step explanation:

Step 1: Define

Point (-5, 4)

Point (0, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute [SF]:                     \(m=\frac{3-4}{0+5}\)Subtract/Add:                       \(m=\frac{-1}{5}\)

Answer:

Hogg said she had a plan heuh

Mr. Webster is buying carpet for an exercise room in his basement. The room will have an area of 230 square feet. The width of the room with have 12&1/2 feet. What is the length?

PLEASE DO NOT JUST GIVE THE ANSWER, (I could have done that myself) PLEASE SHOW WORK ON HOW YOU GOT THE ANSWER.

Thanks!

Answers

Answer: 18.4 ft

Step-by-step explanation:

Area= L x W

230= 12.5 x L (Divide both sides by 12.5 to get L)

L= 18.4 ft

Answer:

The length of the room is 18 2/5 feet.

Step-by-step explanation:

The formula for finding the area of rectangles is A = l · w

Since the area and width is given to you, we can substitute that in the formula:

230 = l · 12 1/2

Now we convert the 12 1/2 to an improper fraction so it is easier to solve.

Here's how you convert a mixed number to an improper fraction:

12 · 2 = 24

24 + 1 = 25

and put 25 over the original denominator

     = 25/2

Now you can add that to the equation...

l · 25/2 = 230 (I put 230 on the right side because that is how I am used to solving equations, but you can leave it on the right side as well. It is up to you)

To get rid of fractions, multiply by the reciprocal (Basically you flip the fraction so that the numerator becomes the denominator and the denominator becomes the numerator) on both sides

25/2 · 2/25 cancels itself out

   and

230/1 · 2/25...

   230 · 2 = 460

   1  · 25 = 25

So you would get 460/25

Thus, we end up with:

l = 460/25

Divide 460 by 25 and you get 18.4...

Technically 18.4 is the answer but in decimal form.

If you want it in fraction form, just take 0.4 and put it over 10 because 0.4 is in the tenths place. 4/10 simplifies down to 2/5...

Therefore, the answer is 18 2/5 feet.

I hope this is helpful! Let me know if you have any further questions :D

Emory bought a new computer that retails for $399. If the store is currently
running a promotion for 30% off and the sales tax in her state is 6%, what is
Emory's total at checkout?
A. $296.06
B. $279.30
C. $253.35
D. $422.94

Answers

Answer:

A. $296.06

Step-by-step explanation:

$399-30%= $399*0.7= $279.30

$279.30+6%= $279.30*1.06= $296.06

T/F: the sdlc's planning phase yields a general overview of the company and its objectives.

Answers

True, the SDLC's planning phase yields a general overview of the company and its objectives. During this initial stage, the project's purpose, scope, and requirements are defined.

True. The planning phase of the Software Development Life Cycle (SDLC) is crucial in determining the direction and scope of the project. During this phase, the project team analyzes the company's goals, objectives, and requirements. This includes identifying the company's strengths, weaknesses, opportunities, and threats (SWOT analysis). The team also determines the feasibility of the project, identifies potential risks, and creates a plan for project execution. The planning phase yields a general overview of the company and its objectives, providing a solid foundation for the rest of the SDLC stages. It is essential to have a well-defined plan during this phase to ensure that the project aligns with the company's objectives and meets the expectations of the stakeholders.

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If p(a) is 0.6, p(b) is 0.5, probability of both the events happening together is 0.25> What is the probability of either event occurring?

Answers

To find the probability of either event occurring, we can use the formula for the union of two events: P(A or B) = P(A) + P(B) - P(A and B).

Given that P(A) = 0.6, P(B) = 0.5, and P(A and B) = 0.25, we can substitute these values into the formula.

\(P(A or B) = P(A) + P(B) - P(A and B)\)
\(P(A or B) = 0.6 + 0.5 - 0.25\)
\(P(A or B) = 0.85 - 0.25\)
\(P(A or B) = 0.60\)
The probability of either event occurring is 0.60 or 60%.

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The probability of either event occurring can be found by adding the probabilities of the individual events and subtracting the probability of both events happening together. In this case, the probability of either event A or event B occurring is 0.6.

The probability of either event occurring can be calculated using the principle of addition. To find the probability of either event happening, we need to sum the individual probabilities of the events and subtract the probability of both events happening together.

Given:

p(a) = 0.6 (probability of event A occurring)
p(b) = 0.5 (probability of event B occurring)
p(a and b) = 0.25 (probability of both events happening together)

To calculate the probability of either event occurring, we can use the formula:

p(a or b) = p(a) + p(b) - p(a and b)

Substituting the given values into the formula:

p(a or b) = 0.6 + 0.5 - 0.25

p(a or b) = 0.85 - 0.25

p(a or b) = 0.6

Therefore, the probability of either event A or event B occurring is 0.6.

To understand this concept better, let's consider an example. Suppose event A represents rolling a fair six-sided die and getting an even number (2, 4, or 6). The probability of event A occurring would be 0.5. Now, let event B represent flipping a fair coin and getting heads. The probability of event B occurring would be 0.5.

If we want to find the probability of either rolling an even number or flipping heads, we can use the formula mentioned earlier. The probability of rolling an even number is 0.5, the probability of flipping heads is 0.5, and the probability of both happening together is 0.25. Plugging these values into the formula, we get:

p(A or B) = 0.5 + 0.5 - 0.25

              = 0.75

Therefore, the probability of either rolling an even number or flipping heads is 0.75.

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а
Totsakan wants to buy a microscope for $24.
He gives the cashier $100. What is his
change?

Answers

Answer:

$76

Step-by-step explanation:

100 - 24 = 76 simple math

Answer:

$76

Step-by-step explanation:

Totsakan wants to buy a microscope for $24.

He gives the cashier $100. What is his

change?

100 - 24 = $76

Hope this helps!

hii please help i’ll give brainliest if you give a correct answer tysm

hii please help ill give brainliest if you give a correct answer tysm

Answers

Hello!

\(\large\boxed{4 : 3 \text{ and } 16 : 12}\)

We can go through each answer to verify whether each is equivalent to 8 : 6.

4 : 3 is equivalent to 8 : 6 because reducing the ratio 8 : 6  by a factor of 2 yields 4 : 3.

6 : 8 is not equivalent to 8 : 6 because the ratio is reversed.

16 : 12 is equivalent to 8 : 6 because the ratio is increased by a factor of 2.

10 : 8 is not equivalent to 8 : 6. We can verify this by checking whether each term was scaled equally:

10 ÷ 8 = 1.25

8 ÷ 6 = 1.33. Therefore, they are unequal.

7 : 5 is not equal to 8 : 6 for the same reason.

The only correct choices are:

4 : 3 and 16 : 12.

use the following information to write an equation in terms of x. then solve the equation and find rs and st. rs

Answers

The equation in terms of x (rs) is rs + 3 * rs = 32. By solving this equation, we found that rs = 8 and st = 24.

To find rs and st, we need to write an equation in terms of x using the given information and then solve for x.

Let's suppose that rs and st are two line segments, and x represents the length of rs. To find the lengths of rs and st, we can set up an equation based on the given information.

From the problem, we know that the length of st is three times the length of rs. This can be expressed as:

st = 3 * rs

Additionally, the total length of rs and st is 32 units. Mathematically, this can be represented as:

rs + st = 32

Now, we can substitute the value of st from the first equation into the second equation:

rs + 3 * rs = 32

Simplifying this equation, we have:

4 * rs = 32

To solve for rs, we divide both sides of the equation by 4:

rs = 32 / 4

rs = 8

Hence, we have found that rs is equal to 8 units.

To find the length of st, we can substitute the value of rs into the first equation:

st = 3 * rs

st = 3 * 8

st = 24

Therefore, the length of st is 24 units.

In summary, the equation in terms of x (rs) is rs + 3 * rs = 32. By solving this equation, we found that rs = 8 and st = 24.

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Connor has made deposits of $125.00 into his savings account at the end of every three months for 15 years. If interest is 10% per annum compounded monthly and he leaves the accumulated balance for another 5 ​years, what would be the balance in his account​ then?

Answers

You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

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The rectangle below has an area of x^2-7x+10x
2
−7x+10x, squared, minus, 7, x, plus, 10 square meters and a width of x-5x−5x, minus, 5 meters.
What expression represents the length of the rectangle?

The rectangle below has an area of x^2-7x+10x 2 7x+10x, squared, minus, 7, x, plus, 10 square meters

Answers

By using the quadratic equation that can be written with the given information:

x² -7x + 10 = (x - 5)*(x - a)

We will see that the length is:

L  = x - 2

How to get the length of the rectangle?

Remember that for a rectangle of length L and width W, the area is given by the product:

A = L*W

Here we know that:

The area is: x² -7x + 10

The width is: x -5

The length will be another factor of the quadratic equation, and we know that it should be of the form:

(x - a)

Using the area formula, we will get:

x² -7x + 10 = (x - 5)*(x - a)

Expanding the right side we get:

x² -7x + 10 = x² -5x -ax + 5a

x² -7x + 10 = x² + (-5 - a)*x + 5a

Comparing like terms, we can see that:

-5 - a = -7

5a = 10

The solution of both of these is:

a = 7 - 5 = 2

a = 10/5 = 2

Then the length of the rectangle is:

L = (x - 2)

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which of the following basic functions is equivalent to the piecewise-defined function f(x)= x if x≥0 −x if x<0 ? question content area bottom part 1 a. f(x)= 1 x b. f(x)=x c. f(x)=x2 d.

Answers

The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.

Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.

The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.

In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

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Use integration to find the position function for the given velocity function and initial condition. (Rubric 10 marks) \[ v(t)=3 t^{3}+30 t^{2}+5 ; s(0)=3 \]

Answers

Answer:

\(\displaystyle s(t)=\frac{3}{4}t^3+10t^3+5t+3\)

Step-by-step explanation:

Integrate v(t) with respect to time

\(\displaystyle \int(3t^3+30t^2+5)\,dt\\\\=\frac{3}{4}t^4+10t^3+5t+C\)

Plug-in initial condition to get C

\(\displaystyle s(0)=\frac{3}{4}(0)^3+10(0)^3+5(0)+C\\\\3=C\)

Thus, the position function is \(\displaystyle s(t)=\frac{3}{4}t^3+10t^3+5t+3\) given the velocity function and initial condition.

The tempeture of chicken soup is 192.7 degrees F. As it cools the tempeture of the soup decreases 2.3F per minute.
PART A: What is y=the tempeture of the soup ater 25 minutes?
PART B: How many minutes will it take for the soup to cool to 100.7F

Answers

Answer:

Step-by-step explanation:

To find the answer to Part A, we can turn this into a simple equation:

192.7 - (2.3 times 25) = temperature, the missing value.

So therefore, after 25 minutes pass, the temperature is equal to

192.7 - 57.5, or:

135.2 = Answer to Part A.

Now, onto Part B. We can use another equation!

192.7 - 2.3x = 100.7

Now, we must solve the given equation, first by taking 100.7 from each side:

192.7 - 2.3x = 100.7

-100.7             -100.7

We are now left with: 92 - 2.3x = 0 - we must now add 2.3x to 2.3x and 0, giving us this:

92 = 2.3x, which is equivalent to 920 = 23x, if that is what you prefer to solve.

To give us our missing value (x), we can divide 920 by 23, giving us: x = 40. This is the answer to Part B: 40 minutes.

I hope this was really helpful! Tell me if you need any more help.

Describe people’s opinions using different verbs. Write at least 5 sentences.
PLEASE HELP I POSTED FOR THE 7TH TIME NO ANSWER WILL GIVE BRAINLIEST

Describe peoples opinions using different verbs. Write at least 5 sentences.PLEASE HELP I POSTED FOR

Answers

Answer:

A mi encantar el arte.

A mis padres interesar el traje.

A ti importar las botas.

A Emelio encantar los deportos.

A Nosotros interesar viajar.

Currently you have two credit cards, h and i. Card h has a balance of $1,186. 44 and an interest rate of 14. 74%, compounded annually. Card i has a balance of $1,522. 16 and an interest rate of 12. 05%, compounded monthly. Assuming that you make no purchases and no payments with either card, after three years, which card’s balance will have increased by more, and how much greater will that increase be?.

Answers

The balance increase for card i is $89.24 greater than the balance increase for card h. Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt)

Given, Card h has a balance of $1,186.44 and an interest rate of 14.74%, compounded annually.

Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt),

where A = final amount, P = principal (initial balance), r = annual interest rate (as a decimal), n = number of times compounded per year, t = time (in years)

For card h,

A = 1186.44(1 + 0.1474/1)^(1*3)

A = 1883.99

For card i, A = 1522.16(1 + 0.1205/12)^(12*3)

A = 1973.23

Therefore, the balance for card i will have increased more than that of card h, and the difference in the increase is: 1973.23 - 1883.99 = 89.24

The balance increase for card i is $89.24 greater than the balance increase for card h. Hence, the required answer is card i.

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