MATHEMATICS HIGH SCHOOL

Ethan‘s bank account listed a balance of $328.80. He originally opened the account with a $200 deposit and a simple interest rate of 4.6% If there were no deposit or withdrawals, how long ago was the account opened

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

$Interest=\frac {PRT}{100}$ where P is principal amount, R is rate in percentage and T is time.

Making T the subject of the formula,

$T=\frac {Interest * 100}{PR}$

For Ethan's case, Interest=$328.8-$200=$128.8

Substituting $128.8 for interest, 4.6% for rate and $200 for P we obtain

T=(128*100)/(4.6*$200)=14

Since the rate wasn't specified whether annually or monthly, the time can be 14 years or 14 months

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Which linear function equation would contain the points below? (-6,-8) and (12,4)

Answers

Answer:

Step-by-step explanation:

The equation of a linear function can be written in the form y = mx + b, where m represents the slope and b represents the y-intercept.

To find the equation of a linear function that contains the points (-6,-8) and (12,4), we first need to find the slope.

The slope (m) can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

Let's substitute the values from the given points into the formula:

m = (4 - (-8)) / (12 - (-6))

m = (4 + 8) / (12 + 6)

m = 12 / 18

m = 2/3

Now that we have the slope, we can use one of the given points and the slope to find the y-intercept (b).

Using the point (-6, -8), we substitute the values into the equation y = mx + b and solve for b:

-8 = (2/3)(-6) + b

-8 = -12/3 + b

-8 = -4 + b

b = -8 + 4

b = -4

Therefore, the equation of the linear function that contains the points (-6,-8) and (12,4) is y = (2/3)x - 4.

Final answer:

The equation of the linear function that contains the points (-6,-8) and (12,4) is y = (2/3)x - 4.

Explanation:

The linear function equation that contains the points (-6,-8) and (12,4) can be determined by using the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. First, calculate the slope using the formula m = (y2 - y1) / (x2 - x1). Plugging in the values from the given points, we have m = (4 - (-8)) / (12 - (-6)) = 12/18 = 2/3. Next, choose one of the points to substitute into the equation to find the value of b. Using the point (-6,-8), we have -8 = (2/3)(-6) + b. Solving for b, we get b = -8 + 4 = -4. Therefore, the equation of the line is y = (2/3)x - 4.

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What value or values of x satisfy 2|x+5.3|=4.2a. x can only equal –3.2.
b. x can only equal 7.4.
c. x can equal –3.2 or –7.4.
d. x can equal –3.2 or 7.4.

Answers

we have

$2\left|x+5.3\right|=4.2$

Step 1

Find the first solution (case positive)

$2(x+5.3)=4.2$

Eliminate the parenthesis left side

$2x+10.6=4.2$

Subtract $10.6$ both sides

$2x=4.2-10.6$

$2x=-6.4$

Divide by $2$ both sides

$x=-3.2$

Step 2

Find the second solution (case negative)

$2[-(x+5.3)]=4.2$

Eliminate the parenthesis left side

$-2x-10.6=4.2$

Adds $10.6$ both sides

$-2x=4.2+10.6$

$-2x=14.8$

Divide by $-2$ both sides

$x=-7.4$

therefore

the answer is the option C

x can equal –3.2 or –7.4

We have, /x+5.3/ = 2.1;
Then, x + 5.3 = 2.1 or x + 5.3 = -2.1;
x = 2.1 - 5.3; x = -3.2;
x = -2.1-5.3; x = -7.4;
The correct answer is c.

For every increase of 1 on the Richter scale, an earthquake is 10 times more powerful. Which of the following models this situation?

a-linear function with a negative rate of change
b- linear function with a positive rate of change
c-exponential decay function
d-exponential growth function

answer-exponential growth function

Answers

The model that best describes this situation is an exponentialgrowthfunction.

The correct answer is option D.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Exponential growth function

The given situation describes how the power of an earthquake increases exponentially with an increase in Richter scale magnitude.
Specifically, for every increase of 1 on the Richter scale, the earthquake is described as being 10 times more powerful.

This is characteristic of exponentialgrowth, where a quantity increases by a fixed proportion for each unit increase in another variable.

In this case,

As the Richter scale magnitude increases by 1, the power of the earthquake increases by a factor of 10, which is an exponentialgrowth relationship.

Therefore,

The model that best describes this situation is an exponentialgrowthfunction.

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im not sure but I think its d

Susan has a collection of nickels and dimes. If the number of nickels is times the number of dimes, how many nickels and how many dimes does she have?

Answers

there’s no context to your question, it could be any number. try reworking your question.

How much greater is the 5 in the hundreds place than the 5 in the tens place

Answers

the five in the hundreds place is 10 times grater than the five in the tenths place

Jasmine wants to use her savings of $1128 to buy video games and music CDs. The total price of the music CDs she bought was $72. The video games cost $43 each. What is the maximum number of video games that Jasmine can buy with her savings?