1O less than the quotient of a number c and 13

Investment: Suppose you receive a gift of $1,000 and decide to open a CD (certificate of

Nina [5.8K]

Answer: 4 years after the original investment, it is approximately $1,093.

Step-by-step explanation:

Hi, to answer this question we have to apply the simple interest formula:

I = p x r x t

Where:

I = interest

P = Principal Amount

r = Interest Rate (decimal form)

t= years

Replacing with the values given

I = 1000x (2.25/100) x t

It will triple in approximately 3 years. FALSE

I = 1000x (2.25/100) x 3 =67.5

1000+67.5 = 1067.5

It will no longer grow after several years: False, it will grow because it has a growth rate.

4 years after the original investment, it is approximately $1,093. TRUE

I = 1000x (2.25/100) x 4 =90

1000+90 = $1090

It will double in approximately 10 years.

I = 1000x (2.25/100) x 10 =225

1000+90 = $1225

Feel free to ask for more if needed or if you did not understand something.

4 0

4 years ago

Jan'ai was asked to determine the minimum for a function with zeros located at –1 and 5, which also has a y-intercept of (0, –25

sergey [27]

The first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.

<h3>What are the coordinates of vertex for a quadratic function?</h3>

For a quadratic function of the form $y = ax^2 + bx + c$ , its vertex form is obtained as:

$y = ax^2 + bx + c\\y =a(x^2 + bx/a) + c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2 -(b/2a)^2 )+ c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2) -a \times (b/2a)^2 + c\\\\y = a(x+b/2a)^2 - a \times (b/2a)^2 + c$

For the form $y = a(x-h)^2 + k$ , the vertex has coordinates (h, k)

Thus, for the obtained equation $y = a(x+b/2a)^2 - a \times (b/2a)^2 + c$ , we get the coordinates of vertex as:

$h = -b/2a$ , $k = c - a\times(b/2a)^2$

Thus, the coordinates of vertex of $y = ax^2 + bx + c$ is:

$(h,k) = (-b/2a, c - a \times (b/2a)^2 )$

The missing steps of work of Jan'ai are:

Begin to write a function in factored form. $f(x) = a(x+1)(x-5)$
Substitute x = 0, y = f(x) = -25 to determine a. $-25 = a(0+1)(0-5)$
Simplify and solve to find a. $a=5$
Rewrite the function. $f(x) = 5(x+1)(x-5)$
Rewrite in standard form. $f(x) = 5x^2-20x-25$
Find the x-coordinate of the vertex. $x = -20/2(5) = -20/10; x = -2$
Find the y-coordinate of the vertex.

$y = 5x^2-20x-25$

$y = 5(-2)^2-20(-2)-25$

$y = 35$

so (-2,35) is the coordinate of the vertex, which denotes the minimum.

So, as we see, in the 5th step, Jan'ai had the quadratic function $f(x) = 5x^2-20x-25$ ,

Comparing this to $f(x) = ax^2 + bx + c$ , we get a = 5, b = -20, c = -25

The vertex's x-coordinate will be on -b/2a = -(-20)/ 2(5) = 20/10 = 2

But Jan'ai didn't putted that negative sign before b. in the 6th step.

Thus, the first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.

Learn more about the vertex form of a quadratic equation here:

brainly.com/question/9912128

6 0

3 years ago

What would the number 8671.42578125 ten be in IEEE 754 single precision floating point format. You need to follow the following

Arlecino [84]

Answer:

Step-by-step explanation:

Answers are explained/Solved in the attach document.

5 0

4 years ago

A nutritional consulting company is trying to find what percentage of the population of a town is overweight. The marketing depa

Ymorist [56]

It is undercoverage bias

3 0

3 years ago

two different floor plans are being offered in a new housing development. several prospective buyers from three different age gr

Lesechka [4]

<h3>Answer: Approximately 0.677</h3>

Explanation:

Add up the values in the plan A column. There are 10+12+16 = 38 people who prefer plan A.

Add up the values in the "40-49" row to find that 16+8 = 24 people are ages 40 to 49.

We have 38+24-16 = 46 people who either prefer plan A, are aged 40-49, or fit both descriptions. I subtracted off 16 because those 16 people were counted twice when adding 38 and 24.

An alternative way to get this value of 46 is to add up everything that is in column1 or row 3 (or both). So that would get 10+12+16+8 = 46.

Now add up everything in the table to find out how many people were surveyed total. That would be 10+7+12+15+16+8 = 68 people overall.

The probability of someone liking plan A, or being age 40-49, or both is 46/68 = 0.6765 approximately. Rounding to 3 decimal places gives 0.677

7 0

3 years ago