Eva invests $6700 in a new savings account which earns 5.8% annual interest, compounded daily. what will be the value of her investment after 3 years? round to the nearest cent.

The monomial expressions which best estimates the behavior of the function f(x) = (x - 6)/(\(x^2\) + 2x + 14) are '1/x' and '1' and the required ratio is 1/x.

The behavior of a rational function as x approaches positive or negative infinity can be estimated by analyzing the highest power terms in the numerator and denominator.

For the function f(x) = (x - 6)/(\(x^2\) + 2x + 14), as x approaches infinity, the dominant term in the numerator is x, and in the denominator, the dominant term is \(x^2\).

Therefore, the behavior of the function can be estimated by the monomial expression \(x\)/\(x^2\), which simplifies to 1/x.

For the denominator \(x^2\) + 2x + 14, as x approaches infinity, the dominant term is \(x^2\).

Therefore, the behavior of the denominator can be estimated by the monomial expression \(x^2/x^2\), which simplifies to 1.

Using the results from parts (a) and (b), the ratio of the monomial expressions that best estimates the behavior of (x - 6)/(\(x^2\) + 2x + 14) as x approaches infinity is (1/x)/(1), which simplifies to 1/x.

In summary, as x approaches infinity, the function f(x) = (x - 6)/(\(x^2\) + 2x + 14) behaves like 1/x, and the ratio of the dominant monomial terms in the numerator and denominator is 1/x.

Learn more about rational function here:

https://brainly.com/question/29098201

#SPJ11

f(4) = 3 and f '(4) = 1/4, Given that the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), we can find f(4) and f '(4) using the slope-point formula.

Since the tangent line passes through (4, 3) and (0, 2), we can calculate the slope (m) as:
m = (y2 - y1) / (x2 - x1)
m = (3 - 2) / (4 - 0)
m = 1 / 4

Now, we know that the slope of the tangent line at (4, 3) is equal to the derivative f '(4). Therefore: f '(4) = 1/4
Since the tangent line touches the curve at (4, 3), we have:
f(4) = 3.

To know more about derivative click here

brainly.com/question/29096174

#SPJ11

Answer: 18ft^3

What I did:

Multiply the length, (6) width, (3) and the height (4) together. This gives you 72. Now you just multiply 72 by 1/4 or .25. Then you get your answer.

Answer:

4

Step-by-step explanation:

8(1)^2 -5(1) +1

8(1) -5(1) +1

8 -5 +1

4

120.

Trust me.  It is correct using a formula.

Answer:

For the second figure

X=10

Y=30

Step-by-step explanation:

3x=(5x-20).... Alternative interior angles

3x=5x-20

20=5x-3x

20=2x

x=10

2y+4y= 180

6y=180

Y=30

Answer:

Its C

Step-by-step explanation:

Answer:

c.27/31 fluid ounce...

Answer:

Area= pi r^2

= 6^2 pi

= 36pi cm square.

Step-by-step explanation:

Answer: 36*pi cm

Step-by-step explanation:

Since the formula for the circumference is C=2*pi*r

12pi=2*pi*r we can divide and get r=6 cm

Then, we can use the formula for the area of a circle: Area=pi*r^2 and get Area=pi*6^2=36*pi cm.

make me brain list

Answer: 30.7%

Step-by-step explanation:

Multiply by 100

So in this case, 0.307 is 30.7% of 1 (whole).

30.7% is the right representation of 0.307 in percentage.

To convert a decimal to a percentage, you move the decimal point two places to the right and add the percentage symbol (%).

In this case, to express 0.307 as a percentage, you move the decimal point two places to the right:

0.307 * 100 = 30.7%

So, 0.307 is equivalent to 30.7%.

Learn more about percentages here:

https://brainly.com/question/29306119

#SPJ6

Answer:

Amount Blaine save = $250

Step-by-step explanation:

Total take home pay = $2,500

Original budget:

Rent + electricity bills = $990

Food/groceries = $525

Gas + insurance = $320

Spending money = $235

Cellphone + Internet = $250

Gym membership = $180

Total = $2,500

New budget:

Rent + electricity bills = $990

Food/groceries = $525

Gas + insurance = $320

Spending money = $200

Cellphone + Internet = $175

Gym membership = $40

Total = $2,250

How much will these choices save him each month?

Amount Blaine save = Total take home - new budget

= $2,500 - $2,250

= $250

Amount Blaine save = $250

First find the equation of y.

\(y=mx+n=\frac{\Delta y}{\Delta x}x+n\)

Find the slope m.

\(m=\frac{5-9}{-1-3}=\frac{-4}{-4}=1\).

Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.

\(9=1(-3)+n\implies n=12\).

The equation of a line y is:

\(y=x+12\).

The perpendicular line \(y_{\perp}\) is same like the normal line except its slope m becomes:

\(k=-\frac{1}{m}=-1\).

The equation of a perpendicular bisector is thus:

\(y_{\perp}=-x+12\).

Hope this helps.

Answer:

\(y = \frac{1}{2} x + 3\)

Step-by-step explanation:

Using the given points, first find the slope:

m = (₂ - y₁) / (x₂ - x₁)

   = (5 - 9) / (-1 - (-3))

   = -4 / 2

    = -2

Find y-intercept by using anyone of the give points and slope from above:

y = mx + b

5 = -2(-1) + b

5 = 2 + b

b = 3

With the m and b, you can make equation of line:

y = mx + b

y = -2x + 3

To find the perpendicular slope, make it opposite and inverse it.

m = -2 becomes 1/2

Regular equation of line:

y = -2x + 3

Perpendicular equation of line:

\(y = \frac{1}{2} x + 3\)

Answer:

The lines beside the -3 on the left invert the negative/positive.

Step-by-step explanation:

See answer

Answer:

1/42

Step-by-step explanation:

Adding a negative is the same as subtracting a positive.

6/7 + (-5/6) =

= 6/7 - 5/6

Now you need a common denominator. The LCD of 6 and 7 is 42.

= 36/42 - 35/42

= 1/42

Answer:

Step-by-step explanation:

To find the percentage of Tara's monthly income spent on her car payment, we need to divide her car payment by her monthly income and then multiply by 100 to get the percentage:

$219 / $3,200 = 0.0684375

0.0684375 * 100 = 6.84375

So, Tara spends approximately 6.8% of her monthly income on her car payment.

The closest answer choice is C. 6.8%.

Answer:

C

Step-by-step explanation:

I got just did it and got it right

Answer:

15

Step-by-step explanation:

((10x2)/4)+20-10

The number when 10 is subtracted from the sum of 20 and the product of 2 and 10 is divided by 4​ will be 15.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given,

the sum of 20 and product of 2 and 10 divided by 4​

⇒ 20 + 2×10/4

Now 10 is substracted from it

⇒ 20 + 2×10/4 - 10

⇒ 10 + 10/2

⇒ 10 + 5

⇒ 15

Hence "The number when 10 is subtracted from the sum of 20 and the product of 2 and 10 is divided by 4​ will be 15".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ5

Answer:

112

Step-by-step explanation:

To find the area, you must multiply the width and the length. 14 times 8 is 112.

You write f (-2) = 3 as (-2, 3) and f (5) = 7 as (5, 7).

The answer for the graph is \(\mathbf{\frac{4}{3}}\textbf{\textit{x}}\mathbf{+\frac{1}{3}}\).

Answer:

5.025m

Step-by-step explanation:

The clothesline also creates an upside-down triangle with two sides being 5m, 0.5m, and the hypotenuse being the clothesline.

We can use the pythagorean theorem to find the length of the clothesline.

5 squared +.5 squared= the length of the clothesline squared

25+.25= the square root of 25.25

= 5.025

Answer:

Your answer would be:
5.025m

Step-by-step explanation:

5 sq + 0.5sq = the length of the clothesline sq

25 + 0.25= the square root of 25.25

= 5.025m



Have a great rest of your day
#TheWizzer

Answer:

D.36cm

Step-by-step explanation:

If the top rectangle have 6 cm, it means 6×16=108 ft

If the two rectangles are the same, it means that the bottom rectangle have also 108 ft, so:

108÷3= 36 cm

Answer:

\(\frac{5}{9}\) in

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length )

Given A = \(\frac{25}{81}\) , then

s² = \(\frac{25}{81}\) ( take the square root of both sides )

s = \(\sqrt{\frac{25}{81} }\) = \(\frac{\sqrt{25} }{\sqrt{81} }\) = \(\frac{5}{9}\)

Answer: attach an image

Step-by-step explanation:

To find the principal, we can use the formula for simple interest:

I = P*r*t

where I is the interest, P is the principal, r is the interest rate, and t is the time in years.

We need to convert 82 days to years by dividing it by 365 (the number of days in a year):

t = 82/365

t = 0.2247

Now we can plug in the values we know and solve for P:

67.14 = P*0.0625*0.2247

P = 67.14/(0.0625*0.2247)

P = 1900

Therefore, the principal is $1900.

Another term for roots or x intercept is zeroes.

In algebra, a quadratic equation is any equation that can be rearranged in standard form ax^2+bx+c, where x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0. (If a = 0 and b ≠ 0 then the equation is linear, not quadratic.)

The numbers a, b, and c are the coefficients of the equation and may be distinguished by respectively calling them, the quadratic coefficient, the linear coefficient and the constant coefficient or free term.

Roots are also called x-intercepts or zeros. A quadratic function is graphically represented by a parabola with vertex located at the origin, below the x-axis, or above the x-axis. Therefore, a quadratic function may have one, two, or zero roots.

Hence , another term for roots or x intercept is zeroes.

To learn more about roots  visit
https://brainly.com/question/16932611

#SPJ4

Answer:

270.99

Step-by-step explanation:

1/3×3.14×8^2

=66.99

9×11

=99

15×7

=105

66.99+99+105

=270.99

im not sure if im right

Answer:

3,21

Step-by-step explanation:

\((4,2)^{2} = (2,7)^{2} + z^{2} \\1764 * 10^{-2} = 729 * 10^{-2} + z^{2}\\z^{2} = 1035 * 10^{-2}\\z = 3\sqrt{115} * 10^{-1}\\\)

z ≅ 3 * 10,7 * \(10^{-1}\)≅ 3,21

Answer:

2

x=40

Step-by-step explanation:

A triangle has 180 degrees and considering that triangle ABC is similar to DEF that means they have the same angle (A=D,B=E,C=F)

180=104 +36+x

180=140+x

180-140=x

40=×

The location of √ 7 on a number line between 2 and 3.

A number line is a picture of a graduated straight line that serves as a visual representation of real numbers in primary mathematics. Every number line point is considered to correspond to a real number and every real number to a number line point.

A number line is a long straight line with numbers marked at equal intervals. On a number line, we can argue that as we move to the right, the value of numbers increases. This signifies that the numbers on the right are more than those on the left.

A number line shows how numbers are related. It's a line with check marks next to each number. The numerals get smaller as you move left on the number line. The numbers grow larger as you move closer to the number line.

In this case, ✓7 is 2.65. This number can be found between 2 and 3. This should be the true statement since the options aren't given.

Learn more about number line on:

https://brainly.com/question/24644930

#SPJ1

Answer:

Step-by-step explanation:

let n be the total number of the books.

→ “Half the books you own are mysteries” means (n÷2) are mysteries

→ “one third are nonfiction” means (n÷3) are non fiction

→ 4 books are sc-fiction

………………………………………

We can form this equation:

\(\frac{n}{2} +\frac{n}{3} +4=n\)

\(\Longrightarrow \left( \frac{1}{2} +\frac{1}{3} \right) n+4=n\)

\(\Longrightarrow \frac{5}{6} n+4=n\)

\(\Longrightarrow 4=n-\frac{5}{6} n\)

\(\Longrightarrow 4=\frac{1}{6} n\)

\(\Longrightarrow 4\times6= n\)

\(\Longrightarrow n=24\)

………………

Therefore

The number of mystery books = n÷2 = 24÷2 = 12

It has to be smaller than $7800

I am not sure if this answer is right.

Answer:

7800-936=6864

Step-by-step explanation:

x/12 7800/100

100x=93600

936