Samuel wants to deposit $4,000 and keep that money in the bank without deposits or withdrawals for three years. He compares two different options. Option 1 will
pay 1.8% interest, compounded quarterly. Option 2 will pay 1.5% interest, compounded continuously.
How much interest does Option pay?
b. How much interest does Option 2 pay

Answer:

To write the unit form for 1/3, you can simply write "1/3" or use the fraction symbol, which looks like a horizontal line with the numerator above the denominator. For example, you can write the unit form for 1/3 as follows:

1/3

Alternatively, you can use the fraction symbol, like this:

1/3

In both cases, the numerator (the number on top of the fraction) is 1 and the denominator (the number on the bottom of the fraction) is 3. This indicates that the value of the fraction is one-third.

Answer:

  24

Step-by-step explanation:

Given right triangle sides x, 2x-3, and 2x+3, you want to know the length of the side labeled x.

The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.

  (2x +3)² = (2x -3)² +x²

  4x² +12x +9 = 4x² -12x +9 +x²

  x² -24x = 0 . . . . . subtract 4x² +12x +9

  x(x -24) = 0   ⇒   x = 0 or 24

The length of the side labeled x is 24 units.

__

Additional comment

The triangle is an 8-15-17 triangle scaled up by a factor of 3.

Answer:

94.4

Step-by-step explanation:

Answer:

It's not a function

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf No}[/tex]

Step-by-step explanation:

{(6,-1), (-4, 2), (5, 2), (4, 6), (6,5)}

For a relation to be a function, the domain (x-values) should NOT repeat values.

Here,

Domain = {6, -4, 5, 4, 6}

The number 6 in domain is repeated. Hence, this relation is not a function.

[tex]\rule[225]{225}{2}[/tex]

The congruent reason for 5 is (c) ASA

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

Triangles = VWX and ZYX

The ASA similarity theorem implies that the corresponding angles of the triangles in question are similar and the sides between these angles are congruent

From the question, we can see that the following corresponding angles on the triangles:

Angles W and Y

Angles X and X

This implies that these angles are congruent angles

For the triangle to be congruent by ASA, the following sides must also be congruent

WX must be congruent to YX

This is indicated in the table of values at (3)

Hence, the additional information on the similarity of the triangles is (d) ASA

Read more about congruent triangles at

brainly.com/question/1675117

#SPJ1

Answer:

It will take 48 seconds before the planes are at the same altitude.

When there are at the same altitude, they will be at 3864 feet.

Step-by-step explanation:

Because its right :)

please give brainliest

Answer: $56

Step-by-step explanation:

20% of 70=14

70-14=56

This is False in light of the stated statement. due to the employment of a regression line to calculate the mean of y for x that are outside the x-range of the data.

Y = mX + b, where X is the predictive (independent) factor, m is really the approx slope, and b is the expected intercept, is the methodology for simple linear regression.

Regress, from whence the word "regression" is derived, means "to go back" in Latin (to something). Regression is the method that enables "going back" from muddled, challenging data to a clearer and more significant model in this manner.

To know more about regression visit:

https://brainly.com/question/4341286

#SPJ4

The Integral value of  (2x+11)/(x²-x-2) is[tex]2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)+c[/tex]

An integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data.

The given integral is [tex]\int\dx \frac{2x+11}{x^{2} -x-2} dx[/tex]

By partial fractions we divide the integral

Apply the sum rule:

∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx

[tex]=\int\dx \frac{2x}{x^{2} -x-2} dx+\int\dx \frac{11}{x^{2} -x-2} dx[/tex]

Let  us calculate the first integral part

[tex]=\int\dx \frac{2x}{x^{2} -x-2} dx[/tex]

Let us use the partial fraction of [tex]\frac{x}{x^{2} -x-2} dx:\frac{1}{3(x+1)} +\frac{2}{3(x-2)}[/tex]

[tex]\int\dx \frac{2x}{x^{2} -x-2} dx=2\int\dx \frac{1}{3(x+1)} dx+ \frac{2}{3(x-2)} dx[/tex]

[tex]\int\dx \frac{2x}{x^{2} -x-2} dx=2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)[/tex]

Now let us integrate second term.

[tex]\int\dx \frac{11}{x^{2} -x-2} dx=11\int\dx \frac{1}{x^{2} -x-2} dx[/tex]

We can write denominator as x²-x-2= (x-1/2)²-9/4

[tex]=11\int\dx \frac{1}{(x-\frac{1}{2}) ^{2} -\frac{9}{4}} dx[/tex]

We apply u substitution method

[tex]\int\dx \frac{11}{x^{2} -x-2} dx=-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)[/tex]

[tex]=2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)+c[/tex]

Hence, [tex]2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)+c[/tex] is the integral value of of (2x+11)/(x²-x-2).

To learn more on Integration click:

https://brainly.com/question/22008756

#SPJ1

The equation of the line that passes through the point (3,2) and has a slope of 4 is; y = 4x - 10

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

Point (3,2)

Then Slope m = 4

Now Write the equation as;

y - 2 = 4(x - 3)

y = 4x - 10

Hence, The equation of the line is; y = 4x - 10

Learn more about equations here;

brainly.com/question/25180086

#SPJ1

Answer:

Step-by-step explanation:

m/9 - 1 = -2

m/9 = -1

m = -1 × 9

m = -9

------------------------------

check

-9/9 -1 = -2

-2 = -2

the answer is good

The graph of the inequality is attached below.

What is inequality?

In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.

Consider, the given inequality

      K/2 - 20 ≥ -18

Add 20 on both sides,

K/2 - 20 + 20 ≥ -18 + 20

               K/2 ≥ 2

Multiply both sides by 2,

        K/2 x 2 ≥ 2 x 2

                  K ≥ 4

Now to graph the inequality.

The graph of the inequality is attached below.

To know more about inequality, click on the link

https://brainly.com/question/24372553

#SPJ1

The federal tax withheld each week for Mike Williams is given as follows:

$37.

Mike Williams salary is given as follows:

$425 a week.

The range that contains the salary, from the table given at the end of the answer, is given as follows:

Between $420 and $430.

The number of allowances that he claims is given as follows:

One allowance.

Hence the federal tax withheld each week is given by the 4th column of the interval between 420 and 430, as he claims one allowance, and the numeric value of this tax is given as follows:

$37.

(which is the weekly amount that he pays in taxes).

The table with the tax information is given by the image shown at the end of the answer.

More can be learned about taxes at https://brainly.com/question/19363979

#SPJ1

Answer:

y = -8(x - 2)² + 4

Step-by-step explanation:

(-1.5)x × -0.25x = 0.375x²

remember, -×- = +

The solution of the function f(x) = (x - 2)(x + 6)(x² + x + 2) will be 2, -3, - 1/2 + (√7/2)i, and - 1/2 - (√7/2)i.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The function is given below.

f(x) = (x⁴ + 2x³ - 3x² - 4x - 12)

Factorize the expression, then we have

f(x) = (x⁴ + 2x³ - 3x² - 4x - 12)

f(x) = x⁴ - 2x³ + 4x³ - 8x² + 5x² - 10x + 6x - 12

f(x) = x³(x - 2) + 4x²(x - 2) + 5x(x - 2) + 6(x - 2)

f(x) = (x - 2)(x³ + 4x² + 5x + 6)

f(x) = (x - 2) (x³ + 3x² + x² + 3x + 2x + 6)

f(x) = (x - 2)[x²(x + 3) + x(x + 3) + 2(x + 3)]

f(x) = (x - 2)(x + 6)(x² + x + 2)

The zeroes of the function are given as,

f(x) = 0

(x - 2)(x + 3)(x² + x + 2) = 0

x = 2, -3, - 1/2 + (√7/2)i, - 1/2 - (√7/2)i

The solution of the function f(x) = (x - 2)(x + 6)(x² + x + 2) will be 2, -3, - 1/2 + (√7/2)i, and - 1/2 - (√7/2)i.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

Answer:

47% or .47

Step-by-step explanation:

Answer:

2/5.

Step-by-step explanation:

1/2 times 4/5 is equal to (1/2) * (4/5), which simplifies to 4/10. Since 4/10 can be simplified to 2/5, the answer is 2/5.

Answer:

the answer is 2/5 or as a decimal 0.4

Answer:

The Answer is B/2/middle option

Step-by-step explanation:  im great at math

Answer: Children ate 15 cookies and 5 each because Alex ate 1/4 and bernice ate 1/3 and carla ate 1/2
and 5 were left

5 into 3 is 20
and 5 are left so
20-5 is 15
15 divide by 3 is 5

Frame calculation process in your words but the final answer is each child ate 5 cookies.

Answer:

---------------------

It has three different  zeros of multiplicity 1.

Correct choice is C.

Answer:

12 hours

Step-by-step explanation:

4 / 2

2/2

1

4 = 2²

2² x 3 = 4 x 3 = 12

Answer: length=6 feet

Step-by-step explanation:

For this you need to create one equation from the question and use the equation for perimeter.

equation 1 is     2W+2L=P   where perimeter is 43.

equation 2 is w=3L-2.5

-Now you want to take equation two and plug it into equation 1 for w to find L

It will be  2(3L-2.5)+2L=43 and you want to solve for L

distribute the 2   2(3L-2.5)+2L=43

add up the Ls      6L-5+2L=43

add 5 to each side    8L-5=43

divide each side by    8L=48

Then you get L=6

Now use L=6 to plug into equation two to get W(width)

w=3(6)-2.5=18-2.5=15.5

Now plug in both W and L into equation 1 to make sure you get 43

P=2(15.5)+2(6)=32+12=43 this means that w and l are correct and you get the perimeter given. So length (L) is 6.

AnSwErS:

Target:

1. The probability of rolling a 7 on a 6-sided die.

2. The probability of rolling a 4 on a 6-sided die.

3. The probability of flipping a head on a coin.

4. The probability of drawing a green or red marble from a bag with 6 red, 5 blue, and 3 green marbles.

5. The probability of rolling a number less than 7 on a 6-sided die.

Step-by-step explanation:

HOPE THIS HELPS!!!!

Here is the two column proof:

    Statement                                        Reason                                              

===================================================

    Statement                                        Reason