What is the decimal equivalent of 3/6%

The number of years of employment is A. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

The system of equations given is:

x = 4y

x = 8 + 2y

You can solve the system by setting the two expressions for x equal to each other:

4y = 8 + 2y

2y = 8

2y / 2 = 8 / 2

y = 4

Substitute y = 4 into the first equation to solve for x:

x = 4 x 4

= 16

So, Mae (y) has been at the company for 4 years and Nikhil (x) has been at the company for 16 years.

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Answer:

The equation below is provided:

$800 = principal amount borrowed/loaned

4.5% = interest per year

2 years = terms of payment

You need to know how much is the interest per year.

$800 * 4.5% = $36

Then, multiply the amount to the terms of payment to know the total amount of the interest to be paid.

$36 * 2 years = $72

The correct answer for the amount that Anika will spend for the interest is $72.

Answer:

We can start by isolating the variable x in the inequality:

(x/4) + 2 > -3

(x/4) > -5

Multiplying both sides by -4 (and flipping the inequality since we are multiplying by a negative number) gives:

x < 20

So any value of x that is less than 20 satisfies the inequality. Therefore, the possible solutions from the list below are:

-21

-20

19

Note that 21 and 10 are not solutions to the inequality.

Step-by-step explanation:

what is the answer to 100001/9

The value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.

what is piecewise function?

A piecewise-defined function in mathematics is one that is composed of several smaller functions, each of which has a specific interval of the domain it applies to. Instead of being a property of the function itself, piecewise definition is a way to express the function.

We have to evaluate the piecewise function for x = -1 and x = 9.

Let, function has value for x = -1 in the domain x ≤ 5 which is 11.

And function has value for x = 9  in the domain 6 < x which is 1.

⇒  f(-1) = 11 and f(9) = 1

Hence, the value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.

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Answer:

The nearest whole is 122.99 repeated

Step-by-step explanation:

Okay, here we have this:

Considering the original function in red, we obtain the following:

The option A that is 2 days after being planted, the two plants will of the same height( Where the two lines intersect in a graph).

How to know if the lines intersect in the graph of a function?

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

And after solving both equations if the values of x and y satisfies both equations then they intersect at that values of x and y.

Now,

On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden.

The graph models the growth of each plant since the day they were planted.

The intersection of the two lines represents the days after being planted were the two plants the same height.

The answer is that 2 days after being planted, the two plants are the same height.

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The answer is that 2 days after being planted, the two plants are the same height.

How to know if a point lies in the graph of a function?

The answer is that 2 days after being planted, the two plants are the same height.

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Using the equation 7.75 + 3x = 10 the prices for pizza is -

In 2010 - $7

In 2011 - $7.75

In 2012 - $8.5

In 2013 - $9.25

In 2014 - $10

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

Pizza Paradise started in 2010.

The price in 2011 was increased at it was = $7.75

After 3 years on increasing the price at constant rate in 2014 the price was = $10.

Let the original price of pizza in 2010 be increased by a rate x.

Since the price increased is constant, so the equation will be linear.

The linear equation is -

7.75 + 3x = 10                                                                                                    3x = 10 - 7.75

x = 2.25 / 3

x = 0.75

So, price is increased every year by $0.75.

The original price of the pizza in 2010 was -

7.75 - 0.75 = $7

The price of the pizza in 2012 was -

7.75 + 0.75 = $8.5

The price of the pizza in 2013 was -

7.75 + 2(0.75) = $9.25

So, the equation becomes -

y = 0.75x + 6.25

The slope of the line m = 0.75 suggests the increase in price at a constant rate of $0.75.

The y-intercept b = 6.25 is the constant value. Tis means the lowest price of pizza is $6.25.

The graph of the equation is plotted.

Therefore, the price is increased every year by $0.75.

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Answer: 39 minutes 51 seconds

Step-by-step explanation:

Nt=N0 * 2^n

N0=Initial population

n=number of times bacteria divide

700=320*2^n

log2(700/320)=1.129283017=n

45/1.129283017=39.84829252 minutes

0.84829252*60=50.89755135≈51seconds

so the answer is

39minutes and 51seconds

To find the slope of the line represented on the given table we take two points and divide the difference on the y-axis by the difference on the x-axis:

The slope of the given line is 0. This means that it is parallel to the x axis.

We are going to graph the points given in the table:

Now let's connect the points:

The slope can be seen as the number of units that the line goes up or down when moving one unit to the right.

In this case, if we start from any value of x and move one unit to the right, the line does not rise or fall, so its slope is 0.

Answer:

6 3/8

Step-by-step explanation:

1.5x4.25=6.375=51/8= 6 3/8

Answer:

Monthly Loan Payment

Loan Amount (P) = $6,000

Monthly Interest Rate (n) = 0.75% per month [9.00% / 12 Months]

Number of months (n) = 36 Months [3 Years x 12 months]

Monthly Loan Payment = [P x {r (1+r)n} ] / [( 1+r)n – 1]

= [$6,000 x {0.0075 x (1 + 0.0075)36}] / [(1 + 0.0075)36 – 1]

= [$6,000 x {0.0075 x 1.308645}] / [1.308645 – 1]

= [$6,000 x 0.009815] / 0.308645

= $58.89 / 0.308645

= $190.80

Monthly Loan Amortization Schedule

“Therefore, the total interest paid during the first year will be $465.99”

HOPE this example helps

Answer: 1/2 cup

Step-by-step explanation:

If there are 3/4 cup milk needed for every 1 1/2 cup of flour that means for every 1/2 cup of flour you’ll need 1/4 cup of milk. So for a whole cup of flour you’ll need 2/4 cup of milk which is equivalent to 1/2

The expression that can be used to find the number of liters in 15 quarts is 15 quarts/1 * 0.95 liters/1 quart

The volume is given as:

Volume = 15 quarts

In standard unit of conversion, we have:

1 quart = 0.95 liters

So, the equation becomes

Volume = 15 quarts/1 * 0.95 liters/1 quart

Hence, the expression that can be used to find the number of liters in 15 quarts is 15 quarts/1 * 0.95 liters/1 quart

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Given:

The functions are

\(f(x)=-5x^2+4x-9\)

\(g(x)=8x^2-3x-4\)

To find:

The value of (f+g)(x).

Solution:

We know that,

\((f+g)(x)=f(x)+g(x)\)

Putting the given functions, we get

\((f+g)(x)=-5x^2+4x-9+8x^2-3x-4\)

On combining like terms, we get

\((f+g)(x)=(-5x^2+8x^2)+(4x-3x)+(-9-4)\)

\((f+g)(x)=3x^2+x-13\)

Therefore, the required function is \((f+g)(x)=3x^2+x-13\).

Answer:

Step-by-step explanation:

1000 Ohms

R = 1000

V = 9

I = V / R

I = 9 / 1000

I = 0.009

500000 Ohms

V = 9

I = V/R

R = 500000

I = 9 / 500000

I = 0.000018

Answer:

see explanation

Step-by-step explanation:

the exterior angle of the interior angle 110° is

180° - 110° = 70°

the sum of the exterior angles of a polygon = 360°

sum the exterior angles and equate to 360

2x - 50 + x + 40 + x + 2x + 70 = 360

6x + 60 = 360 ( subtract 60 from both sides )

6x = 300 (divide both sides by 6 )

x = 50

then exterior angles are

2x - 50 = 2(50) - 50 = 100 - 50 = 50°

x + 40 = 50 + 40 = 90°

x = 50°

2x = 2 × 50 = 100°

Answer: 4

Step-by-step explanation:

Answer:4

2+2=4 if I have two apples and pick up two more I now have 4 total

answer : -1 welcome

Step-by-step explanation:

4+-5 equals -1

Answer:

800,000

Step-by-step explanation:

8 is in the hundred thousands, 1 is in the ten thousands, 1 is in the thousands, 5 is in the hundreds, 7 is in the tens, 0 is in the ones place

It rounds down as its nowhere near 900,000 which changes all its digits.

Answer:

Each pupil get 6 sheet

Step-by-step explanation:

Given:

Number of green sheet = 36

Number of blue sheet = 42

Find:

Common factor

Computation:

36 = 6 x 6

42 = 6 x 7

So, 6 is a common factor

Each pupil get 6 sheet

Each student should get 6 papers

The lowest common multiple is the smallest factor of a set of numbers.

The highest common factor is the biggest factor of a set of numbers.

A multiple of a number is a number that can divide another number without a remainder.

Factors of 36 =1, 2, 3, 4, 6, 9, 12, 18, and 36

Factors of 42 = 1, 2, 3, 6, 7, 14, 21, and 42.

The common factors of both numbers are : 1,2,3,6

Each student should get 6 papers

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Answer:

0.628

Step-by-step explanation:

From the information given:

Let S represent sunny days and C represent cloudy days;

S is expressed in the matrix to be in the first row and first column

C is expressed in the matrix to be in the second row and second column

Then, the transition for the probability matrix can be computed as follows:

\(P = \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right]\)

\(P^2 = \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right] \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right]\)

\(P^2 = \right. \left[\begin{array}{cc}0.49+0.15&0.21+0.15\\0.35+0.25&0.15+0.25\\\end{array}\right] \right.\)

\(P^2 = \right. \left[\begin{array}{cc}0.64&0.36\\0.60&0.40\\\end{array}\right] \right.\)

\(P^3 = \right. \left[\begin{array}{cc}0.64&0.36\\0.60&0.40\\\end{array}\right] \right. \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right]\)

\(P^3 = \right. \left[\begin{array}{cc}0.628&0.372\\0.62&0.38\\\end{array}\right] \right.\)

So, if it is sunny, the probability that it is going to be sunny 3 days later = 0.628

Using the transition of the events, it is found that there is a 0.628 = 62.8% probability that it will be sunny 3 days later.

The transition of events, considering that it is sunny today and we want it to be sunny 3 days later, is given by:

S - S - S - S

S - C - S - S

S - S - C - S

S - C - C - S

Considering the probabilities stated in the exercise(S - S: 0.7, S - C: 0.3, C - S: 0.5, C - C: 0.5), for the last three days, the probability is:

\(p = 0.7^3 + 0.3(0.5)(0.7) + 0.7(0.3)(0.5) + 0.3(0.5)(0.5) = 0.628\)

0.628 = 62.8% probability that it will be sunny 3 days later.

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Answer:

74 handkerchief

Step-by-step explanation:

Let the number of Thomas' and Randy's handkerchief be T and R respectively.

Thomas

blue ----- ¼T

yellow ----- 1T -¼T= ¾T

Randy

blue ----- \( \frac{3}{7} \)R

yellow ----- \( \frac{4}{7} \)R

Since they have the same number of yellow handkerchiefs,

¾T= 4/7 R

Multiply by 28 on both sides,

(since 28 is the lowest common multiple of 4 and 7)

21T= 16R -----(1)

From this we can see that R is greater than T.

Hence, given that the difference between R and T is 10,

R= T +10 -----(2)

Subst. (2) into (1):

21T= 16 (T +10)

21T= 16T +160 (expand)

21T -16T= 160

5T= 160 (simplify)

T= 160 ÷5 (÷5 on both sides)

T= 32

Subst. into (2):

R= 32 +10

R= 42

Thus, total number of handkerchief

= 32 +42

= 74

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)