After 2 years, $40,000 deposited in a savings account with simple interest had earned $12,000 in interest. What was the interest rate?

It is important to multiply the dividend and the divisor by the same power of 10 to remove the decimal point.

When the numerator and denominator of improper fractions are in whole number form, it makes the division a lot easier.

For example;

what is the simplest form of 0.1/0.2?

To obtain the simplest form of the above function, we multiple the numerator and denominator by 10.

= (0.1 x 10)/(10 x 0.2)

= 1/2

Note: introducing factor of 10 to both numerator and denominator has not changed the function.

Thus, it is important to multiply the dividend and the divisor by the same power of 10 to remove the decimal point.

Learn more about division here: https://brainly.com/question/1622425

#SPJ1

Answer:

its the one on the bottom

Step-by-step explanation:

Answer:

graph{x [-10, 10, -5, 5]}

Step-by-step explanation:

Answer: 1120

Step-by-step explanation:

Since 12 out of every 180 frogs in the popluation have spots on their back, this means that (180 - 12) = 168 do not have spot on their back. This can be represented in a fraction as:.= 168/180 = 14 / 15

With a study of a population of 1,200 frogs, the number of frogs that do not have a spots on their back will be:

= 14/15 × 1200

= 1120

Step-by-step explanation:

X- (-12)=25

X+12=25

X=25-12

X=13

please mark as brainliest

Answer:

The answer is 14.

Step-by-step explanation:

You have to substitute a = 7 into the expression :

\(2a = 2(7) = 14\)

\( \huge \purple {\sf {\underline {Given \: Equation:}}} \)

\( \large \pink {\sf {2a}} \)

\( \huge \purple {\sf {\underline {To \: Find:}}} \)

\( \large \pink {\sf {The \: value \: of \: the \: Equation.}} \)

\( \huge \purple {\sf {\underline {Value:}}} \)

\( \large \pink {\sf {a = 7}} \)

\( \huge \purple {\sf {\underline {Solution:}}} \)

\( \large \pink {\sf {Substitute \: the \: value \: of \: a \: in \: the}} \) \( \large \pink {\sf { equation, \: we \: get}} \)

\( \large \pink {\sf {2a = 2(7) = 14}} \)

\( \huge \purple {\sf {\underline {\dag {Answer:}}}} \)

\( \huge \pink {\sf {14}} \)

The area of the parallelogram with vertices K(1,2,3), L(1,3,6), M(3,8,6), and N(3,7,3) is approximately √265 square units.

To find the area of the parallelogram with the given vertices K(1,2,3), L(1,3,6), M(3,8,6), and N(3,7,3), we can use the cross product of two vectors.

First, let's define vectors KM and KN using the coordinates of the vertices:

Vector KM = (3-1, 8-2, 6-3) = (2, 6, 3)

Vector KN = (3-1, 7-2, 3-3) = (2, 5, 0)

Next, we calculate the cross product of vectors KM and KN to obtain a vector perpendicular to the parallelogram's plane:

KM x KN = ((6)(0) - (3)(5), (3)(2) - (2)(0), (2)(5) - (6)(2)) = (-15, 6, -2)

The magnitude of the cross product vector gives us the area of the parallelogram:

Area = |KM x KN| = √((-15)^2 + 6^2 + (-2)^2) = √(225 + 36 + 4) = √265

Therefore, the area of the parallelogram with vertices K(1,2,3), L(1,3,6), M(3,8,6), and N(3,7,3) is approximately √265 square units.

​for such more question on parallelogram

https://brainly.com/question/3050890

#SPJ8

Question

How do you find the Area of the Parallelogram with Vertices k(1,2,3), l(1,3,6), m(3,8,6), and n(3,7,3)?

Answer:

$12.50

Step-by-step explanation:

Answer:

$12.5/hr

Step-by-step explanation:

50/4=12.5 is the answer

Madison figures out the average and range of chloride readings from wells close to the ocean. Other than a query, she has carried out an operation. The answer id option (d).

The standard deviation is a measure of variance from the mean that takes spread, dispersion, and dispersion into account. The standard deviation displays a "typical" divergence from the mean. It is a well-liked measure of variability since it retains the primary units of measurement from the data set.  A minor variation occurs when the numbers are close to the mean, while a high variation occurs when they are far from the mean.

The standard deviation describes the degree to which the results deviate from the mean. The average deviation, which depends on all values, is the most often used metric for measuring dispersion. Consequently, the standard deviation's value can be altered even by a slight change in one value.

To know more about standard deviation, visit:

https://brainly.com/question/475676

#SPJ1

Answer:

1

Step-by-step explanation:

y2 - y1/ x2 - x1

3-2/ 5-4 = 1/1 = 1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The total average decrease in the stock after 8 weeks would be → |- 10| x 8 = 80 dollars.

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the slope of a line.

Given is the value of a stock decreases by an average of 10 dollars each week.

Now, as the stock decreases by an average of 10 dollars per week, we can represent the situation with a graph, having negative slope of 10. The equation representing the graph will be -

V(w) = - 10w

where -

[w] is the week number

V(w) is the value of stock on that week.

For 8th week, we can write -

V(w) = - 10 x 8 = - 80 dollars

For the total average decrease, we can write -

V(w) = |- 10| x 8 = 80 dollars

Therefore, the total average decrease in the stock after 8 weeks would be → |- 10| x 8 = 80 dollars.

To solve more questions on straight line graphs, visit the link below-

brainly.com/question/2954112

#SPJ1

Answer:

725 112 hot dogs

Step-by-step explanation:

total=number of games × hot dogs per game

=81×8952

=725 112

Answer:

9852

81

9852×81

=798012

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Answer:

\(m=\frac{3}{2}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-5, -4)

Point (-1, 2)

Step 2: Find slope m

The graph of equation y = - 1/2x is shown in attached image.

We have to given that,

Equation is,

⇒ y = - 1/2x

Since, The equation of line in slope intercept form is,

y = mx + c

Where, m is slope and c in y - intercept.

Here, equation is,

y = - 1/2x

Hence, It is passes through origin.

Therefore, The graph of equation y = - 1/2x is shown in attached image.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ6

Answer:

Nice job dude

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

\(\frac{2}{7}x +\frac{1}{5}x=34\)

We need to combine like terms but since they are fractions we first need to find a common denominator. The common multiple of 5 and 7 is 35 so we need to multiply 7 by 5 and 5 by 7, but we have to do the same to the numerator too.

\(\frac{2*5}{7*5} +\frac{1*7}{5*7}\)

\(\frac{10}{35}x+\frac{7}{35} x=34\)

Combine like terms

\(\frac{17}{35}x=34\)

Divide 34 by \(\frac{17}{35}\)

\(\frac{34}{1} *\frac{35}{17} =\frac{1190}{17} =70\)

The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:

0.189 = 18.9%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of these parameters in the context of this problem are given as follows:

n = 3, p = 0.7.

Then the probability of exactly one success is calculated as follows:

P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.

The proportion of voters that approve the mayor's work is of 70%.

More can be learned about the binomial distribution at https://brainly.com/question/24756209

#SPJ1

9 servings are there in 22.5 ounces of trail mix.

Given:

The weight of one serving of trail mix is 2. 5 ounces.

1 serving = 2.5 ounces

Number of servings = 22.5 ounces / 1 serving

= 22.5 / 2.5

= 225/10/25/10

= 225/25

= 9 servings.

Therefore 9 servings are there in 22.5 ounces of trail mix.

Learn more about the servings here:

https://brainly.com/question/3248687

#SPJ4

Answer:

x = 6

Step-by-step explanation:

solve the equation for x

1/3(12x-24)=18

distribute

(1/3)(12x) - (1/3)(24) = 18

4x - 8 = 18

add 8 to both sides

4x = 24

divide each side by 4

x = 6

hope this helps!

Answer:

6

Step-by-step explanation:

Answer:

I wanna say (x,y)→(-x,-y)

Step-by-step explanation:

It would take approximately 7.83 hours (or 7 hours and 50 minutes) to fill a 470-gallon hot tub with a hose that fills at a rate of 1 gallon per minute.

To determine how many hours it will take to fill a 470-gallon hot tub with a hose that fills at a rate of 1 gallon per minute, divide the total volume of the hot tub by the filling rate.

Given that the hose fills the hot tub at a rate of 1 gallon per minute, we need to calculate the time it will take to fill a 470-gallon hot tub.

To do this, we divide the total volume of the hot tub (470 gallons) by the filling rate (1 gallon per minute).

Dividing 470 by 1 gives us 470. This means that it would take 470 minutes to fill the hot tub using the given hose.

Since there are 60 minutes in an hour, we can convert the minutes to hours by dividing 470 by 60. The result is approximately 7.83 hours.

Therefore, it would take approximately 7.83 hours (or 7 hours and 50 minutes) to fill a 470-gallon hot tub with a hose that fills at a rate of 1 gallon per minute.

To know more about volume visit:

brainly.com/question/28058531

#SPJ11

If a storage facility charges $1 per cubic yard and the storage space is 32 ft. The storage charge is $1999.97.

What is mathematical conversions?

Mathematical conversions refer to the process of changing one unit of measurement to another unit of measurement that is equivalent in value.

First, we need to convert the dimensions from feet to yards, since the rate is given per cubic yard.

32 feet = 10.6667 yards (dividing by 3)

160 feet = 53.3333 yards (dividing by 3)

10 feet = 3.3333 yards (dividing by 3)

Next, we can calculate the volume of the storage space in cubic yards by multiplying the three dimensions:

Volume = 10.6667 yards x 53.3333 yards x 3.3333 yards

Volume = 1999.97 cubic yards (rounded to two decimal places)

Finally, we can calculate the storage charge by multiplying the volume by the rate:

Charge = 1999.97 cubic yards x $1/cubic yard

Charge = $1999.97

Therefore, the storage charge is $1999.97.

To learn more about mathematical conversions from the given link:

https://brainly.com/question/11853945

#SPJ4

The solutions include

z = π/4 + π = 5π/4

z = π/4 + 2π = 9π/4

z = π/4 + 3π = 13π/4

These solutions cover all the possible complex solutions for the equation sin(z) = cos(z).

To solve the equation sin(z) = cos(z), we can use the trigonometric identity sin(z) = cos(z) when z = π/4 and z = 3π/4. However, we need to check if there are any other complex solutions as well.

Let's solve the equation algebraically to find all possible solutions:

sin(z) = cos(z)

Divide both sides by cos(z):

sin(z) / cos(z) = 1

Using the identity tan(z) = sin(z) / cos(z), we have:

tan(z) = 1

To find the solutions, we can take the inverse tangent (arctan) of both sides:

z = arctan(1)

The principal value of arctan(1) is π/4, which corresponds to one of the known solutions.

Now, let's consider the periodicity of the tangent function. The tangent function has a period of π, so we can add or subtract any multiple of π to the solution.

Therefore, the general solution is:

z = π/4 + nπ

where n is an integer representing any multiple of π.

So, in addition to z = π/4, the solutions include:

z = π/4 + π = 5π/4

z = π/4 + 2π = 9π/4

z = π/4 + 3π = 13π/4

...

These solutions cover all the possible complex solutions for the equation sin(z) = cos(z).

Learn more about solutions here

https://brainly.com/question/17145398

#SPJ11

Answer:

second option is correct

Step-by-step explanation:

\(\frac{x^0y^-3}{x^2y^-1}\)

=x^0-2 *y-3-(-1)

=x^-2*y^-3+1

=x^-2*y-2

=\(\frac{1}{x^2y^2}\)

The probability of Laura missing 3 free throws before making 12 is approximately 0.0037 or 0.37%.
The basketball free throw.

A success would be considered when Laura makes a free throw.

A failure would be when Laura misses a free throw.
The negative binomial distribution is a probability distribution that calculates the probability of obtaining a certain number of failures before a specified number of successes occur.

The specified number of successes is 12, and the number of failures is represented by the variable x.
To calculate the probability of x failures, we need to know the probability of a single failure.

Since Laura is an 82% free throw shooter, the probability of her missing a free throw is 18%.
We can use the formula for negative binomial distribution to determine how many failures are required before 12 successes are achieved.

The formula is:
\(P(X = x) = (r+x-1)C(x) \times p^r \times (1-p)^x\)
Where:
P(X = x) is the probability of having x failures before achieving 12 successes
r is the number of successes required (in this case, 12)
p is the probability of a single success (in this case, 0.82)

\((r+x-1)C(x)\)is the combination of r+x-1 choose x

For example, if we want to find the probability of Laura missing 3 free throws before making 12, we will plug in x = 3, r = 12, p = 0.82 into the formula:

\(P(X = 3) = (12+3-1)C(3) \times 0.82^1^2\times (1-0.82)^3\)
\(P(X = 3) = 14C3 \times 0.082^1^2 \times 0.18^3\)
\(P(X = 3) = 364 \times 0.000018 \times 0.005832\)
P(X = 3) = 0.000037
Overall, the trial in this scenario is each individual attempt at a free throw, the success is making a free throw, and 12 successes are required before the shooting session is considered complete.

The negative binomial distribution is used to calculate the probability of obtaining a certain number of failures before achieving the specified number of successes.

For similar questions on probability

https://brainly.com/question/24756209

#SPJ11

'x' follows a negative binomial distribution with 'r' being 12 successes.

In this scenario, a trial refers to each individual attempt at shooting a free throw. A success is when Laura successfully makes a free throw. To achieve her goal of making 12 free throws, she needs to have 11 successes (since she will miss on the final attempt). Therefore, r = 11.

In this context, a "trial" refers to each individual attempt Laura makes to shoot a basketball free throw. A "success" is when Laura makes a free throw (hits the basket), while a "failure" (not mentioned in the question) would be when Laura misses a free throw. Since Laura keeps shooting free throws until she makes 12, the number of successes required, denoted as 'r', is 12.

Therefore, 'x' follows a negative binomial distribution with 'r' being 12 successes.

Learn more about binomial distribution here:

https://brainly.com/question/31197941

#SPJ11

Answer:

a)  24

b) 24 : 841

Step-by-step explanation:

y = 35x + 1

a)  If y = 841:

⇒ 35x + 1 = 841

Subtract 1 from both sides:

⇒ 35x = 840

Divide both sides by 35

⇒ x = 24

b) machinists = x

supervisors = y

x : y = 24 : 841

P(x) = x^6 + 26x^5 + 359x^4 + 3224x^3 + 24025x^2.

A polynomial of degree 6, P(x) has a leading coefficient of 1, and has roots of multiplicity 1 at x = 0, multiplicity 4 at x = -7, and multiplicity 1 at x = 2.

To find a possible formula for this polynomial, we start by writing out its factored form.

Factored form of P(x)

The factored form of P(x) is given as:

P(x) = (x - r₁)(x - r₂)^(m₂)(x - r₃)(x - r₄)^(m₄)(x - r₅)(x - r₆)

where

r₁ = 0,

m₂ = 4,

r₂ = -7,

m₄ = 1,

r₃ = 2, and the remaining roots, r₄, r₅, and r₆ are unknown.

Using the given information, we can write the factored form of P(x) as:

P(x) = x(x + 7)^4(x - 2)(x - r₄)(x - r₅)

Let us evaluate the value of r₄ and r₅.

To find r₄, we make use of the fact that P(x) has a leading coefficient of 1.

This means that the coefficient of x^6 is 1.

Now, the product of the roots of P(x) is given as:

r₁r₂^(m₂)r₃r₄^(m₄)r₅r₆

We know that

r₁ = 0,

m₂ = 4,

r₂ = -7,

m₄ = 1,

r₃ = 2, and the remaining roots, r₄ and r₅ are unknown.

Using this information, we can write:

r₄r₅r₆ = -r₁r₂^(m₂)r₃/r₄^(m₄)

        = -0 × (-7)^4 × 2/ r₄r₄

        = (-7)^4 × 2/ 150r₄  

        = -7

Now, to find r₅, we divide 150 by (-7)^4 and then multiply the quotient by 2.

r₅ = 150/ (-7)^4 × 2r₅

   = - 25/343

Substituting the value of r₄ and r₅ in the factored form of P(x), we get:

P(x) = x(x + 7)^4(x - 2)(x + 7)(x - 25/343)

Finally, we can simplify the polynomial P(x) by multiplying out the factors as:

P(x) = x^6 + 26x^5 + 359x^4 + 3224x^3 + 24025x^2

Thus, a possible formula for P(x) is:

P(x) = x^6 + 26x^5 + 359x^4 + 3224x^3 + 24025x^2.

Learn more about polynomial of degree from this link:

https://brainly.com/question/2706981

#SPJ11

Answer:

5X2 + 2X + 3 orr 10x + 2

Step-by-step explanation:

Answer:

They sold

20 Roses and 20 Carnations

Step-by-step explanation:

The total sales of 40 flowers is $100 not $10 as in the question

Roses=$3

Carnations=$2

Total flowers sold=40

Total sales=$10

Let Roses=r

Carnations=c

c+r=40. (1)

3r+2c=100 (2)

From (1)

c=40-r

Substitute c=40-r into (2)

3r+2c=100

3r+2(40-r)=100

3r+80-2r=10

r=100-80

r=20

Substitute r=20 into (1)

c+r=40

c+20=40

c=40-20

=20

c=20

r=20

Check:

3r+2c=100

3(20)+2(20)=100

60+40=100

100=100