How much simple interest is earned on 6,000 at an interest rate of 2.25% in 4 1/2

Answers

Answer 1
The formula is
I=prt
I interest earned?
P principle 6000
R interest rate 0.0225
T time 4 1/2 means 4 years and half
Which is 4.5 (4+1/2)

I=6,000×0.0225×4.5
I=607.5....answer

Hope it helps!

Related Questions

Can you please explain to me what the end behavior of the function f(x)=-2x^4-x^3+3 looks like?
I have trouble putting it into terms of approaching infinities as well.Thank you!

Answers

The dominant term is -2x⁴. 

As X approaches infinite, y is naturally going to be really large as well.

Remember that a number with an even exponent, regardless of whether it's positive or negative, will be positive.
As x approaches infinite, y will approach -2 * ∞, or -∞. Therefore, the end behavior in the positive direction is y=-∞
As x approaches negative infinite, y will approach -2 *∞ again. This is because         -∞⁴ = ∞. Therefore, the end behavior in the negative direction is also y=-∞

Basically, due to the dominance of the -2x^4 term, the function will look more or less like a downward facing parabola with a y-intercept of 3.

The equationoflinevis y + 10 = 2 3 ( x – 8 ) . line w , which is parallel to line v , includes the point (6, -5) . what is the equation of line w ?

Answers

You know that if 2 lines are parallel, they have the same slope. 

First, find the slope of the given line; 

y+10 = 23(x-8)
y=23x-184-10 
y=23x-194

Slope is 23 

Write out the basic format; 

y=mx+c 
y=23x+c <--- replace x and y values here 
-5=23(6)+c 
-5-138=c 
-143=c 

Therefore, this equation would be y=23x-143

Hope I helped :)

For the equations given above, which statement is true?

Answers

Consider the first equation : -3x-8=19.

Adding 8 to both sides, we get -3x=27. Dividing by -3 yields the solution x=-9.


Consider the first equation : -3x-2=25.

Adding 2 to both sides, we get -3x=27. Dividing by -3 yields the solution x=-9, again.


Thus, the 2 equations have the same solution.


We could have achieved this result also by noticing that the second equation is equivalent to first one, adding 6 to both sides.


Answer: A) The equations have the same solution because the second can be obtained by adding 6 to both sides of the first equation.

10. Which transformations result in a preimage and image with opposite orientations?
1 point
Dilations only
Translations and rotations
Rotations and reflections
Reflections and glide reflections

Answers

Reflections and glide reflections both give you a transformation where the preimage and image have opposite orientations.
Final answer:

In geometry, reflections and glide reflections are transformations that result in a preimage and an image with opposite orientations. This happens because a reflection flips an object over a line, creating a mirror image with reverse orientation. A glide reflection combines a translation and a reflection, also leading to opposite orientation.

Explanation:

In mathematics, particularly in geometry, when we talk about a preimage and an image, we refer to the original shape and the shape after transformation respectively. The transformation that results in a preimage and image with opposite orientations is reflections and glide reflections. A reflection is a transformation that flips a figure over a line, thus turning it into its mirror image. This reverses the orientation of the figure. A glide reflection involves a translation (or glide) followed by a reflection. Again, the result will have an orientation opposite to the original (or preimage).

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Victoria is 4 years older than her neighbor. the sum of their ages is no more than 14 years. 1. enter an inequality that can be used to represent this situation in the first box, where x represents victoria's neighbor's age. 2. enter the oldest age victoria's neighbor in the second box.

Answers

V = x + 4
x = neighbors age

x + x + 4 < = 14...here is the inequality
2x + 4 < = 14.....this is just a simplified form of the inequality
not sure which one u want to write, because they are both basically the same...one is just simplified a little

2x + 4 < = 14
2x < = 14 - 4
2x < = 10
x < = 10/2
x < = 5.....the oldest age of the neighbor is 5

Which statement describes a parallelogram that must be a square?
A. A parallelogram with a pair of congruent consecutive sides and diagonals that bisect each other.
B. A parallelogram with a pair of congruent consecutive sides and diagonals that are congruent.
C. A parallelogram with a right angle and diagonals that are congruent
D. A parallelogram with diagonals that bisect each other.

Answers

Answer:  B. A parallelogram with a pair of congruent consecutive sides and diagonals that are congruent.

Step-by-step explanation:

We know that a parallelogram is a quadrilateral having congruent opposite  sides and its diagonals bisect each other.

A square is a kind of parallelogram having all its consecutive sides equal and both diagonals congruent to each other.

Its all 4 angles are right angle.

let's check all the statements :

A. A parallelogram with a pair of congruent consecutive sides and diagonals that bisect each other.

→It can be rhombus ∵ it also has same characteristics.

B. A parallelogram with a pair of congruent consecutive sides and diagonals that are congruent.

→ It only occurs in square.

C. A parallelogram with a right angle and diagonals that are congruent .

→ it can be a rectangle ∵ it has all its angles right angle and diagonals are congruent.

D. A parallelogram with diagonals that bisect each other.

→ It is the basic property of parallelogram , it can describe a rhombus or rectangle both.

The statement that must be true is (b) A parallelogram with a pair of congruent consecutive sides and diagonals that are congruent.

A parallelogram has parallel and congruent opposite sides

However, the following must be true about parallelograms that can be regarded as squares:

There are congruent consecutive sidesThe diagonals are congruent

Hence, the true statement is (b)

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An architectural drawing of a building shows the elevation of the basement floor to be â12 feet. the elevation of the roof is 32 feet. what is the total distance from the roof to the basement floor?

Answers

The total distance from the roof to the basement floor is 20 feet. If the elevation of the basement floor is 12 feet and the elevation of the roof is 32 feet, then you must subtract the elevation of the basement floor from the elevation of the roof to get the distance between them.

Carol earns $8.50 per hour plus 6% commission. She worked 40 hours last week. What is her salary if her total sales were $250

Answers

40x$8.50=$340
$250x6%=$15
$340+15=$355

The first quartile of a data set is 2.5.
Which statement about the data values is true?
One fourth of the values are less than or equal to 2.5, and three fourths of the values are above 2.5.
Half of the values are less than or equal to 2.5, and half of the values are more than 2.5.
Three fourths of the values are less than or equal to 2.5, and one fourth of the values are above 2.5.
One fourth of the values are less than or equal to 2.5, and half of the values are above 2.5.

Answers

the first quartile represents 25%....or 1/4 of the data
2nd quartile represents 50%..or 2/4
3rd quartile represents 75%...or 3/4

so if the 1st quartile is 2.5.....1/4 of the values are less then or equal to 2.5, and 3/4 of the values are above 2.5

First statement is true.

One fourth of the values are less than or equal to 2.5, and three fourths of the values are above 2.5.

The first quartile (Q₁) is defined as the middle number between the smallest number (minimum) and the median of the data set. It is also known as the lower or 25th empirical quartile, as 25% of the data is below this point.The first quartile , is located such that 25 percent of the data lie below first quartile and 75 percent of the data lie above first quartile.

Therefore, The first quartile of a data set is 2.5. this statement represent that One fourth of the values are less than or equal to 2.5, and three fourths of the values are above 2.5.

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the number of people who own computers has increased 23.2% annually since 1990. if half a million people owned a computer in 1990 predict how many people will own a computer in 2015

Answers

23.2% annually=.232
2015-1990=25
(1+.232)^25=184.19
184.19 x .5(million)=92.1 million people own a computer in 2015
☺☺☺☺

The no. of people own computer in 2015 are 92.0953 million.

What is compound interest?

The interest charged on a loan or deposit is known as compound interest. In our day-to-day lives, it is the concept we use the most. The amount's compound interest is based on both the principal and the interest earned over time. This is the primary distinction between simple and compound interest.

Given annually increase rate of computers = R =  23.2%

people own computer in 1990 = 1/2 million = 0.5 million

let no. of people own computer in 2015 be x

compound interest for annually increase in rate is p[tex](1 + R/100)^{t}[/tex]

where t = time and R = rate

Time = 2015 - 1990 = 25 years

x = 0.5(1 + 23.2/100)²⁵

x = 0.5(1.232)²⁵

x = 0.5 × 184.1906

x = 92.0953 million

Hence 92.0953 million people own computer in 2015.

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A bag contains 6 blue marbles, 10 red marbles, and 9 green marbles. If two marbles are drawn at random without replacement, what is the probability that two red marbles are drawn?

Answers

So since there are 6 blue marbles, 10 red marbles, and 9 green marbles, that means that there are 25 marbles in total.  This means the chance of pulling ONE red marble is 10/25 which simplifies to 2/5.  If you want to pull 2 red marbles, you'd multiply the chance of pulling one marble to the chance of pulling one marble. (2/5 times 2/5)
You'd get 4/10. Which is a 40% percent chance.
(not completely sure about this one..)
6 blue, 10 red, 9 green...for a total of 25 marbles

P(1st one drawn is red) = 10/25 reduces to 2/5
without replacement
P(2nd one drawn is red) = 9/24 reduces to 3/8

P(both events happening) = 2/5 * 3/8 = 6/40 reduces to 3/20 <=

please help me!
Daisy is making an abstract painting with two triangles. The dimensions of the painting are shown below:

The total area of the two triangles is _____ square inches.

Answers

area is 8*10 = 80 ( Area of square formed by dotted line)

 1/2 *4 * 10 = 20 (Area of small triangle formed by dotted line)

20 +80 = 100 square inches

The shorter leg of a 30°-60°-90° triangle is 6. what is the length of the hypotenuse? 12 description

Answers

The answer is 12. The hypotenuse of a 30,60,90 triangle is always 2 times the length of the shorter leg. The length of that leg presented is 6. Therefore 6 x 2 is 12.

How does the graph of g(x) = 1/x+4-6 compare to the graph of the parent function f(x)=1/x ?

Answers

you can recall that
f(x-c) is shifting to the right by c units
f(x+c) is shifting to the left by c units
f(x)+c is shifting up by c units
f(x)-c is shifting down by c units
given that f(x)=1/x
g(x)=f(x+4)-6 thus f(x) is shifted to the left 4 units and down 6 units
Answer with explanation:

We are given a parent function f(x) as:

       [tex]f(x)=\dfrac{1}{x}[/tex]

and the transformed function g(x) is given by:

       [tex]g(x)=\dfrac{1}{x+4}-6[/tex]

We know that the transformation of the type:

     f(x) → f(x+a)

is either a shift a units to the left or to the right depending whether a is positive or negative respectively.

Also, the transformation of the type:

   f(x) → f(x)+a

is the shift of the function f(x) either upward or downward depending on whether x is positive or negative respectively.

Here the function g(x) is:

     [tex]g(x)=f(x+4)-6[/tex]

This means that the function g(x) is a shift of the function f(x) 4 units to the left and then it is translated 6 units downward.

Also we may see by the graph.

Convert 4/6 into a fraction with a denominator of 24

Answers

The correct answer would be 16/24. You would need to multiply both the denominator and numerator by 4.
Since 6 is the denominator of 4/6 and the denominator needs to be 24 for the converted fraction, divide 24 by 6 to figure out what to multiply the numerator with which is 4. The converted fraction is 16/24

Work out the value of 6x^2 when x= -2

Answers

6(-2)^2
-18^2
-324
HOPE IT HELPS!!!

We are given the expression 6x² and a value of x, -2. Starting off, we need to plug in the value of x into 6x², which, when doing so, gives us 6(-2)². By the law of PEMDAS, we will need to do the exponent first. -2² is 4, and when we multiply 4 by 6, we get 24. Therefore, the value of 6x² when x = -2 is 24. Hope this helped and have a phenomenal day!

What is the difference between linear and nonlinear equations

Answers

Thank you for posting your question here at Brainly!~

Linear equations are equations whose highest power of the variables is 1. The graph of a linear equation is a straight line.

A non-linear equation is an equation whose highest power of the variables is not 1 and the graph is not a straight line.

Hope I helped!~ Brainliest appreciated.

A business owes $8000 on a loan. Every month, the business pays 12 of the amount remaining on the loan.

How much will the business pay in the sixth month?

Answers

Final answer:

The business will pay $506.99 on the loan in the sixth month, after making monthly payments of 12% of the remaining balance on an $8000 loan.

Explanation:

To determine how much the business will pay in the sixth month on a loan where they pay off 12% of the remaining balance each month, we need to use a decay formula. This is a type of exponential decay since the amount owed is decreasing by a fixed percentage each month. The formula to find the remaining balance after each payment is:

Balance after n payments = Initial amount * (1 - rate)^n

Starting with an initial loan amount of $8000 and a monthly payment rate of 12% (or 0.12 in decimal form), we calculate the remaining balance each month until the sixth month:

Month 1: 8000 * (1 - 0.12) = 8000 * 0.88 = $7040 remainingMonth 2: 7040 * 0.88 = $6195.20 remainingMonth 3: 6195.20 * 0.88 = $5455.78 remainingMonth 4: 5455.78 * 0.88 = $4801.09 remainingMonth 5: 4801.09 * 0.88 = $4224.96 remainingMonth 6: 4224.96 * 0.88 = $3717.97 remaining

Now we can find out how much will be paid in the sixth month by calculating 12% of the balance at the end of the fifth month:

Sixth month payment = 12% of 4224.96
Sixth month payment = 0.12 * 4224.96
Sixth month payment = $506.99
The business will pay $506.99 in the sixth month.

The amount of money at a gas stations varies directly with the number of gallons purchased. When 14 gallons were purchased the cost was $27.16. Determine the cost for 18 gallons of gas.
Please answer as soon as possible!!!!!! I appreciate it guys!!!!!!

Answers

The answer is 488.88
It should be 108.64
hope this helped if it did please give me 5 stars and hit the heart button to let me know it did if it didn't please tell me the correct answer.

Which point is the center of the circle?

A.point W
B.point X
C.point Y
D.point Z

Answers

Answer:

The center of given circle is X.

Step-by-step explanation:

Given : Circle .

To find: Which point is the center of the circle?

Solution : The diameter of a circle subtends a right angle to any point on the circle is called center of circle .

Therefore, The center of given circle is X.

Answer:

Hence, point X is the center of the circle.

Step-by-step explanation:

We are given a circle.

We have to find the center of a circle.

Circle: It is the set of points in a plane which are equidistant from a particular point called the center of the circle.

As we can see all the points of a circle are equidistant from point X

Hence, point X is the center of the circle.

Hence, correct option is:

B. point X

Show all work to receive credit
What is m

Answers

Line MK intersects line JL at point N.
This means that:
measure angle MNJ is equal to measure angle LNK as they are opposite angles.

So,
5x+2 = 3(x+14)
5x+2 = 3x + 42
5x-3x = 42-2
2x = 40
x = 20

Therefore:
measure angle MNJ = 5(20)+2 = 102 degrees
measure angle LNK = 3(20+14) = 102 degrees
You will notice that they are both equal as stated in the beginning.


Simplify the expression. –9z – 13z


A. 4z

B. 4

C. –22z

D. 22z

Answers

i wish i could help soryy

Which expression equals 1?
a. sin(x) + cos(x)
b. sin^2(x) + cos^2(x)
c. sin^2(x) - cos^2(x)
d. sin(x) - cos(x)

Answers

b. sin^2 (x) + cos^2 (x)

What is the median of 150.8, 149.5, 151.2, 153.1, 150.6, 149.9, 146.5, 151.5, 153.5?

Answers

150.8 is your median

I need help with #20 and #21. Show work if possible. Thank You! :)

Answers

20)
3x-1 = 4x-2 
x=1
she had 1 hit


21)
2(3t+1) =4(2t-1)
 6t+2 = 8t-4
6=2t 
t=3
3 fish


If a car rental costs $35 per day plus $0.79 per mile, and you are traveling for 4 days, 389 miles, how much is the total rental?

Answers

35$×4=140$ rental costs for 4 days
0,79$×389=307,31$ for the miles you drove
140$+307,31$= 447,31$
So the total rent is 447,31$

Answer:

Total rent costing for traveling for 4 days, 389 miles is $447.31

Step-by-step explanation:

Given : a car rental costs $35 per day plus $0.79 per mile.

We have to find the total rent costing for traveling for 4 days, 389 miles.

Since, Cost of car rent per day is $35

Thus, Cost of car rent for 4 days is $ 35 × 4 = $140

Also, Cost of car rent per miles is $0.79

Thus, Cost of car rent for  389 miles is $ 0.79 × 389 = $307.31

Thus, total car rental cost = Cost of car rent for 4 days + Cost of car rent for  389 miles.

Total car rental cost = $140 +  $307.31

Total car rental cost = $447.31

Thus, total rent costing for traveling for 4 days, 389 miles is $447.31

I have two dice, one red and one blue. when the two dice are rolled, the probability that the number showing on the red die is larger than the number showing on the blue die si

Answers

Total possible outcomes are= 6×6=36

For example, if you roll a 1 on the blue dice, you cannot roll another 1 (since 1 is not bigger than 1). 

Rolling a 2, you'd have 4 possible choices left (you cannot roll a 1 or 2 since they are less than 2). 

(1/6)<-- picking a 1/2/3/4/5/6 out of everything;

(1/6)(5/6)=5/36 <-- (5/6) possibilities of picking a number bigger than 1
(1/6)(4/6)=4/36 <-- (4/6) possibilities of picking a number bigger than 2
(1/6)(3/6)=3/36
(1/6)(2/6)=2/36 
(1/6)(1/6)=1/36 
(1/6)(0)=0 <-- Impossible to get a number bigger than 6 in a normal dice 

Add all of them together; 

(5+4+3+2+1+0)/36=15/36

Therefore, there are 15/36 possibilities of the red die showing a number larger than that of the blue die. 

Hope I helped :)

I am a 2 digit number, add my digits together and you get 5, I am not an odd number, I am greater than 45, what am I?

Answers

the only possibility is 50. 

What is the value of 3x ( 2x²+6x+3) when x is -3?

a. -27
b. 0
c. 27
d. 54

Answers


3x ( 2x²+6x+3)=
3(-3)(2*3²+6*3+3)
-9 (2*9-18+3)=
-9 (18-18+3)=
-9 (0+3)
-9*3=
-27

geometry help will give brainliest

Answers

m<b=19 (Supplementary Angles)
m<c=101 (Triangle Angle Sum Theorem)
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