A deposit of $6,500 was invested and has grown to $8,300 in 5 years. The growth in value was via simple interest, calculated on the basis of the initial investment. Calculate the rate of interest. Give your answer as a percentage to the nearest tenth of a percent.

Answers

Answer 1

Answer: 5.5%

Step-by-step explanation:

Since the money invested has grown to $8300 and the principal was $600, this means the interest is:

= $8300 - $6500

= $1800

Simple interest = (Principal × Rate × Time)/100

1800 = (6500 × Rate × 5)/100

Cross multiply

1800 × 100 = 32500 × Rate

Rate = 180000/32500

Rate = 5.5%


Related Questions

a worker uses 450 inches of steel wire to make 300 springs of the same size. at this rate how many inches of steel wire are needed to make 1 spring?

Answers

Answer:

D

Step-by-step explanation:

You divide the 450 inches of steel by the 300 springs to get 1.5 or 1 1/2

a trick to have a better idea is that if the number that is being divided is larger than the number you are dividing by, the answer will always be greater than one.

En la figura, la suma de las medidas p + q + r + s =/In the figure, the sum of the measures p + q + r + s =

And if someone know the explanation please write it​

Answers

Answer:

I think its 300

Step-by-step explanation

This is from my understanding, so I may be a bit wrong.

1. First observe the amount of triangles that form, you have two main triangles and one isosceles triangle that forms in the middle by how these are joined together.

2. Using this idea we will come up  with the equations of  each triangle that has been formed.

3. We can observe that almost all angles are named with a variable except the one in the middle, being an isosceles we will name the missing variable y.

4. Triangle 1(left side) or T1 equals 180 degrees but what angles form this triangle, these would be p+q+y = 180, T2(right side) = r+s+y = 180

5. After creating these two triangles we notice that we have not taken into account the triangle in the middle, we are given 1 angle of this isosceles. There is a mathematical property which I don't remember the name, but essentially the angle below is the same as the angle above, this being 120 degrees. This will result in T3 = 2y + 120 = 180

6. Solve for y, which gives us y=30, *simple triangle math you know*

7. Finally we fix our equations for p+q+r+s, essentially T1 and T2 will transform into p+q = 180-y and r+s = 180-y, we add them up forming p+q+r+s = 2(180-y)

8. Solve the equation p+q+r+s = 360 - 2y which when adding y becomes p+q+r+s = 360-60 = 300

Notes: when doing these exercises it is important to take into account every triangle, the isosceles triangle is very vital for solving it, as it gives us a way for making an equation that is single handedly dependent on y a constant we can find and use. A good approach for these issues would be writing every piece of information as separate sets and then trying to join them using algebra.

Albert's mom has 2,523 reward points from shopping at an online store. She uses the points to buy gift cards for free cups of coffee. Each gift card costs 75 points. What is the greatest number of gift cards Albert's mom can buy? How many reward points will she have left? Use the drop-down menus to choose the numbers that make the statement true.

Answers

Answer:

Maximum number of gift cards she can purchase = 33

Reward points left with her = 48

Step-by-step explanation:

Let Albert's mom buys the number of gift cards = x

Points for each gift card = 75

Total points consumed to buy x gift cards = 75x

If total points with Albert's mom = 2523

So the remaining points with her = (2523 - 75x)

Inequality representing the remaining points will be,

(2523 - 75x) ≥ 0

75x ≤ 2523

x ≤ [tex]\frac{2523}{75}[/tex]

x ≤ 33.64

Maximum number of cards she can buy = 33

Therefore, reward points with her = 2523 - (75 × 33)

                                                         = 2523 - 2475

                                                         = 48

1 x 1
2 x 2
4 x 4
16 x 16
200 x 19.56

Answers

Answer:

we should solve it or what should we do...

Maritza esta vendiendo una bicicleta seminueva que ya no utiliza. Como le costo doscientos soles, incluido IGV, ahora la venderá a veinte por ciento menos de lo que le costó. Deduce gráficamente el precio al que vendera Maritza la bicicleta y argumenta tu respuesta. ¿Cómo representarías el valor de venta de la biciclita?

Answers

Answer:

Ok, primero, como lo deducimos gráficamente?

Sigamos estos pasos.

Dibujemos en una recta, la distancia entre el punto 0 soles y el precio de la bicicleta = 200 soles.

200 soles representa el 100%.

Ella lo quiere vender al 80% (o le quiere restar el 20%).

Entonces, con una regla, medir la distancia entre 0 soles y 200 soles.

Dividir esa cantidad por 10. (cada una de estas cantidades va a representar un 10%)

Multiplicar eso por 8.

Esa cantidad es el equivalente al 80% del precio de la bicicleta.

Abajo hay un dibujo donde se ve el método.

Una forma mas matemática de resolverlo es:

200 soles = 100%.

x soles = 80%

x es el precio al que ella va a vender la bicicleta:

Veamos el cociente de esas dos ecuaciones:

200/x = 100%/80%

x = 200*(80%/100%) = 160

Ella vendería la bicicleta en 160 soles.

Bennett has been practicing the cello for an hour each day. 3/4of the hour, he spends practicing musical pieces in preparation for his upcoming orchestra concert. He spends the other 1/4of the hour practicing scales. If he spends 2/5of his practice time on musical pieces playing one of the orchestra pieces, Excerpts from Pirates of the Caribbean, how much of the hour does he spend playing that music?

Answers

Answer:

[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]

Step-by-step explanation:

Given

[tex]Time = 1\ hour[/tex]

[tex]Musical\ Pieces = \frac{3}{4}\ hour[/tex]

[tex]Practicing\ Sales = \frac{1}{4}\ hour[/tex]

Orchestral = [tex]\frac{2}{5}[/tex] of music practice time

Required

Determine time spent on orchestral pieces

From the given parameters, we have:

Orchestral = [tex]\frac{2}{5}[/tex] of music practice time

Substitute [tex]\frac{3}{4}\ hour[/tex] for music practice time.

So, we have:

[tex]Orchestral\ Time = \frac{2}{5} * \frac{3}{4}\ hour[/tex]

[tex]Orchestral\ Time = \frac{1}{5} * \frac{3}{2}\ hour[/tex]

[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]

Sarah and her children went into a movie theater where they sell bags of popcorn for $7.50 each and drinks for $4.50 each. Sarah has $90 to spend and must buy a minimum of 16 bags of popcorn and drinks altogether. If xx represents the number of bags of popcorn purchased and yy represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

A possible solution is she should by 6 bags of popcorn and 10 drinks

Step-by-step explanation:

The price of each bag of popcorn = $7.50

The price of each drink = $4.50

The amount Sarah has to spend = $90

The number of bags of popcorn and drinks Sarah must buy = 16 bags of popcorn and drinks

Let the number of bags of popcorn purchased be represented by x and the number of drinks purchased be represented by y

Therefore, we have;

x + y ≥ 16.....(1)

x × 7.5 + y × 4.5  ≤ 90

Which gives;

7.5·x + 4.5·y ≤ 90....(2)

Rewriting the inequalities as a function of y, gives;

From inequality (1), x + y ≥ 16, we have;

y = ≥ 16 - x

From inequality (2), 7.5·x + 4.5·y ≤ 90, we have;

7.5·x + 4.5·y ≤ 90

4.5·y ≤ 90 - 7.5·x

y ≤ 90/4.5 - 7.5/4.5·x

y ≤ 20 - 5/3·x

Please find attached, the plot of the inequalities

A possible solution is given as the value of x = 6, where y = 10

Therefore, she should by 6 bags of popcorn and 10 drinks.

Graph the linear function f(x)=3−6x

Answers

Answer:

(-1,9) (0,3), (1,-3), (2,-9)

Step-by-step explanation:

y intercept is -3

slope is -6, so you would go down by 6 and right by 1.

Answer:

The coordinates to graph this would be (-1,9) (0,3) (1,-3) (2,-9)

A clock originally priced at $88 was sold at a sale for $77. The percentage discount?

(a) 11 (b) 12 1/2 (c)14 2/7 (d) 23

Answers

Answer:

It would be 12 1/2. (12.5%)

29747 ÷ 5828 × 492 equals what?​

Answers

The answer is 2511.242965

Answer:

2511.2429

Step-by-step explanation:

You should know this this like yr 7 stuff

29747÷ 5828=5.1041523

5.1041523 × 492= 2511.2429

2 ones and 96 thousandths as a decimal number

Answers

Answer:

2.096

Step-by-step explanation:

Daniel works in a market. He has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each. If he uses up all the potatoes, how many smaller bags of potatoes will Daniel have filled? 29 32 3212 234916

Answers

Answer: 30 small bags

Step-by-step explanation:

From the question, we are informed that Daniel works in a market and that he has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each.

When he uses up all the potatoes, the number of smaller bags of potatoes that Daniel will have filled will be 6514 divided by 214. This will be:

= 6514/214

= 30.43

= 30 small bags

Consider the equation 3x+10=2x+10. Does this equation have one solution, infinitely many solutions, or no solutions? Explain your answer.

Answers

Answer:

One solution:  x = 0

Step-by-step explanation:

Starting with 3x+10=2x+10,

subtract 2x from both sides.  We get x + 10 = 10, or x = 0.  This equation has ONE solution, x = 0.

Sam travel 20 miles in three hours. Sam walked part of the distance at a speed of 4 mph. Sam rode his bicycle for the remaining distance at a speed of 12 mph. How many hours did Sam spend walking? How many hours did Sam spend biking?

Answers

Answer:

Sam sokey 0.5 hours biking and 3.5 hours walking

Step-by-step explanation:

Here, we want to know the number of hours spent walking and biking

Mathematically; distance = speed * time

Let the number of hours spent walking be x and the number of hours spent biking be y

Mathematically;

x + y = 3 •••(i)

distance spent walking = 4 * x = 4x miles

distance spent biking = 12 * y = 12y miles

4x + 12y = 20

divide through by 2

2x + 6y = 10 ••••••(ii)

From i , x = 4-y

Substitute this into ii

2(4-y) + 6y = 10

8 - 2y + 6y = 10

8 + 4y = 10

4y = 10-8

4y = 2

y = 2/4 = 0.5 hours

The number of hours spent walking = 4-0.5 = 3.5 hours

NEED HELP!! ILL MARK YOURE ANSWER BRAINLIST.

1) In 2005 the number of seniors at Falcon decreased by 63 students over the 9 month school year. If the decrease was the same over the entire 9 months, write the monthly decrease as a quotient of integers and find the monthly decrease. please show you're work.​

Answers

Answer

9

Step-by-step explanation:

Divide 63 by 9 months

7 students per month

63 / 9 = 7


How do I get the rule

Answers

Stat->edit on the calculator and put the x in the first column and the y in the second.

Item 10 Question 1 Solve the equation y/3=5 .

Answers

Answer:

y = 15

Step-by-step explanation:

y/3 = 5

Multiply each side by 3

y/3 *3 = 5*3

y = 15

Layla read 1 book in 4 months. What was her rate of reading, in books per month? Give your answer as a whole number or a FRACTION in simplest form.

Answers

Answer:

1/4 books per month.

Step-by-step explanation:

1 book in 4 months means you have to do 1 divided by 4 which equals .25. After converting to a fraction you get 1/4.

A dolphin swam7 1/2 miles in 3/8 hour. what is its average speed in miles per hour?

Answers

Answer:

20 mph

Step-by-step explanation:

To find miles per hour you divide the number of miles by the number of hours

 

(7 1/2)/(3/8) = (15/2)(8/3) = 20 mph

[tex]\frac{x^{2} }{3x^{2}+8x-3 } divided \frac{x-3}{x+2}[/tex]

Answers

Answer:

ddsdvffgdf gddccd fddf

The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.

A graph titled Tammy's Pay with number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).

What does the y-intercept represent?

Answers

The y-intercept represents "How much Tammy is getting paid for each hour she works".

Given that the graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.

And, a graph titled Tammy's Pay with a number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).

How to find what the y-intercept represents?

If y, is the amount she gets paid then the line on the graph shows the ratio of how much she gets paid for each hour of work.

Learn more about y-intercept on: https://brainly.com/question/16009543

#SPJ2

Answer:

Answer is A

Step-by-step explanation:

What are rational numbers

Answers

Answer:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers

Answer:

C. it cannot be a whole number

Step-by-step explanation:

Which equation represents the graphed function?


A. -3x+2=y
B. -2/3x+2=y
C. 3/2x-3=y
D. 2x-3=y


Plz help me I am taking the unit test on edge

Answers

Answer:

try c, i took the test as well its either that or b

Step-by-step explanation:

Answer:

I'm pretty sure the answer is D

please can you help. i would really appreciate it

Answers

Answer:

The integers that satisfy both inequalities are any number between -4.5 and -12

Step-by-step explanation:

Hope this helps and pls do mark me brainliest if you can:)

Solve for v

-39v=4v+7(v+7)

Answers

Answer:

-49/50

Step-by-step explanation:

-39v=4v+7(v+7)

Distribute

-39v = 4v +7v+49

Combine like terms

-39v = 11v+49

Subtract 11 v from each side

-39v-11v = 11v-11v +49

-50v = 49

Divide by -50

-50v/-50 = 49/-50

v = -49/50

Answer:

v= - 49/50

Step-by-step explanation:

-39v=4v+7(v+7)

open the parentheses by multiplying both v&7 by 7:

-39v=4v+7v+49

add like terms:

-39v-4v-7v=49

-50v=49

divide both sides by -50:

v= - 49/50

Which triangle correctly shows that the side opposite the larger angle is the larger side? A triangle has side lengths of 13, 5, 10 and angle measures of 30 degrees, 100 degrees, and 50 degrees. A triangle has side lengths of 5, 5, 5 and angle measures of 60 degrees, 60 degrees, 60 degrees. A triangle has side lengths 5, 13, 12 and angle measures of 90 degrees, 67 degrees, 23 degrees.

Answers

Answer:

C) is your choice

Step-by-step explanation:

(x2 – 2x – 2)(3x2 - 4x +4)

Answers

Answer:

10-4x

Step-by-step explanation:

The answer to the equation is 10-4x

*30 POINTS!*
Determine if each equation represents the graph below. Choose ALL correct equations. You will select more than one answer.

The options are:

1. y= 2x-1

2. x-2y =2

3. y= 1/2x - 1

4. y+3 = 1/2 (x+4)

5. y-2= 1/2 (x-2)

Answers

Answer:

2, 3 and 4 represent the graph in the pic

Step-by-step explanation:

When you look at the graph, you can immediately tell the gradient and the y-intercept. The gradient is 1/2 and the y-intercept is -1

Hence the graph in the picture follows the formula: y = 1/2x - 1

When you expand/rearrange the options (1-5) into the slope form you would be able to see which of these options matches with the formula of the line.

1. y= 2x-1: Isn't the same as the equation of the line in the pic

2. Rearrange:

-2y = -x + 2        (divide both sides by 2)

y = x/2 - 1          (x/2 = 1/2x, its the same thing)

3. y= 1/2x - 1       (this is the formula of the line)

4. Expand right-hand-side:

y + 3 = 1/2x + 2    (rearrange)

y = 1/2x - 1            (this is the formula of the line)

5. Expand right-hand-side

y - 2 = 1/2x - 1      (rearrange)

y = 1/2x + 1          (is not the formula of the equation)

Answer:

The office

Step-by-step explanation:

“Would I rather be feared or loved? Easy. Both. I want people to be afraid of how much they love me.” – Michael G. Scott

Find FG. (idk how to write the question but apparently it needs to be longer)

Answers

Answer:

FG = 18

Step-by-step explanation:

FG + GH =  FH

FG + 31 = 49

Subtract 31 from each side

FG +31-31 = 49-31

FG = 18

Answer: FG is 18

Step-by-step explanation: FG + GH is FH, GH is 31 and then you substitute 31 in for GH which makes the equation FG+31=49 49-31 is 18 which means FG is 18

Which inequality is true? Use the number line to help. A number line going from negative 2.5 to positive 2.5 in increments of 0.5. Negative 1.5 greater-than 0.5 Negative 0.5 greater-than 0 Negative 1.5 less-than negative 0.5 One-half greater-than 0.5

Answers

Given:

A number line going from negative 2.5 to positive 2.5 in increments of 0.5.

To find:

The inequality which is true.

Solution:

Consider the number line as shown in the below figure.

We know that, on a line as we go to the left direction, the number become smaller and as we go right, the numbers become larger.

From the number line it is clear that -1.5 is on the left side of 0.5. So,

[tex]-1.5<0.5[/tex]

Hence, option A is incorrect.

-0.5 is on the left side of 0. So,

[tex]-0.5<0[/tex]

Hence, option B is incorrect.

-1.5 is on the left side of -0.5. So,

[tex]-1.5<-0.5[/tex]

Hence, option C is correct.

One half is equal to 0.5.

[tex]\dfrac{1}{2}=0.5[/tex]

Hence, option D is incorrect.

Answer:

C

Step-by-step explanation:

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