Mathematics College

$1,000 each month with .25% monthly simple interest for 1 year.

Answers

Answer 1

The compound interest is $2.5

What is Compound interest?

When you earn interest on both the money you've saved and the interest you earn, is called Compound interest.

Given that;

Principal amount = $1,000

Rate = .25%

Time = 1 year

Now, Amount = P (1 + r)^t

= 1,000 ( 1 + .25%)^1

= 1,002.5

And, Compound interest = P (1 + r)^t - P

Now, Amount = 1,000 ( 1 + .25%)^1

= 1,002.5

Hence, Compound interest = 1,002.5 - 1,000

= 2.5

So, The compound interest is $2.5.

Learn more about the compound interest visit:

https://brainly.com/question/24924853

#SPJ1

Related Questions

If Line t || Line v and m∠5 =5x + 45 and m∠7 = 12x - 11, find m∠5

Answers

The Line t || Line v the value of angle m∠5 is 69.28° .

What is line?

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

Line t || Line v

m∠5 =5x + 45

m∠7 = 12x - 11,

According to given question we have

Line t || Line v

Using the property of interior angles on same sides we get

m∠5 =m∠7

5x + 45=12x - 11

compare like terms we get

45-11=12x-5x

34=7x

x=34/7°

By put the value of x

m∠5 =5x + 45

m∠5 =5*34/7+45

m∠5 =485/7=69.28°

m∠7 =12x - 11=12*34/7-11

m∠7 =331/7°

m∠7 =47.28°

Therefore, the Line t || Line v the value of angle m∠5 is 69.28° .

Learn more details about Line here:

https://brainly.com/question/2696693

#SPJ1

There are 12 boys and 14 girls in the math club. They decide to run laps around the school track
to raise money for an upcoming competition. Each boy raised $8.00 per lap and ran at a rate of
What is the ratio of the total amount of money the boys raised in one hour to the total amount of
laps per hour. Each girl raised $10.00 per lap and ran at a rate of 4 laps every 30 minutes.
money the girls raised in one hour running around the track. HURRY

Answers

Answer:

The girls ran 8 laps in one hour, for the boys it is 48:6

Step-by-step explanation:

The girls ran 4 laps in 30 minutes so per hour is was be 8 laps because 4x2. So on the paper it would be 4x2=8

For the boys it would be 8x6 which is 48 dollars in one hour and 6 laps per hour so it would be 48:6 so just put 8x6=48 and it should work.

9. Estimation
Doug is reading two
books. The first book is 122 pages.
The second book is 189 pages.
Rounded to the nearest ten, about
how many pages will Doug read?

Answers

Answer:

310

Step-by-step explanation:

189+122=311

(311 rounded to the nearest ten is 310.)

One month Pablo rented 5 movies and 3 video games for a total of $39. The next month he rented 2 movies and 12 video games for a total of 75 . Find the rental cost for each movie and each video game.

Answers

we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.

Let the cost of number of movies be x and the cost of number of video games be y.

So, the equations are:

5 x + 3 y = 39

2 x + 12 y = 75

2 x = 75 - 12 y

x = 75/2 - 6 y

Put it in the first one, we get that:

5 ( 75/2 - 6y) + 3y = 39

375/2 - 30 y + 3 y = 39

27 y = 187.5 - 39

27 y = 148.5

y = 148.5 / 27

y = $ 5.5

x = 75/2 - 6 y

x = 37.5 - 6 (5.5)

x = 37.5 - 33

x = $ 4.5

Therefore, we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.

Learn more about cost here:

https://brainly.com/question/2021001

#SPJ9

What are the correct answers?

Answers

Answer: The first 3 answers from the top

Step-by-step explanation:

In 1980, the average price of a home in Lake County was $93,000. By 1985, the average price of a home was $118,000. Which of the following is a linear model for the price P of home in Lake County, in terms of the year t? Let t = 0 correspond to 1980.

[A] P=25,000t +93,000

[B] P=118,000-25,000t

[C] P = 5000t +93,000

[D] P=118,000-5000t

Answers

Answer: [C] P = 5000T + 93,000

Step-by-step explanation:

Each side of a square floor tile is 182 mm long. Find the area of the square defined by one of these floor tiles.

Answers

Answer:

33124

Step-by-step explanation:

please rate as brainliest

Which number below best represents a gain of $7.92?
A.
-7.92
B.
17.92
C.
-17.92
D.
7.92

Answers

Answer:

The Answer is D

Step-by-step explanation:

you just have to look for the letter that's giving you it not subtracting it. And look for the right amount.

Find the simple interest.
Principal $300
The interest Rate 15%
Time 18 months

Answers

keeping in mind that a year has 12 months, thus 18 months is really 18/12 of a year.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$300\\ r=rate\to 15\%\to \frac{15}{100}\dotfill &0.15\\ t=years\to \frac{18}{12}\dotfill &\frac{3}{2} \end{cases} \\\\\\ I = (300)(0.15)(\frac{3}{2})\implies I=67.5[/tex]

a cat ’s heart beats approximately 45 times in 15 seconds. At this rate how many times does the cat ’ s heart beat per second ?

Answers

Answer:

3 heartbeats

Step-by-step explanation:

The cat's heartbeats are 45 per 15 seconds.
To find out how many heartbeats it does per second (instead of 15), we should divide this amount by 15.

[tex]\frac{45}{15} \to 3[/tex]

Answer:

Step-by-step explanation:

45beats/15sec = 3beats/sec

Michael used a stopwatch to time the baseball pitches for three of his friends.Order from least to greatest.
Pete:0.537
Ivan:0.58
Kat:0.4996

Answers

Answer:

this is called as ascending order, it is when numbers are arranged from least to greatest

here is the answer:

ivan:0.58

pete:0.537

kat:0.4996

Step-by-step explanation:

so you have to look at the nmbers and how many digits they have for example,

ivan's number has 3 digits so its the least

kat has 5 digits so its the greatest

-2x 8y = 14
2x+8y= -14
Solve by elimination

Answers

Answer: x=-7, y=0

Step-by-step explanation:

You can see just by the set up that the x values cancel each other out without you having to do anything(-2x+2x=0). Because of this, you can add the two equations to eliminate the x values.

-2x+8y = 14

2x+8y= -14 --------> 16y=0

When you isolate the variable, you get y=0. Now you can choose one of the original equations and substitute 0 into the y value.

-2x+8y = 14 ---> -2x+8(0) = 14 ----> -2x+0 = 14 ---> -2x=14

When you divide both sides by -2, you get x=-7.

Q6. What percentage of 16 is 4?
O 30%
120%
25%
15%

Answers

Answer:

C. 25%

Step-by-step explanation:

if you add 4 4 times, you get 16, and .25 equals 1/4.

Hope this helps!

Answer:

25%

Step-by-step explanation:

4/16 = 0.25 = 25%

1.) You need 13 flower arrangements for table decorations. Each arrangement sells for $12.25. How much will you spend on flowers?

Answers

Answer:

159.25

Step-by-step explanation:

you just have to multiply 13 by 12.25

Ben can walk to the library 4 miles away, but it takes him 20 minutes longer than it would to walk to school 3 miles away. How long does it take Ben to walk to the library?

Answers

The time takes Ben to walk to the library is 80 minutes.

Given that, Ben can walk to the library 4 miles away, but it takes him 20 minutes longer than it would walk to school 3 miles away.

What is proportion?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. The proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the time taken Ben to walk to the school be x, so the time taken to walk to the library be x+20.

Now, 4 : x+20 :: 3 : x

⇒4x=3(x+20)

⇒4x=3x+60

⇒x=60

So, x+20=80

Therefore, the time taken by Ben to walk to the library is 80 minutes.

To learn more about the proportion visit:

https://brainly.com/question/7096655.

#SPJ1

10. Given AXPS ADNF, find the values of x and y.

Answers

Answer:

x = 3

y = 15

Step-by-step explanation:

Erosion typically wears the Hawaiian volcano Mono Loa down about 20 cm in 5 years. Lava flows build the volcano up about 10 cm every time there is an eruption. Mono Loa erupts about once every 2 years. Is the volcano growing or wearing down?

Answers

The volcano is growing larger by 1 cm/year.

Is the volcano growing or wearing down?

In order to determine if the volcano is growing or wearing down, determine the cm that the volcano wears down each year. To do this, we would be dividing the total cm the volcano wears down by the number of years.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

The cm the volcano wears down each year = 20 cm / 5 = 4cm

10 / 2 = 5cm

5cm - 4cm = 1 cm

This means that the volcano is growing at 1 cm per year.

To learn more about division, please check: https://brainly.com/question/13281206

#SPJ1

What is the answer to 304✖️9

Answers

Answer:

2,736

Step-by-step explanation:

hope this helps! :)

Suppose f(x) = - 2x² + 8x - 8. Compute the following:

A.) f(-1) + f(1) =

B.) f(1)-f(1) =

Answers

f(x) = -2x² + 8x - 8 by computing f(-1) + f(1) we get -20 and we don't need to calculate f(1) - f(1) it will be 0.

What is a function ?

A function can be thought of as an output for the given inputs.

According to the given question f(x) = -2x² + 8x - 8 we have to compute

A. f(-1) + f(1) = { -2(-1)² + 8(-1) - 8 } + { -2(1) + 8(1) - 8 }.

f(-1) + f(1) = { (-2 - 8 - 8) + (- 2 + 8 - 8) }

f(-1) + f(1) = - 18 - 2.

f(-1) + f(1) = - 20.

B. f(1)-f(1) = 0 ( we don't need to calculate )

learn more about functions here :

https://brainly.com/question/9046022

#SPJ1

One number is seven more than six times another number. If the sum of the numbers is 28, find the numbers

Answers

The value of the numbers x and y is a 3 and 25.

According to the statement

We have to find that the value of the numbers.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

One number is seven more than six times another number. If the sum of the numbers is 28.

Then

Let The first number = y

The second number = x

Hence, y = (7 + 6x)

Their sum is therefore;

x + 7 + 6x = 28

7x = 21

x = 3

Hence, the second number is a; 7 + 6x = 7 + 6(3);

y = 25.

So, The value of the numbers x and y is a 3 and 25.

Learn more about linear equation here

https://brainly.com/question/4074386

#SPJ9

Two numbers have these properties.
Both numbers are greater than 6.
•
Their highest common factor (HCF) is 6.
•
Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and ..

Answers

With an HCF of 6 and an LCM of 60, the numbers 12 and 30 are greater than 6.

What are mathematical operations?An operation in mathematics is a function that takes zero or more input values and produces a well-defined output value. The operation's arity is determined by the number of operands. Similar to the principle of superposition denotes a mathematical operation (e.g., differentiation, multiplication by a constant) in which the action on the sum of two functions is the sum of the action on each function.

Two numbers with HCF 6 can be:

6a, 6b where a, b are coprime numbers a, b > 1 as numbers greater than 6.

=> 6 × 60 = 6a × 6b=> 10 = abab = 1010 = 1 × 10 = 2 × 5a , b > 1

As a result, a and b can be 2 or 5.

The numbers are 6 × 2 and 6 × 5.

Therefore, with an HCF of 6 and an LCM of 60, the numbers 12 and 30 are greater than 6.

Know more about mathematical operations here:

https://brainly.com/question/18831322

#SPJ9

You buy 3.18 pounds of grapes, 1.45 pounds of peaches, and 2.76 pounds of oranges. Each pound of grapes cost 1.29, each pound of peaches cost 1.19, and each pound of oranges cost 0.99. What is my total bill?

Answers

$8.55

Grapes: 3.18lbs x $1.29/lb = $4.10

so on and so forth

Over 5 months, Carlos wrote 5 checks for a total of $335.75 to pay for his cable TV service. His cable bill is the same amount each month. What was the amount of the cable bill for one month of service?

Answers

Carlos pays monthly for his cable bill $67.15

How to calculate the monthly payment ?

For over 5 months Carlos wrote a total of 5 checks for $335.75 to make payment for his cable TV service.

The same amount is paid for the cable bill every month.

Therefore the amount paid every month can be calculated as follows

= 335.75/5

= 67.15

Hence the amount paid monthly for the cable bill is $67.15

Answers

The numbers of ways can this be done, if the order of the choices is relevant is 181,440 ways and the numbers of ways can this be done, if the order of the choices is not relevant is 36 ways.

Number of possible ways

a. N permutations

N permutations = nPr = n!/ (n-r)!

N permutations = 9P7 = 9!/(9-7)!

N permutations = 9×8×7×6×5×4×3

N permutations= 181,440

b. N combinations :

N combinations = nCr = n!/((n-r)!r!)

N combinations = 9C7 = 9!/((9-7)!7!)

N combinations =9×8×7×6×5×4×3 ×2!/7!×2!

N combinations = 9×8×7×6×5×4×3 /7!

N combinations =181,440/7!

N combinations =36

Therefore the numbers of ways can this be done, if the order of the choices is relevant is 181,440 ways and the numbers of ways can this be done, if the order of the choices is not relevant is 36 ways.

Learn more about number of possible ways here:

https://brainly.com/question/24756209

#SPJ1

Which of the terms best describes the following sequence?

162, 54, 18, 6, ...

Answers

Answer:

the respuesta is 54

Step-by-step explanation:

are not

Answer:

Geometric sequence with a common ratio of 1/3

Step-by-step explanation:

Each term is 1/3 of the previous term:
First term is : 162
Second term: 162 x 1/3 = 162/3 = 54
Third term : 54 x 1/3 = 54/3 = 18

and so on

The ratio of a term to its previous term is therefore 1/3 and this is called a common ration

This kind of sequence where each term is a multiple (1/3) of the previous term is called a geometric sequence

Write the equation of the line that passes through the points ( 7 , − 7 ) (7,−7) and ( 3 , 8 ) (3,8). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

horizontal line isywgwueve

10(v+3)-4v-2(3v+3)-9

Answers

Answer:

Step-by-step explanation:

Distribute where possible

10v + 30 - 4v -6v -6 -9

Combine like terms and do the math

Harry needs wood pieces to complete a project in woodshop class. He needs six pieces of wood that have a length of two and five eighths feet and three pieces of wood that are one and one fifth feet. What is the total amount of wood that Harry will need for the project?

Answers

Answer:

19 7/20 feet

Step-by-step explanation:

1. [tex]2\frac{5}{8}[/tex] pieces of wood

[tex]2\frac{5}{8} * 6 = 15\frac{3}{4}[/tex]

2. [tex]1\frac{1}{5}[/tex] pieces of wood

[tex]1\frac{1}{5} * 3 = 3\frac{3}{5}[/tex]

3. Combined

[tex]15\frac{3}{5} +3\frac{3}{5} = 19\frac{7}{20}[/tex]

Rectangle p q r s had vertices p(1, 4) q(6, 4) r(6, 1) and s(1, 1).without graphins find the new coordinates of the vertices of the rectangle after the reflection over the x axis and then another reflection over the y axis

Answers

The coordinates of the new vertices of the rectangle are P''(x, y) = (- 1, - 4), Q''(x, y) = (- 6, - 4), R''(x, y) = (- 6, - 1) and S''(x, y) = (- 1, - 1).

What are the coordinates of the vertices of the image of a rectangle?

In this question we find the coordinates of the four vertices of the rectangle, whose locations are described in the statement. Each point must be transformed by the following sequence of rigid transformations:

Reflection over the x-axis: P'(x, y) = P(x, y) + (0, - 2 · p)Reflection over the y-axis: P''(x, y) = P'(x, y) + (- 2 · p', 0)

If we know that P(x, y) = (1, 4), Q(x, y) = (6, 4), R(x, y) = (6, 1) and S(x, y) = (1, 1), then the locations of the images of the four vertices are:

P'(x, y) = (1, 4) + (0, - 8)

P'(x, y) = (1, - 4)

P''(x, y) = (1, - 4) + (- 2, 0)

P''(x, y) = (- 1, - 4)

Q'(x, y) = (6, 4) + (0, - 8)

Q'(x, y) = (6, - 4)

Q''(x, y) = (6, - 4) + (- 12, 0)

Q''(x, y) = (- 6, - 4)

R'(x, y) = (6, 1) + (0, - 2)

R'(x, y) = (6, - 1)

R''(x, y) = (6, - 1) + (- 12, 0)

R''(x, y) = (- 6, - 1)

S'(x, y) = (1, 1) + (0, - 2)

S'(x, y) = (1, - 1)

S''(x, y) = (1, - 1) + (- 2, 0)

S''(x, y) = (- 1, - 1)

To learn more on reflections: https://brainly.com/question/15487308

#SPJ1

13. Which products have 240 as a partial
product?
3 x 3,388
8 x 2,612
4 x 5,376
6 x 4,345
3 x 6,828

Answers

The products that have 240 as a partial product are 3 x 3,388 and 6 x 4,345

How to determine the product expression that has 240 as a partial product?

The partial product is given as

240

Express 240 as a product of its factors

So, we have

240 = 1 * 240

240 = 2 * 120

240 = 3 * 80

240 = 4 * 60

240 = 5 * 48

240 = 6 * 40

240 = 9 * 30

Next, we test the options

3 x 3,388