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3 years ago

What is the simple interest paid to the nearest cent for each principal, interest rate, and time? $834, 3%, 15 months

Mathematics

1 answer:

SashulF [63]3 years ago

4 0

A=Pe^rt
P=principal(starting)
E= function on calculator
r= rate
T= time (how long)

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Mrs Tan bought 4 times as many pens as notebooks and each notebook cost $8.20 more than each pen. She spent $26 more on the book

lilavasa [31]

Let x be the cost of 1 pen
then cost of 1 notebook = x + 8.20

Let y be the number of pens Tan buys
then number of notebooks Tan buys = y/4

She spent $26 more on books than on pens which means

Cost of notebooks - Cost of pens = 26
(x + 8.20) * y/4 - xy = 26

Sinplifying it

(xy + 8.20y)/4 - xy = 26
(xy + 8.20y - 4xy)/4 = 26
8.20y - 3xy = 104

She spent $394 which means

Cost of notebooks + Cost of pens = 394
(x + 8.20) * y/4 + xy = 394

Simplifying it

(xy + 8.20y)/4 + xy = 394
(xy + 8.20y + 4xy)/4 = 394
8.20y + 5xy = 1576

Now, we have two equations,

(1) 8.20y - 3xy = 104
(2) 8.20y + 5xy = 1576

Now we need to find a third equation with either x or y as the subject of any of both the previous equations.

Let's make y the subject of (2) equation

8.20y + 5xy = 1576
y(8.20 + 5X) = 1576
(3) y = 1576/(8.20 + 5x)

Let's substitute the new value of y from (3) into (1) because we rearranged (2) to from (3)

8.20y - 3xy = 104
y(8.20 - 3x) = 104
y = 104/(8.20 - 3x)
1576/(8.20 + 5x) = 104/(8.20 - 3x)
1576 * (8.20 - 3x) = 104 * (8.20 + 5x)
12923.2 - 4728x = 852.8 + 520x
12923.2 - 852.8 = 4728x + 520x
12070.4 = 5248x
12070.4/5248 = x
x = 2.3

Now find the value of y by substituting the value of x in either equation, preferably (3)

y = 1576/(8.20 + 5x)
y = 1576/(8.20 + 5 * (2.3))
y = 80

Therefore cost of 1 notebook = x + 8.20 = 2.3 + 8.20 = $10.50

8 0

3 years ago

Dan bought five new baseball trading cards to add to his collection .The next day his dog ate half of his collection .There are

AleksandrR [38]

-- After dog ate 1/2 of the collection, there were 29 remaining.

-- Just before dog came along, there were (2 x 29) = 58 cards.

-- That was after Dan added 5 new ones.

-- Before he added the 5 new ones, there were (58 - 5) = 53 cards.

-- When this story began, Dan had <em>53 cards</em>.

8 0

3 years ago

Read 2 more answers

10 increased by the quotient of a number and 6 is 15

Makovka662 [10]

<h2>Verbal Phrase to Mathematical Phrase</h2><h3>Answer:</h3>

$10 +\frac{n}{6} = 15\\$

<h3>Step-by-step explanation:</h3>

Let that number be $n$ .

The quotient of a number and $6$ is $\frac{n}{6}\\$ .

"Increased" is just another term for "plus (+)" so $10$ increased by The quotient of a number and $6$ is $10 + \frac{n}{6}\\$

And it tells us that it is $15$ so it must be $10 +\frac{n}{6} = 15\\$

3 0

3 years ago

SOMEONE PLEASE HELP ME I WILL GIVE YOU BRAINLY

Ivanshal [37]

Step-by-step explanation:

a scatter plot with no association

7 0

3 years ago

Giovanna has two possible driving routes to her new workplace, and she is having a hard time figuring out which is faster. The f

Oliga [24]

Answer:

Experiment

Step-by-step explanation:

An observational study is a study where researchers simply collect data based on what is seen and heard and make inferences based on the data collected.

Whereas, Experimental studies are the ones where researchers introduce an intervention and study the effects.

Giovanna did not just collect data alone and make inferences based on the collected data, as is done during an observational study, but she studied the effects of the data that she collected by calculating the average driving duration for each route.

Hence we see that she conducted an Experimental study.

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3 years ago