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4 years ago

If an interest is $57.75, the principal $550, and the time 3 years, what is the interest rate

1 answer:

4 0

Interest rate = I * 100 / P * R
r = 57.75 * 100 / 550 * 3
r = 5775 / 1650
r = 3.5

So, your final answer is 3.5%

Hope this helps!

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Explain what the equation 110d = 100d + 40 represents<br>in the context of the example problem.

Tanya [424]

<em>This means that at some specific number of days the cost for Oceanview and Beachside will be the same.</em>

<h2 /><h2>Explanation:</h2>

See the complete question in the attached file. In this exercise, we know that Oceanview charges $100 per day plus a one-time fee of $40. This can be represented by the following equation:

Total cost for Oceanview:

$c=100d+40$

Total cost for Beachside:

$c=110d$

Where:

$c:Represents \ the \ cost \\ \\ d:Represents \ the \ number \ of \ day$

So we have to explain what the equation:

$110d=100d+40$

represents in the context of the problem. We have used substitution in order to get that equation, so <em>this means that at some specific number of days the cost for Oceanview and Beachside will be the same.</em>

This value was calculated and we get that<em> the cost at the hotels will be the same after 4 days and it will be $440.</em>

<h2>Learn more:</h2>

Linear equations: brainly.com/question/12412678

#LearnWithBrainly

3 0

3 years ago

If using the method of completing the square to solve the quadratic equation

hram777 [196]

Add 20 to complete the square

4 0

4 years ago

When simplifying 4x^3-10x^2+6x/2x^3+x^2-3x, what are the term(s) that can be cancelled

brilliants [131]

Answer:

x can be cancelled

Step-by-step explanation:

we are given

$\frac{4x^3-10x^2+6x}{2x^3+x^2-3x}$

Firstly, we will factor numerator and denominator

and then we can factor it

$4x^3-10x^2+6x=2x(2x^2-5x+3)$

$4x^3-10x^2+6x=2x(2x+1)(x-3)$

now, we can factor denominator

$2x^3+x^2-3x=x(2x^2+x-3)$

$2x^3+x^2-3x=x(x-1)(2x+3)$

now, we can replace it

$\frac{4x^3-10x^2+6x}{2x^3+x^2-3x}=\frac{2x(2x+1)(x-3)}{x(x-1)(2x+3)}$

we can see that

both terms are having x common

so, x can be cancelled

So,

x can be cancelled

3 0

4 years ago

The probability that Scott will win his next tennis match is 3/5

goblinko [34]

Answer:

the probability that he will not win is 2/5 cause it's just the chance that he doesn't win

6 0

3 years ago

Hot dogs come in packages of 10 and hot dog buns come in packages of 8 . What is the least amount of product that you need to Bu

lubasha [3.4K]

This exercise is solved by finding the least common multiple between 10 and 8.

In fact, you have to buy a certain number $h$ of hot dog package, and you will have $10h$ hot dogs, since there are 10 hot dogs in each package. The key concept here is that the number of hot dogs you have in the end is a multiple of the number of hot dogs in each box.

Similarly, you have to buy a certain number $b$ of hot dog buns package, and you will have $8b$ hot dogs, since there are 8 hot dog buns in each package. Again, the key concept here is that the number of hot dog buns you have in the end is a multiple of the number of hot dog buns in each box.

Then, you want to have the same number of hot dogs and hot dog buns, i.e. you want

$10h = 8b$

but you also want $h$ and $b$ to be the first values to satisfy this equation.

This means that you want a multiple of 10 to equal a multiple of 8, and you want the smallest possible number which does the trick. Again, this is exactly the definition of the least common multiple.

To find the least common multiple of two numbers, find their prime factorization, and collect all the primes from both factorizations, with the highest exponent possible. Since $10 = 2\cdot 5$ and $8 = 2^3$ , the primes appearing are 2 and 5. The higher exponent for 2 is 3, and the only exponent for 5 is 1. So, the answer is $2^3\cdot 5 = 40$ .

So, if you buy 4 packages of hot dogs and 5 packages of hot dog buns, you will have 40 hot dogs and 40 hot dog buns, as requested.

4 0

4 years ago

Read 2 more answers