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3 years ago

At the end of a 10-year loan, $13,570 had

Mathematics

2 answers:

Natalija [7]3 years ago

5 0

Answer:

5.9%

Step-by-step explanation:

Assuming simple interest compounded annually,

Final Amount = Initial amount [ 1 + (interest rate)(number of years) ]

or mathematically

A = P (1 + rt)

in our case, we are given

A = Initial Amount + Interest = $23,000 + $13,570 = $36,570

P = $23,000

t = 10 years

Substituting this into the equation for simple interest,

36,570 = 23,000 (1 + 10r) (divide both sides by 23,000 and rearrange)

(1 + 10r) = 36,570 / 23,000

(1 + 10r) = 1.59 (subtract 1 from bot sides)

10r = 1.59 - 1

10r = 0.59 (divide both sides by 10)

r = 0.59 / 10

r = 0.059

hence the interest rate expressed as percentage is,

0.059 x 100% = 5.9%

Varvara68 [4.7K]3 years ago

3 0

Hiiiiiiiii the answer is .......... I don’t knowwweeee!!!!!

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NeTakaya

<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

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$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\times \frac{x+2}{x-3}$

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

$(\frac{f}{g})(x)=\frac{x^2+2x-3x-6}{1}\times \frac{x+2}{x-3}$

Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

$(\frac{f}{g})(x)=\frac{x(x+2)-3(x+2)}{1}\times \frac{x+2}{x-3}$

Now you can rewrite it as:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)}{1}\times \frac{x+2}{x-3}$

Next, multiply:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)^2}{x-3}$

Next, divide:

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$(\frac{f}{g})(x)=x^2+4x+4$

<h2>Answer:</h2>

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7 0

3 years ago

At a cafe, for every 5 sodas sold there are 9 teas sold. What is the ratio of teas sold to sodas sold? A) 5 : 9 B) 9 : 5 C) 9 :

frutty [35]

For 5 sodas sold, there are 9 teas sold

the ratio is tea: soda, or 9:5

B) 9:5 is your answer

hope this helps

7 0

3 years ago

Read 2 more answers

Which solid has a greater volume?

vivado [14]

Answer:

Step-by-step explanation:

When you find the volume for the cone and cylinder they are both 235.62

6 0

3 years ago

X=8,2x+y=12 solve by substitution show work

son4ous [18]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let's substitute the value of x as 8 in the given equation to find the value of y ~

$\sf2x + y = 12$

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6 0

2 years ago

A company manager for a tire manufacturer is in charge of making sure there is the least amount of defective tires. If the tire

Anestetic [448]

Answer:

0.347% of the total tires will be rejected as underweight.

Step-by-step explanation:

For a standard normal distribution, (with mean 0 and standard deviation 1), the lower and upper quartiles are located at -0.67448 and +0.67448 respectively. Thus the interquartile range (IQR) is 1.34896.

And the manager decides to reject a tire as underweight if it falls more than 1.5 interquartile ranges below the lower quartile of the specified shipment of tires.

1.5 of the Interquartile range = 1.5 × 1.34896 = 2.02344

1.5 of the interquartile range below the lower quartile = (lower quartile) - (1.5 of Interquartile range) = -0.67448 - 2.02344 = -2.69792

The proportion of tires that will fall 1.5 of the interquartile range below the lower quartile = P(x < -2.69792) ≈ P(x < -2.70)

Using data from the normal distribution table

P(x < -2.70) = 0.00347 = 0.347% of the total tires will be rejected as underweight

Hope this Helps!!!

6 0

3 years ago