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3 years ago

Calculate the principal if the maturity value is $4,500 and the simple interest is $350.

Mathematics

1 answer:

suter [353]3 years ago

4 0

Answer:

The principal is $4,150.

Step-by-step explanation:

We have to find the principal if the maturity value is $4,500 and the simple interest is $350.

<u>As we know that the formula for calculating the final amount or maturity amount is given by;</u>

Amount = Principal + Interest

Here, Simple interest = $350

Amount or Maturity value = $4,500

So, the Principal = Amount - Interest

Principal = $4,500 - $350

= $4,150

Hence, the principal if the maturity value is $4,500 and the simple interest is $350 is $4150.

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Circles are described below by the coordinates of their centers, C, and one point on their circumference, A. Determine an equati

Art [367]

Using the given center and point at the circumference, the equation of the circles are:

a) $(x - 5)^2 + (y - 2)^2 = 100$

b) $(x + 2)^2 + (y + 5)^2 = 169$

c) $(x - 5)^2 + (y + 1)^2 = 65$

<h3>What is the equation of a circle?</h3>

The equation of a circle of radius r and center $(x_0,y_0)$ is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

Item a:

Center C(5,2), hence $x_0 = 5, y_0 = 2$ .

The point at the circumference is A(11,10), hence:

$(x - 5)^2 + (y - 2)^2 = r^2$

$(11 - 5)^2 + (10 - 2)^2 = r^2$

$r^2 = 100$

Hence:

$(x - 5)^2 + (y - 2)^2 = 100$

Item b:

Center C(-2,-5), hence $x_0 = -2, y_0 = -5$ .

The point at the circumference is A(3,-17), hence:

$(x + 2)^2 + (y + 5)^2 = r^2$

$(3 + 2)^2 + (-17 - 5)^2 = r^2$

$r^2 = 169$

Hence:

$(x + 2)^2 + (y + 5)^2 = 169$

Item c:

Center C(5,-1), hence $x_0 = 5, y_0 = -1$ .

The point at the circumference is A(-2,-5), hence:

$(x - 5)^2 + (y + 1)^2 = r^2$

$(-2 - 5)^2 + (-5 + 1)^2 = r^2$

$r^2 = 65$

Hence:

$(x - 5)^2 + (y + 1)^2 = 65$

You can learn more about equation of a circle at brainly.com/question/24307696

4 0

2 years ago

In a survey, 28 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped

Rina8888 [55]

Answer:

The 80% confidence level estimate for how much a typical parent would spend on their child's birthday gift is between $33.954 and $35.246.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution should be used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 28 - 1 = 27

80% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.8}{2} = 0.9$ . So we have T = 1.314

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 1.314\frac{2.6}{\sqrt{28}} = 0.646$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 34.6 - 0.646 = $33.954

The upper end of the interval is the sample mean added to M. So it is 34.6 + 0.646 = $35.246

The 80% confidence level estimate for how much a typical parent would spend on their child's birthday gift is between $33.954 and $35.246.

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3 years ago

Ratio question. Someone please help me!<br>

kipiarov [429]

Answer:

b is the right answer

Step-by-step explanation:

because the ratio of 98÷10=9.8

when we did the ration of 1078÷110=9.8

we can say that both ratio is same.

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3 years ago

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David is buying a new car. He can choose

AysviL [449]

Answer:

385 different combinations

Step-by-step explanation:

In order to find the number of different combinations when given the number of options, simply multiply all options together - almost as if you were solving for the volume of a rectangular prism.

For example, if I were given 3 different colors and 2 different interior materials, I would have 6 different combinations of cars, because 3x2 is 6.

In this case, 11x5x7 is 385!

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3 years ago

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nydimaria [60]

Answer:

Step-by-step explanation:

Where's the answer choice?

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3 years ago

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