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2 years ago

9

joe deposits $1500 in an account that pays 3% annual interest compounded conitiniously how much will joe have in his account aft

er 5 years

1 answer:

konstantin123 [22]2 years ago

3 0

Answer:A = 1500e^(0.03 * 5) = 1500e^(0.15)

use definition of logarithm

0.15 = ln(A / 1500)

0.15 = ln(A) - ln(1500)

ln(A) = 0.15 + ln(1500) = 0.15 + 7.313220387 = 7.463220387

Step-by-step explanation:

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Relationship B has a lesser rate than Relationship A. This graph represents

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3 years ago

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Find the reference angle for 404 degrees

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It would have to be 44°. If you go around 360° nothing happens. So subtract 404°-360° and you get 44°. 44°<90° from the x-axis so we are done.

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3 years ago

A data mining routine has been applied to a transaction dataset and has classified 88 records as fraudulent (30 correctly so) an

chubhunter [2.5K]

Answer:

The classification matrix is attached below

Part a

The classification error rate for the records those are truly fraudulent is 65.91%.

Part b

The classification error rate for records that are truly non-fraudulent is 96.64%

Step-by-step explanation:

The classification matrix is obtained as shown below:

The transaction dataset has 30 fraudulent correctly classified records out of 88 records, that is, 30 records are correctly predicted given that an instance is negative.

Also, there would be 88 - 30 = 58 non-fraudulent incorrectly classified records, that is, 58 records are incorrectly predicted given that an instance is positive.

The transaction dataset has 920 non-fraudulent correctly classified records out of 952 records, that is, 920 records are correctly predicted given that an instance is positive.

Also, there would be 952 - 920 = 32 fraudulent incorrectly classified records, that is, 32 records incorrectly predicted given that an instance is negative.

That is,

Predicted value

Active value Fraudulent Non-fraudulent

Fraudlent 30 58

non-fraudulent 32 920

The classification matrix is obtained by using the information related to the transaction data, which is classified into fraudulent records and non-fraudulent records.

The error rate is obtained as shown below:

The error rate is obtained by taking the ratio of $\left( {b + c} \right)(b+c)$ and the total number of records.

The classification matrix is, shown above

The total number of records is, $30 + 58 + 32 + 920 = 1,040$

The error rate is,

$\begin{array}{c}\\{\rm{Error}}\,{\rm{rate}} = \frac{{b + c}}{{{\rm{Total}}}}\\\\ = \frac{{58 + 32}}{{1,040}}\\\\ = \frac{{90}}{{1,040}}\\\\ = 0.0865\\\end{array}$

The percentage is $0.0865 \times 100 = 8.65$

(a)

The classification error rate for the records those are truly fraudulent is obtained by taking the rate ratio of b and $\left( {a + b} \right)(a+b)$ .

The classification error rate for the records those are truly fraudulent is obtained as shown below:

The classification matrix is, shown above and in the attachment

The error rate for truly fraudulent is,

$\begin{array}{c}\\FP = \frac{b}{{a + b}}\\\\ = \frac{{58}}{{30 + 58}}\\\\ = \frac{{58}}{{88}}\\\\ = 0.6591\\\end{array}$

The percentage is, $0.6591 \times 100 = 65.91$

(b)

The classification error rate for records that are truly non-fraudulent is obtained by taking the ratio of d and $\left( {c + d} \right)(c+d)$ .

The classification error rate for records that are truly non-fraudulent is obtained as shown below:

The classification matrix is, shown in the attachment

The error rate for truly non-fraudulent is,

$\begin{array}{c}\\TP = \frac{d}{{c + d}}\\\\ = \frac{{920}}{{32 + 920}}\\\\ = \frac{{920}}{{952}}\\\\ = 0.9664\\\end{array}$

The percentage is, $0.9664 \times 100 = 96.64$

8 0

3 years ago

Question 6(Multiple Choice Worth 5 points)

blondinia [14]

6.50x + 5.25y + 15.25 <<span> 45
6.50(2)+5.25(3)+15.25<45
44<45
</span>
No because the total will be $44.

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2 years ago

1 Suppose you choose at random a real number X from the interval [2, 10]. (a) Find the density function f(x) and the probability

antoniya [11.8K]

Answer:

Step-by-step explanation:

Given that you choose at random a real number X from the interval [2, 10].

a) Since this is a contnuous interval with all number in between equally likely

E = probability for choosing a real number is U(2,10)

pdf of E is $\frac{1}{8}$

b) P(X>5) = $\int\limits^10_5 {1/8} \, dx = \frac{5}{8}$

$P(5$

For

$x^2-12x+35 >0\\(x-5)(x-7)>0\\x7$

P(X<5 or x>7) = 1-P(5<x<7)

= $\frac{3}{4}$

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3 years ago