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2 years ago

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Mann Corporation signed a note with principal and interest due in 6 months. The stated rate of interest on the note was 8%. If M

ann accrues three months of interest at year-end, the formula Mann will use will be: Principal x % x 3/12. (Input the number used to compute interest.)

1 answer:

Sliva [168]2 years ago

5 0

Answer:

8

Step-by-step explanation:

8% is the annual interest rate. Since, only 3 month has been passed in the year end so, interest accrue of only 3 months.

8% is the interest of 12 months. So, 8%/12 is the interest rate of 1 month. But we want 3 month of interest rate. Multiplying (8%/12)*3, we will get 3 month interest rate.

Note, that we have substituted x with 8. Because, we need interest rate of 3 month, and 8 is the interest rate of 12 months.

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If 8 is subtracted from 7 times a number the result is 34

djverab [1.8K]

7x - 8 = 34

Solving:

7x = 34 + 8
7x = 42
x = 6

Hope this helps!

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3 years ago

Consider the following information related to a set of quantitative sample data:

svlad2 [7]

Answer:

(a) There are outliers

(b) $x$ and $x >62$

Step-by-step explanation:

Given

$\sigma = 14.92$

$\bar x = 22.0$

$q_0 = -24$

$q_1 = 14.5$

$q_2 = 24.5$

$q_3 = 33.5$

$q_4 = 64$

Solving (a): Check for outliers

This is calculated using:

$Lower = Q_1 - (1.5 * IQR)$ --- lower bound of outlier

$Upper = Q_3 +(1.5 * IQR)$ --- upper bound of outlier

Where

$IQR = Q_3 - Q_1$

So, we have:

$IQR = 33.5 - 14.5$

$IQR = 19$

The lower bound of outlier becomes

$Lower = Q_1 - (1.5 * IQR)$

$Lower = 14.5 - (1.5 * 19)$

$Lower = 14.5 - 28.5$

$Lower = -14$

The upper bound of outlier becomes

$Upper = Q_3 +(1.5 * IQR)$

$Upper = 33.5 + 1.5 * 19$

$Upper = 33.5 + 28.5$

$Upper = 62$

So, we have:

$-14 \le x \le 62$ --- the range without outlier

Given that:

$q_0 = -24$ --- This represents the lowest data

$q_4 = 64$ --- This represents the highest data

-24 and 64 are out of range of $-14 \le x \le 62$ .

Hence, there are outliers

Solving (b): The outliers

The outliers are data less than the lower bound (i.e. less than -14) or greater than the upper bound (i.e. 62)

So, the outliers are:

$x$ and $x >62$

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2 years ago

emmainna [20.7K]

Let the numbers be n, n+2, n+4

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a) Equation--> n+n+2+n+4= 2n+21

b) Solution--> 3n+6= 2n+21

=> n= 15

c) Second number--> 17 (15+2)

Third number--> 19 (15+4)

d) 15+15+2+15+4=30+21

=> 51= 51

So, the equation is true.

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1 year ago

How to estimate the square root of 32

ELEN [110]

Answer:

~6.5

Step-by-step explanation:

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2 years ago