^^^ 30 points I need help with this problem!

All i need is K)<br> Please help me i need the answer

ycow [4]

K) 43.96 - To

Forgot that one

6 0

3 years ago

Read 2 more answers

AB and BC form a right angle at point B if A = (-3,-1) and B = (4,4) what is the equation if BC

sergejj [24]

Answer:

$7x+5y-48=0$

Step-by-step explanation:

Refer the attached figure .

We are given a line AB

Point A $=(x_1,y_1) = (-3,-1)$

Point B $=(x_2,y_2) = (4,4)$

Formula for slope 'm' when two points are given :

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting thew values

$m=\frac{4-(-1)}{4-(-3)}$

$m=\frac{5}{7}$

Since we are given that AB is perpendicular to BC

So, By property - perpendicular slopes are negative reciprocals of each other.

$\Rightarrow m_1\times m_2 =-1$

$\Rightarrow \frac{5}{7}\times m_2 =-1$

$\Rightarrow m_2 = \frac{-7}{5}$

So, Slope for line BC : $m_2 = \frac{-7}{5}$

Point B = (4,4)

Formula of equation of line : $y-y_1=m(x-x_1)$

$y-4=\frac{-7}{5}(x-4)$

$5(y-4)=-7(x-4)$

$5y-20=-7x+28$

$7x+5y-20-28=0$

$7x+5y-48=0$

Hence the equation of line BC : $7x+5y-48=0$

5 0

3 years ago

Ashley deposits $10 000 at the end of each month for 6 times at rate of 5% compounded monthly. How much will be in her account

xz_007 [3.2K]

The future values of Ashley's periodic deposits under the five scenarios are stated in the deposit table as follows:

<h3>Deposit Table:</h3>

Item Initial Periodic Deposit Interest Future Value Interest

Deposit Deposit Period Rate ($)

a. $10,000 $10,000 6 months 5% $61,774.51 $1,774.51

b. $10,000 $10,000 3 months 5% $30,502.78 $502.78

c. $10,000 $10,000 6 months 5% $51,774.51 $1,522.42

d. $20,000 $10,000 6 months 5% $72,201.71 $2,201.71

e. $10,000 $10,000 6 months 5%/6% $60,803.78 $803.78

<h3>What is the future value?</h3>

The future value of a periodic investment represents the present value of cash flows compounded at an interest rate into the future.

The future value is computed using the FV formula or factor.

It can also be computed using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

Periodic Deposit = $10,000

Investment period = 6 months

Interest rate = 5% compounded monthly

<h3>a) for illustration:</h3>

N (# of periods) = 6 months

I/Y (Interest per year) = 5%

PV (Present Value) = $0

PMT (Periodic Payment) = $10,000

<u>Results</u>:

FV = $61,774.51

Sum of all periodic payments = $60,000 ($10,000 x 6)

Total Interest = $1,774.51

<h3>Other Special Cases:</h3>

c) Interest on $10,000 for 3 months is $1,522.42 ($1,774.51 - $252.09).

d) Future Value Interest

5% with $20,000 $82,285.04 $2,285.04

5% with $10,000 (10,083.33) (83.33)

Total for 6 months $72,201.71 $2,201.71

e) Future Value Interest

5% for 3 months $30,502.78 $502.78

6% for 3 months $30,301.00 $301.00

Total for 6 months $60,803.78 $803.78

Learn more about the computation of future values at brainly.com/question/24703884 and brainly.com/question/12979998

#SPJ1

4 0

2 years ago

Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.

ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m= $\frac{-1}{4}$

Step-by-step explanation:

Step1:-

<u>Slope of a line</u><u> :-</u>

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m= $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

<u>Parallel lines:-</u>

<u>Two </u>non-vertical lines are parallel if and only if their slopes are parallel

<u>Perpendicular lines:-</u>

<u>Two </u>non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

<u>Step 2</u>:-

a)The slope of a line when given two points (-1,-4) and (0,0)

$m = \frac{0-(-4)}{0-(-1)} =4$

<u>Two </u>non-vertical lines are parallel if and only if their slopes are parallel

$m_{1} = m_{2}$

Therefore the slope of the line that is parallel to the another line

$m_{1} =m_{2} =4$

<u>Step 3</u>:-

b) <u>Two </u>non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

$m_{2} =\frac{-1}{4}$

Therefore the slope of the line is perpendicular to the another line is

$m=\frac{-1}{4}$

3 0

3 years ago

Read 2 more answers

Solve for b. ab+c=d<br> B=a+c/d<br> B=a/(c-d)<br> B=(d-c)/a

vekshin1

Answer:

b = (d-c)/a

Step-by-step explanation:

ab+c=d

Subtract c from each side

ab+c-c=d-c

ab = d-c

Divide by a

ab/a = (d-c)/a

b = (d-c)/a

3 0

3 years ago