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4 years ago

The fact that companies can store and access emails sent or received on their equipment limits which of your rights?

Mathematics

2 answers:

Oxana [17]4 years ago

8 0

D is correct ~apex . . ......

slega [8]4 years ago

7 0

I'm pretty sure its D, because if other people can see your private information, its not unlimited at all...it is limited :) hope this helps

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What is the measure of the smallest angle in the diagram?

Hunter-Best [27]

Answer:

The measure of the smallest angle is $m\angle FLI=29^o$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

$m\angle FLI=m\angle\ FLG+m\angle GLH+m\angle HLI$ ---> by Angle Addition Postulate

substitute the given values

$106^o=(2x-1)^o+(x+17)^o+(4x-15)^o$

solve for x

$106^o=(7x+1)^o$

$7x=106-1\\7x=105\\x=15$

Find the measure of each angle

substitute the value of x

$m\angle FLI=(2(15)-1)=29^o\\m\angle GLH=(15+17)=32^o\\m\angle HLI=(4(15)-15)=45^o$

therefore

The measure of the smallest angle is $m\angle FLI$

7 0

4 years ago

Read 2 more answers

ION 1: BASIC ANNUITIES AND APPLICATIONS [20 MARKS]

DENIUS [597]

Answer:

Find the present and future value of $1000 received every month end for 20 years if the interest rate is J12 = 12%

$90,819.42

Find the present value of $10,000 received at the start of every year for 20 years if the interest rate is J1 = 12% p.a. and if the first payment of $10,000 is received at the end of 10 years.

$26,935.64

1. John is currently 25 years old. He has $10,000 saved up and wishes to deposit this into a savings account which pays him J12 = 6% p.a. He also wishes to deposit $X every month into that account so that when he retires at 55, he can withdraw $2000 every month end to support his retirement. He expects to live up till 70 years. How much should he deposit every month into his account?

$178.7644 ≈ $178.76

Step-by-step explanation:

there are two ways to solve this question:

using the formula for present value of annuity
using an annuity table

since this question is about monthly payments, I will use the annuity formula:

PV = payment x {[1 - (1 + r)⁻ⁿ]/r}

PV = 1000 x {[1 - (1 + 0.01)⁻²⁴⁰]/0.01}

r = 12% / 12 = 1%

n = 20 x 12 = 240

PV = $90,819.42

for the annuity due, we can use an annuity table since payments are annual:

payment $10,000

20 years

12% interest rate

PV annuity due = $10,000 x 8.3658 = $83,658

since the first payment is received 10 years form now, we must determine the PV = $83,658 / (1 + 0.12)¹⁰ = $26,935.64

monthly payment = total amount / discount factor

total amount = monthly payment x discount factor

monthly payment = 2,000
discount factor = D = {[(1 + r)ⁿ] - 1} / [r(1 + r)ⁿ] = D = {[(1 + 0.005)¹⁸⁰] - 1} / [0.005(1 + 0.005)¹⁸⁰] = 1.45409 / 0.01227 = 118.5032

total amount = $237,006.45

we have to divide John's account in two:

the future value of $10,000 = $10,000 x (1 + 6%)³⁰ = $57,434.91
so he needs to save an additional $237,006.45 - $57,434.91 = $179,571.54

future value of annuity = monthly payment x {[(1 + r)ⁿ - 1]/ r}

monthly payment = future value / {[(1 + r)ⁿ - 1]/ r}

future value = $179,571.54
{[(1 + r)ⁿ - 1]/ r} = {[(1 + 0.005)³⁶⁰ - 1]/ 0.005} = 1,004.515042

monthly payment = $179,571.54 / 1,004.515042 = $178.7644

4 0

3 years ago

Sue initially has 5 hours of pop music and 4 hours of classical music in her collection. Every month onwards, the hours of pop m

Snezhnost [94]

<h2>Answer</h2>

f(x) = 5(1.25)x + 4

<h2>Explanation</h2>

To solve this, we are going to use the standard exponential equation:

$f(x)=a(1+b)^x$

where

$a$ is the initial amount

$b$ is the growth rate in decimal form

$x$ is the time (in months for our case)

Since the hours of classic music remain constant, we just need to add them at the end. We know form our problem that Sue initially has 5 hours of pop, so $a=5$ ; we also know that every month onward, the hours of pop music in her collection is 25% more than what she had the previous month, so $b=\frac{25}{100} =0.25$ . Now let's replace the values in our function: