Remember that a conditional statement (
p→q) is an if-then in which the first part,
p, is the hypothesis and the second part,
q, is the conclusion.
1. Here the set
m<span>
∠A=40° is a subset of the set
Acute Angles, so </span>
m∠A=40° is the hypothesis and
Acute Angles is the conclusion.
In other words:
m∠A=40°→∠A is an Acute Angle
if m∠A=40°,
then ∠A is an Acute Angle
We can conclude that the conditional statement that describes the Venn diagram is:
if m∠A=40°, then ∠A is an Acute Angle2. Just like before, the set
is a subset of the set
; therefore,
is the hypothesis and
is the conclusion.
In other words:
→
if ,
then We can conclude that the conditional statement that describes the Venn diagram is:
if ,
then
Answer:
30 minutes to 40 minutes.
Step-by-step explanation:
From the graph attached,
Distance of Sabrina from her home has been given on y-axis and time taken is on x-axis.
Sabrina's walked 2 miles to reach the library in the duration = 30 - 0
= 30 minutes
She stayed at the library from 30 minutes to 40 minutes (Represented by the straight horizontal line).
Then the third segment represents the journey of Sabrina from library to home.
Therefore, Sabrina was at the library between 30 minutes to 40 minutes.
Given that Megan's tax rates were as follows:
<span>No tax one the first £11000 of earnings
</span><span>Earnings in excess of £11000 and up to £43000 taxed at a rate of 20%
</span><span>Earning in excess of 43000 and up to £150000 taxed at a rate of 40%
</span>Earnings over £150000 taxed at a rate of 45%
If Megan earned £158900 before tax last year, the amount of tax she paid in total is given as follows:
First <span>£11000 = </span><span>£0 tax
</span>Balance after first <span>£11000 = </span><span>£158900 - </span><span>£11000 = </span><span>£147900
</span>
Next (<span>£43000 - </span><span>£11000 = </span><span>£32000) = 20% of </span><span>£32000 = 0.2 x </span><span>£32000 = </span>£6400 tax
Balance after next <span>£32000 = </span><span>£147900 - </span><span>£32000 = </span><span><span>£115000</span> </span>
Next (<span>£150000 - </span><span>£43000 = </span><span>£107000) = 40% of </span><span>£107000 = 0.4 x </span><span>£107000 = </span><span>£42800 tax</span>
Balance after next <span>£107000 = </span><span>£115000 - </span><span>£107000 = </span><span>£8000</span>
Remaiming <span>£8000 = 45% of </span><span>£8000 = 0.45 x </span><span>£8000 = </span><span>£3600 tax</span>
Total tax = <span>£6400 + </span><span>£42800 + </span><span>£3600 = </span><span>£52800
Therefore, she paid a total of </span><span>£52800 in tax last year.</span>
Answer:
$4,500
Step-by-step explanation:
For simple interest,
I = prt,
where
I = interest
p = principal
r = annual interest rate
t = number of years
We have p = $5,000, r = 9% = 0.09; t = 1 year
I = $5,000 × 0.09 × 1
I = $450
A viable argument showing how it is reflected by the Cost Function for Wichita’s factory is; The cost of production per unit of item produced is 1$ as long as total units produced is less than 2500. If more than 2500 units are produced than the cost per unit actually comes down to 0.8$per unit.
<h3>How to Interpret Cost Functions?</h3>
From the given options, the best statement is;
The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.
A cost function is a formula used to predict the cost that will be experienced at a certain activity level. Thus, the cost function for the best option is;
The cost of production per unit of item produced is 1$ as long as total units produced is less than 2500. If more than 2500 units are produced than the cost per unit actually comes down to 0.8$per unit.
The missing options are;
___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.
___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.
___ Overtime wages were required to produce at levels above 25,000 units.
Read more about Cost Functions at; brainly.com/question/14038368
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