We have to write down some values that we can see from the graph. At x=0, the value is 100. At x=1, the y-value is 150 and at x=2 the graph has a value of a little over 200. We see also that this is an exponential graph, so we might assume that there is a specific ratio from each x-value to the next. We get that this ratio is 150/100=1.5. Hence, the quantity increases by 1.5 or 150% every time we add 1 to the x-coordinate. The 2 first sentences are correct. If an amount increases by 50% after a year, at the end of the year there is 150% of it (we need to add the initial capital which is 100%). Thus the graph here has as x-axis years and as y-axis money. The same concept holds for the 2nd sentence. The 3rd sentence is wrong because the value here is not multiplied but added. This would produce a linear graph. Sentence 4 has the wrong ratio; if that was true, then at x=1 we would have 200 oranges, not 150. For the same reason option 5 is wrong; 150*100=15000, not 150.
Answer:
(b) 1
Step-by-step explanation:
To differentiate 
we will need the product rule:
.
We have 
, so the following equation is true by the transitive property:
By subtraction property we have:
Since 
, then we can divide both sides by 
:
This implies 
is constant.
So we have that 
where 
is a real number.
Since 
and 
, then by transitive property 
.
So 
.
Checking:
So the following conditions were met.
Answer:
2nd option is correct
Step-by-step explanation:
this would be using the ASA congruence theorem.
Answer:
a battery costs £0.43
Step-by-step explanation:
<u>Set up an equation</u>
11b+b+4.84=10
S<u>ubtract 4.84 from both sides</u>
12b+4.84=10
-4.84=-4.84
12b=5.16
<u>Divide 12 on both sides</u>
b=5.16/12
b=0.43
Answer: 21
Step-by-step explanation: 21 because we have to round to the nearest minute, also known as a whole number. 21.333 can be rounded to 21 since 3 is less than 5.
