Answer:
No
Step-by-step explanation:
In this particular scenario, based on the numbers I would say that it does not make sense to represent this with a constant rate. That is because in a span of three years the change between each year is completely different, for example, between the first and second year there was a change of
9.75 - 8.50 = 1.25 dollar change
1.25 / 8.50 = 0.147 or a 14.7% increase
Between the second and third year, there was a change of
12 - 9.75 = 2.25 dollar change
2.25 / 9.75 = 0.23 or 23% increase
Therefore, each year the percent and dollar value increase is increasing more and more which would not be a constant rate.
Answer:
75%
Step-by-step explanation:
3/12 =1/4
so 1/4 of 100% = 75%
Answer:
11/850 or about 1.29%.
Step-by-step explanation:
Prob ( first drawn = heart) = 13/52 = 1/4.
Prob ( second drawn = heart) = 12/51 = 4/17.
Prob ( third drawn = heart) = 11/50.
Required probability = 1/4 * 4/17 * 11/50
= 11/850.
In order to know at what price the two services offered would be the same, we can actually use the process of trial and error starting from 1 onwards. The first one is 50.45 per month plus a standard fee of 60 for installation. So this will be 60+50.45x (number of days). After that. there is the other one that has free installation but charges 57.95. So it can be expressed as 57.95x. Now after trial and error with numbers as x, I came upon 8. If x is 8, then the first one will be 60+50.45 (8) = 463.6. For the second, 57.95(8) will also equal to 463.6. So the day in which the two services will charge the same is during the 8th day.
Given:
The value is 
.
To find:
The values from the given options which are equal to the given value.
Solution:
We have,
It can be written as:
From the standard trigonometric table, we get
From the above values it is clear that the value of 
and 
are equal to 
.
Therefore, and and equal to . So, options B and C are correct.
