question 1 is congruent. 2 is not congruent and 3 is congruent
Answer:
7.12
Step-by-step explanation:
The formula for the effective annual yield is given as:
i = ( 1 + r/m)^m - 1
Where
i = Effective Annual yield
r = interest rate = 7% = 0.07
m= compounding frequency = semi annually = 2
i = ( 1 + 0.07/2)² - 1
i = (1 + 0.035)² - 1
= 1.035² - 1
= 1.071225 - 1
= 0.071225
Converting to percentage
0.071225 × 100
= 7.1225%
Approximately to 2 decimal places = 7.12
Therefore, the annual effective yield = 7.12
Answer:
D
Step-by-step explanation:
To find a situation for 60−15x≥7, look for a story where 60 is a constant value that is decreasing by 15 for a number of times and where equal to or at least 7 is an option.
A. x would be weeks and it would decrease by 7x. This is not it.
B. 15 songs packages would have x be the number of packages not the price. This is not it.
C. This doesn't work either because if you want to owe them less than 7 it would have the sign < not >.
D. You have 60 to spend and you decrease it by $15 for each hat you buy till you save $7. This is it.
Answer:
0.98 $/cup
Step-by-step explanation:
The final answer asks for price/cup, as "per" means "divided by".
So, our final units will be in $/cup.
We are given that for every 2 gallons, it will cost $31.36.
In order to get from gallons to cups, we need to convert units.
In 1 gallon, there are 16 cups.
So, our conversion factor will be 16 cups/1 gallon.
$/cup
Important things to note:
- With these types of problems, it makes it much easier if you just figure out what units you need in the final answer, and then use conversions and dimensional analysis to get the answer
