Answer:
whats the q
Step-by-step explanation:
<h2>
Answer:</h2>
<em><u>(B). </u></em>
<h2>
Step-by-step explanation:</h2>
In the question,
Let the total number of geese be = 100x
Number of Male geese = 30% = 30x
Number of Female Geese = 70x
Let us say 'kx' geese migrated from these geese.
Number of migrated Male geese = 20% of kx = kx/5
Number of migrated Female geese = 4kx/5
So,
<u>Migration rate of Male geese</u> is given by,
<u>Migration rate of Female geese</u> is given by,
So,
The ratio of Migration rate of Male geese to that of Female geese is given by,
![\frac{\left[\frac{(\frac{kx}{5})}{30x}\right]}{\left[\frac{(\frac{4kx}{5})}{70x}\right]}=\frac{350}{4\times 150}=\frac{7}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%5B%5Cfrac%7B%28%5Cfrac%7Bkx%7D%7B5%7D%29%7D%7B30x%7D%5Cright%5D%7D%7B%5Cleft%5B%5Cfrac%7B%28%5Cfrac%7B4kx%7D%7B5%7D%29%7D%7B70x%7D%5Cright%5D%7D%3D%5Cfrac%7B350%7D%7B4%5Ctimes%20150%7D%3D%5Cfrac%7B7%7D%7B12%7D)
Therefore, the<em><u> ratio of the rate of migration of Male geese to that of Female geese is,</u></em>
<em><u>Hence, the correct option is (B).</u></em>
<em><u></u></em>
Answer:
C
Step-by-step explanation:
Based on the information, Christian would have $5525.5 of an annuity.
<h3>How to calculate the annuity?</h3>
According to the given information, the number of coffees per week is 3 then, per month is 3x4 = 12
Each coffee is $4.5. Then monthly expenditure for coffees is 12 x 4.5 = $54
Rate of interest r = 1.6% = 1.6/100 = 0.016 and for monthly compounding r = 0.016/12 = 0.00133
n = number of payments = 8 x 12 = 96
We can use the formula for finding the future value as below
FV = C x [ ( 1 + r )n-1 ] / ( r )
FV = 54 x [ ( 1 + 0.00133 )96 – 1 ] / (0.00133)
= 54 x [ (1.13609 - 1)] / (0.00133)
= 54 x 0.13609 / (0.00133)
= 54 x 102.3233
= 5525.5
Therefore Christian would have $5525.5 of the annuity.
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