Answer:
Step-by-step explanation:
The two-way frequency table is attached below.
We have to calculate the probability of, a person chosen at random prefers pizza given that they are female, i.e 
This is a conditional probability.
We know that,
So,
From the table,
Putting the values,
In this problem the question asked is what principal should be invested on a rate of interest of 3.6% for 10 years to get the totals amount as 50000$
the formula for compound interest is
A=P*(1+R/100)^T
we shall replace the formula
50000=X*(1+3.6/100)^10
50000=x*(100/100+3.6/100)^10
50000=x*(103.6/100)^10
50000=X*(1.036)^10
50000=1.4242x
50000/1.4242=X
35107.42=X
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Answer:
I am 76 years old.
Step-by-step explanation:
If my age is x years then:
200 - 2x = 48
-2x = - 152
x = 76.
Answer:
Step-by-step explanation:
The opposite side (the one not connected to A) = 4
The hypotenuse is 5
The adjacent side needs to be found for the cosine and the tangent.
a^2 + b^2 = c^2
a = opposite side = 4
b = adjacent side = ?
c = hypotenuse = 5
4^2 + x^2 = 5^2
16 + x^2 = 25
x^2 = 25 - 16
x^2 = 9
x = sqrt(9)
x = 3
cos(A) = adjacent / hypotenuse = 3/5
Tan(A) = opposite / adjacent = 4/3
cos(A) + tan(A) = 3/5 + 4/3
cos(A) + tan(A) = 9/15 + 20/15 = 29/15
