Answer:
The amount that must be deposited is $ 19973.87.
Step-by-step explanation:
We have a relation between future value present value as:
F= P 
F=future value
P=present value
r=rate (as a decimal)
n=number of compounding periods per year
t=number of years
Now,
assume rate as 8%
35000= P 
or, 35000= P × 
or, P = 
or, P = $ 19973.87
So you must deposit $ 19973.87 today.
Step-by-step explanation:
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Answer:
The length of EF = x = 18 cm
Option A is correct.
Step-by-step explanation:
Ware given perimeter of triangle = 97 cm
We need to find length of EF = x = ?
The length of EG = x+7
The length of EF = x
The length of GF = 3x
The formula used is: 
Putting values and finding x i.e length of EF

So, value of x=18 cm
The length of EF = x = 18 cm
Option A is correct.
Tan(angle) = opposite/adjacent
tan(x) = 90/51
x = arctan(90/51)
x = 60.461217740442
which rounds to 60 when rounding to the nearest whole number
Answer: 60