Write the mixed number or fraction as a decimal.
2 answers:
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Answer:
The sum is 493.4
Step-by-step explanation:
In order to find the value of the sum, you have to apply the geometric series formula, which is:
where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.
The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.
In this case:
a=40
b= 1.005
n=12 (because the first term is 40 and the last term is 40(1.005)^11 )
Replacing in the formula:
Solving it:
The sum is 493.4
Answer:
14, 48, 50
Step-by-step explanation:
To check which set of side length can be used to form a right triangle we use pythagorean theorem
c^2 = a^2 + b^2
biggest side (hypotenuse is c^2)
(a) 14, 48, 50
2500= 196+2304
2500= 2500 that is true
(b) 30, 40, 60
3600= 900+ 1600
3600= 2500 that is false
(c) 14, 50, 60
3600= 196+2500
2500= 2196 that is false
(d) 10, 24,28
784=100+576
784=676 that is false