Answer:
a(n)=60-30n
Step-by-step explanation:
Equation to use:
a(n) = a(1) + d(n-1)
where a(1) is the first term, d is the common difference between terms, and n is the nth term you are trying to find.
In this case, a(1) is 30, d is -30, and n is just n.
If you plug that into the equation and use the distributive property, you would get: a(n) = 30 -30n + 30.
Adding the two 30's gets you: a(n) = 60 - 30n, which is the solution.
Answer:
(4,-1)
Step-by-step explanation:
Answer:
x=40
Step-by-step explanation:
The sum of the angles of a triangle add to 180
x+102+38 = 180
Combine like terms
x + 140 = 180
Subtract 140 from each side
x+140-140 = 180-140
x = 40
Answer: 1,833,615
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form)
t= years
A = population after t years
Replacing with the values given:
A = 800,000 (1+ 5/100)^17
A = 1,833,615
Feel free to ask for more if needed or if you did not understand something.
Answer:
Step-by-step explanation:
Area of the figure = Area of the arc with radius 10 yd and central angle 90° + Area of rectangle with dimensions (10 + 5 - 3 = 12) 12 yd and (7 + 6 - 4 = 9) 9 yd + Area of square with dimension 4yd + Area of rectangle with dimensions 3 yd by 2 yd + Area of triangle with base 3 yd and height (5 + 3 = 8) 8 yd.
