Answer:
See below
Step-by-step explanation:
the common ratio, r <1 so it CONVERGES (r = 1/2 in this series)
sum = a1 ( 1-r^n) / (1-r) = 1000(1-.5^10)/(1-1/2) = ~1998
for n= 30 this results in ~~2000
As it continues, the terms get smaller and smaller and the SUM converges on 2000.
Answer:
she spent $1782
Step-by-step explanation:
first we have to find out her total money then minus 990
to get that 990 /5 then multipliedby 6 is 1188
1188 over 3 then times by 7 is 2772
2772 is the total amount of money she had. minus what she had left which is 990 she has spent 1782 dollars
Answer:
∠ 4 = 130°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 4 is an exterior angle of the triangle , so
∠ 4 = ∠ 1 + ∠ 2 ( substitute values )
11x + 9 = 6x + 6 + 4x + 14 , that is
11x + 9 = 10x + 20 ( subtract 10x from both sides )
x + 9 = 20 ( subtract 9 from both sides )
x = 11
Then
∠ 4 = 11x + 9 = 11(11) + 9 = 121 + 9 = 130°
your friend may have only calculated ∠ 1
∠ 1 = 6x + 6 = 6(11) + 6 = 66 + 6 = 72°
A, c, and d
plug in each x in the equation and it should equal the y value
The total price before tax is $(38.75 +41.10) =79.85 and after tax the purchase price is 79.85 x 9.5% = $7.59 + $79.85= $87.44
