Answer:
The graph I expect to have a negative correlation is the third graph.
Step-by-step explanation:
Positive correlation is when the the x-values increase with a corresponding increase in y-values.
Negative correlation is when the x-values increases with a corresponding decrease in y-values.
No correlation is when only x or y variable changes.
From the graphs given the only one that has a negative correlation is the third graph.
33.51 X 85% (0.85) = 28.48
Answer:
C.
$5,509.50
Step-by-step explanation:
The computation of the estimated total tax due in case of taxable income for $43,500 is shown below:
Since in the question the income brackets and based on the income the different tax is to be charged
For $9,525, the 10% tax is charged i.e

= $952.50
Upto $38,700, the 12% tax is charged i.e

= $3,500.88
The remaining amount left is

= $1,055.78
Now the total tax due is
= $952.50 + $3,500.88 + $1,055.78
= $5,509.16 approx i.e $5,509.50
We have been given that you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each bounce. We are asked to find the total distance traveled by up and down from the time it was dropped from the window until the 25th bounce.
We will use sum of geometric sequence formula to solve our given problem.
, where,
a = First term of sequence,
r = Common ratio,
n = Number of terms.
For our given problem
,
and
.





Therefore, the ball will travel 100 meters and option B is the correct choice.
Answer:
a: 3
b. 6973568802
Step-by-step explanation:
a₁ = 6 , r = 3 , a₂₀ =?
Result:
a₂₀ = 6973568802
Explanation:
To find a₂₀ we use the formula
aₙ = a₁ · r
^ⁿ⁻¹
In this example we have a₁ = 6 , r = 3 , n = 20. After substituting these values to above
formula, we obtain:
aₙ = a₁ · r
^ⁿ⁻¹
a₂₀ = 6 · 3
^²⁰⁻¹
a₂₀ = 6 · 1162261467
a₂₀ = 6973568802