Answer:
Jogging 6th time.
Step-by-step explanation:
We have been given that Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16 mile.
We can see that the distance Vicki covers each time forms a arithmetic sequence, where 1st term is 3/16.
We know that an arithmetic sequence is in form 
, where,
= nth term of sequence,
= 1st term of sequence,
n = Number of terms in sequence,
d = Common difference.
Let us find common difference of our given sequence as:
Since Vicki needs to cover more than 1 mile, so we nth term of sequence should be greater than 1.
Let us solve for n.
We can also write next terms of our sequence as:
Therefore, Vicki will run more than 1 mile when she is jogging for 6th time.
X/2+1/3=x/3+1/2
x/2=x/3+1/2-1/3
x/2 - x/3 = 3/6 - 2/6
x/2 - x/3 = 1/6
3x/6 - 2x/6 = 1/6
x/6 = 1/6
x = 1/6 * 6
x = 1
Answer:
Step-by-step explanation:
10000*7%= $700.00
2500-700=1800
1800 is 10% of 18,000
So 18,000 +10,000 = 28,000 in sales is needed to get $2,500 in commission.
Finding the vertex of the parabola
<span>y = (x + 5)^2 + 8 the vertex is at (-5, 8)
its coefficient so the parabola turns upward so the range is [8 , inf]</span>
Answer:
Step-by-step explanation:
<u>Formula for circumference of a circle is</u>:
Circumference = 
<em>Given circumference of the ring is 
</em>
<em>Now solving for the radius gives us:</em>
We know that area of a circle is 
, substituting the value of r we found, we get the area as:
area (A) = 
Hence the Area (A), in terms of 
is 
