a = 4 first term, r = ?, T10 = 100.
Tn = ar^n - 1 formula for g.p
T10 = 4r^ 10 - 1
100 = 4r^9
Divide both side by 4
100/4 = 4/4r^9
25 = r^9 take the 9th root of both side
9√25 = 9√r^9
r = 9√25
To find the nth term
Since Tn = ar^n - 1
Answer:
Blair chosen to purchase shirt from company B. Given:
Each shirt costs 3.10$
Shipping cost is 4% (0.04) of total order.
=>Total cost without shipping: 150 x 3.10 = 465$
=> Total cost with 4% of shipping: 465 + 465 x 0.04 = 483.6$
=> Total cost Blair paid for one shirt: C = 483.6/150 = 3.22$
The markup is 75% of original cost:
=> Blair can multiply the total cost for one shirt by 0.75
Blair will sell shirt with price which is equal to the sum of total cost for one shirt and markup:
=> P = 3.22 + 3.22 x 0.75 = 5.64$
Hope this helps!
:)
Answer:
Correct!
Step-by-step explanation:
You did it the correct mathematical way, where you divide 4 by 30. Some people get confused and multiply 30 and 4, so good job!
Answer:
The new volume is 8 times smaller than the original volume
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x ----> the volume of the reduced sphere
y ----> the volume of the original sphere
so
we have
----> scale factor
substitute
therefore
The new volume is 8 times smaller than the original volume
Verify
The volume of the original sphere is
---> the radius is half the diameter
the volume of the reduced sphere is
---> the radius is half the diameter
Divide the volumes
Rational..............................
