<em>Answer:</em>
<em />
<em>C.) $6,584.91</em>
<em></em>
<em>Step-by-step explanation:</em>
<em />
<em>Amount earned in compound interest = P(1 + r)^n; </em>
<em>where P is the principal, </em>
<em>r is the rate and n is the number of periods.</em>
<em />
<em>
</em>
<em>Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = </em><u><em>$6,584.91</em></u>
The maximum number of visits for a member of science museum is 36.
Step-by-step explanation:
Given,
Membership fee = $8
Per visit fee = $1
Total cost = $44
Let,
x be the number of visits
y be the total cost
Total cost = per visit fee*number of visits + membership fee
y = x+8

The maximum number of visits for a member of science museum is 36.
Keywords: variable, addition
Learn more about variables at:
#LearnwithBrainly
If <em>x</em> + 1 is a factor of <em>p(x)</em> = <em>x</em>³ + <em>k</em> <em>x</em>² + <em>x</em> + 6, then by the remainder theorem, we have
<em>p</em> (-1) = (-1)³ + <em>k</em> (-1)² + (-1) + 6 = 0 → <em>k</em> = -4
So we have
<em>p(x)</em> = <em>x</em>³ - 4<em>x</em>² + <em>x</em> + 6
Dividing <em>p(x)</em> by <em>x</em> + 1 (using whatever method you prefer) gives
<em>p(x)</em> / (<em>x</em> + 1) = <em>x</em>² - 5<em>x</em> + 6
Synthetic division, for instance, might go like this:
-1 | 1 -4 1 6
... | -1 5 -6
----------------------------
... | 1 -5 6 0
Next, we have
<em>x</em>² - 5<em>x</em> + 6 = (<em>x</em> - 3) (<em>x</em> - 2)
so that, in addition to <em>x</em> = -1, the other two zeros of <em>p(x)</em> are <em>x</em> = 3 and <em>x</em> = 2
The answer is m= -13
because 32-45=-13
Answer:
clay sphere gives more clay for less money
Step-by-step explanation:
Volume of cone=1/3πr^2h
=1/3*3.14*(9^2)*12
=1/3*3.14*81*12
=3,052.08/3
=1017.36 inches^3
Volume of a cyclinder=πr^2h
=3.14*(9^2)*12
=3.14*81*12
=3,052.08 inches^3
Volume of a sphere=4/3πr^3
=4/3*3.14*(9^3)
=4/3*3.14*(9^3)
=4/3*3.14*729
=9,156.24 / 3
=3,052.08 inches^3
Clay cone=$12
Clay cyclinder=$30
Clay sphere=$28
Which is the best to buy
Comparing volume
Volume of sphere=3,052.08 inches^3
Volume of cyclinder=3,052.08 inches^3
Volume of cone=1017.36 inches^3
Sphere and cyclinder both have the same volume which is 3 times more than volume of a cone
Clay sphere cost $28 which is cheaper than clay cyclinder at the same volume.
Therefore, clay sphere gives more clay for less money