Answer:
V = 2143.57
Step-by-step explanation:
To find the volume of a sphere you need to use this formula:
r = radius
Solve:
You need the radius from the diameter. Divide 16/2 which is
8.
V = 2143.57
Answer:
Step-by-step explanation:
<u><em>Blue Car:</em></u> (31 1/2 miles)/(1 1/4 gallons)
(63/2) miles / (5/4) gallons
(63/2)*(4/5) = <u>25.2 miles/gallon.</u>
<u><em>Red Car:</em></u> (27 1/5 miles)/(4/5 gallon)
= <u>34 miles/gallon.</u>
The Red Car will travel the furthest.
Answer:
$1136.60
Step-by-step explanation:
The formula for exponential growth is f(x) = a(1 + r)^x where a is the initial value, r is the growth rate, and x is the number of time intervals.
We know that Mr. Paris starts with an $1800 initial value, so we can substitute that into the equation:
f(x)=1800(1 + r)^x
We also know the time intervals is 6 months. So that can be substituted as well:
f(x)=1800(1 + r)^6
They told you that the growth rate is 8.5%, which is 0.085 of 1.
f(x)=1800(1 + 0.085)^6
Add the 2 values in the parentheses and you get 1.085
f(x)=1800(1.085)^6
Now solve.
Order of operations requires you to raise 1.085 to the 6th power before multiplying by 1800. So then you have this:
1800(1.63146751) = 2936.64152. That rounds to 2936.60
So $2936.60 is the total amount of money in the bank account, but were looking for the interest earned, which is the difference between the end value and the initial value.
$2936.60 - $1800 = $1136.60
Answer:
x = 3/2 | y = -3
Step-by-step explanation:
Given equations:
- y = 2x - 6. . . .(i)
- y = -4x + 3. . . . (ii)
Substituting from equation (i) for y:
==> 2x - 6 = -4x + 3
==> 2x + 4x = 6 + 3
==> 6x = 9
<em>dividing both </em><em>sides by 3</em><em>:</em>
==> 2x = 3
==> x = 3/2
Substituting 3/2 for x in equation (i):
==> y = 2(3/2) - 6
==> y = 3 - 6
==> y = -3
The answer is
Each roll has a 0.333 probability of being composite.
<em>(I just took the test,
B was the answer)</em>
