Answer:
$20.40
Step-by-step explanation:
First of all we find the value of 10%, so we do 24 ÷ 10 which equals to 2.4, then we find the halved value of 2.4, so we do 2.4 ÷ 2 which equals to 1.2. Then we add 2.4 and 1.2 together, which then gives us 3.6 as the number. We then subtract 3.6 from 24 which gives us 20.4, but we need in money terms so we change it to $20.40. Hope this helps.
Answer:
Find the volume of the sphere.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.
The radius is 1
Volume = 
or 4.19
Step-by-step explanation:
Given
Radius, r = 1
Required
Find the volume of sphere
Volume of a sphere is calculated using the following formula
Where V = Volume and r = radius
By Substitution,
Solving further to get the numerical value of volume;
We have to substitute 3.14 for π
V = 4.19 to the nearest hundredth
6 - p....p = 1.5
6 - 1.5 = 4.5
TRUE...because when u sub in 1.5 for p, the difference is 4.5, which is less then 5.
(30)(420) = 12000 - 600
12600 = 11400...incorrect
FALSE...because the product of 30 and 420 does not equal 600 less then 12000
16.3 + 11.9 < 27
28.2 < 27..incorrect
FALSE...because the sum of 16.3 and 11.9 is greater then 27
Answer:
5256 orbits
Step-by-step explanation:
There are 8760 hours in a year, and at a rate of 0.6 orbits per hour you can find how many orbits there are per year by multiplying the rate and time like this
8760 x 0.6
This gives us an answer of 5256 which is the number of orbits per year
Answer: y = -14/9(x + 4)^2 + 7
Step-by-step explanation:
The given roots of the quadratic function is (-1, -7)
The vertex is at (-4, 7)
The formula is
y = a(x - h)^2 + k
The vertex is (h, k)
Comparing with the given vertex, (-4, 7), h = -4 and k = 7
Substituting into the formula
y = a(x - h)^2 + k, it becomes
y = a(x - - 4)^2 + 7
y = a(x + 4)^2 + 7
From the roots given (-1, -7)
x = -1 and y = -7
Substituting x = -1 and y = -7 into the equation,
y = a(x + 4)^2 + 7, it becomes
-7 = a(-1+4)^2 + 7
-7 = a(3^2 ) + 7
- 7 = 9a + 7
-7-7 = 9a
9a = -14
a = -14/9
Substituting a = - 14/9 into the equation, it becomes
y = -14/9(x + 4)^2 + 7
