Answer:
Step-by-step explanation:
To write Five times the sum of a number and one you first make "a number" into a variable. In this case let's call it
n
.
Next let's create the sum of a number and one. This would be:
n
+
1
.
Then to get five times this number we need to multiple this expression by five to get:
5
⋅
(
n
+
1
)
Answer:
x=3⋅± 2
=±4.2426
x=0
Step-by-step explanation:
Answer:
The bottle of perfume A contains more glass
Step-by-step explanation:
we know that
The surface area of the square pyramid is equal to the area of the square base plus the area of its four triangular faces
step 1
Find the surface area of Perfume A
![SA=3^{2} +4[\frac{1}{2}(3)(2.5)]=24\ in^{2}](https://tex.z-dn.net/?f=SA%3D3%5E%7B2%7D%20%2B4%5B%5Cfrac%7B1%7D%7B2%7D%283%29%282.5%29%5D%3D24%5C%20in%5E%7B2%7D)
step 2
Find the surface area of Perfume B
![SA=2.5^{2} +4[\frac{1}{2}(2.5)(3)]=21.25\ in^{2}](https://tex.z-dn.net/?f=SA%3D2.5%5E%7B2%7D%20%2B4%5B%5Cfrac%7B1%7D%7B2%7D%282.5%29%283%29%5D%3D21.25%5C%20in%5E%7B2%7D)
step 3
Compare the surface areas
![24\ in^{2}>21.25\ in^{2}](https://tex.z-dn.net/?f=24%5C%20in%5E%7B2%7D%3E21.25%5C%20in%5E%7B2%7D)
therefore
The bottle of perfume A contains more glass
Answer:
Future Value= $5,886.13
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $5,425
Number of periods (n)= 1 year
Interest rate (i)= 8.5% = 0.085
<u>To calculate the future value after one year, we need to use the following formula:</u>
<u></u>
FV= PV*(1+i)^n
FV= 5,425*(1.085^1)
FV= $5,886.13
Answer:
![b=-3](https://tex.z-dn.net/?f=b%3D-3)
Step-by-step explanation:
The given function is
.
When we compare to
, we have
and c=10
The equation of the axis of symmetry of a vertical parabola is:
![x=-\frac{b}{2a}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7Bb%7D%7B2a%7D)
Also from the question the axis of symmetry is x=6
We substitute the values to get:
![6=-\frac{b}{2*\frac{1}{4}}](https://tex.z-dn.net/?f=6%3D-%5Cfrac%7Bb%7D%7B2%2A%5Cfrac%7B1%7D%7B4%7D%7D)
![6=-\frac{b}{\frac{1}{2}}](https://tex.z-dn.net/?f=6%3D-%5Cfrac%7Bb%7D%7B%5Cfrac%7B1%7D%7B2%7D%7D)
![b=-\frac{1}{2}*6](https://tex.z-dn.net/?f=b%3D-%5Cfrac%7B1%7D%7B2%7D%2A6)
![b=-3](https://tex.z-dn.net/?f=b%3D-3)