$500 principal earning 4% compounded quarterly, after 6 years.
1 answer:
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Answer: 4(2x²+9) or
Step-by-step explanation:
To solve the equation by factoring, we want to set the equation to zero. In order to have the equation equal to zero, we want to add both sides by 36.
8x²=-36 [add both sides by 36]
8x²+36=0
When it comes to factoring, we want to pull out numbers or variables that are common in each term.
8x²+36=0 [take out a 4 in each term]
4(2x²+9)=0
It may seem that 2x²+9 can be factored further, it actually can't. This tells us that the factored form of the equation is 4(2x²+9)=0.
To solve the equation, we want to find the value of x. We already know the graph does not cross the x-axis because the y-intercept or vertex is (0,9).
4(2x²+9)=0 [divide both sides by 4]
2x²+9=0 [subtract both sides by 9]
2x²=-9 [divide both sides by 2]
x²=-9/2 [square root both sides]
or
Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.
I've added the image of the ticket as an attachment.
(a) The missing side length
From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.
So, we have:
This gives
Collect like terms
Divide both sides by 4
(b) The length of the gold lines
There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).
So, the length of the gold line is:
(c) The number of gold ink bottles.
--- number of tickets
The length of all gold line in the 200 tickets is:
---- convert to meters
Given that:
--- 1 bottle for 20 m
The number of bottles (n) is:
Hence, 2 bottles of gold ink are enough.
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