Answer:
20%
Step-by-step explanation:
We can start by finding out how much the price of the television was reduced by.
250 - 200 = 50
Now, we need to know what percent of 250 is 50? Let x represent the percent of 250 that is 50. Using this, we can set up an equation:
[tex]x\%\times 250=50[/tex]
Notice that a percentage can also be written as that number over 100.
[tex]\frac{x}{100}\times250=50[/tex]
[tex]\frac{250x}{100}=50[/tex]
Reduce the fraction (250 and 100 have a common factor of 10)
[tex]\frac{25x}{10}=50[/tex]
Reduce the fraction again (25 and 10 have a common factor of 5)
[tex]\frac{5x}{2}=50[/tex]
Multiply both sides by two
[tex]5x=100[/tex]
Divide both sides by 5
[tex]x=20[/tex]
Therefore the price of the television was reduced by 20%.
what function has a growth factor of 3
what function has an initial value of 2
what function has an initial value of 0.2
what function has an initial value of 1
what function has a decay factor of 0.2
what functions are increasing across real numbers?
what functions are decreasing across all real numbers?
Step-by-step explanation:
y = a(b^x)
a = initial value
If b > 0 and b < 1, then 1 - b is the decay factor.
If b > 1, then b is the growth factor.
what function has a growth factor of 3
Function 3
what function has an initial value of 2
Function 2
what function has an initial value of 0.2
Function 4 since 1/5 = 0.2
what function has an initial value of 1
Function 3
what function has a decay factor of 0.2
None. In Function 2, the decay factor is 1 - 1/5 = 0.8, not 0.2.
what functions are increasing across real numbers?
Functions 3, 4
what functions are decreasing across all real numbers?
Functions 1, 2
A new building in the shape of a square pyramid is to be constructed. The slant height will be five times the side length of the base. There will be between 20,000 square feet and 50,000 square feet of construction material used for the outside of the building. What would be the maximum possible side length of the base of the building? Round your answer to the nearest foot.
A.
89 feet
B.
141 feet
C.
71 feet
D.
45 feet
The maximum possible side length of the base of the building is; C: 71 feet.
How to determine the maximum side length of a Pyramid?The given parameters of the new building in the shape of a square pyramid that is to be constructed are as follows:
Base is expressed as b
Slant height (l) is expressed as 5b
The lateral surface area of the square pyramid is calculated from the formula given as;
LSA = 2bl
Thus, the lateral surface area is expressed as;
L = 2 * b * 5b
L = 10b²
The total surface area is calculated using the formula:
T = L + b²
Thus, plugging in the value of 10b² for L gives the total surface area as;
T = 10b² + b²
T = 11b²
The maximum surface area is 50,000 square feet and so we can find b from the following expression;
11b² = 50000
Divide both sides of the equation by 11 to get;
b² = 50000/11
b = √(50000/11)
b = 71 feet to the nearest foot.
Read more about Pyramid side length at; https://brainly.com/question/22744289
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