We are asked in the problem to determine the value of x in the equation <span>4x² + 2x = 7 using completing the square method. in this case,
</span><span>4x² + 2x = 7
x2 + 0.5 = 1.75
(x + 0.25)^2 - 0.0625 = 1.75
</span>(x + 0.25)^2 = 1.8125
<span>x+0.25=1.3462
</span>x1 =1.0963
x2 =-1.5962
Answer:
$40.4
Step-by-step explanation:
The regular price of the fishing rod is $97
There is a 60% discount from that price.
The discount is equal to 60% of $97 which is equal to .60 * $97 which is equal to $58.2
Discount is like a markdown, so subtract $58.2 from the price of the item before the change to get $97 - $58.2 = $38.8
This is the price of the item before tax is applied.
Now you apply the sales tax of 4%.
4% of $38.8 is equal to .04 * $38.8 which is equal to $1.552
Tax is like a markup, so add $1.552 to the price of the item before tax was applied to get a selling price of $38.8 + $1.552 which is equal to $40.352
Round it up and the answer is $40.4
Answer:
In 1981, the Australian humpback whale population was 350
Po = Initial population = 350
rate of increase = 14% annually
P(t) = Po*(1.14)^t
P(t) = 350*(1.14)^t
Where
t = number of years that have passed since 1981
Year 2000
2000 - 1981 = 19 years
P(19) = 350*(1.14)^19
P(19) = 350*12.055
P(19) = 4219.49
P(19) ≈ 4219
Year 2018
2018 - 1981 = 37 years
P(37) = 350*(1.14)^37
P(37) = 350*127.4909
P(37) = 44621.84
P(37) ≈ 44622
There would be about 44622 humpback whales in the year 2018
To find the simpliest form of a fraction, all you need to do is divide the numerator and denominator by their greatest common factor, in which in this case, is 2. And so all you need to do is divide the numerator(42) and the denominator(50) by 2, to get 21/25. This means that the simpliest form of 42/50 is 21/25.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
One time fee = $30
Reduced price of ticket after one time fee payment = $17
Regular ticket cost = $25
Write an inequality that can be used to determine the number of reduced price concert tickets you would need to purchase in order for the total cost to be less expensive than the same number of regular tickets
Let the number of tickets needed to purchase = t
Reduced ticket = 30 + 17t
Regular ticket = 25t
30 + 17t < 25t
30 < 25t - 17t
30 < 8t
30/8 < 8t/8
3.75 < t
t > 3.75
Hence number of ticket must be greater than 3.75
t = 4
