Ben Spender writes a $60 check which is retumed by his bank with additional charges. The company he wrote the
2 answers:
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The amount of each of the 6 payments will be $41.50
Step-by-step explanation:
Given,
Cost of bike including taxes = $349
Down payment = $100
Amount left to pay = Cost of bike - Down payment
Amount left to pay = 349 - 100
Amount left to pay = $249
She agrees to pay in 6 equal payments, therefore, we will divide the total amount to pay by 6.
Amount to pay for one month =
Amount to pay for one month =
The amount of each of the 6 payments will be $41.50
Keywords: division, subtraction
Learn more about subtraction at:
#LearnwithBrainly
Answer:
The distance the fish pulled the fishing line is <u>401.92 cm.</u>
Step-by-step explanation:
Given:
Radius of fishing spool = 4 cm.
Fish pulled on the line, and the spool spun 16 times before Bilal began to reel in the fish.
Now, to find the distance the fish pulled the fishing line.
So, to get the circumference of the spool first we put formula:
Radius(r) = 4 cm.
Value of π = 3.14.
<em>As given, fish pulled on the line, and the spool spun 16 times before Bilal began to reel in the fish.</em>
Now, to get the distance the fish pulled the fishing line, we multiply 16 with the circumference:
Therefore, the distance the fish pulled the fishing line is 401.92 cm.
Answer:
Maximum Area of the basketball court = 1250 ft²
Maximum area of the playground = 400 ft²
The basketball is 3.125 times larger than than the playground.
Step-by-step explanation:
The diagram representing the description is attached to this solution.
The big rectangle represents the basketball court.
The small rectangle represents the playground.
Let the length and width of the basketball court be y and x respectively.
The length and width of the small playground will be (y-30) and (x-5) respectively
The Area of the basketball court is
A(x, y) = xy
But, 2x + y = 100
We can maximize the Area by turning the two variable function into a one variable function and substituting for y in the Area equation.
2x + y = 100
y = 100 - 2x
A(x, y) = xy
A(x) = x(100 - 2x) = 100x - 2x²
A(x) = 100x - 2x²
At maximum point, (dA/dx) = 0 and (d²A/dx²) < 0, that is, negative.
(dA/dx) = 100 - 4x = 0
(d²A/dx²) = -4 < 0
Hence, it's a maximum point.
At maximum point,
(dA/dx) = 100 - 4x = 0
100 - 4x = 0
4x = 100
x = 25 ft
y = 100 - 2x = 100 - 2(25) = 100 - 50 = 50 ft
Hence, the length and width of the basketball court that maximizes the Area are 50 ft and 25 ft respectively.
For the small playground,
The length = (y - 30) = (50 - 30) = 20 ft
The width = (x - 5) = (25 - 5) = 20 ft
Maximum Area of the basketball court = xy = (50)(25) = 1250 ft²
Maximum area of the playground = (y-30)(x-5) = (20)(20) = 400 ft²
Ratio of the Areas = (1250/400) = 3.125
The basketball is 3.125 times larger than than the playground
Hope this Helps!!!
