Answer:
The college student can spend $15.00 in December.
Step-by-step explanation:
This can be calculated as follows:
Let y represents the amount to spend in December.
The can now us the formula for calculating a mean is as follows:
Mean = Sum of montlhy spending / Number of months ...... (1)
From the question, we have:
Mean = $50
Sum of monthly spending = $100 + $25 + $80 + $30 + y = $235 + y
Number of months = 5
Substituting the values into equation (1) and solve for y, we have:
$50 = ($235 + y) / 5
$50 * 5 = $235 + y
$250 = $235 + y
$250 - $235 = y
$15.00 = y
Therefore, the college student can spend $15.00 in December.
To achieve a mean expenditure of $50 per month on fast food across 5 months, the student can only spend $15 in December, considering that he has already spent a total of $235 in the other 4 months. This keeps his total spending at $250, giving an average of $50 per month.
The student wants to spend a mean of $50 per month on fast food for 5 months. In 4 of those months, he has already spent $100, $25, $80, and $30, respectively. That totals to $235 in spent funds already. Since the goal is a $50 monthly average, we multiply $50 by 5 months to get a total desired spending of $250. To find out how much he can spend in December, we subtract the total already spent from the total desired spending. As such, he can spend $250 - $235, which equals to $15 in December.
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(Not drawn accurately)
Answer:
1782
Step-by-step explanation:
I got this by multiplying the sides and dividing the shapes and sizes to the power of pie then added a +c and got 172
Answer:
70.42
Step-by-step explanation:
Simplify both sides of the equation
-5/2 x +3/4 x = -3/4
Combine like terms
(-5/2 x + 3/4 x )
-7/4 x = -3/4
-7/4 x = -3/4
Multiply both sides by 4/(-7)
(4/-7)*(-7/4 x ) = (4/-7 ) * ( -3/4 )
x = 3/7
what is n
The history of mathematics is nearly as old as humanity itself. Since antiquity, mathematics has been fundamental to advances in science, engineering, and philosophy.
During the 16th and early 17th Century, the equals, multiplication, division, radical (root), decimal and inequality symbols were gradually introduced and standardized.
The use of decimal fractions and decimal arithmetic is usually attributed to the Flemish mathematician Simon Stevin the late 16th Century, although the decimal point notation was not popularized until early in the 17th Century.
It has evolved from simple counting,measurement and calculation, and the systematic study of the shapes and motions of physical objects, through the application of abstraction, imagination and logic, to the broad,complex and often abstract discipline we know today.
Mathematical symbols were not created until the 16th Century. The earliest is the plus sign, +, in the 14th and the minus, -, is the 15th.
For more information about History of Mathematics click the link the below.
The correct answer is:
They had no numeral for zero in their number system.
Without a zero, it is hard to accurately represent real world problems. This makes it easier to use words rather than numbers.
Answer:
The area of the oil spill is increasing at a rate 180 π m²/s, when the radius is 30 m.
Step-by-step explanation:
Derivative Rule:
Given that
The radius of the oil spill increases at a rate 1.5 m/s.
i.e
We need to find the rate of area increase i.e .
We know,
The area of the oil spills A = ( since it spreads in circular pattern)
Differentiating with respect to t
Plug the value of
Plug r= 30 m
=180 π m²/s
The area of the oil spill is increasing at a rate 180 π m²/s, when the radius is 30 m.
a. (9 + 2i) + (1 – i)
b. (9 + 4i) + (–1 – 7i)
c. (7 + 2i) + (1 – i)
d. (7 + 4i) + (–1 – 7i)
Answer:B
Step-by-step explanation: