Let us solve for the total area. In this problem, we solve area 1 (the rectangle in the middle) and the area 2 ( the two half circle on the sides).
Solve for area 1:
Area rec = L * W = 5units * 4 units = 20 squared units
Solve for area 2:
Area cir = pi *r² = 3.14 * (2 units)² = 12.56 squared units
Total area = 20 + 12.56 = 32.56 foot²
Total cost = 32.56 foot² * ($23/foot²) = $ 748.88
Total cost is $748.88.
The future value of a monthly deposit A=125.30 at annual interest i=0.015 per annum for n=35 years compounded monthly is given by
FV=A((1+i/12)^(12*n)-1)/(i/12)
=125.30(1+0.015/12)^(12*35)/(0.015/12)
=$69156.05
The annuity formula is given by
Payment = r(PV)/(1-(1+r)^(-n))
where
r=interest rate per period = 0.015/12
PV= $69156.05
n=20*12=240
so
Payment = (0.015/12)<span>69156.05/(1-(1+0.015/12)^(-240))
= $333.71 per month.</span>
Step-by-step explanation:
given :
2x - 3y = 11
-6x + 8y = 34
find : the solutions of the system by using Cramers Rule.
solutions:
in the matrix 2x2 form =>
[ 2 -3] [x] [11]
=
[-6 8] [ y] [34]
D =
| 2 -3 |
|-6 8 |
= 8×2 - (-3) (-6)
= 16-18 = -2
Dx = | 11 -3 |
| 34 8 |
= 11×8 - (-3) (34)
= 88 + 102
= 190
Dy = | 2 11 |
|-6 34 |
= 2×34 - (-6) (11)
= 68 + 66
= 134
x = Dx/D = 190/-2 = -95
y = Dy/D = 134/-2 = -67
the solutions = {-95, -67}
Answer:
The correlation between exam score and amount of time spent on the exam is an example of a <u>negative correlation</u>.
Step-by-step explanation:
Consider the provided statement.
College professor reports that students who finish exams early tend to get better grades than students who hold on to exams until the last possible moment.
That means the student who finish the exam early will get the highest marks. One who finish after the first student will get second highest mark and the one who finish in the end will get the least marks.
Now consider time as first variable and marks as second variable.
That means as the first variable increase the second variable decreases.
According to the definition of Negative correlation: It is a relationship between two variables in which one variable increases as the other decreases, and vice versa.
Hence, the correct answer is negative correlation.
Final Result :
x - 3y
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