Answer:
1) 500 2) $ 1000 debt 3) $350 4) $2500 debt
Step-by-step explanation:
profit = .5x -250
1) O = .5x -250
250 = .5x
500 = x number to break even
2) f(900) = .5 (900) -250 = $200
from the graph g(200) = total debt = $1000
3) f(x) = -75 = .5x-250 results in x = $ 350
4) f(500) = .5(500) - 250 = 0
from the graph, this corresponds to total debt g (f(500) = $2500 debt
The vertex is halfway between 700 and 800, and the x value of the vertex is right over the 10. So since the x value represents dollars, the maximum (vertex) is 10$ each for 750$
Answer:
(B)
Step-by-step explanation:
It is given that: From ΔONP and ΔMLP,
(By basic proportionality theorem)
∠MPL=LPM(Common)
Therefore, ΔONP is similar to ΔMLP by SAS similarity postulate.
Also, From ΔONP and ΔKPJ,
(By basic proportionality theorem)
∠OPN=KPJ(Common)
therefore, ΔONP is similar to ΔKPJ by SAS similarity postulate.
Now, since ΔONP is similar to ΔMLP by SAS similarity postulate and ΔONP is similar to ΔPJK by SAS similarity postulate, therefore ΔMLP is similar to ΔPJK by SAS similarity postulate.
Thus, all the three center triangles are similar by SSS similarity postulate.
Answer:
length of rectangle(l)=x
breadth(b)=5
perimeter of rectangle=2(l+b)=2(X+5)=2X+10
area if rectangle= l×b=X×5=5x.
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Answer:
$10511.075
Step-by-step explanation:
Given :
Interest rate, r =. 1.25% = 0.0125 compounded semianually
Principal = 10000
Number of years, t = 4 years
Compound interest :
A = P(1 + r/n)^nt
A = final amount ; n = number of compounding times per period
n = 2 (quarterly)
A = 10000(1 + 0.0125/2)^2*4
A = 10000(1 + 0.00625)^8
A = 10000(1.00625)^8
A = 10000 * 1.051107529
A = 10511.075
Final. Amount to. Be repaid = $8515.13
