15 days ago

A juice company produced 8064 cartons of juice 21 days. Each day they produced the same number of cartons and delivered those ca

rtons to 16 area coffee shops the cartons were delivered in cases of 6 cartons per case and each coffee shop received an equal number of cases and East delivering how many cases were delivered to eat coffee shop each day

Mathematics

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You bought stocks in 2 different companies yesterday: 100 shares of stock "a" was purchased at $21.15 per share and gained 6% to

AnnZ [12381]

Answer:

4.11%

Step-by-step explanation:

Profit on stock a:

(21.15 × 100) × 6/100

126.9

Loss incurred on stock b:

(14.23 × 50) × 1.5/100

10.6725

Overall profit:

126.9 - 10.6725

116.2275

Complete share value:

(21.15 × 100) + (14.23 × 50)

2826.5

Percentage gain:

116.2275/2826.5 × 100

4.112064391%

6 0

2 months ago

Zack has an old car.He wants to sell it for 60% off the current price. The market price is $500. How much money would he receive

lawyer [12517]

60% of 500 is calculated as 0.6 multiplied by 500, resulting in 300. Therefore, Zack would receive $300.

7 0

2 months ago

(a) For what values of k does the function y = cos(kt) satisfy the differential equation 81y'' = −4y? (Enter your answers as a c

tester [12383]

Answer:

$k = \frac{2}{9}, k=\frac{-2}{9}$

Step-by-step explanation:

The initial scenario is a specific case of the subsequent one, so we will address the second case first.

Consider $y = A\sin(kt) + B\cos(kt)$ . Through the utilization of derivatives and trigonometric function properties, it is determined that

$y' = A\cdot k \cos(kt)- B \cdot k \sin(kt) = k (A\cos(kt)-B\sin(kt))$

$y'' = k(-A\cdot k \sin(kt)-B\cdot k \cos(kt)) = -k^2(y)$

The equation is represented as $81y''=-4y$ . It's important to note that since $y'' = -k^2y$ it leads to the equation

$-k^2 81y=-4y$ ,

which signifies that $k^2 = \frac{4}{81}$ . Consequently, $k=\pm\frac{2}{9}$

It's notable that in this instance, the value of k is independent of A and B. Thus, it applies universally to any values of A and B. The first scenario is included since it corresponds to A=0 and B=1.

5 0

3 months ago