4. 1/3 6.-0.9 or -9/10 8. 2 1/3 10. -3.45 12.4.54 or 4 27/50
Answer:

Step-by-step explanation:
Given
Represent Goldfish with g and hermit crabs with h.
The first statement, we have:

The second statement, we have:

Required
Determine the selling price of 6 goldfish and 4 hermit crabs
The equations are:
--- (1)
--- (2)
Make g the subject in (2)


Divide both sides by 4

Substitute
for g in (1)



Multiply through by 4


Open bracket


Collect Like Terms


Make h the subject



Substitute 4 for h in 




This implies that:
1 goldfish = $2
1 hermit crab = $4
The cost of 6 goldfish and 4 hermit crabs is:




Answer:
Step-by-step explanation:
Let's use the definition of the Laplace transform and the identity given:
with
.
Now,
. Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that
.
Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that
.
Solving for F(s) on the last equation,
, then the Laplace transform we were searching is
Answer: The original price of washing machine is $250.
Step-by-step explanation:
Since we have given that
Rate of decline in normal prices = 17%
Amount of normal price reduced by = $42.50
Let the original price be x
According to question,

Hence, The original price of washing machine is $250.
Answer:
(-3,8) would NOT fit the table.