I need help please?!!!!
1 answer:
You might be interested in
Answer:
<u>19.01 pound</u> of cashews and <u>16.99 pounds</u> of brazil nuts should be used to make a 36 pound mixture that sells for 5.69 per pound.
Step-by-step explanation:
Given:
The nutty professor sells cashews for 7.20 per pound and brazil nuts for 4.00 per pound.
Now, to find each type should be used to make a 36 pound mixture that sells for 5.69 per pound.
Let the quantity of cashews be
Let the quantity of brazil nuts be
So, total pound of mixture of nuts:
Now, the total price of mixture per pound:
Substituting the value of from equation (1) we get:
Subtracting both sides by 144 we get:
Dividing both sides by 3.2 we get:
The quantity of cashews = 19.01 pound.
Now, substituting the value of in equation (1) we get:
The quantity of brazil nuts = 16.99 pounds.
Therefore, 19.01 pound of cashews and 16.99 pounds of brazil nuts should be used to make a 36 pound mixture that sells for 5.69 per pound.
Answer: $ 3462.03
Step-by-step explanation:
The exponential equation for growth (compounded continuously) is given by :-
, where P= Present value
r= growth rate ( in decimal)
t= time
As per given , we have
P=$1900, r = 6% =0.06 and t= 10
Substitute all the values in the above equation , we get
[To the nearest cent]
Hence, the balance in the account after 10 years = $ 3462.03