Answer:
Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
Step-by-step explanation:
Let be
and
the amounts of nickels and dimes that Carrie and Joan have, as
the total amount of money that both Carrie and Joan have. A nickel is a five cent coin and a dime is a ten cent coin.
The following equations are constructed after a careful reading on statement:
Carrie's amount of money:
(Eq. 1)
Joan's amount of money:
(Eq. 2)
Relation between amounts of coins:
(Eq. 3)
First we eliminate
by equalizing (Eq. 1) and (Eq. 2):

Then, we reduce the resulting formula by (Eq. 3):



And rest of variable are now determined:




Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
"<span>What is the multiplicative inverse of 1 2/3 divide by 12?"
Suppose you actually divide 1 2/3 by 12: (5/3) / 12 = (5/36).
Now, if you multiply this (5/36) by 12, you'll get (5/3), which is the same as
1 2/3.</span>
Answer:
The rate at which the value of house increases in 40 years is 1.03
Step-by-step explanation:
The initial value of house = P = $30,000
The final value of house = F = $120,000
The period for which the value increase = 40 years
Let the rate at which the value increases in 40 years = r%
<u>Now, According to question</u>
The final value of house after n years = The initial value of house × 
i.r F = P × 
Or, r = 
Or, r = 
Or, r = 
∴ r = 1.03
The rate at which the value increases in 40 years = r = 1.03
Hence,The rate at which the value of house increases in 40 years is 1.03 Answer