Answer:
5
Step-by-step explanation:
Let the number of the kitchen clock sold =a
Let the number of the cuckoo clock sold =b
Let the number of the two-foot high grandfather clocks sold =c
The new saleswoman sold at least two of each of the three models.
Therefore:

In all, she collected $300 from selling these models alone
17a+31b+61c=300
17(2)+31(2)+61(2)=218
300-218=82
Next, we try to express the remainder (82) in terms of 17, 31 and 61
82=17(3)+31
Therefore, she sold:
- 5 kitchen clocks
- 3 cuckoo clocks
- 2 two-foot high grandfather clocks
She sold 5 $17 clocks.
CHECK:
17(5)+31(3)+2(61)=$300
Answer:
8%
Step-by-step explanation:
The amount repaid is ...
A = P(1 +rt)
Filling in the given values, we can find r.
(18·28) = 450(1 +r(18/12)) . . . . . t is in years
504 = 450 + 675t
54/675 = 0.08 = 8%
The simple interest rate on the loan is 8%.
Answer:
402.07
Step-by-step explanation:
Let Jenny = J
Let Mica = M
J = M + 4
Now you have to represent 5 years ago
J - 5 = 2*(M - 5)
J - 5 = 2M - 10 Substitute J = M + 4 Into this equation
M + 4 - 5 = 2M - 10 Combine terms on the left
M - 1 = 2M - 10 Add 10 to both sides
M - 1 + 10 = 2M Combine one the left
M + 9 = 2M Subtract M from both sides
9 = 2M - M
9 = M Answer Miki
J = M + 4 Substitute Miki's age for M
J = 9 + 4 Answer Jenny
J = 13
Answer:
Jenny = 13
Mika = 9
Answer:
The probability that the cost for someone's dog is higher than for the cat is 33.2%.
Step-by-step explanation:
With the data given, we know that the difference in cost of medical care of dogs and cats have a normal distribution with μ=-20 and σ=46.
To know the probability of the cost for the dog is higher than the cat, we have to calculate the probability of P(d>0).
Then we have to calculate z, and look up in a standarized normal distribution table.
Calculate z:

The probability of the difference being higher than 0, we have:

We can say that the probability that the cost for someone's dog is higher than for the cat is 33.2%.