Answer:
Number of dimes = 34
Number of nickels = 13
Step-by-step explanation:
Total number of coins = 47
Coins are in the form of nickels and dimes.
Value of a nickel = 5 cents
Value of a dime = 10 cents
Total value of coins = $4.05 or 405 cents
To find:
Number of nickels and dimes?
Solution:
Let number of nickels = 
Money value of nickels = 5
Let number of dimes = 
Money value of dimes = 10
Total value of coins = 
This value is given as equal as 405.
As per question statement, the equations can be written as:

Multiplying equation (2) with 5 and subtracting from equation (1):

Number of dimes = 34
Number of nickels = 47 - 34 = 13
Answer:
C is correct
Step-by-step explanation:
-3(2b+9) + 5 (-5b+ 6)
-6b-27 -25b +30
-31b+3
Given the word problem, we can deduce the following information:
Principal amount = $4739
Future amount = $5336
Interest = 5.1 % =0.051
To determine the time to accumulate the $5336, we use the compound interest formula:

A=Future amount=$5336
P=Present amount=$4739
r=interest rate = 0.051
n=number of compounding periods =12
t=time in years
We also note that the number of compounding periods must be 12 since the investment is compounded monthly.
We plug in what we know:

Therefore, the answer is 2.33 years.
Answer:
D. -cos(nw0t)
Step-by-step explanation:
Subtracting 90° from the argument of the sine function shifts its graph 90° to the right, putting the negative peak on the y-axis. That corresponds to the negative cosine function, choice D.
Answer:
Boys=420
336+420= 756
Step-by-step explanation: