Answer:
Step-by-step explanation:
Let q represent the number of quarters. Then Tony's coin value is ...
0.25q +0.10(25 -q) = 4.00
0.15q +2.50 = 4.00 . . . . . . . . eliminate parentheses, collect terms
0.15q = 1.50 . . . . . . . . . . . . . . subtract 2.50
q = 10 . . . . . . . . . . . . . . . . . . . . divide by the coefficient of q
Then the number of dimes is ...
25 -10 = 15
Tony has 15 dimes and 10 quarters.
Answer:
- {-3.2, -1.4, 0.4 2.2, 4.0, 5.8}
- common difference: 1.8
Step-by-step explanation:
The difference between the two numbers is ...
5.8 -(-3.2) = 9
The four "means" divide this interval into 5 parts, so each part has a length of ...
9/5 = 1.8 . . . . the common difference
The values of the "means" can be found by adding 1.8 successively:
-3.2 +1.8 = -1.4
-1.4 +1.8 = 0.4
0.4 +1.8 = 2.2
2.2 +1.8 = 4.0
Including the given numbers, the arithmetic sequence is ...
-3.2, -1.4, 0.4, 2.2, 4.0, 5.8 . . . . . common difference of 1.8
Answer:
False
Step-by-step explanation:
4 cos^4 (4x)-3 = 0
Substitute into the equation
4 cos^4 (4pi/24)-3 = 0
4 cos^4 (pi/6)-3 = 0
Take the cos pi/6
4 ( sqrt(3)/2) ^4 -3 =0
Take it to the 4th power
4 ( 9/16) -3 =0
9/4 -3 =0
9/4 - 12/4 = 0
-3/4 =0
False
Answer:
A= $11500
Step-by-step explanation:
Step one:
given data
P=10,000.00
r=5%,and
t=3 years
Required
The final amount A
Step two:
assuming a simple interest we have
A= P(1+rt)
substitute
A= 10000(1+0.05*3)
A= 10000(1+0.15)
A=10000(1.15)
A=$11500
