Let dimes = d and quarters =q
D + q = 50
D= 50-q
0.10d + 0.25Q = 7.70
Replace d with 50-q:
0.10(50-q) + 0.25q = 7.70
Simplify:
5 -0.10q + 0.25q = 7.70
5 + 0.15q = 7.70
Subtract 5 from both sides:
0.15q = 2.70
Divide both sides by 0.15:
Q = 2.70 / 0.15
Q = 18
D = 50-18 = 32
There are 32 dimes and 18 quarters
Answer:
The value of Liam's investment at the end of 4 years is £9069.764
Step-by-step explanation:
Compound interest is interest calculated on the initial principal, which also includes all of the accumulated interest of previous periods of an investment.
We multiply the principal amount by one plus the annual interest rate to the power of the number of compound periods to get a combined figure for principal and compound interest.
4.5% in the first year;
4.5/100 = 0.045
(1 + 0.045) × 8000 =
1.045 × 8000 = £8360.
2.75% for all subsequent year;
2.75/100 = 0.0275
1 + 0.0275=1.0275
Number of years is;
4-1=3years
Therefore,
8360 × (1.0275)^3 =
8360 × 1.0849 = £9069.764
Answer:
r = - 3
Step-by-step explanation:
To find the common ratio r, divide consecutive terms
- 9 ÷ 3 = - 3
27 ÷ - 9 = - 3
- 81 ÷ 27 = - 3
Thus common ratio = - 3
Answer:
5x^2 + 4x + 3.
Step-by-step explanation:
While I'm a little confused on what is closed and open parenthesis/brackets, I think I understand what you mean. In (5x^2+3x-2)+(3x-2x+5), the brackets can simply be removed as there is no multiplication between them. This means we get 5x^2 + 3x - 2 + 3x - 2x + 5. Combining like variables, we get 5x^2 + 4x + 3.
Answer:
100.53
Step-by-step explanation:
- V = π r^2 h/3
- fill in what you know
- V= π 4^2 6/3
- solve
