Answer:
Step-by-step explanation:
If $10,000 is invested at an interest rate of 2% per year, compounded semiannually, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)
a)6 years
b)12 years
c)18 years
***
compound interest formula: A=P(1+r/n)^nt, P=initial investment, r=interest rate, n=number of compounding periods per year, A=amt after t-years.
For given problem:
P=10000
r=.02
n=2
t=6, 12, 18
..
A(6)=10000(1+.02/2)^2*6
A(6)=10000(1.01)^12=11,268.25
A(12)=10000(1.01)^24=12,697.35
A(18)=10000(1.01)^36=14,307.69
Answer:
60 ml of 40% saline and 90 ml of 15% saline
Step-by-step explanation:
We can call the amount of 40% solution x and the amount of 15% solution y.
x + y = 150 -- (1)
0.40x + 0.15y = 150 * 0.25 -- (2) --- 150 * 0.25 = 37.5
40x + 15y = 3750 (Multiply (2) by 100 to get rid of decimals)
15x + 15y = 2250 -- (3) (Multiply (1) by 15)
25x = 1500 (Subtract (3) from (1)
x = 60
y = 150 - 60 = 90
Simplify the following:
3 + 2 (2 p + 4 t) + 6 + 5 p
Grouping like terms, 3 + 2 (2 p + 4 t) + 6 + 5 p = 2 (2 p + 4 t) + 5 p + (3 + 6):
2 (2 p + 4 t) + 5 p + (3 + 6)
3 + 6 = 9:
2 (2 p + 4 t) + 5 p + 9
2 (2 p + 4 t) = 4 p + 8 t:
4 p + 8 t + 5 p + 9
Grouping like terms, 4 p + 8 t + 5 p + 9 = 8 t + (4 p + 5 p) + 9:
8 t + (4 p + 5 p) + 9
4 p + 5 p = 9 p:
Answer: 8 t + 9 p + 9
We need the graph to answer it the intercepts are when y is equal to zero and x is not that's the x intercept and y is the opposite
