Use compound interest formula F=P(1+i)^n twice, one for each deposit and sum the two results.
For the P=$40,000 deposit,
i=10%/2=5% (semi-annual)
number of periods (6 months), n = 6*2 = 12
Future value (at end of year 6),
F = P(1+i)^n = 40,000(1+0.05)^12 = $71834.253
For the P=20000, deposited at the START of the fourth year, which is the same as the end of the third year.
i=5% (semi-annual
n=2*(6-3), n = 6
Future value (at end of year 6)
F=P(1+i)^n = 20000(1+0.05)^6 = 26801.913
Total amount after 6 years
= 71834.253 + 26801.913
=98636.17 (to the nearest cent.)
Answer:
41.04 g/L
Step-by-step explanation:
The relationship is modeled by the following function:
S(t) = 500*e^(-0.25*t)
where t is time elapsed after the dilution begins (in hours) and S(t) the concentration of salt in the tank (in g/L)
Replacing with t = 10
S(t) = 500*e^(-0.25*10)
S(t) = 41.04 g/L
Answer:10√2
Step-by-step explanation:
∆ABC is a right angle triangle
Angle A + Angle B + angle C = 180
There angel B = 180-135= 45
Angle A = Angle B
Therefore AC= BC=10
By Pythagoras ppt AB^2=10^2 +10^2
=100+100
=√200
=10√2
Answer:
= x
Step-by-step explanation:
In right triangles the sum of square length of two legs is equal to square length of hypotenuse:
7^2 + 8^2 = x^2
49 + 64 = x^2 add like terms
113 = x^2 find the root for both sides
= x
Answer:
last one
Step-by-step explanation: