Answer:
It'll take 10.6638 years to double his money.
Step-by-step explanation:
Since the invested capital is compounded continuosly we need to use the apropriate formula shown below:
M = C*e^(r*t)
Where M is the final value, C is the initial value, r is the rate of interest and t is the total time elapsed. In this case we want to double our investment, since the amount invested was 2800, then we need to have a final value of 2*2800 = 5600. Applying these values to the formula:
5600 = 2800*e^(0.065*t)
2800*e^(0.065*t) = 5600
e^(0.065*t) = 5600/2800
e^(0.065*t) = 2
ln(e^(0.065*t)) = ln(2)
0.065*t = ln(2)
t = ln(2)/0.065 = 10.6638 years
It'll take 10.6638 years to double his money.
Answer:
y - 3 = -4 (x +2)
Step-by-step explanation:
Point slope form is
y -y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y - 3 = -4 (x - -2)
y - 3 = -4 (x +2)
How many milliliters are in a pint?
Answer: 473.176
Step-by-step explanation:
Write the prime factorization of each term:
9r⁵s = 3² × r⁵ × s
6r⁴s² = 2 × 3 × r⁴ × s²
12r²s = 2² × 3 × r² × s
The greatest common factor will have all the common factors raised to their lowest exponent.
So all three terms have 3, r, and s as factors. The lowest exponent of 3 is 1. The lowest exponent of r is 2. The lowest exponent of s is 1.
GCF = 3 × r² × s
GCF = 3r²s
Factor out the GCF:
9r⁵s + 6r⁴s² − 12r²s
3r²s (3r³ + 2r²s − 4)
Answer:
V = 10,240mm^3
Step-by-step explanation:
The volume of pyramid is given by the following formula:
(1)
b: base of the pyramid = (32mm)^2
h: height
Thus, it is necessary to find the value of h, by using the Pitagoras's theorem, one half of the base and the slant height (which forms a rectangle triangle with h):
by replacing in (1) you obtain:
hence, the volume is 10240mm^3
