Answer: t ≈ 20 years
Step-by-step explanation:
Since it is compounded continuously , we will use the compound interest formula:
A = P![e^{rt}](https://tex.z-dn.net/?f=e%5E%7Brt%7D)
Where A is the amount when tripled
P is the initial amount
r is the rate
t is the time
since the investment is tripled , it means the A = 3P.
From the question:
A = 3P
P = $6000
r = 5.5%
t = ?
Substituting into the formula , we have
3P = P
, that is
3(6000) = 6000![e^{0.055t}](https://tex.z-dn.net/?f=e%5E%7B0.055t%7D)
Dividing through by 6000 , we have
3 = ![e^{0.055t}](https://tex.z-dn.net/?f=e%5E%7B0.055t%7D)
Take the In of both sides in order to remove the exponential , that is
In 3 = 0.055t
divide through by 0.055
t = In 3 / 0.055
Therefore :
t = 19.97476888
t≈ 20 years
Answer:
About 8.2 cm
Step-by-step explanation:
Assuming that a is one of the legs of this right triangle, then using the Pythagorean Theorem:
![a=\sqrt{15.3^2-12.9^2}\approx 8.2](https://tex.z-dn.net/?f=a%3D%5Csqrt%7B15.3%5E2-12.9%5E2%7D%5Capprox%208.2)
Hope this helps!
Answer:
815
Step-by-step explanation:
First you put the value of x from the table into the formula provided.
<em>y = -670 + 33(x) </em><= plug in the x value from the table
<em>y = -670 + 33(45)</em> <= multiply 33 * 45
<em>y = -670 + 1485</em> <= add the two terms (which you will subtract because one is positive and one is negative.
<em>y = 815</em>
55% of what is 3.3
0.55x = 3.3
x = 3.3 / 0.55
x = 6 total miles
6 - 3.3 = 2.7......so they have another 2.7 miles to go
No solution to this problem