4.282 is rounded to 4.300
Answer:
Bill will earn more interest
He will earn $ 20,448.67 from his investment
Step-by-step explanation:
Firstly let us calculate Jim's earnings based on simple interest
A = P(1 + rt)
Calculation:
First, converting R percent to r
a decimal
r = R/100 = 3.5%/100 = 0.035 per year.
Solving our equation:
A = 15000(1 + (0.035 × 25)) = 28125
A = $28,125.00
The total amount accrued, principal plus interest, from simple interest on a principal of $15,000.00 at a rate of 3.5% per year for 25 years is $28,125.00 for Jim
Now let's us calculate bill's investment based on compound interest
Equation
A = P(1 + r)^t
A=15000(1+0.035)^25
A=15000(1.035)^25
A=15000*2.36324498427
A = $ 35,448.67
We see that Bill will earn
$ 20,448.67 from his investment
Answer:
± 
, 
Step-by-step explanation:
See the attached image
This problem involves Newton's 2nd Law which is: ∑F = ma, we have that the acting forces on the mass-spring system are:
that correspond to the force of resistance on the mass by the action of the spring and
that is an external force with unknown direction (that does not specify in the enounce).
For determinate
we can use Hooke's Law given by the formula
where
correspond to the elastic constant of the spring and
correspond to the relative displacement of the mass-spring system with respect of his rest state.
We know from the problem that an 15 Kg mass stretches the spring 1/3 m so we apply Hooke's law and obtain that...

Now we apply Newton's 2nd Law and obtaint that...
±
= 




Finally...
± 
We know from the problem that there's not initial displacement and initial velocity, so...
and 
Finally the Initial Value Problem that models the situation describe by the problem is

The DISTRIBUTIVE PROPERTY is when you distribute the number to certain numbers