*******************************************************
(See attached formula)
Loan Principal = 104,000 - 24,000 = 80,000
rate = 8.5 / 1,200 =
<span>
<span>
<span>
0.0070833333
</span>
</span>
</span>
time = 25 years = 300 months
Monthly Payment = <span>
<span>
0.0070833333
</span>
+ </span><span>
<span>
[ 0.0070833333
/ ((1</span></span><span>.0070833333)^300 -1)) ] *principal
</span>
Monthly Payment = <span>0.0070833333
+ </span><span>
[ 0.0070833333
/ (</span><span>
</span>
<span>
<span>
<span>
8.3104129461
</span>
</span>
</span>
-1)] * 80,000
Monthly Payment = 0.0070833333
+
[ 0.0070833333
/ ( 7.3104129461)] * 80,000
Monthly Payment = (0.0070833333
+
<span>
<span>
<span>
0.00096893750767) * 80,000
</span></span></span>Monthly Payment =
<span>
<span>
<span>
0.00805227080767
</span>
</span>
</span>
* 80,000
Monthly Payment =
<span>
<span>
<span>
644.18
Source:
http://www.1728.org/calcloan.htm
</span></span></span>
Roberto overtakes Juanita at the rate of (7.7 mi)/(11 h) = 0.7 mi/h. This is the difference in their speeds. The sum of their speeds is (7.7 mi)/1 h) = 7.7 mi/h.
Roberto walks at the rate (7.7 + 0.7)/2 = 4.2 mi/h.
Juanita walks at the rate 4.2 - 0.7 = 3.5 mi/h.
_____
In a "sum and diference" problem, one solution is half the total of the sum and difference. If we let R and J be the respective speeds of Roberto and Juanita, we have
R + J = total speed
R - J = difference speed
Adding these two equations, we have
2R = (total speed + difference speed)
R = (total speed + difference speed)2 . . . . . as computed above
Step-by-step explanation:
y = mx + b
y = -7x + 7
this assumes m = - 7 , it got chopped off, otherwise what ever slope is change the first 7 for that number.
<span>OK, here's a *very* approximate "creative" method:
</span><span>
sin(a+b)=sin(a)cos(b) + cos(a)sin(b) </span>
<span>
choose a=30deg and b=5deg </span>
- sin(a)=0.5 (exact)
- b is a small number so we say sin(b)~b (in radians). We can do a long division for this: 3.14/36 = 0.087 radians
- similarly, for b sufficiently small, cos(b)~1
<span>- now we only need cos(a) = sqrt(3)/2. We can approximately calculate sqrt(3) as 1.73, (by trial-and-error or better, by using the Babylonian method; so sqrt(3)/2 = 0.865 </span>
<span>
Finally, sin(30 + 5) = (0.5 x 1) + (0.087 x 0.865) = 0.575 (calculating more digits is of no use because the sin(b)=b and cos(b)=1 are quite inaccurate approximations). </span>
<span>So that wasn't all too much effort, and we're close to the correct answer (0.574)
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
Answer:
78
Step-by-step explanation: