a. The number n of monthly payments of P dollars each required to pay off a loan of A dollars in its entirety at interest rate r is given by n = − log 1 − A r 12 P log 1 + r 12 b. college student wants to buy a car and realizes that he can only afford payments of $ 200 per month. If he borrows $ 3000 and pays it off at 6 % interest, how many months will it take him to retire the loan? Round to the nearest month. c. Determine the number of monthly payments of $ 611.09 that would be required to pay off a home loan of $ 128 , 000 at 4 % interest.
a. The number n of monthly payments of P dollars each required to pay off a loan of A dollars in its entirety at interest rate r is given by n = − log 1 − A r 12 P log 1 + r 12 b. college student wants to buy a car and realizes that he can only afford payments of $ 200 per month. If he borrows $ 3000 and pays it off at 6 % interest, how many months will it take him to retire the loan? Round to the nearest month. c. Determine the number of monthly payments of $ 611.09 that would be required to pay off a home loan of $ 128 , 000 at 4 % interest.
Solution Summary: The author uses the expression n=-mathrmlogleft to calculate the time taken by a student to clear his loan.
a. The number
n
of monthly payments of
P
dollars each required to pay off a loan of
A
dollars in its entirety at interest rate
r
is given by
n
=
−
log
1
−
A
r
12
P
log
1
+
r
12
b. college student wants to buy a car and realizes that he can only afford payments of
$
200
per month. If he borrows
$
3000
and pays it off at
6
%
interest, how many months will it take him to retire the loan? Round to the nearest month.
c. Determine the number of monthly payments of
$
611.09
that would be required to pay off a home loan of
$
128
,
000
at
4
%
interest.
Write the given third order linear equation as an equivalent system of first order equations with initial values.
Use
Y1 = Y, Y2 = y', and y3 = y".
-
-
√ (3t¹ + 3 − t³)y" — y" + (3t² + 3)y' + (3t — 3t¹) y = 1 − 3t²
\y(3) = 1, y′(3) = −2, y″(3) = −3
(8) - (888) -
with initial values
Y
=
If you don't get this in 3 tries, you can get a hint.
Question 2
1 pts
Let A be the value of the triple integral
SSS.
(x³ y² z) dV where D is the region
D
bounded by the planes 3z + 5y = 15, 4z — 5y = 20, x = 0, x = 1, and z = 0.
Then the value of sin(3A) is
-0.003
0.496
-0.408
-0.420
0.384
-0.162
0.367
0.364
Question 1
Let A be the value of the triple integral SSS₂ (x + 22)
=
1 pts
dV where D is the
region in
0, y = 2, y = 2x, z = 0, and
the first octant bounded by the planes x
z = 1 + 2x + y. Then the value of cos(A/4) is
-0.411
0.709
0.067
-0.841
0.578
-0.913
-0.908
-0.120
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