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.
=
Q6 What will be the allowable bearing capacity of sand having p = 37° and ydry
19 kN/m³ for (i) 1.5 m strip foundation (ii) 1.5 m x 1.5 m square footing and
(iii)1.5m x 2m rectangular footing. The footings are placed at a depth of 1.5 m
below ground level. Assume F, = 2.5. Use Terzaghi's equations.
0
Ne
Na
Ny
35 57.8 41.4 42.4
40 95.7 81.3 100.4
Q1 The SPT records versus depth are given in table below. Find qan for the raft 12%
foundation with BxB-10x10m and depth of raft D-2m, the allowable
settlement is 50mm.
Elevation, m 0.5 2
2 6.5 9.5 13 18 25
No.of blows, N 11 15 29 32 30 44
0
estigate shear
12%
Q2 A/ State the main field tests which may be carried out to investigate shear
strength of a soil layer?
B/ What are the main factors that affecting the spacing and number of
boreholes for a given project?
C/ Illustrate the causes of disturbance of Shelby tubes samples.
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