1.) Paulo divided P100,000 and invested it in two banks: one bank offers 10% interest compounded annually while the other gives 8% interest compounded semi-annually. How much did he invest in each bank if his total savings after 5 years is P157,143.
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Answer:
Length
11
m
and width
7
m
. The step by step explanation on working is given below.
Explanation:
Perimeter of rectangle is given by the formula
P
=
2
(
l
+
w
)
From the information we use
P
=
36
.
Also given length is 4m longer than width, so if
w
is width then
l
=
w
+
4
Let us setup the equation as
36
=
2
(
l
+
w
)
36
2
=
2
2
(
l
+
w
)
18
=
l
+
w
We know
l
=
w
+
4
substituting this
18
=
w
+
4
+
w
Simplifying further
18
=
2
w
+
4
18
−
4
=
2
w
+
4
−
4
14
=
2
w
14
2
=
2
w
2
7
=
w
w
=
7 l=w+4 l=7+4=
11 1=11Answer length = 11
m and width = 7m