Equations of straight lines are in the form y = mx + c (m and c are numbers). m is the gradient of the line and c is the y-intercept (where the graph crosses the y-axis).
The volume of the balloon is 1441.64cm³.
<h3>How to calculate the volume?</h3>
The radius of the balloon is given as 7cm. Also, the equation to calculate the volume is given as c³/6π²
The circumference c will be:
= 2πr = 2 × 22/7 × 7
= 44
The volume will be:
= c³/6π²
= 44³/(6 × 3.14²)
= 85284/(59.1576)
= 1441.64
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Let the amount invested at 4% be = x
Let the amount invested at 3% be = y
Given is:
or
.... (1)
As, total income for the two investments is $194, so equation is:
....(2)
Putting value of x from (1) in (2)




And x=5200-y

Hence, money invested at 4% is $3800 and money invested at 3% is $1400
Okay
5.
m+4=17
-4 -4
m=13
6.
12=24-y
24-12
y=12
7.
15-b=12
-12 -12
b=3
8.
10t=90
90/10
t=9
9.
22/y=2
22/2
y=11
10.
54=6b
54/6
b=9