Answer:
The rate of decrease is 8%
Step-by-step explanation:
we know that
The general equation for the radioactive decay can be written as:

where
a is the amount in kilograms after time t.
a_0 is the original amount of the substance or y-intercept of the function
r is the decay rate, written in decimals.
t is the time
In this problem we have

so

solve for r

Convert to percentage

The cost of 1 battery is 0.43
Step-by-step explanation:
Let the cost of 1 battery be x
We are given that the torch costs 11 times as much as the battery
Cost of torch = 11x
Total cost of 1 battery and torch = 11x+x=12x
Tim pays $10
He receives change of $4.84
Total cost of 1 torch and battery = 10 - 4.84 =$5.16
So,


Hence the cost of 1 battery is 0.43
Circumference = 2×3.14×r
3.14 is pie and r is the radius.
To find the radius you divide the diameter by 2.
19 ÷ 2 = 9.5
2×3.14×9.5 = 59.66
Multiply 59.66 by 6 because ther are 6 pennies.
59.66 × 6 = 357.96 mm.
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Answer:
y =10
Step-by-step explanation:
The equation of a line in point slope form is expressed as;
y - y0 = m(x-x0)
m is the slope
(x0, y0) is the point on the line
Given
m = 0 and (x0, y0) = (4, 10)
On substituting;
y - 10 = 0(x-4)
y - 10 = 0
y = 0+10
y = 10
Hence the required equation of the line is y =10