Instructions:Select the correct answer. Which function is the inverse of f(x)=50000(0.8)^x
2 months ago
Solution 1
2 months ago
To solve this problem you must follow the proccedure shown below:
1. You have the following function given in the problem:
f(x)=50000(0.8)^x
2. You can rewrite it as below:
y=50000(0.8)^x
3. Then, you must apply interchange the variables:
x=50000(0.8)^y
4. Now, you have:
x/50000=(0.8)^y
5. When you apply ln you obtain:
ln(x/50000)=ln(0.8)^y
ln(x)-ln(50000)=yln(0.8)
6. Now, clear y:
y=[ln(x)-ln(50000)]/ln(0.8)
1. You have the following function given in the problem:
f(x)=50000(0.8)^x
2. You can rewrite it as below:
y=50000(0.8)^x
3. Then, you must apply interchange the variables:
x=50000(0.8)^y
4. Now, you have:
x/50000=(0.8)^y
5. When you apply ln you obtain:
ln(x/50000)=ln(0.8)^y
ln(x)-ln(50000)=yln(0.8)
6. Now, clear y:
y=[ln(x)-ln(50000)]/ln(0.8)
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An apple pie with a circumference of 28.26 inches is cut into 6 equal-sized pieces. Two pieces of the pie are eaten. What is the area of the pie that is left? Select the correct answer. Use 3.14 for π.
Solution 1
C = πd
d = C / π
d = 28.26 / 3.14
d = 9 in
but r = d/2 = 9/2 = 4.5 in
A = π r^2
= 3.14 x (4.5^2)
= 3.14 x 20.25
= 63.585
divided into 6 equal
so 63.585 / 6 = 10.5975
but ate 2, so there are 4 pieces left
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answer
the area of the pie that is left is 42.36 in^2
d = C / π
d = 28.26 / 3.14
d = 9 in
but r = d/2 = 9/2 = 4.5 in
A = π r^2
= 3.14 x (4.5^2)
= 3.14 x 20.25
= 63.585
divided into 6 equal
so 63.585 / 6 = 10.5975
but ate 2, so there are 4 pieces left
4 x 10.5975 = 42.39
answer
the area of the pie that is left is 42.36 in^2
Solution 2
Hey user!!
your answer is here...
we know that circumference of circle = πd
given the circumference of the apple pie = 28.26 in.
therefore πd = 28.26 in.
==> 3.14 × d = 28.26 in.
==> d = 28.26/3.14
==> d = 9 in.
the diameter of the apple pie is 9 in.
therefore radius of the apple pie = 9/2 = 4.5 in.
area of the apple pie = πr²
== 3.14 × 4.5 × 4.5
= 63.585 in²
it's divided into 6 equal parts and two pieces are eaten. so the area of leftover pie = 63.585/6 × 4
= 63.585/3 × 2
= 21.195 × 2
= 42.39 in²
cheers!!
your answer is here...
we know that circumference of circle = πd
given the circumference of the apple pie = 28.26 in.
therefore πd = 28.26 in.
==> 3.14 × d = 28.26 in.
==> d = 28.26/3.14
==> d = 9 in.
the diameter of the apple pie is 9 in.
therefore radius of the apple pie = 9/2 = 4.5 in.
area of the apple pie = πr²
== 3.14 × 4.5 × 4.5
= 63.585 in²
it's divided into 6 equal parts and two pieces are eaten. so the area of leftover pie = 63.585/6 × 4
= 63.585/3 × 2
= 21.195 × 2
= 42.39 in²
cheers!!
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