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34kurt
3 years ago
5

Find the formula for df^-1/dx. f(x)=(7-x)^3

Mathematics
1 answer:
klio [65]3 years ago
7 0
Here is the equation to solve the problem above:

f(x) = (7-x)^3
y = (7-x)^3

switch y and x
 x = (7 - y)^3
 
third root of x = 7 - y
-y = 3rootx - 7
 
so:<span><span>f′(x)=3^<span>√x</span>−7</span></span>
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A line passes through the points (5, –7.5) and has a y-intercept of 10.
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Step-by-step explanation:

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If the principal is $300 rate 3% time 4 years then what is the interest earned and the new balance
Tomtit [17]

Answer:

a) Interest earned = $36

New Balance  = $336

b) Interest rate  = 0.05 or 5%

New Balance = $517.5

c) time t = 5

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d) Principal Amount = $675

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Step-by-step explanation:

We are given:

a) Principal (P) = $300

Rate (r) = 3% or 0.03

Time (t)= 4 years

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The formula used is: Simple \ Interest (I)= P\times r\times t

Putting values and finding interest

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So, Interest earned = $36

New Balance = Principal + Interest = 300+36 = $336

b) a) Principal (P) = $300

Rate (r) = ?

Time (t)= 3 years

Interest earned = 67.50

The formula used is: Simple \ Interest (I)= P\times r\times t

Putting values and finding rate

Simple \ Interest (I)= P\times r\times t\\67.50= 450\times r\times 3\\67.50=1350\times r\\r=\frac{67.50}{1350}\\r=0.05 \ or \ 5\%

So, Interest rate  = 0.05 or 5%

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Interest earned = $112.50

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Putting values and finding time

Simple \ Interest (I)= P\times r\times t\\112.50= 500\times 0.045\times t\\112.50=22.5 \times t\\t=\frac{112.50}{22.5}\\t=5

So, time t = 5

New Balance = Principal + Interest = 500+112.50 = $612.5

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Rate (r) = 8% or 0.08

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The formula used is: Simple \ Interest (I)= P\times r\times t

Putting values and finding Principal

Simple \ Interest (I)= P\times r\times t\\108=P\times 0.08 \times 2\\108=P\times 0.16\\P=\frac{108}{0.16}\\P=675

So, Principal Amount = $675

New Balance = Principal + Interest = 675+108 = $783

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Step-by-step explanation:

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