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Novosadov [1.4K]
3 years ago
14

Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type your answers in the box

Mathematics
1 answer:
anastassius [24]3 years ago
3 0
F(x) = (1/2)x + 4
Plug y in for f(x).
y = (1/2)x + 4
Swap x and y.
x = (1/2)y + 4
Solve the equation for y =.
Subtract 4 from both sides.
x - 4 = (1/2)y
Multiply each term 2.
2x - 8 = y
Plug f^-1(x) in for y.
f^-1(x) = 2x - 8

f^-1(4) = 2(4) - 8
f^-1(4) = 0
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Answer:

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B ) Hence The interest for the car loan is $ 3,152

Step-by-step explanation:

Given as :

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A ) The period of loan = 48 months = 4 years

Let the interest of the loan = CI

<u>From compounded method</u>

Amount = Principal × (1 + \frac{\textrm Rate}{100})^{\textrm time}

Or, Amount = $ 20,000 × (1 + \frac{\textrm 5}{100})^{\textrm 4}

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Or, Amount = $ 20,000 × 1.2155

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Or, CI = $ 24,310 - $ 20,000  

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Hence The interest for the car loan is $ 4,310

B ) The loan for the car = $ 20,000

The rate of interest of car loan = 5 % compounded annually

The period of loan = 3 years

Let the interest of the loan = CI

So,

<u>From compounded method</u>

Amount = Principal × (1 + \frac{\textrm Rate}{100})^{\textrm time}

Or, Amount = $ 20,000 × (1 + \frac{\textrm 5}{100})^{\textrm 3}

Or,  Amount = $ 20,000 × (1.05)^{3}

Or, Amount = $ 20,000 × 1.1576

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So, Interest = Amount - Principal

Or, CI = $ 23,152 - $ 20,000  

∴  CI = $ 3,152

Hence The interest for the car loan is $ 3,152

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Step-by-step explanation:

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Step-by-step explanation:

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