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3 years ago

Which function is the inverse of ? f(x)=50,000(0.8)^x

Mathematics

1 answer:

IrinaK [193]3 years ago

4 0

Answer:

y=log(x)−log(50000)log(0.8)

Explanation:

write as : y=50000(0.8)x

Taking logs:

log(y)=log(50000)+log(.(0.8)x.)

But log(.(0.8)x.) is the same as xlog(0.8)

Thus
x=log(y)−log(50000)log(0.8)

Now swap the x'x and the y's giving:

y=log(x)−log(50000)log(0.8)

my teacher helped a little bit

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3 years ago

» The planet Venus is on average

Romashka-Z-Leto [24]

Answer:

4.443*10^9

Step-by-step explanation:

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3 years ago

Mr. Noel borrowed money from his cousin at a rate of 10% simple interest. After 1 year, $440

Alborosie

Answer:

Step-by-step explanation:

Using the formula for calculating the simple interest expressed as;

Simple Interest = Principal * rate * time/100

Note that the principal is the amount he originally borrowed

I = PRT/100 ............ 1

Amount paid off A = Principal+Interest

A = P+I ............ 2

From equation 2; I = A-P......... 3

Substitute equation 3 into 1;

A-P = PRT/100

Given A = $440, R = 10%, Time = 1year

Substitute the given parameters into the resulting equation;

440 - P = P*10*1/100

440-P = 10P/100

440-P = 0.1P

440 = 0.1P+P

440 = 1.1P

Divide through by 1.1;

1.1P/1.1 = 440/1.1

P = $400

Hence the amount Mr Noel originally borrow is $400

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3 years ago

The formula I = PRT where I = Interest, P = principal, R = rate, and T = time is used to calculate the amount of simple interest

Marta_Voda [28]

Answer:

T= I divided by the quantity P times R

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3 years ago

The price of a carton of eggs at Supermarket A is $2.10. The price of a carton of eggs at Supermarket B is 40% less than the pri

igor_vitrenko [27]

Answer:

84 Percentage increase

Step-by-step explanation:

Detailed calculations & verification

Introduction. Percent, p%

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

40% = 40/100 = 40 ÷ 100 = 0.4.

100% = 100/100 = 100 ÷ 100 = 1.

Increase the number by 40% of its value.

Percentage increase = 40% × 210

New value = 210 + Percentage increase

Calculate the New Value

New value =

210 + Percentage increase =

210 + (40% × 210) =

210 + 40% × 210 =

(1 + 40%) × 210 =

(100% + 40%) × 210 =

140% × 210 =

140 ÷ 100 × 210 =

140 × 210 ÷ 100 =

29,400 ÷ 100 =

294

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 210 =

294 - 210 =

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3 years ago