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2 years ago

A sum of compounded annually, amount to Rs

Mathematics

1 answer:

wolverine [178]2 years ago

8 0

Answer:

Step-by-step explanation:

ollowing is the formula for calculating compound interest when time period is specified in years and interest rate in % per annum.

A = P(1+r/n)nt

CI = A-P

Where,

CI = Compounded interest

A = Final amount

P = Principal

t = Time period in years

n = Number of compounding periods per year

r = Interest rate

Calculation Examples

You can solve for any variable by rearranging the compound interest formula as illustrated in the following examples:-

1. What is the compound interest of 75000 at 7.9% per annum compounded semi-annually in 3 years?

Ans. A = P(1+r/n)nt = 75000(1 + (7.9 / 100) / 2)6 = 94625.51

Interest = 94625.51 - 75000 = 19625.51

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You want to rent a car for the day.Prestige car rentals charges $47 plus $0.07 per mile to rent a midsize vehicle . Gateway Auto

jolli1 [7]

Answer:

240 miles

Step-by-step explanation:

Given that:

Charges offered by Prestige car rentals for renting a midsize vehicle:

Fixed charges = $47

Per mile charges for renting a midsize vehicle = $0.07

Charges offered by Gateway Auto for renting a midsize vehicle:

Fixed charges = $35

Per mile charges for renting a midsize vehicle = $0.12

To find:

Number of miles for which both the companies charge the same price?

Solution:

Let the number of miles for which both the companies will charge the same price = $x$ miles

Charges for one mile by Prestige car rentals = $0.07

Charges for $x$ miles by Prestige car rentals = $0.07 $x$

Total charges by Prestige Car rentals = $47 + $0.07 $x$

Charges for one mile by Gateway Auto = $0.12

Charges for $x$ miles by Gateway Auto = $0.12 $x$

Total charges by Gateway Auto = $35 + $0.12 $x$

As per question statement, the charges are same:

$\$47 + \$0.07x = \$35 + \$0.12x\\\Rightarrow 12=0.05x\\\Rightarrow x=\dfrac{1200}{5}\\\Rightarrow \bold{x=240\ miles}$

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Illusion [34]

Answer:

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Step-by-step explanation:

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Mashutka [201]

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