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Eva8 [605]
3 years ago
12

What does limit as x goes to infinity of the quotient of f of x and g of x equals 5 show? g(x) grows faster than f(x) as x goes

to infinity. f(x) and g(x) grow at the same rate as x goes to infinity. f(x) grows faster than g(x) as x goes to infinity. L'Hôpital's Rule must be used to determine the true limit value.
Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0
Here i will get back to u i gotta do the work
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Suppose payments were made at the end of each month into an ordinary annuity earning interest at the rate of 4.5%/year compounde
valentina_108 [34]

Answer:

each payment = $214.20

Step-by-step explanation:

For ordinary annuity,

FVOA = PMT x [{(1+r/m)^(n*m)} - 1/(r/m)]

Here, FVOA = $50,000

year, n = 14

Since the interest will be paid monthly, m = 12

interest rate, r = 4.5% = 0.045

PMT = ?

Putting all the values into the ordinary annuity formula,

FVOA = PMT x [{(1+r/m)^(n*m)} - 1/(r/m)]

$50,000 = PMT x [{(1+0.045/12) ^ (14*12)} - 1/(0.045/12)]

or, $50,000 = PMT x [{(1+0.045/12) ^ (14*12)} - 1/(0.045/12)]

or, $50,000 = PMT x [(1.8754 - 1)/0.00375]

or, $50,000 = PMT x [(1.8754 - 1)/0.00375]

or, $50,000 = PMT x 233.4399

or, PMT = $50,000/233.4399

PMT = $214.19

or, monthly payment will be $214.20 (Nearest cent)

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Find the value of x in the equation 3(2x-4)-5(x-2)=1
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Answer:

x=3

Step-by-step explanation:

3(2x−4)−5(x−2)=1

Step 1: Simplify both sides of the equation.

3(2x−4)−5(x−2)=1

(3)(2x)+(3)(−4)+(−5)(x)+(−5)(−2)=1(Distribute)

6x+−12+−5x+10=1

(6x+−5x)+(−12+10)=1(Combine Like Terms)

x+−2=1

x−2=1

Step 2: Add 2 to both sides.

x−2+2=1+2

x=3

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In this equation, X = 17
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7 is a prime number, which means it can't be simplified. This fraction is already in simplest form, also because 25 and 7 don't have any common factors.
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