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Bess [88]
3 years ago
13

Give an example of a set of ordered pairs that has five elements in its domain and four elements in its range.

Mathematics
1 answer:
LenKa [72]3 years ago
3 0

Answer:

[ (-1,0) (0,0) (1,1) (2,2) (3,3) ]

Domain = { -1,0,1,2,3 }; Range = { 0,1,2,3 }

Step-by-step explanation:

Set or collection of ordered pairs is called 'Relation'. The ordered pairs are in terms f x & y coordinate.

Eg : [ (-1,0) (0,0) (1,1) (2,2) (3,3) ]

Domain is a set of all x axis values. Range is a set of all y axis values. They are arranged non repetitively in ascending order.

Domain = { -1,0,1,2,3 }

Range = { 0,1,2,3 }

As mentioned : the relation has been designed, as such to have five elements in its domain and four elements in its range

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Marrrta [24]

Answer :

Depends on the rate compound interest is accrued. See answers.

Step-by-step explanation:

We need the compound interest formula which is:

A = P (1+\frac{r}{n} )^{nt}

A =  final amount

P =  initial principal balance

r =  interest rate

n =  number of times interest applied per time period

t =  number of time periods elapsed

It doesn't say how frequently the interest is compounded, so we will do monthly, quarterly, and yearly.

MONTHLY

So we know the car costs $25,480 and he made a down payment of $10,000. By subtracting the down payment from the purchase price we find the loan amount.

$25,480 - $10,000 = $15,480

P = 15,480

r = 4.75% = .0475

n = 12  (12 months in a year)

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Plug everything into the compound interest formula.

A = P (1+\frac{r}{n} )^{nt}

A = 15480(1+\frac{.0475}{12})^{12*2}

A = 15480(1+\frac{.0475}{12})^{24}

A = 15480(1+.00396)^{24}

A = 15480(1.00396)^{24}

A = 15480*1.0992

A = $17016.14

Mr. Lee paid $17,016.14 when the bill came due at 2 years with interest compounded monthly.

QUARTERLY

P = 15,480

r = 4.75% = .0475

n = 4  (4 quarters in a year)

t = 2  

A = P (1+\frac{r}{n} )^{nt}

A = 15480(1+\frac{.0475}{4})^{4*2}

A = 15480(1+\frac{.0475}{4})^{8}

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A = 15480(1.0119)^{8}

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Mr. Lee paid $17,013.20 when the bill came due at 2 years with interest compounded quarterly.

YEARLY

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A = 15480*1.0973

A = 16985.53

Mr. Lee paid $16,985.53  when the bill came due at 2 years with interest compounded yearly.

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