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weeeeeb [17]
3 years ago
8

Mr. sanchez recorded the number of visitors to a county park for 20 days and the average temperature for these 20 days. he recor

ded his data on the scatterplot below.
which statement best describes the relationship between the number of visitors and the average temperature for these 20 days?

a) as the temperature increased, the number of visitors increased

b) as the temperature decreased, the number of visitors increased

c) as the temperature decreased, the number of visitors remained constant

d) as the temperature increased, the number of visitors decreased

Mathematics
1 answer:
maria [59]3 years ago
4 0
A, The temperature increase had increased the number of visitors.
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11. Mr Lee bought a second hand car for
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)

t = 2  

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}

A = 15480(1+.0119})^{8}

A = 15480(1.0119)^{8}

A = 15480*1.099

A = 15480(1.099)

A = 17013.20

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

YEARLY

P = 15,480

r = 4.75% = .0475

n = 1  

t = 2  

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

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

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

A = 15480(1+.0475})^{2}

A = 15480(1.0475)^{2}

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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