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docker41 [41]
2 years ago
15

Ingrid Nilsen purchased a $4,000 hydroponic system for her garden. The down payment is 20%, and the

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
5 0

The purchase of the hydroponic system by Ingrid Nilsen for $4,000 with a 20% down payment at 10% APR for 36 months, and the related calculations, are as follows:

a) down payment = $800.00 ($4,000 x 20%)

b) amount financed = $3,200 ($4,000 - $800)

c) monthly payment = $103.25

d) total amount repaid = $4,517

e) finance charge = $517

<h3>How is periodic payment computed?</h3>

The amount of the periodic payment, finance charge, and total repayment can be computed using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

Auto Price = $4,000

Loan Term = 36 months

Interest Rate = 10%

Down Payment = $800 ($4,000 x 20%)

Monthly Payment  = $103.25

Total Loan Amount $3,200.00

Upfront Payment = $800.00 ($4,000 x 20%)

Total of 36 Loan Payments = $3,717. ($103.25 x 36)

Total Loan Interest = $517

Total Cost (price, interest, tax, fees) = $4,517

Thus, Ingrid Nilsen repaid a total of $4,517 with $517 in interest (finance charge).

Learn more about periodic payments at brainly.com/question/13098072

#SPj1

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What is the positive slope of the asymptote of (y+11)^2/100-(x-6)^2/4=1? The positive slope of the asymptote is .
VladimirAG [237]

Answer:

the  positive slope of the asymptote = 5

Step-by-step explanation:

Given that:

\frac{(y+11)^2}{100} -\frac{(x-6)^2}{4} =1

Using the standard form of the equation:

\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}= 1

where:

(h,k) are the center of the hyperbola.

and the y term is in front of the x term  indicating that the  hyperbola opens up and down.

a = distance that indicates  how far above and below of the center the vertices of the hyperbola are.

For the above standard equation; the equation for the asymptote is:

y = \pm \frac{a}{b} (x-h)+k

where;

\frac{a}{b} is the slope

From above;

(h,k) = 11, 100

a^2 = 100

a = \sqrt{100}

a = 10

b^2 =4

b = \sqrt{4}

b = 2

y = \pm \frac{10}{2} (x-11)+2

y = \pm 5 (x-11)+2

y = 5x-53 , -5x -57

Since we are to find the positive slope of the asymptote: we have  

\frac{a}{b} to be  the slope in the equation  y = \pm \frac{10}{2} (y-11)+2

\frac{a}{b}  = \frac{10}{2}

\frac{a}{b}  = 5

Thus, the  positive slope of the asymptote = 5

8 0
3 years ago
Tatiana practiced a total of 12 hours last week to prepare for her gymnastics meet. The line plot shows how long she practiced o
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Answer:

nigrto

Step-by-step explanation:

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The answer is $7.14!

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Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide
damaskus [11]

Answer:

0.2700

Step-by-step explanation:

-Notice that this is a binomial distribution with p=0.52, n=4 and x=3.

-The formula for the binomial probabilities is given as:

P(X=x)={n\choose x}p^x(1-p)^{n-x}

The probability than in 4, exactly 3 order their food on the go is:

P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X=3)={4\choose3}0.52^3(1-0.52)^1\\\\=0.2700

Hence, the probability that exactly 3 order their food on the go is 0.2700

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