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Dmitriy789 [7]
2 years ago
7

1. Elissa is buying a new car. She has an excellent credit score of

Mathematics
1 answer:
k0ka [10]2 years ago
7 0

Answer:

$273.38 per month

Step-by-step explanation:

<u>Monthly Payment Formula</u>

\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}

where:

  • PMT = monthly payment
  • P = loan amount
  • i = interest rate per month (in decimal form)
  • n = term of the loan (in months)

Given:

  • P = $19,500 - $4,000 = $15,500
  • i = 2.25% / 12 = 0.0225 / 12
  • n = 5 years = 60 months

\implies \sf PMT=\dfrac{15500 (\frac{0.0225}{12})(1+\frac{0.0225}{12})^{60}}{(1+\frac{0.0225}{12})^{60}-1}

\implies \sf PMT=273.3788438

\implies \sf PMT=\$273.38

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Answer:

  a) r(q) = 1000(q +1/q)

  b) r'(q) = 1000(1 -1/q^2)

  c) r'(10) = 990

Step-by-step explanation:

a) Revenue is the product of quantity and price:

  r(q) = q·p(q) = q(1000(1 +1/q^2))

  r(q) = 1000(q + 1/q)

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b) The derivative is ...

  r'(q) = 1000(1 -1/q^2)

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c) The derivative evaluated for q=10 is ...

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Answer:

37 mph

Step-by-step explanation:


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Which of the following is a defined term? <br> Plane<br> Point<br> Line<br> Angle
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Directions: Number the distances from the shortest to the longest: 1 being the shortest distance and 5 being the longest. Justif
sleet_krkn [62]

Answer: Number the distances from the shortest to the longest:

1. Hoboken, New Jersey, to New York City is 659,831 cm

2. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

3. Orlando, Florida, to Tampa, Florida, is 446,160 feet

4. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

5. Dallas, Texas, to Houston, Texas, is 385 km


Solution:

To compare, all the distances must be in the same unit, for example feet.


a. Dallas, Texas, to Houston, Texas, is 385 km

We must transform from km to feet:

385 km * (1,000 m / 1 km) * (100 cm / 1 m) * ( 1 in / 2.54 cm) * ( 1 feet / 12 in)=

(385*1,000*100*1*1)/(1*1*2.54*12) feet =

38,500,000/30.48 feet =

1,263,123.359 feet =

1,263,123 feet


b. Hoboken, New Jersey, to New York City is 659,831 cm

We must transform cm to feet:

659,831 cm * ( 1 in / 2.54 cm) * ( 1 feet / 12 in)=

(659,831*1*1)/(2.54*12) feet =

659,831/30.48 feet =

21,647.99868 feet =

21,648 feet


c. Orlando, Florida, to Tampa, Florida, is 446,160 feet


d. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

We must transform from inches to feet:

2,521,728 inches * ( 1 feet / 12 inches) =

(2,521,728*1) / 12 feet =

2,521,728/12 feet =

210,144 feet


e. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

We must transform from yards to feet:

161,920 yards * (3 feet / 1 yard) =

(161,920*3)/1 feet =

485,763 feet


Ordering the values in feet from the shortest to the longest:

21,648 feet < 210,144 feet < 446,160 feet < 485,763 feet < 1,263,123 feet


With the original units:

659,831 cm < 2,521,728 inches < 446,160 feet < 161,920 yards < 385 km


Then the order is:


1. Hoboken, New Jersey, to New York City is 659,831 cm

2. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

3. Orlando, Florida, to Tampa, Florida, is 446,160 feet

4. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

5. Dallas, Texas, to Houston, Texas, is 385 km

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