Cost of a New Car From 1970 to 1990, the average cost of a new car, C

Mathematics

1 answer:

Lunna [17]3 years ago

3 0

Answer:

In year 1986 the average cost of car is $12,000

Step-by-step explanation:

Cost function:

C = 30.5t² + 4192

Cost = $12,000

Find:

Year

Computation:

C = 30.5t² + 4192

12,000 = 30.5t² + 4192

t = 16 year

So,

Year 1970 + 16 year

1986

So, In year 1986 the average cost of car is $12,000

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the initial price of a home entertainment system is $34,000. It is discounted by 10% and then by a further 26%. Find the price o

maria [59]

The final price of the item is $22,644

The initial discount of 10% leaves the price at 90% of the retail value:
$\frac{x}{34000} = \frac{90}{100}$
cross multiply to solve for x:
100x = 3,060,000
x = 30,600
This new price is then discounted 26%, which means the final price is 74% of $30,600:
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cross multiply to solve for x:
100x = 2,264,400
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The final price of the home entertainment system is $22,644

8 0

3 years ago

Kate runs 2/3 of a mile on Mondays, Wednesday's and Thursdays. She runs 4/5 of a mile on Tuesday and Fridays. How many miles doe

padilas [110]

Answer:

Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.

Step-by-step explanation:

We know that Kate runs 2/3 of a mile on Mondays, Wednesdays and Thursdays. She runs 4/5 of a mile on Tuesday and Fridays. We calculate how many miles does Kate run during the week.

Therefore, we get

$\frac{2}{3}+\frac{4}{5}=\frac{10+12}{15}=\frac{22}{15}=1+\frac{7}{15}$