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2 years ago

A driver education course

Mathematics

1 answer:

Kobotan [32]2 years ago

8 0

Answer:

after 4.5 months (or 5)
$795

Step-by-step explanation:

10% of $100 per month is $10 per month.

1. By saving $10 per month on insurance cost, Dan's savings after 4.5 months will be equal to the $45 cost of his course. (If billing is monthly, he won't experience any net gain from the course until the 5th insurance payment--after 5 months.)

2. In 7 years, the savings on insurance costs will total ...

(7 years)×(12 months/year)×($10 /month) = $840

His cost for the course is $45, so his net saving is ...

$840 -45 = $795 . . . net saving by age 25

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Answer:

Step-by-step explanation:

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Natali [406]

Two angles are said to be supplementary if their sum is 180 degrees. So, if x and y are supplementary angles, the formula is

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2 years ago

Find the common difference of the arithmetic sequence, the next three terms, the equation, and the term given for 8, 10, 12, 14

fredd [130]

Answer:

see explanation

Step-by-step explanation:

In an arithmetic sequence the common difference d is

d = a₂ - a₁ = 10 - 8 = 2

To obtain the next term in the sequence add d to the previous term, that is

a₅ = 14 + 2 = 16

a₆ = 16 + 2 = 18

a₇ = 18 + 2 = 20

The next 3 terms in the sequence are 16, 18, 20

The n th term equation for an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

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2 years ago

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2 years ago

You gave your little sister a good push on a swing and it made an arc of 12 ft. On the third swing it made an arc of 8.67 ft. Ho

jonny [76]

10.2 ft Ans.

We solve this using geometric series.

A1 = 12 ft
A2 = ?
A3 = 8.67ft
Now, for geomteric progression,

$\frac{A1}{A2} = \frac{A2}{A3} 

$

$\frac{12}{A2} = \frac{A2}{8.67}$

$A2 * A2 = (A2)^{2} = \sqrt{12 * 8.67 }$

A2 = 10.2 ft

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3 years ago