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3 years ago

14

It is 2 miles from Ellie’s house to school, 1 mile = 5280 feet. How many feet is it from Ellie’s house to school ?

1 answer:

Lana71 [14]3 years ago

8 0

This is a conversion problem. We know that 1 mile is 5280 feet, right? Since Ellie lives 2 miles, and two is double of 1, we just take 5280 and multiply that by two (or add it twice) to find how many feet is between Ellie's house and school. 5280 x 2 = 10560 (you get the same answer if you add 5280 twice). Therefore, 10560 feet lies between Ellie's house and school.

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A car is traveling at a steady speed. It travels 1 and one half

OLga [1]

Step-by-step explanation:

1.5 mi = 2 and 1/4 min

In 43 minutes:

43 ÷ 2.15 = 20 2.15 = 2 and 1/4 min

Now you have to multiply 1.5 by 20

1.5 x 20 = 30

In 1 hour (60 minutes):

60 ÷ 2.15 = 27.9

Now you have to multiply 1.5 by 27.9

1.5 x 27.9 = 41.85

Hope this was helpful :)

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3 years ago

Leo's bank balances at the end of months 1, 2, and 3 are $1500, $1530, and $1560.60,

grandymaker [24]

Leo's balance after 9 months will be: $1757.49

Step-by-step explanation:

It is given that the balances follow a geometric sequence

First of all, we have to find the common ratio

Here

$a_1 = 1500\\a_2 = 1530\\a_3 = 1560.60$

Common ratio is:

$r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02$

So r = 1.02

The general form for geometric sequence is:

$a_n = a_1r^{n-1}$

Putting the first term and r

$a_n = 1500 . (1.02)^{n-1}$

To find the 9th month's balance

Putting n=9

$a_9 = 1500 . (1.02)^{9-1}\\= 1500.(1.02)^8\\=1757.4890$

Rounding off to nearest hundredth

$1757.49

Hence,

Leo's balance after 9 months will be: $1757.49

Keywords: Geometric sequence, balance

Learn more about geometric sequence at:

#LearnwithBrainly

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alexira [117]

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