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Elina [12.6K]
2 years ago
5

In a cave, a stalactite gets 44 millimeters longer each year. this year it is 72 centimeters long. how many years until it is 1

meter long?
Mathematics
1 answer:
iragen [17]2 years ago
7 0

Answer:

6.36 years (the .36 repeats), so rounded is 6.4.

Step-by-step explanation:

First, I'm going to convert all measurements to meters.

Since 1000 mm = 1 m, divide 44 by 1000.

44/1000 = 0.044 m

Since 100 cm = 1 m, divide 72 by 100.

72/100 = 0.72 m

Next, I'm going to setup an equation using y = mx + b.

b is the beginning amount which is 0.72.

m in the equation represents the rate which is 0.044.

y represents the total which is 1.

Plugin the numbers and solve for x.

1 = 0.044x + 0.72

1 - 0.72 = 0.044x + 0.72 - 0.72

0.28 = 0.044x

0.28/0.044 = 0.044x/0.044

6.36 = x

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Ernest borrowed $1000 from the bank. The interest rate is 30% and he borrowed it for 9 months. How much will he owe the bank?
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The total amount Ernest owes the bank after 9 months is $1,225.00

How many months of interest would be paid?

The fact the loan was taken for nine months means that the borrower, Ernest needs to pay interest for nine months, in other words, we would time-apportion the annual interest of 30% to determine the 9-month interest as shown below:

9-month interest rate=30%*9/12

9-month interest rate=22.50%

The amount Ernest is owing the bank is the principal borrowed plus the interest for  9 months as computed below:

total amount owed after 9 months=$1000*(1+22.50%)

total amount owed after 9 months=$1000*1.2250

total amount owed after 9 months=$1,225.00

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AlekseyPX
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To domain pertains to the x-coordinates, while the range pertains to the y-coordinates.

Looking at the graph, we can see that the farthest point to the left is (-4,3) and the farthest point to the right is (4,6). Now, we know that the domain is [-4,4].

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