Answer:
Apple- 14 Maple- 154
Step-by-step explanation
Since 11 x n - n is equal to a number that ends in 10, 20 etc. and the number has to be a multiple of 11 for the maple tree, and the difference has to stay the same throughout two all we need to find is 15 x n = a number that is divisable by 10. 15 x 10 = 150 so that's the age of the trees this year, and the difference between the trees is 140 so it corresponds with our rule. and the multiple of 11 that the difference is 140 is 11 x 14 = 154 and 154 - 11 = 140. Therefore the apple tree is 14 years old and the maple tree is 154 years old.
Answer:
y=-5/7(x+4)+7
Step-by-step explanation:
D: none of the above
just in case, the answer is 26 miles, and you need to use the Pythagorean theorem
Answer:
Step-by-step explanation:
You have the formula written correctly, so now we just need to fill it in with what we have. Our principle, or initial investment, is 21,000; our interest rate of 4.6% as a decimal (always as a decimal!) is .046; and our interest earned is 900. We need to find t. Setting up with what we have:
21000(.046)(t) = 900 and
966t = 900 and
t = .931 years
.9 of a year is the same as 10.8 months or so.
Answer:
To hit the ground, it will take the watch:
Step-by-step explanation:
Making use of the provided equation:
- <u>h (t) = - 16t ^ 2 + initial height
</u>
Which can be modified specifically for this case:
- <u>h (t) = - 16t ^ 2 + 6400 feet.
</u>
Time must be replaced a certain number of times until the value is zero, this can be done one by one, but since it would be too many iterations I will show you some examples and what you could deduce in each case.
<em>With t = 1 second:
</em>
- h (1) = - 16 (1) ^ 2 + 6400 feet = 6384 feet (only the watch has dropped 16 feet)
<em>With t = 7 seconds:
</em>
- h (7) = - 16 (7) ^ 2 + 6400 feet = 5616 feet (has fallen 784 feet)
<em>With h = 15 seconds:
</em>
- h (15) = - 16 (15) ^ 2 + 6400 ft = 2800 feet (3600 ft has fallen, it is not long)
<em>With h = 21 seconds:
</em>
- h (21) = - 16 (21) ^ 2 + 6400 feet = -656 feet (When obtaining a negative number, it is understood that the time was too long, therefore a shorter time must be taken)
<em>With h = 20 seconds:
</em>
- <u>h (20) = - 16 (20) ^ 2 + 6400 feet = 0 feet
</u>
<u>Since with 20 seconds the exact value of zero is obtained, this time is the exact time it would take the watch to fall to the ground</u>, since when this time is reached the height (h) will be zero, that is, at ground level .
