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A gardener is planting two types of trees: Type A is 7 feet tall and grows at a rate of 10 inches per year. Type B is 4 feet tal

trasher [3.6K]

Answer:

9 years

Step-by-step explanation:

Let the the number of years in which height of both the type of tree is same be n years

Initial length of type A tree = 7 feet

As rate of growth is given in inches to maintain uniformity of measuring unit lets convert feet to inches

1 feet = 12 inches

thus 7 feet = 12*7 inches = 84 inches.

length of type A tree in inches = 84 inches

Rate of growth of type A tree = 10 inches per year

Thus, actual growth of type a tree in "n" years = 10*n = 10n

Total height of type A tree in n years = initial length + growth in n years

= 84 inches+ 10n inches (1)

____________________________________________________

For type B

Initial length of type B tree = 4 feet

As rate of growth is given in inches to maintain uniformity of measuring unit lets convert feet to inches

1 feet = 12 inches

thus 4 feet = 12*4 inches = 48 inches.

length of type B tree in inches = 48 inches

Rate of growth of type A tree = 14 inches per year

Thus, actual growth of type a tree in "n" years = 14*n = 14n

Total height of type b tree in n years = initial length + growth in n years

= 48 inches+ 14n inches (2)

_________________________________

Given condition that after n years height of both the type of tree is same

equation 1 should be equal to equation 2

84 inches+ 10n inches = 48 inches+ 14n inches

=>84 inches - 48 inches = 14n inches - 10n inches

=> 36 inches = 4n inches

=> 36 = 4n

=> n = 36/4 = 9

Thus, after 9 years both of their height will be same which be equal to

84+10*9 = 84 + 90 = 174 inches.

5 0

3 years ago

What is the smaller number -1, 3, 7, 9, or 11.

Vsevolod [243]

Hey there!

<h2>ANSWER: $-1$ </h2><h2>EXPLANATION:</h2>

$\text{What is the smallest number?: -1,3,7,9,11}$

All numbers are positive except -1. If a number is negative, then that negative number will be less than a positive. All are positive and -1 is negative. Since that's the only negative, -1 is the smallest number.

$-1\text{ is the smallest number.}$

Hope this helps!

$\text{Please rate this answer, or mark brainliest, and don't forget to thank!}\\\text{-TestedHyperr}$

6 0

3 years ago

Find the values of x in the figure below. Express your answer in simplest radical form.

swat32

Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

5 0

4 years ago

<img src="https://tex.z-dn.net/?f=y%20%20%3D%202%20x%20%2B%205" id="TexFormula1" title="y = 2 x + 5" alt="y = 2 x + 5" align="

stealth61 [152]

Yes. The lines would insert in quadrant 1. At (1,7)

4 0

3 years ago

Determine the annual percentage rate (APR) for a tax refund anticipation loan based on the following information. (Round to the

loris [4]

Answer:

The correct answer is D. 500%

Step-by-step explanation:

Amount of Loan = $985

Total fees paid = $135

Term of loan = 10 days

First divide the amount of loan by total fees paid :

$=\frac{985}{135}\\\\=0.137$

Now, multiply the result by 365 :

= 0.137 × 365

= 50.03

Divide the result obtained by term of loan that is 10 days :

$=\frac{50.03}{10}\\\\=5.003$

Now, multiply this by 100 to get the final APR :

= 5.003 × 100

= 500%

Hence, The correct answer is D. 500%

7 0

3 years ago