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DIA [1.3K]
3 years ago
10

Tara and Michelle are growing trees in their back yard. Tara's tree starts at a height of 10 feet, and grows 4 ft. a year. Miche

lle's tree starts at a height of 7 feet and grows 14% each year. How tall will Michelle's tree be after 12 years? When will Michelle's tree be taller than Tara's tree for the first time?
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
6 0

Answer:

To determine the exponential growth of Michelle's tree at 12 years, taking into account that it measures 7 feet and grows 14% annually, the following calculation must be performed:

X = 7 x (1 + 0.14) 12

X = 33.7

Thus, in 12 years, the height of Michelle's tree will be 33.7 feet. In turn, the tree of Tara will measure 58 feet at the same time.

The first time Michelle's tree surpasses Tara's will be at age 20, when Michelle's tree will measure 96.2 feet (X = 7 x (1 + 0.14) 20), while Tara's tree will measure 90 feet.

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Suppose the required reserve ratio is 20 percent. If banks are conservative and choose not to loan all their excess reserves, th
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Answer:

Option B

Step-by-step explanation:

Given that the required reserve ratio is 20 percent.

Since banks are conservative they choose not to loan all their excess reserves

i.e. only 20% of deposits is kept as reserve and 80% lent.

This 80% will again be deposited in a bank and 80% of 80 i.e.64% would be lent.  Thus this will form a geometric progression infinitely as

deposits = 1+0.8 + 0.8^2 +0.8^3+...with common ratio 0.8<1

Hence infinite sum = \frac{a}{1-r} =\frac{1}{1-0.8} \\=5

So deposit multiplier is B) equal to 5

5 0
3 years ago
Can you help me solve this question, please?
xz_007 [3.2K]
The answer is b because it shows
5 0
3 years ago
Write an equation for the line that has a slope -8/9 and goes through the point (-7, 7)
Jobisdone [24]

Answer:

y = (-8/9)x + 0.77777

Step-by-step explanation:

We already know the slope, so the only thing left to find is the y-intercept.

To find the y-intercept, we can <u>plug in the slope and point to the slope-intercept form equation</u> (y = mx+b, where m=slope and b=y-int.)

y   =     m *  x    + b

(7) = (-8/9)*(-7)   + b

<u>Now, just solve for b!</u>

(7) = (-8/9)*(-7)   + b

7 = 56/9 + b

7 - (56/9) = b

b = 0.777777 (repeating decimal, usually signified by a little line above the 7)

so now we just <u>plug in the slope and y-intercept we found into y = mx + b.</u>

y = mx + b

y = (-8/9)x + 0.77777

5 0
2 years ago
Read 2 more answers
The animal shelter has both male and female Labrador retrievers in yellow, brown, or black. There is and equal number of each ki
Illusion [34]

Answer:

Step-by-step explanation:

There are choices when it comes to color (3). Then there is the choice between a boy dog or a girl dog (2). Multiply the number of colors by the number of genders. (6)

When choosing a dog from random, you can either choose:

Brown/M

Brown/F

Black/M

Black/F

Yellow/M

Yellow/F

(This list is called the Sample Space, a list of all possible outcomes)

Because the text says that all types of dogs are found in even numbers, it would not matter if there was 6, 12, 18, ... amount of dogs.

When looking at this sample space, you can see that the chance of choosing a Yellow/F dog, is 1 in 6.

5 0
2 years ago
4x2 + 8x - 7 - (3x2 - X+9)​
Andreas93 [3]

Answer:

<h2>{x}^{2}  + 9x - 16</h2>

Step-by-step explanation:

4 {x}^{2}  + 8x - 7 - (3 {x}^{2}  - x + 9)

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression:

4 {x}^{2}  + 8x - 7 - 3 {x}^{2}  + x - 9

Collect like terms

4 {x}^{2}  - 3 {x}^{2}  + 8x + x - 7 - 9

{x}^{2}  + 9x - 7 - 9

Calculate

{x}^{2}  + 9x - 16

Hope this helps...

Good luck on your assignment...

5 0
2 years ago
Read 2 more answers
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