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laila [671]
3 years ago
10

A certain type of conifer hedging increases in height by 17% each year for the first 20 years.When i bought some of this hedging

, it was all about 50cm tall. How long will it take to grow 3m tall?
Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0

Answer:

17.25 years

Step-by-step explanation:

A certain type of conifer hedging increases in height by 17% each year for the first 20 years.When i bought some of this hedging, it was all about 50cm tall. How long will it take to grow 3m tall?

Step 1

We make sure all parameters have the same units, hence:

We convert 3m to cm

1 m = 100cm

3m = x

Cross Multiply

x = 3 × 100cm

x = 300cm

Step 2

To solve this question, we use the formula for Exponential growth =

y = a (1 + r) ^t

Where:

y = Size after time t = 3m = 300cm

a = Initial size of the tree = 20 cm

r = Growth rate = 17%

t = Time in years = ??

300 = 20 (1 + 0.17)^t

300 = 20(1.17) ^t

Divide both sides by 20

300/20 = 20(1.17) ^t/20

15 = 1.17^t

Take the Natural logarithm of both sides

In 15 = 1n 1.17^t

In 15 = t 1n 1.17

t = In 15/In 1.17

t = 17.248315544 years

Approximately = 17.25 years

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Thomas buys a cardboard sheet that is 8 by 12 inches. Let x be the side length of each cutout. Using complete sentences, explain
jasenka [17]

Answer: V = (12in - 2*x)*(8 in - 2*x)*x

Step-by-step explanation:

So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.

Remember that for a box of length L, width W and height H, the volume is:

V = L*W*H

In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:

L = 12 in - 2*x

For the width we have a similar case:

W = 8in - 2*x

And te height of the box will be equal to x, then:

H = x

This means that the volume is:

V = (12in - 2*x)*(8 in - 2*x)*x

Here we can see the connection between the cutout and the volume of the box

7 0
3 years ago
Consider the toss of four coins. There are 16 (i.e., 24) possible outcomesin one toss. (a)Calculate the probabilities that there
lana [24]

Answer:

See answers below

Step-by-step explanation:

If 4 coins are tossed. the total possible outcomes are;

H H H H , H H H T, H H T H, H T H H, T H H H , H H T T, H T T H, T T H H, H T H T, T H T H, T H H T , H T T T, T H T T, T T H T, T T T H  and T T T T

Total outcomes = 16

1) zero head = T T T T = 1 outcome

Probability = Expected/Total outcome

Pr(zero head) = 1/16

2) one head = H T T T, T H T T, T T H T, T T T H   = 4 outcomes

Probability = Expected/Total outcome

Probability = 4/16

Pr(one head) = 1/4

3) two heads = H H T T, H T T H, T T H H, H T H T, T H T H, T H H T   = 6 outcomes

Probability = Expected/Total outcome

Pr(two head) = 6/16

Pr(two head) = 3/8

4)  three heads = H H H T, H H T H, H T H H, T H H H   = 4 outcomes

Probability = Expected/Total outcome

Pr(three heads) = 4/16

Pr(two head) = 1/4

5) four heads appearing on the four coins =  H H H H = 1 outcome

Pr(four heads) = 1/16

6 0
3 years ago
AYOOO PLZ HELP ASAP!!!
tamaranim1 [39]

Answer:

B.

Step-by-step explanation:

Well we know that

224=2^{5} *7

so we can get the 2 outside of the radical

x^{11} =(x^{5} )^{2} *x

and we can get the x^2 outside too.

y^8=y^5*y^3

and we also can get y outside.

so we have:

2x^{2}y\sqrt[5]{7xy^3}

7 0
3 years ago
Brainliest 4 whoever can tell me the correct answer to this question
Montano1993 [528]
If you explain what I’m doing I might be able to help
7 0
2 years ago
Can someone answer these question pls
Firdavs [7]
Y= 12 because anything to the 0 power is 1 so 4*1=4 * 3=12
6 0
3 years ago
Read 2 more answers
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