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maxonik [38]
3 years ago
5

The population of a town increases every year by 2% of the population

Mathematics
1 answer:
OLga [1]3 years ago
5 0

Answer:

Step-by-step explanation:

A = Pe^rt

A = 1.4P

r = 0.02

t = ?

e^0.02t = 1.4

ln both sides

0.02t = ln(1.4)

t = ln(1.4)/0.02

t ~ 16.8 years

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vladimir1956 [14]
L=5+2w would be the best answer
7 0
3 years ago
Solve the formula Ax+By=C for y.
Finger [1]

Step-by-step explanation:

Step-by-step explanation:

Ax+By=C

By=C-Ax

y=(C-Ax)/B

6 0
4 years ago
Amy and rob each improve thier yards by pmanting rose bushes and ivy. They brought thier supplies from the same store. Amy spent
Rzqust [24]

Answer: cost of 1 pot of ivy = $12

Cost of 1 rose bush =$ 10

Step-by-step explanation:

Step 1

Let rose bushes be represented as r

and pot of ivy be represented as p

such that Amy who spent 82 dollars on 7 rose bushes and 1 pot of ivy can be expressed as

7 r + p = 82----- eqn 1

Rob who spent 74 on 5 rose bushes and 2 pots of ivy can  be expressed as

5r +2 p = 74----- eqn 2

Step 2

Solving

7 r + p = 82----- eqn 1

5r +2 p = 74----- eqn 2

By elimination method Multiply eqn 1 by 5 and eqn 2 by 7

35r+ 5p= 410--- eqn 3

35r+ 14p =518--- eqn 4

Subtracting eqn 4 from eqn 3

9p = 108

p = 108/9

p=12

p = pot of ivy = $12

therefore rose bush  wll be ( from equation 1)

7r+ p= 82

7r=82-12

7r= 70 r= 70/7

r= rose bush =$ 10

5 0
3 years ago
What is the length of the unknown side?
Luba_88 [7]

Answer:

20!

Step-by-step explanation:

8 0
3 years ago
Find g(x), where g(x) is the translation 4 units up of f(x) = x2.
NNADVOKAT [17]

Answer:

g(x)=1(x-0)^{2}+4

Step-by-step explanation:

Given:

The function,f(x)=x^{2}

A standard parabola with vertex at origin is represented as:

f(x)=ax^{2}

The above function is a standard parabola with vertex at origin and opening upward.

The vertex of the above function is at the origin (0,0) and the value of a is 1.

Now, the function is translated 4 units up.

So, from the rule of function transformations, if a graph is moved up by c units, then c units is added to the function.

Therefore,

g(x)=f(x) + 4\\g(x)=x^{2}+4.

Also, the vertex of f(x) will be translated 4 units up. So, the co-ordinates of the vertex of g(x) will be (0,0+4)=(0,4)

Now, express the above function in the vertex form g(x)=a(x-h)^{2}+k.

We have a=1,h=0,k=4

This gives,

g(x)=1(x-0)^{2}+4

7 0
3 years ago
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