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3 years ago

You leave a 15% tip on $90. How much money do you leave?

Mathematics

2 answers:

Ivahew [28]3 years ago

6 0

13 dollars and 50 cents.

Nadusha1986 [10]3 years ago

6 0

Answer: $13.50

Step-by-step explanation:

That must have been a good meal bro

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In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per

Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, $P_0=450,000$

Growth rate is, $r=5\%=0.05$

Final population is, $P=700,000$

A population growth is an exponential growth and is modeled by the following function:

$P=P_0(1+r)^x$

Taking log on both sides, we get:

$\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}$

Plug in all the given values and solve for 'x'.

$x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10$

So, for $x > 9.13$ , the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

8 0

2 years ago

The sum of the squares of two consecutive even integers is 884. determine the integers.

Digiron [165]

Answer:

(2x+1)(1) = 84. 2x+1= 84. 2x = 83.

Step-by-step explanation:

5 0

2 years ago

lots of toys were in the swimming pool. the pool had 15 hoops in it. what is the value of each line in the graph?

Volgvan

Each line indicates the amount of a certain object.

We already know that the value of the green line is 15, all that is left to do is find the rest . . .

<u>Values</u>

Red Line: 20

Orange Line: 60

Green Line: 15

turquoise Line: 45

Blue Line: 65

Your welcome :3

3 0

2 years ago

Simplify (6ab3c)(-abc2).

sp2606 [1]

Sorry, I know it's a little late.The answer is -6a^2 b^4 c^3

4 0

2 years ago

I need help X=? angle TGH=?

erastova [34]

Answer:

x = 11

m<TGH = 82

Step-by-step explanation:

m<TGH + m<FGT = m<FGH

6x + 16 + 42 = 11x + 3

6x + 58 = 11x + 3

-5x = -55

x = 11

m<TGH = 6x + 16 = 6(11) + 16 = 82

5 0

3 years ago