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3 years ago

11

Stacia bought an unlocked iPhone for $289. The tax was 8.5%. What was the total cost of the phone? How did you arrive at your an

swer?

1 answer:

Ivan3 years ago

7 0

The answer is 313.56 because 289 + (8.5%=24.65)=313.56

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Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tac

Brums [2.3K]

Answer: The population will be 408,000 people.

Step-by-step explanation:

So in 2000 there were 200,000 people and it started to grow 8% every year so up to 2013.

so find 8% of 200,000 and then multiply it by the the number of years.

8% * 200,000 = 16,000

Find the difference between the years.

2013 - 2000 = 13 years

13 * 16000 = 208000 This is the amount of new people from 2000 to 2013 so add it to the original population.

208,000 + 200,000 = 408,000

5 0

3 years ago

Write the standard form of the equation of the circle with the given characteristics. Center: (3, 5); Solution point: (−2, 17)

Angelina_Jolie [31]

$\text{we know that the general equation of the circle is }\\
\\
(x-h)^2+(y-k)^2=r^2\\
\\
\text{where, (h,k) is the center of the circle and r is the radius.}\\
\\
\text{Given that the centered of the circle is at }(h,k)=(3,5)\\
\text{and a solution point on circle is (-2,17).}\\
\\
\text{so the radius of the circle will be the distance between center and the }$

$\text{solution point. so using the distance formula, we have}\\
\\
\text{Radius, }r=\sqrt{(-2-3)^2+(17-5)^2}\\
\\
\Rightarrow r=\sqrt{25+144}\\
\\
\Rightarrow r=\sqrt{169}\\
\\
\Rightarrow r=13\\
\\
\text{Hence using the standard for of circle, equation of circle with center}\\
(h,k)=(3,5) \text{ and radius r=13 is}\\
\\
(x-3)^2+(y-5)^2=(13)^2\\
\\
\Rightarrow (x-3)^2+(y-5)^2=169$

3 0

3 years ago

Find the missing number in this proportion

podryga [215]

Answer:

36

Step-by-step explanation:

Cross multiply

27 x 16 all divided by 12 =36

5 0

3 years ago

Simplify the variable expression by evaluating it's numerical part m-13+42-6

goldfiish [28.3K]

ANSWER

$m + 23$

EXPLANATION

The given expression is

$m - 13 + 42 - 6$

We regroup the numerical parts to get;

$m + 42 - 6 - 13$

Now let us simplify the negative numbers.

$m + 42 - 19$

We now subtract 19 from 42 to get;

$m + 23$

We can't simplify further

Hence the simplest form is:

$m + 23$

3 0

3 years ago

Paid 35.50 with 35% off what is original price

dusya [7]

47.93 is the answer because multiplication and addition

3 0

3 years ago