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2 years ago

Find the distance between (6, -7), (3, -5) round your answer to the nearest tenth

Mathematics

1 answer:

saw5 [17]2 years ago

3 0

Answer:

d ≈ 3.6 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = (6, - 7 ) and (x₂, y₂ ) = (3, - 5 )

d = $\sqrt{(3-6)^2+(-5-(-7))^2}$

= $\sqrt{(-3)^2+(-5+7)^2}$

= $\sqrt{9+2^2}$

= $\sqrt{9+4}$

= $\sqrt{13}$

≈ 3.6 ( to the nearest tenth )

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Which of the following is the interest on $6000 at 6% compounded semiannually for eight years?

ryzh [129]

Answer:

$3628.24

Step-by-step explanation:

we use the formula for accrued value (A) with compounded interest:

$A=P(1+\frac{r}{n})^{n*t}$

where A= accrued value (principal plus the accumulated interest)

P = principal -> in our case $6000

r = annual interest rate (in decimal form) -> in our case 0.06

n = number of compoundings per year. In our case 2 (semiannually)

t = time in years -> in our case 8

$A=P(1+\frac{r}{n})^{n*t}\\A = 6000(1+\frac{0.06}{2})^{16}\\ A= 6000(1+0.03)^{16}\\A = $9628.24$

Since this is the value of principal plus accumulated interest, we subtract from it the principal ($6000) to get the value of just the interest:

$9628.24 - $6000 = $3628.24

4 0

3 years ago

it takes 18 3/8 inches of wood to make a frame for a small picture if Ms Jones has 108 inches of wood how many frames can she ma

scZoUnD [109]

It would make 5 complete frames, and about 8/10 of another frame.
108 / 18.375 = 5.8&*)&^&%*$*
I used a calculator.
You could keep adding 18 and 3/8 over and over again until you get right under 108 if you're good at math like me, but most people would have to add 18 and 3/8 separately.

Thanks, and if you liked my answer, please consider giving me the brainliest answer, because I need 5 of them to get to the next level.

6 0

3 years ago

Read 2 more answers

Question<br> The quotient of a number and 5 has a result of 2. What is the number

a_sh-v [17]

Answer:

Probably 10

Step-by-step explanation:

10/5=2

8 0

3 years ago

In 2010, the population of a town was 8500. The population decreased by 4.5% each year.

Soloha48 [4]

Answer:

This is a problem in exponential decay.

a) If a town's population decreases by 4.5% every year that also means that the town's population decreases by a factor of .955 each year. (1 - .045 = .955)

So, after 5 years, the town's population is:

8,500 * .955^5 which equals 6,752.

So, basically, after t years, the town's population equals

8,500 * .955^t where t is the number of years that have passed since the year 2010.

b) population = 8,500 * .955 ^ (number of years since 2010)

7,000 / 8,500 = .955 ^ (number of years since 2010)

0.8235294118 = .955 ^ (number of years since 2010)

To solve for (number of years since 2010) we take logs of both sides

log (0.8235294118 ) = number of years since 2010 * log(.955)

-0.0843208857 = number of years since 2010 * -0.0199966284

-0.0843208857 / -0.0199966284 = number of years since 2010

4.2167551422 = number of years since 2010

So, population = 7,000 when the year is 2014.2167551422

Or about 2.6 months into 2014

(YES, it's just that "easy") LOL

Step-by-step explanation:

6 0

3 years ago

Find the length of each side.

34kurt

Answer:

16.852

Step-by-step explanation:

All side lengths are the same in an octagon. What you do is take the diamater and multiply it by 0.383. Diamater is the radius doubled.

7 0

3 years ago