Erica bought a car for $24,000. She had to add Pennsylvania’s sales tax of 6%. The total price of the car is closest to?

Find the distance between (-8,7) and (13,-1)

grin007 [14]

Answer:

22.4722

Step-by-step explanation:

To answer this question we need to use the distance formula. The distance formula is as follows:

$d = \sqrt{(x2 - x1)^2+(y2 - y1)^2}$

Now, let's identify what each variable is:

x2 = 13

x1 = -8

y2 = -1

y1 = 7

Next, let's put these into the equation:

$d = \sqrt{(13 - (-8))^2 + (-1 -7)^2}$

Time to solve the equation:

$d = \sqrt{(21)^2+(-8)^2} \\d = \sqrt{441 + 64} \\d = \sqrt{505} \\d = 22.4722$

Therefore, the distance between the points of (-8,7) and (13,1) is 22.4722.

<em>I hope this helps!!</em>

6 0

2 years ago

Please help me. This is real confusing.

katrin2010 [14]

Answer:

1st problem: b) $A=2500(1.01)^{12t}$

2nd problem: c) $A=2500e^{.12t}$

Step-by-step explanation:

1st problem:

The formula/equation you want to use is:

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

where

t=number of years

A=amount he will owe in t years

P=principal (initial amount)

r=rate

n=number of times the interest is compounded per year t.

We are given:

P=2500

r=12%=.12

n=12 (since there are 12 months in a year and the interest is being compounded per month)

$A=2500(1+\frac{.12}{12})^{12t}$

Time to clean up the inside of the ( ).

$A=2500(1+.01)^{12t}$

$A=2500(1.01)^{12t}$

----------------------------------------------------

2nd Problem:

Compounded continuously problems use base as e.

$A=Pe^{rt}$

P is still the principal

r is still the rate

t is still the number of years

A is still the amount.

You are given:

P=2500

r=12%=.12

Let's plug that information in:

$A=2500e^{.12t}$ .

6 0

2 years ago

At a carnival, it costs $0.30 for each chance to throw a ring over a bottle to win a prize. If Anita and Jerome get an even amou

spin [16.1K]

Answer:

c - amount of chances

Step-by-step explanation:

0.30c + 0.30c = 3.60

0.60c = 3.60

c = 6

They will get 6 throws each.

3 0

2 years ago

Define and name two pairs of corresponding angles

Inga [223]

Answer:

2 corresponding to 6

3 corresponding to 7

Step-by-step explanation:

Corresponding angles just make the letter F

4 0

2 years ago

Doogle drove 30 and one-third miles toward his brother's house in one-third of an hour. About how long will the entire 100-mile

Olenka [21]

Answer:

$1\frac{9}{91}\ hours$

Step-by-step explanation:

we know that

30 and one-third miles is equal to

$30\frac{1}{3}\ mi=\frac{30*3+1}{3}=\frac{91}{3}\ mi$

one-third of an hour is equal to

$\frac{1}{3}\ h$

Applying proportion

$\frac{(1/3)}{(91/3)}\frac{h}{mi}=\frac{x}{100}\frac{h}{mi}\\ \\x=\frac{100}{91}\ h$

Convert to mixed number

$\frac{100}{91}\ h=\frac{91}{91}+\frac{9}{91}=1\frac{9}{91}\ h$

8 0

3 years ago

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