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3 years ago

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Over the last 50 years, the average cost of a car has increased by a total of 1,094%. If the average cost of a car today is $31,

918, how much was the average cost 50 years ago

1 answer:

krek1111 [17]3 years ago

3 0

Answer:

$2673

Step-by-step explanation:

Let x represent average cost of car 50 years ago.

We have been given that over the last 50 years, the average cost of a car has increased by a total of 1,094%. The average cost of a car today is $31,918. We are asked to find the average cost 50 years ago.

We can represent our given information in an equation as:

$x+1,094\%\text{ of } x=\$31,918$

$x+\frac{1,094}{100}* x=\$31,918$

$x+10.94x=\$31,918$

$11.94x=\$31,918$

$\frac{11.94x}{11.94}=\frac{\$31,918}{11.94}$

$x=\$2673.1993299$

$x\approx \$2673$

Therefore, the average cost of the car 50 years ago was $2673.

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Eva8 [605]

Answer:

10

Step-by-step explanation:

Substitute n for 10, 11 and 13

45 - 10 = 35

45 - 11 = 34

45 - 12 = 33

The answer is ten because when substituting n for 10, the equation

35 = 45 - 10

is true

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2 years ago

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The weather forecast for the weekend is a 34% chance of rain for Saturday and a 32% chance of rain for Sunday. If we assume that

kaheart [24]

Answer:

$P( A \cap B) = P(A) *P(B) = 0.34*0.32 = 0.1088$

And then replacing in the total probability formula we got:

$P(A \cup B) = 0.34+0.32 - 0.1088 = 0.5512$

And rounded we got $P(A \cup B ) = 0.551$

That represent the probability that it rains over the weekend (either Saturday or Sunday)

Step-by-step explanation:

We can define the following notaton for the events:

A = It rains over the Saturday

B = It rains over the Sunday

We have the probabilities for these two events given:

$P(A) = 0.34 , P(B) = 0.32$

And we are interested on the probability that it rains over the weekend (either Saturday or Sunday), so we want to find this probability:

$P(A \cup B)$

And for this case we can use the total probability rule given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

And since we are assuming the events independent we can find the probability of intersection like this:

$P( A \cap B) = P(A) *P(B) = 0.34*0.32 = 0.1088$

And then replacing in the total probability formula we got:

$P(A \cup B) = 0.34+0.32 - 0.1088 = 0.5512$

And rounded we got $P(A \cup B ) = 0.551$

That represent the probability that it rains over the weekend (either Saturday or Sunday)

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3 years ago

|5x|-2=18 helps love this problem please help

drek231 [11]

Answer:

x = 4

Step-by-step explanation:

The absolute value of 5x is still 5x.

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Add 2 to both sides

5x = 20

Divide both sides by 5

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3 years ago

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John bought a car for $65.000. If the value depreciates by 8% each year,how much will the car be worth at the end of two years?

earnstyle [38]

Answer:

$546000

Step-by-step explanation:

($65000×8%)(2)

7 0

3 years ago

Simplify LaTeX: \Large\frac{-4^{6} \cdot 4^{2}}{4^{4}}

Oksanka [162]

⇨ The value of this <u>simplified expression</u> = -4096/1 or -4096.

<h3> </h3>

To solve this expression, just multiply the power base by how many times indicate the exponent, and then divide the numerator and denominator of the fraction by the same number.

Power or potentiation is a multiplication in equal factors, where there are <em>terms responsible</em> for obtaining the final result. An potency is given by $\large \sf a^{n}.$ The terms of a power are:

<h3> </h3>

Base
Exponent
equal factors
power

<h3> </h3>

✏️ <u>Resolution/Answer</u>:

$\\ \large \sf \dfrac{-4^{6} \cdot 4^{2}}{4^{4}}=\\\\$

Multiply the powers of the numbers at numerator of the fraction, with the base <em>being multiplied by how many times</em> to indicate the exponent.

$\\\large \sf \dfrac{-4^{6} \cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-4\cdot4\cdot4\cdot4\cdot4\cdot4\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-4\cdot4\cdot4\cdot4\cdot16\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-4\cdot4\cdot16\cdot16\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 4\cdot4}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4^{4}}=\\\\$

<em>Multiply </em>the power at denominator of the fraction:

$\\\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4\cdot4}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{16}=\\\\$

<em>Multiply </em>the numerator numbers together:

$\\\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{16}=$

$\large \sf \dfrac{-16\cdot16\cdot 256 }{16}=$

$\large \sf \dfrac{-256\cdot 256 }{16}=$

$\large \sf \dfrac{- 65536 }{16}=\\\\$

Simplify the fraction by number 16:

$\\\large \sf \dfrac{- 65536 }{16}=$

$\large \sf \dfrac{- 65536 \div16}{16\div16}=$

${\orange{\boxed{\boxed{\pink {\large \displaystyle \sf { \frac{-4096}{1} \ or \ -4096 }}}}}} \\\\\\$

So this expression in its simplified form = -4096/1 or -4096.

${\orange{\boxed{\boxed{\pink {\large \displaystyle \sf { \frac{-4096}{1} \ or \ -4096 }}}}}}\\\\$

★ Hope this helps! ❤️

6 0

2 years ago