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TEA [102]
3 years ago
10

Jonathan bought a car for $10,500. The car depreciates in value by 16% each year. How much is the

Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
8 0

Answer:

1836.46

Step-by-step explanation:

10500*(84/100)^10=1836.46

Annette [7]3 years ago
7 0

Answer:

Step-by-step explanation:

Value of the car after 10years = 10500*(1 - [16/100]]¹⁰

=10500*(\frac{86}{100})^{10}\\\\=10500*(0.86)^{10}\\\\=10500*0.1749

= $1836.45

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A survey reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of 20 Americans is sele
liq [111]

Answer:

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

5% of Americans are afraid of being alone in a house at night.

This means that p = 0.05

If a random sample of 20 Americans is selected, what is the probability that exactly 3 people in the sample are afraid of being alone at night.

This is P(X = 3) when n = 20. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

5 0
3 years ago
David owns a food truck that sells tacos and burritos. He sells each taco for $4.50 and each burrito for $7.75. Yesterday David
inna [77]
7.75+4.50
Then this equals 12.25 ; You gone want to divide this

519.25 \ 12.25 you get $42.38 or $42.39 if you round.

Or 4.50 x 60 is $270
7.75 x 30 is $232 which is closet to $519.25 which will give u $502.50
3 0
3 years ago
The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is
alexgriva [62]
<h2>Answer:</h2>

<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>

<em>1308 33 cubic millimeters</em>

<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height

While the volume of half a sphere is:

V_{hs}=\frac{2}{3}\pi r^3

Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

V_{s}=\frac{4}{3}\pi r^3

Then, the composite figure is:

V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)

The radius of the cylinder is the same of the radius of each half sphere. So:

r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}

7 0
2 years ago
Difference between mafic intermediate and felsic magmas
Inga [223]

Both are indicators of the chemical composition of silicate minerals, magmas and rocks.

Mafic is used for silicate minerals, magmas and rocks that are composed of heavier elements, like magnesium, iron, calcium and sodium. They are dark and have high specific gravities.

<span>Opposite to the this, felsic silicate minerals, magmas and rocks in their composition have less from these heavy elements. They are composed from silicon, oxygen, aluminium and potassium, are light in color and have lower specific gravities.</span>

8 0
3 years ago
How do we write this in scientific notation?
marusya05 [52]

Answer:

The answer is Sodium chloride.

7 0
2 years ago
Read 2 more answers
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