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Umnica [9.8K]
3 years ago
10

An automobile manufacturer is preparing a shipment of cars and trucks on a cargo ship that can carry 21600 tons.

Mathematics
2 answers:
LenaWriter [7]3 years ago
6 0

Answer:

5,040 cars

Step-by-step explanation:

Each truck weighs 7.2 tons, and there are already 480 trucks loaded. This means that the cargo ship is currently carrying 3,456 tons.:

480 x 7.2 = 3,456

The limit is 21,600 tons, so 21,600 - 3,456 = 18,144.

Divide the remaining capacity by how much a car weighs:

18,144 / 3.6 = 5,040

lutik1710 [3]3 years ago
6 0

Answer:

Step-by-step explanation:

hello

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Find the doubling time of an investment earning 7% interest if interest is compounded continuously
Alex

Answer:

The doubling time of this investment would be 9.9 years.

Step-by-step explanation:

The appropriate equation for this compound interest is

A = Pe^(rt), where P is the principal, r is the interest rate as a decimal fraction, and t is the elapsed time in years.

If P doubles, then A = 2P

Thus, 2P = Pe^(0.07t)

Dividing both sides by P results in 2 = e^(0.07t)

Take the natural log of both sides:  ln 2 = 0.07t.

Then t = elapsed time = ln 2

                                       --------- = 0.69315/0.07 = 9.9

                                         0.07

The doubling time of this investment would be 9.9 years.

5 0
3 years ago
Given the first term and the common difference find the first five terms and the explicit formula
Zielflug [23.3K]

Answer:

a_{1} = -34,\: a_{2} = -44,\: a_{3} = -54,\: a_{4} = -64,\: a_{5} = -74

____________________________________

a_{n} = -34\:–\:10(n-1)

8 0
3 years ago
The sum is a prime number the sum is less than 4
Liula [17]
The sum is 3 or 1 , 3 is a prime number and 1 is a prime number. But the most reasonable answer/sum is 3
7 0
2 years ago
At Information and Communications University: 31 female seniors were on the dean’s list 62 women were on the dean’s list who wer
inessss [21]

Step-by-step explanation:

There's a lot of information here, so first things first, let's get organized.

Let's start by assigning variable names to each group.  We want the variables to be short but easy to understand.

For example, let's say the number of female seniors on the dean's list is FSD (F for female, S for senior, and D for dean's list).

FSD = 31

Sticking to this naming scheme:

FD = 62

MSD = 45

FS = 87

MS = 96

F = 275

MD = 88

M = 227

Now we can begin.

a) We want to know how many seniors there are.  So all we have to do is add up all the variables with an S in them.

FSD + MSD + FS + MS

31 + 45 + 87 + 96

259

b) We want to know how many women there are.  So add up all the variables with an F in them.

FSD + FD + FS + F

31 + 62 + 87 + 275

455

c) We want to know how many are on the dean's list.  So add up all the variables with a D in them.

FSD + FD + MSD + MD

31 + 62 + 45 + 88

226

d) Now we want to know how many are seniors AND on the dean's list.  So add up all the variables that have both an S and a D.

FSD + MSD

31 + 45

76

e) We want to know how many female seniors there are, so add up all the variables with both an F and an S.

FSD + FS

31 + 87

118

f) We want to know how many women were on the dean's list, so add up all the variables with both an F and a D.

FSD + FD

31 + 62

93

g) Finally, we want to know how many students there are total.  So add up all the variables.

FSD + FD + MSD + FS + MS + F + MD + M

62 + 45 + 87 + 96 + 275 + 88 + 227

880

5 0
3 years ago
The _______________ of 25 equals 5. *
Fittoniya [83]
Square root.

5^2 = 25 so sqrt25 = 5
8 0
2 years ago
Read 2 more answers
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