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yarga [219]
4 years ago
6

A truck can be rented from Company A for ​$100 a day plus ​$0.60 per mile. Company B charges ​$30 a day plus ​$0.80 per mile to

rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Mathematics
1 answer:
Grace [21]4 years ago
4 0

Answer:

80+ 0.3x = 60 + 0.4x

20 = 0.1x

x = 200

Therefore, at 150 miles, the best deal changes companies

Step-by-step explanation:

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2. a. The center for research in data science has a vacancy of 5 interns under a research attachment program. However, 20 studen
Yuliya22 [10]

Answer:  15504

Step-by-step explanation:

Given : The center for research in data science has a vacancy of 5 interns under a research attachment program.

Number of students applied = 20

The combination of n people taking r at a time is given by :-

C(n,r)=\dfrac{n!}{r!(n-r)!}

Since, all students fulfill the minimum CGPA criteria it means all 20 students are equally eligible.

Then , the number of ways to select a team of 5 interns from all 20 interns :-

C(20,5)=\dfrac{20!}{5!(20-5)!}\\\\=\dfrac{20\times19\times18\times17\times16\times15!}{5!15!}\\\\=15504

Hence, the number of ways to select a team of 5 interns. =  

7 0
4 years ago
An angle that measures 48° is called
zvonat [6]
Any angle that measures less than 90 degree is known as "Acute angle"

In short, Your Answer would be: "Acute Angle"

Hope this helps!
3 0
4 years ago
Read 2 more answers
a triangle has a perimeter of 49 inches. the medium side is 7 more than the short side, and the longest side is 5 times the leng
slavikrds [6]
Short side length = x
Medium side = x + 7
Long side = 5x
Total 49, so
x + x + 7 + 5x = 49
If you combine like terms:
7x + 7 = 49
Subtract 7 from both sides
7x = 42
Divide both sides by 7
x = 6 inches
4 0
3 years ago
Read 2 more answers
$800 is deposited in an account
Sergeeva-Olga [200]

Answer:

The balance after four years is $1129.27

Step-by-step explanation:

The formula for compound interest, including principal sum, is A=P(1+\frac{r}{n})^{nt}

  • A = the future value of the investment/loan, including interest
  • P = the principal investment amount (the initial deposit or loan amount)
  • r = the annual interest rate (decimal)
  • n = the number of times that interest is compounded per unit t
  • t = the time the money is invested or borrowed for

∵ $800 is deposited in an account

∴ P = 800

∵ The account pays 9% annual interest

∴ r = 9% = 9 ÷ 100 = 0.09

∵ The interest is compounded annually

∴ n = 1

∵ The time is 4 years

∴ t = 4

- Substitute the values of P, r, n, and t in the formula above

∵ A=800(1+\frac{0.09}{1})^{(1)(4)}

∴ A=800(1.09)^{4}

∴ A = 1129.265

∴ The balance after four years is $1129.27

8 0
3 years ago
Pls help 50 points and brainliest
daser333 [38]

Answer:

variable equation = 9h = 72

regular equation= 72/9=8

8 slices per pizza

Step-by-step explanation:

8 0
2 years ago
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