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snow_tiger [21]
3 years ago
11

What happens to the value of the expression 10/d as d increases from a small positive number to a large positive number?

Mathematics
2 answers:
Zepler [3.9K]3 years ago
8 0
The quotient, or resulting number, will decrease.
shtirl [24]3 years ago
6 0

Answer:

simple its decrease

Step-by-step explanation:

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What's the exact value of tan(-4pi/3)
Bumek [7]
Tan(-4pi/3) = 0.0731897502
7 0
3 years ago
steve deposits $1250 in an account paying 3.4% annual interest compounded continously. how long will it take for the account bal
Tomtit [17]

Answer:

It will take 27.19 years

Step-by-step explanation:

Compound continuous interest can be calculated using the formula:

A=Pe^{rt} , where

  • A = the future value of the investment, including interest
  • P = the principal investment amount (the initial amount)
  • r = the interest rate  of interest in decimal
  • t = the time the money is invested for

∵ Steve deposits $1250 in an account

∴ P = 1250

∵ The account paying 3.4% annual interest compounded continuously

∴ r = 3.4%

- Change it to decimal by dividing it by 100

∴ r = 3.4 ÷ 100 = 0.034

∵ The account balance will reach to $3150.5

∴ A = 3150.5

- Substitute The values of A, P and r in the formula above to find t

∵ ​3150.5=1250e^{0.034t}

- Divide both sides by 1250

∴  ​2.5204=e^{0.034t}

- Insert ㏑ to both sides

∴ ​ln(2.5204)=ln[e^{0.034t}]

- Remember that ln(e^{n})=n

∵  ln(e^{0.034t})=0.034t

∴ ​ln(2.5204) = 0.034t

- Divide both sides by 0.034

∴ 27.18875 = t

∴ t ≅ 27.19

It will take 27.19 years

3 0
3 years ago
Which ordered pair in the form(x,y) is a solution of this equation?
Gnom [1K]

The ordered pair is (-2, -3)

Step-by-step explanation:

  • Step 1: To find whether an ordered pair is a solution, substitute values of x and y and see whether it satisfies the equation.

(-3, -2) ⇒ 7 × -3 - 5 × -2 = -21 + 10 = -11 ≠ 1

(-2, -3) ⇒ 7 × -2 - 5 × -3 = -14 + 15 = 1

(0, 4) ⇒ 0 - 5 × 4 = 20 ≠ 1

(4, 0) ⇒ 7 × 4 - 0 = 28 ≠ 1

So the ordered pair is (-2, -3)

8 0
3 years ago
Solve the following equation <br><br>6x-1=3 (2x+4)-1
DIA [1.3K]
6x - 1 = 3(2x + 4) - 1
Distribute
6x - 1 = 6x + 12 - 1
Combine like terms
6x - 1 = 6x + 11
Add 1 and subtract 6x from each side
0 = 12
The equation has no real solution
4 0
3 years ago
Read 2 more answers
Kumar bought some mangoes. The price of each mango () is found to be 6 more than the total number of mangoes bought by him and t
spayn [35]

Answer:

Price = 20, Amount = 14

Step-by-step explanation:

A = Amount of Mangoes

P = Price for 1 Mango

P = A + 6

280 = P * A

insert A+6 for P

280 = (A+6) * A

280 = 6A + A²

280=1*a^2+6*a  | Vertausche beide Seiten der Gleichung.

1*a^2+6*a=280  | quadratische Ergänzung: ergänze auf beiden Seiten (3)^2

1*a^2+6*a+(3)^2=3^2+280  | Rechne 3 hoch 2 aus.

1*a^2+6*a+(3)^2=9+280  | addiere 9 und 280

1*a^2+6*a+(3)^2=9+280  | Fasse die rechte Seite mit Hilfe der binomischen Formel zusammen.

1*(1*a+(3))^2=289  | Auf beiden Seiten Quadratwurzel ziehen.

1*a+(3)=+-*289^0.5  

1*a_1+(3)=289^0.5  

1*a_1+3=289^0.5  | Ziehe die Wurzel aus 289

1*a_1+3=17  | -3

1*a_1=14  

8 0
3 years ago
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