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lana66690 [7]
3 years ago
14

Can someone help me with these questions?

Mathematics
1 answer:
vfiekz [6]3 years ago
4 0
Y/x = 9/12 = 3/4
so
y = (3/4)x . . . . . . both x and y in dollars.
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Determine the time necessary for P dollars to double when it is invested at interest rate r compounded annually, monthly, daily,
kipiarov [429]

9514 1404 393

Answer:

  • annually: 9.01 years
  • monthly: 8.69 years
  • daily: 8.67 years
  • continuously: 8.66 years

Step-by-step explanation:

For interest compounded in discrete intervals, the formula is ...

  A = P(1 +r/n)^(nt)

We want to find t for P=1 and A=2, so we have ...

  2 = (1 +r/n)^(nt)

  ln(2) = nt·ln(1+r/n)

  t = ln(2)/(n·ln(1+r/n))

A table of values for r=0.08 is attached.

__

For continuous compounding, the formula is ...

  A = Pe^(rt)

  t = ln(A/P)/r = ln(2)/0.08 ≈ 8.66434 . . . . years

__

  • annually: 9.01 years
  • monthly: 8.69 years
  • daily: 8.67 years
  • continuously: 8.66 years

5 0
2 years ago
Solve each system of equations by substitution. <br> 2x + 2y = 3 x - 4y = -1
Shtirlitz [24]

Step-by-step explanation:

2x + 2y = 3 ( x2 for everything in the equation)

x - 4y = -1

4x+ 4y = 6

x - 4y = -1

Add the 1st line to the 2nd line to get rid of the y:

5x = 5

x - 4y = -1  ( you can pick any line from this system to be the second equation in this step, you can put 2x + 2y = 3 or 4x+ 4y = 6, anything above this step, but to make it simple chose the one you think is the easiest)

Solve for x, then plug the x value into the 2nd equation

x = 1

1 - 4y = -1

x = 1

-4y = -2 =) y = 1/2

x = 1

y= 1/2

4 0
4 years ago
An international company has 13,600 employees in one country. If this represents 19.3% of the company's employees, how many empl
user100 [1]
Hi there! To solve this question, we can write and solve a proportion. Let’s set it up like this: 13,600/x = 19.3/100. We do this, because we’re looking for the total amount of people, which would be the whole. We already have the part. Cross multiply the values in order to get 1,360,000 = 19.3x. Now, divide each side by 19.3 to isolate the variable. When you do, you get x is approx. 70,466.3212 or 70,466 when rounded to the nearest whole number. Plus, you can’t have a fraction of a person, anyway. The company has a total of 70,466 employees.
4 0
3 years ago
I don't understand the concept of how to fine the answer ??
igor_vitrenko [27]
You need to find out how many pints are in 2,4,6,8 quarts. by the way 1 quart equals 2 pints. so to start you off. 2 quarts would be 4 pints and so on
4 0
3 years ago
If Dave runs 1.8 kilometers in the 15 minutes, what is his average rate
sladkih [1.3K]

Answer:

.12 km/min.

Step-by-step explanation:

1.8 kilometers / 15 minutes = .12 kilometers per minute

3 0
3 years ago
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