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Rufina [12.5K]
3 years ago
10

Question 6 of 10

Mathematics
1 answer:
Ann [662]3 years ago
4 0
A d and f are the angles you were
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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
3 years ago
Please help PLEASE HELP
alexdok [17]

Answer:

15. 17.5 ft

16. XZY ~ RPQ only

Step-by-step explanation:

15. The figure shows you the height of the object is 5/6 the length of its shadow. Then the height of the tree will be (5/6)·21 ft = 17 1/2 ft.

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16. Triangles are similar when they have all the same angles. In the given triangles, you have ...

angle X = angle R = 32° . . . . (no corresponding angle in the third triangle)

angle Z = angle P = 64°

angle Y = angle Q = 84°

The triangle vertices need to be named in the order in which they correspond, so we can say, for example, ...

triangle XZY ~ triangle RPQ

5 0
4 years ago
Help on this question pls .... (the question is at the top) I will cashapp you
TEA [102]

Answer:

The sales tax is $59.84.

Step-by-step explanation:

8/100 = 0.08

0.08 * 748 = 59.84

3 0
3 years ago
(Apex!) Select the two values of x that are roots of this equation 3x-5=-2x^2
katovenus [111]

Answer:

B and D

Step-by-step explanation:

Write as a quadratic

-2x² - 3x + 5 = 0

Factor

-2x² - 5x + 2x + 5 = 0

-x(2x + 5) + 1(2x + 5) = 0

(1 - x)(2x + 5) = 0

To make the equation 0, x is either 1 or -5/2.

4 0
3 years ago
What is the length of PR?<br><br> ___ units
ANTONII [103]
I hope this helps you

5 0
3 years ago
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