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Elden [556K]
3 years ago
9

The expression for the amount of money earned on a savings account compounded quarterly is given by the expression x(1.1)^4t, wh

ere x represents the principal and t is the time in years since the principal was invested. Which expression is the equivalent form of the given expression and shows the amount earned when the interest is compounded half- yearly?
A. x(1.4641)^t

B. x(1.4641)^2t

C. x(1.21)^t

D. x(1.21)^2t
Mathematics
1 answer:
posledela3 years ago
4 0
Selection D is the equivalent form of the given expression.


_____
The nominal annual interest rate in this problem is 40%. If it were compounded half-yearly, the formula would be x(1.2)^(2t) or x(1.44)^t. Apparently, this problem is more concerned with the equivalent form of the expression than it is with half-yearly compounding.
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Hi, can you please help me answer this direct proportion question?
Oksanka [162]

Answer:

X = 100

Step-by-step explanation:

  • In proportion questions, they want you to multiply one of the sides by a variable, (i usually represent it with K) and then change the proportion sign to an equal.
  • This is because proportional means they have a ratio between them, with one side increasing by "k" for each increase in the other side.
  1. Multiply the left by k, so y = \frac{k}{\sqrt{x} }
  2. we know that y= 5, for x = 36, so sub this in the equation
  3. 5 = \frac{k}{\sqrt{36} }
  4. simplify5 = \frac{k}{6 }
  5. re-arrange for k, <u>k = 5*6 = 30</u>
  6. now we know k, we can create the real equation, y = \frac{30}{\sqrt{x} }
  7. sub in 3 as y
  8. 3 = \frac{30}{\sqrt{x} }
  9. <u>x = 100</u>
4 0
2 years ago
In Triangle A B C, what is the value of x? Triangle A B C. Angle A is (10 x minus 10) degrees, angle B is (8 x) degrees, angle C
svp [43]

Answer:

6.5

Step-by-step explanation:

The sum of all angles in a triangle are 180 degrees.

=> 10x -10 + 8x + 10x + 8 = 180

=> 28x -2 = 180

=> 28x = 182

=> x = 6.5

So, Angle A = 10 x 6.5 -10 = 65 - 10 = 55 degrees

     Angle B = 8 x 6.5 = 52 degrees

     Angle C = 10 x 6.5 + 8 = 65 + 8 = 73 degrees.

55 + 52 + 73 = 55 + 125 = 180 degrees

6 0
3 years ago
HELP FAST!!
Vera_Pavlovna [14]

Answer:

\frac{16}{12} =1\frac{1}{3}

1\frac{5}{8}= \frac{13}{8}

3 0
3 years ago
Se compra un auto nuevo por 17900 dólares.El valor del automóvil se deprecia en 12.25% por año.¿cual será el valor del automóvil
jeyben [28]

17,900 x 0.1296 = 2318.05

2318.05 should be subtracted from 17,900 and it should be somewhere around 15,581.95

4 0
3 years ago
A regular hexagon has sides of 2 feet. What is the area of the hexagon?
il63 [147K]

Trigonometry would help with this question.

The area of a regular hexagon is ((3√3)s^2)/2 where s is the side.

Plugging in 2 gives us 6√3 or 10.39 feet.

5 0
3 years ago
Read 2 more answers
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