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GuDViN [60]
3 years ago
7

Gordon invested $77,000 into a CD compounded quarterly with an annual interest

Mathematics
1 answer:
erastovalidia [21]3 years ago
3 0

Answer:

$135,150.18

Step-by-step explanation:

We're gonna use the quarterly compound interest formula: P = A(1 + r/4)⁴ⁿ

P = final amount (?)

A = starting amount (77,000)

r = rate (0.063)

n = years (9)

P = 77000(1 + 0.063/4)⁴ ˣ ⁹

P = 77000(1 + 0.063/4)³⁶

P = 77000(1.01575)³⁶

P = 77000(1.7551972)

P = 135,150.1844

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Solve: x^+4/x-1 = 5/x-1
AlexFokin [52]
The first step for solving this equation is to determine the defined range.
\frac{ x^{4}  }{x-1} = \frac{5}{x-1}, x ≠ 1
Remember that when the denominators of both fractions are the same,, you need to set the numerators equal. This will look like the following:
x^{4} = 5
Take the root of both sides of the equation and remember to use both positive and negative roots.
x +/- \sqrt[4]{5}
Separate the solutions.
x = \sqrt[4]{5}           , x ≠ 1
x = -\sqrt[4]{5} 
Check if the solution is in the defined range.
x = \sqrt[4]{5} 
x = -\sqrt[4]{5} 
This means that the final solution to your question are the following:
x = \sqrt[4]{5}          
x = -\sqrt[4]{5} 
Let me know if you have any further questions.
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7 0
3 years ago
NEED HELP ASAP Find the value of x. Round to the nearest tenths place. ​
Oliga [24]

Answer:

x = 77.8 ft

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Trigonometry</u>

  • sin∅ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

∅ = 40°

opposite leg of angle = 50 ft

hypotenuse = x ft

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute:                                        sin40° = 50/x
  2. Multiply <em>x </em>on both sides:                 xsin40° = 50
  3. Divide sin40° on both sides:           x = 50/sin40°
  4. Evaluate:                                           x = 77.7862
  5. Round:                                              x = 77.8 ft
6 0
3 years ago
Select the equations that are correct.mark all that apply.
allsm [11]

Answer:

17,550÷65=270  Correct

11,196÷12=933  Correct

11,712÷96=122 Correct

Step-by-step explanation:

17,550÷65=270  Correct

11,196÷12=933  Correct

29,365÷35=677  Incorrect

11,712÷96=122 Correct

4 0
4 years ago
The score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.
Artemon [7]

Answer:

P(X \geq 74) = 0.3707

Step-by-step explanation:

We are given that the score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.

Let X = Score of golfers

So, X ~ N(\mu=73,\sigma^{2}=3^{2})

The z score probability distribution is given by;

           Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 73

           \sigma = standard deviation = 3

So, the probability that the score of golfer is at least 74 is given by = P(X \geq 74)

 P(X \geq 74) = P( \frac{X-\mu}{\sigma} \geq \frac{74-73}{3} ) = P(Z \geq 0.33) = 1 - P(Z < 0.33)

                                               =  1 - 0.62930 = 0.3707                  

Therefore, the probability that the score of golfer is at least 74 is 0.3707 .

3 0
3 years ago
PLZZZZZ HELP ME! :) XDDD
Taya2010 [7]
 In order to figure out what the answer is you would have to divide the number of feet it fell by the time. If you do 35.75 divided by 3.25 it would be 11. 
So the answer most likely would be 11
Please correct me if I am wrong
Have a great day!
4 0
3 years ago
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