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IgorC [24]
2 years ago
9

Write the exponential equation for this scenario. Georgiana invests $3000.00 in a CD. The CD earns 10% annual interest. How much

would Georgiana's investment be worth after 30 years?
​
Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
5 0

Answer:

The exponential equation is;

F = 30,000(1.01)^30

The value is;

$40,435.50

Step-by-step explanation:

Here, we are to write an exponential equation

Exponential equations generally take the form;

F = I(1 + r)^t

where F is the future value

I is the initial value

r is the growth percentage

t is the time

with respect to the question;

F = ?

I = 3,000

t = 30

r = 10% = 10/100 = 0.1

Writing the equation, we have

F = 30,000(1.+ 0.1)^30

F = 30,000(1.01)^30

F = $40,435.50

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What 2 numbers multiply to be -14 and add to be -3
Svetach [21]
Xy = -14
x + y = -3

xy = -14
\frac{xy}{x} = \frac{-14}{x}
y = \frac{-14}{x}

x + y = -3
x + \frac{-14}{x} = -3
\frac{x^{2}}{x} + \frac{-14}{x} = -3
\frac{x^{2} - 14}{x} = -3
x^{2} - 14 = -3x
x^{2} + 3x - 14 = 0
x = \frac{-(3) \± \sqrt{(3)^{2} - 4(1)(-14)}}{2(1)}
x = \frac{-3 \± \sqrt{9 + 56}}{2}
x = \frac{-3 \± \sqrt{65}}{2}
x = \frac{-3 \± 8.06}{2}
x = -1.5 \± 4.03
x = -1.5 + 4.03    or    x = -1.5 - 4.03
x = 2.53    or    x = -5.53

        x + y = -3
   2.53 + y = -3
 - 2.53         - 2.53
              y = -5.53
        (x, y) = (2.53, -5.53)
         
         x + y = -3
  -5.53 + y = -3
+ 5.53         + 5.53
              y = 2.53
        (x, y) = (-5.53, 2.53)

The two numbers that multiply to -14 and add up to -3 are -5.53 and 2.53.
8 0
3 years ago
What does X equal??<br> Help quick
vagabundo [1.1K]
Correct Answer: x=17
7 0
3 years ago
Simplify: 4x + 6(3x - 2)<br> A) 10x - 12 <br> B) 18x - 12 <br> C) 22x - 12 <br> D) 30x2 - 20x
alekssr [168]
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4 0
3 years ago
Please answer!! I tried doing it myself and it didn’t work. Again pls answer! Rewards are 20 points
Damm [24]

Answer:-45

Step-by-step explanation:this is how I do it: draw a line in the middle of the equal sign. Now its split in two parts. Do the opposite operation on the left side, so minus 6 from the left AND the right. Now it equals to y/3 = -15. Now times each side by 3 so the y stands alone. -15 times 3 equals -45. Y = -45. Sorry it's kinda hard to explain!

4 0
3 years ago
Read 2 more answers
Maria has gotten scores of 75, 77, 81 and 84 (out of a possible 100) on the four midterm examinations for a math class. If each
timofeeve [1]

Answer:

93.63

Therefore, she need to get a minimum of 93.63 out of 100 in the final exam

Step-by-step explanation:

Given;

Each midterm exam = 15% of total grade

Final exam = 40% of total grade

Midterm scores = 75, 77, 81 and 84 (out of a possible 100)

Total midterm score = 75+77+81+84 = 317

To determine the grade of the four midterm exams in the total score;

We need to find the 15% of the midterm score;

= 15% of 317

= 0.15×317

= 47.55 %

To get a minimum score of 85 % of the total score, the amount of the total score to be secured in the final exam is;

Final exam = 85% - 47.55% = 37.45%

Since final exam is 40% of the total score;

It means she need to get 37.45% out of 40% of the final exam.

Converting it to a score of 100;

Final exam score = 37.45/40 × 100

Final exam score = 93.63

Therefore, she need to get a minimum of 93.63 out of 100 in the final exam

3 0
2 years ago
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