$14,038 is invested, part at 14% and the rest at 12%. If the interest earned from the amount invested at 14% exceeds the interest earned from the amount invested at 12% by $984.34, how much is invested at each rate? (Round to two decimal places if necessary.)

Answers

Answer 1

Answer:

492.99

Step-by-step explanation: x = amount invested at 12%

y = amount invested at 9%

---

x + y = 20287

0.12x = 0.09y + 492.99

---

put the system of linear equations into standard form

---

x + y = 20287

0.12x - 0.09y = 492.99

Answer 2

The amount invested at 14% is $4144 and the amount invested at 12% is $9894.

What is simple interest?

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

We are given that;

Investment at 14%= $14,038

Investment at 12%= $984.34

Now,

Let x be the amount invested at 14% and y be the amount invested at 12%. Then we have:

x + y = 14038 (total amount invested)

0.14x - 0.12y = 984.34 (difference in interest)

We can solve this system of equations by substitution or elimination. For example, by elimination, we can multiply the first equation by 0.12 and subtract it from the second equation to get:

0.02x = 82.88

x = 4144

Then we can plug x into the first equation and get:

y = 14038 - 4144

y = 9894

Therefore, the simple interest will be $4144 and $9894.

Learn more about simple interest here;

https://brainly.com/question/1548909

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Answer:

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Step-by-step explanation:

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Verizon has a special and is selling the new iPhone 7 for $299 to new customers. If the Apple Store is charging twice as much as Verizon, then how much is Apple charging for the new phone?

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Answer:

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Step-by-step explanation:

2 x 299 = 598 so Apple is charging $598 for the new phone.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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solve the equation using elimination

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Answer:

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Step-by-step explanation:

you would take 3x+2y=7 and put y=-3x+11 in place of y so it would be 3x+2×-3x+11=7

Mean of 72, 75, 78, 72, 73

Answers

to find the mean you add all the numbers together

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Answers

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Answers

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Answers

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The cost of a ticket for 3 days stay in a cruise ship is 35,968. If 500 tickets were sold, what was the total amount collected?

Answers

Step-by-step explanation:

a ticket for 3 days cost = 35968

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therefore, 500 tickets cost= 500 x 11989.33

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Given f(x) = 2x2 – 9x + 2, g(x) = 1 - 6x, and
h(x) = x2 – 4, find the following function:
(h+f)(x)

Answers

Answer:

[tex](h+f)(x)=3x^2-9x-2[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-9x+2\\g(x)=1-6x\\h(x)=x^2-4[/tex]

Looks like g(x) is irrelevant here.

You can expand this like so:

[tex](h+f)(x)\\h(x)+f(x)[/tex]

And even further:

[tex](x^2-4)+(2x^2-9x+2)[/tex]

Now, it's just a matter of simplifying.

[tex]x^2-4+2x^2-9x+2\\\\(x^2+2x^2)+(-9x)+(-4+2)\\\\3x^2-9x-2[/tex]

Therefore:

[tex](h+f)(x)=3x^2-9x-2[/tex]

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Answers

Answer:

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Step-by-step explanation:

The altitude from B is perpendicular to segment AC. The slope of segment AC is ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-5))/(2 -(-7)) = 6/9 = 2/3

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_____

Additional comment

The equation can be put in other forms, as you may wish. Solving for y gives the slope-intercept form.

  y = -3/2x -5/2 . . . . . slope-intercept form

 3x +2y = -5 . . . . . . . standard form

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Answer:

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Step-by-step explanation:

Mark brainliest please!

If 333 + 555 = 999
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Answer:

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Step-by-step explanation:

Is the answer for the last one is 298?

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[tex]Given: AD \parallel BCAD∥BC and AD=CB[/tex]

To Prove: [tex]AB \parallel DCAB∥DC[/tex]

1. [tex]AD \parallel BCAD∥BC , AD=CB[/tex]

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Reason: If Lines are parallel, then Alternate Interior Angles are Equal).

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Reason: If Alternate Interior Angles are Congruent, then Lines are Parallel.

Answer:

The missing Statements and reasons are given below

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Would you rather have your boss pay you 10,000 a day for 3 full weeks

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Answer:

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Answers

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Answer:

[tex]y = \frac{ - 4 + 3x}{7} [/tex]

Step-by-step explanation:

follow the steps in the previous answer, but

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y = 6x - 13

Step-by-step explanation:

Desmos guess and check :)

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Here m = 6 , then

y = 6x + c ← is the partial equation

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- 1 = 12 + c ⇒ c = - 1 - 12 = - 13

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6 out of every students in a school watched FIFA world cup final match on TV. What is the ratio of the number of students who watched the final match to those who did not?

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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1)   f(x) = 4x^2 +3

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Question 1(Multiple Choice Worth 2 points)
Convert 0.00001 to a power of 10.

104
10−4
105
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Answers

Answer:

Hello! Your answer here is 10−5.

Step-by-step explanation:

To convert 0.00001 to a power of 10, we use scientific notation. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

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10−5

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Answers

Answer:

3 people

Step-by-step explanation:

$11 for parking leaving $39 after paying for parking

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Answers

Answer:

1 8/11

Step-by-step explanation:

Using a calculator you can determine this information easily. I recommend doing so.

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explanation

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Answers

Answer:

the second triangle

Step-by-step explanation:

because the point of intersection is out the triangle

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Answers

Answer:

1.05660377358 or 1.06 rounded

Step-by-step explanation:

If it needs to be rounded, use 1.06 or 1.057. If not, the exact answer is 1.05660377358.

Answer:

1.056603774

Step-by-step explanation:

use the midpoint formula to find the midpoint of the given segment on the coordinate plane

Answers

H(2,2) K(6,4)
(2+6/2) (2+4/2)
(8/2) (6/2)
Answer: (4,3)

Answer:

Midpoint : (4,3)

Step-by-step explanation:

midpoint = [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Where the x and y values are derived from the given points.

We are given points H and K which are at (2,2) and (6,4)

We have (x1,y1) = (2,2) so x1 = 2 and y2 = 2

As well as (x2,y2) = (6,4) so x2 = 6 and y2 = 4

To find the midpoint we simply plug in the values of x and y into the formula

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x1 = 2 , x2 = 6 , y1 = 2 and y2 = 4

plug in these values into the formula

[tex](\frac{2+6}{2} ,\frac{2+4}{2} )[/tex]

add top values: 2 + 6 = 8 and 2 + 4 = 6

[tex](\frac{8}{2} ,\frac{6}{2} )[/tex]

simplify fractions : 8/2 = 4 and 6/2 = 3

The midpoint is at [tex](4,3)[/tex]

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