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Marat540 [252]
3 years ago
15

Randall invests $7200 in two different accounts. The first account paid 11 %, the second account paid 13 % in interest. At the e

nd of the first year he had earned $832 in interest. How much was in each account?
Mathematics
1 answer:
andriy [413]3 years ago
7 0

Answer:

  • 11% -- $5200
  • 13% -- $2000

Step-by-step explanation:

Let x represent the amount invested in the higher-earning account. Then the investment in the other account is (7200-x), and the total interest is ...

  0.13x +0.11(7200 -x) = 832

  0.02x = 832 -792 . . . . . . eliminate parentheses, collect terms, subtract 792

  x = 40/0.02 = 2000 . . . . divide by the coefficient of x

$2000 was invested at 13%; $5200 was invested at 11%.

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Midpoint of (16,5) and (-6,-9)?
Zigmanuir [339]

To solve this problem, we need to use the midpoint formula, where M = (x1+x2/2, y1+y2/2). To solve, we must plug in the given (x,y) values from our ordered pairs and then simplify, shown below:

(x1+x2/2, y1+y2/2)

( (16 + -6)/2, (5 + -9)/2 )

Now, we can begin to simplify by computing the addition in the numerators of both fractions.

(10/2, -4/2)

Next, we can finish the simplification process by dividing these fractions.

(5, -2)

Therefore, the midpoint of (16,5) and (-6,-9) is (5,-2).

Hope this helps!

8 0
3 years ago
Pls help i am on a timer
stich3 [128]

Answer:

x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}

Step-by-step explanation:

Given;

x² - 2x - 1 = 0

Solve by completing the square method;

⇒ take the constant to the right hand side of the equation.

x² - 2x = 1

⇒ take half of coefficient of x = ¹/₂ x -2 = -1

⇒ square half of coefficient of x and add it to the both sides of the equation

x^2 +  (-1)^2 = 1 + (-1)^2

(x-1)^2 = 1 + 1\\\\(x-1)^2 = 2\\\\

⇒ take the square root of both sides;

x-1 = +/- \ \ \sqrt{2} \\\\x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}

Therefore, option B is the right solution.

3 0
3 years ago
A) 3<br> B) 0<br> C) -3<br> Answer the question in the image below, Thank you!
7nadin3 [17]
The answer to this question is B) 0
6 0
3 years ago
Read 2 more answers
Which type of parent function is f(x) = |x|?
mariarad [96]
The absolute value parent function.
5 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!
Paraphin [41]

the overhead, fixed costs, is $1000.

the variable cost is $200, so if she sells "x" tiles, then her costs is 200*x or 200x.

total costs then will just be C(x) = 200x + 1000.

namely both costs added together.

Revenue is just how much it's been taken in from the sales, since each tile is selling for $240, then the revenue is simply 240*x or just R(x) = 240x.

break even point is when those two guys equal each other

\bf \stackrel{R(x)}{240x}=\stackrel{C(x)}{200x+1000}\implies 40x=1000\implies x=\cfrac{1000}{40}\implies x=25

what if the cost for each tile were $220, 20 bucks more?

\bf \stackrel{R(x)}{240x}=\stackrel{C(x)}{220x+1000}\implies 20x=1000\implies x=\cfrac{1000}{20}\implies x=50

well, if the cost for each tile is $200, her break-even point is at 25 units, namely once she has sold 25 tiles, she's has lost nothing, has won nothing either, but hasn't lost anything.

if the cost is however $220 instead, her break-even point comes much later, at 50 units, so she'll have to sell more tiles in order to not have any losses, so she's worse off if the cost is more or course.

4 0
3 years ago
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