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Darya [45]
3 years ago
7

Santiago receives ​$179

Mathematics
1 answer:
Mashutka [201]3 years ago
3 0

9514 1404 393

Answer:

  • $400 at 2%
  • $900 at 3%
  • $3600 at 4%

Step-by-step explanation:

Let x represent the amount invested at 3%. Then (x -500) is the amount invested at 2%, and 4x is the amount invested at 4%. The total interest income is ...

  0.02(x -500) + 0.03x + 0.04(4x) = 179

  0.21x -10 = 179 . . . . . simplify

  0.21x = 189 . . . . . . . . add 10

  x = 900 . . . . . . . . . . . divide by 0.21

  x -500 = 400

  4x = 3600

$400 is invested at 2%; $900 is invested at 3%, $3600 is invested at 4%.

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The answer to this question is d
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3 years ago
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Solve this inequality: -3 - 6(4x + 6) > -111
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Step-by-step explanation:

-3-24x-36>-111

-39-24x>-111

-24x>-111+39

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24x<72

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Find the first five terms of the sequence in which a1 = 6 and an = –3an – 1 – 12, if n ≥ 2.
maxonik [38]

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Step-by-step explanation:

so whats the answer?

5 0
3 years ago
The measure of the supplement of an angle is three times the measure of the
gtnhenbr [62]
<h2>Answer:</h2>

<h3><em>x=45degrees</em></h3>

<h2>Step-by-step explanation:</h2>

Let the angle to be solved be x

Let the supplement/compliment by y

x+y=90 Complimentary angles add up to 90 degrees.

x+3y=180 Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.

Evaluating this as a system:

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x=90−y Input into the other equation:

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5 0
3 years ago
A roll of quarters is shaped like a cylinder and contains 40 each quarter has a thickness of 1.75 and a diameter of 24.26 mm Wha
jarptica [38.1K]

Answer:

D) 32,357mm^3

Step-by-step explanation:

Given

Quarters = 40

Thickness = 1.75mm

diameter = 24.26mm

First, we calculate the volume of 1 roll.

The volume of the cylinder is:

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r = \frac{1}{2} * 24.26mm

r = 12.13mm

And the thickness represents the height.

So:

The volume is:

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V = 809.03mm^3

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Roll= 40 * 809.03mm^3

Roll=32361.20mm^3

The closest option is (d):

7 0
3 years ago
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