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Setler [38]
3 years ago
8

Olcquations

Mathematics
1 answer:
zaharov [31]3 years ago
8 0

Answer:

  • $600 at 8%
  • $2400 at 3%

Step-by-step explanation:

You have the right numbers, but the wrong accounts.

__

Let x represent the amount invested at 8% (the highest rate). Then the total interest is ...

  .08x +.03(3000 -x) = .04(3000)

  .05x = .01(3000) . . . . subtract .03(3000)

  x = 3000/5 = 600

Matthew invested $600 at 8%, $2400 at 3%.

_____

<em>Comment on checking your answer</em>

You may notice that the overall interest rate is 4%, closer to 3% than to 8%. That means more of the money must be invested at 3% than at 8%.

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Let (-5,-4) be a point on the terminal side of (theta). Find the exact values of cos, csc, and tan.
Rasek [7]

The exact values of the trigonometric identities cos, csc and tan as required in the task content are; -√41/5, -√41/4 and 4/5 respectively.

<h3>What are the exact values of cos, csc and tan as required in the task content?</h3>

It follows from above that the terminal side of the angle theta as described is on the point with coordinates (-5, -4).

Hence, the points spans 5 units leftwards and r units downwards on x and y axis respectively.

Hence, the length of the line that describes the angle by Pythagoras theorem is;

h = √((-4)² + (-5)²)

h = √41.

Hence, it follows from trigonometric identities that;

Cos (theta) = -5/√41.

Csc (theta) = -√41/4

Tan (theta) = 4/5

Read more on trigonometric identities;

brainly.com/question/24496175

#SPJ1

3 0
1 year ago
What is the value of the expression? 18 - 2 x (4 + 3)
Arturiano [62]

Answer:

=−14x+18

Step-by-step explanation:

happy to help ya :)

7 0
2 years ago
Read 2 more answers
Express thos number in scientific notaion 0.0008235
tatuchka [14]
8.235 X 10 -4exponent. The exponent is negative because you moved the decimal to the right instead of left :) hope this helps!
5 0
3 years ago
If the volume of a sphere inscribed in a cubic box is 36pi, find the surface area of the box
Kruka [31]

Answer:

Surface area of the cube = 216 square units

Step-by-step explanation:

Let the length of a side of a cube = x unit

Diameter of the sphere inscribed in this cube = length of a side of the cube

Volume of the sphere = \frac{4}{3}\pi r^{3}

Where r = radius of the sphere = \frac{x}{2} units

36π = \frac{4}{3}\pi (\frac{x}{2})^{3}

36π = \frac{4x^{3}\pi }{24}

36×24 = 4x³

x = \sqrt[3]{\frac{36\times 24}{4} }

x = 6 units

Length of a side of the cube = 6 units

Surface area of the cube = 6×(Side)²

                                          = 6×(6)²

                                          = 216

                                          = 216 square units    

3 0
3 years ago
the length of a rectangle is 5ft longer than it's width. if the perimeter of the rectangle is 34ft, find it's area?
galina1969 [7]
2X + (2X+10)= 34

Width is 6, Length is 11

6 x 11 is 66

Area is 66
7 0
3 years ago
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