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FrozenT [24]
3 years ago
8

Please help me I dont get this :( number 4

Mathematics
1 answer:
jonny [76]3 years ago
4 0
[x = amount earning 6% annually.]
(8000-x) = amount earning 15% annually
Then we set up our equation which is a sum of the 15% return and the 6% return and we let that sum equal our desired return on investment ($930). Then solve for x.
(8000-x)*.15 + x*.06 = 930
1200 - .15x + .06x = 930
.09x = 270
x = 3000.
Therefore, you should invest $3000 at 6% and $5000 at 15% to earn $930 annually.
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4 0
3 years ago
2. Write an equation of the line that passes through the<br> points (1,3) and (-1,1).
cestrela7 [59]

Answer:

I've been trying to figure this out with out a chart and i keep confusing myself

Step-by-step explanation:

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3 0
4 years ago
Simplify, THEN evaluate for x = 3, y = -4, and z= -2.<br> 7(x - y) - 3(2 + 2x)
Tamiku [17]

Answer:  25

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

   7(x - y) - 3(2 + 2x)

= 7x - 7y  - 6  - 6x

=   x - 7y  - 6

for x = 3, y = -4

      3 - 7(-4) - 6

=     3 + 28  - 6

=         31     - 6

=             25

8 0
4 years ago
A plane traveled 2565 miles with the wind in 4.5 hours and 2205 miles against the wind in the same amount of time. Find the spee
kherson [118]

Answer:

  • plane: 530 mi/h
  • wind: 40 mi/h

Step-by-step explanation:

Let p and w represent the speeds of the plane and the wind. The relation between time, speed, and distance is ...

  speed = distance/time

  p +w = (2565 mi)/(4.5 h) = 570 mi/h

  p -w = (2205 mi)/(4.5 h) = 490 mi/h

Adding these speeds, we get ...

  (p +w) +(p -w) = (570) +(490) mi/h

  2p = 1060 mi/h

  p = 530 mi/h

Then the speed of the wind is ...

  w = 570 mi/h -p = (570 -530) mi/h = 40 mi/h

The plane's speed is 530 mi/h; the wind speed is 40 mi/h.

7 0
3 years ago
Please only answer if you're confident.
lina2011 [118]

Answer:  ∠B=70°

Step-by-step explanation:

It is shown in the diagram that ∠A and ∠B is vertical angles.

  • Vertical angle theorem: opposite angles are congruent.

<u>Solve:</u>

∠A=∠B

8x+6=4x+38

4x=32

x=8

<h2>∠B=4x+38=4(8)+38=32+38=70°</h2>
4 0
3 years ago
Read 2 more answers
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