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Rashid [163]
3 years ago
10

To solve -9 - 16m = 7, what steps would you use?

Mathematics
1 answer:
Leona [35]3 years ago
7 0
-9-16m=7
-16m=7+9
-16m=16
-m=1
m=-1
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You invest $40,000 in two funds paying 4% and 52% simple interest. The total annual interest is $2080. How much do you invest in
natali 33 [55]

9514 1404 393

Answer:

  • 4% fund: $39,000
  • 52% fund: $1000

Step-by-step explanation:

Let x represent the amount invested at 52%. Then (40000-x) is the amount invested at 4%. The total annual interest is ...

  0.52x +0.04(40000-x) = 2080

  0.48x = 480 . . . . . . . . . subtract 1600, simplify

  x = 1000 . . . . . . . . . divide by 0.48

Then the amounts invested in each fund are ...

  4% fund: $39,000

  52% fund: $1000

6 0
2 years ago
Two ships leave a harbor together, traveling on courses that have an angle of 135°40' between them. If they each travel 402 mile
mario62 [17]

Answer:

Therefore they are 734.106 miles apart.

Step-by-step explanation:

Given that ,

Two ships have a harbor together. The angle between two ships  is  135°40'. Each of two ships travel 402 miles.

It forms a isosceles triangle whose two sides are 402 miles and one angle is 135°40'. Since it is isosceles triangle then other two angles of the triangle is equal.

Let ∠B= 135°40', and AB = 402 miles , BC =  402 miles

Then the distance between the ships = AC

We know

The sum of all angles = 180°

⇒∠A+∠B+∠C=180°

⇒∠A+135°40'+∠C=180°

⇒2∠A= 180°- 135°40'      [ since ∠A=∠C]

⇒2∠A=44°60'

⇒∠A= 22°30'

Again we know that,

\frac{AB}{sin\angle C}=\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}

Taking last two ratio,

\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}

Putting the value of BC , AC ,∠A,∠B

\frac{402}{sin 22^\circ30'}=\frac{AC}{sin 135^\circ40'}

\Rightarrow AC=\frac{402 \times sin135^\circ40'}{sin 22^\circ30'}

         ≈734.106 miles

Therefore they are 734.106 miles apart.

3 0
3 years ago
Please help!!!!!!!!! I'll mark brainliest if you give an explanation!!!!
ohaa [14]

Answer:

whichu

Step-by-step explanation:

5 0
2 years ago
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What are the coordinates of the image after a dilation with the center at the origin and a scale factor of 2?
Marina CMI [18]

(-2, 2) (8,2) (8, -2) (-2, -2)

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Veronika [31]

Answer:

nope it isn't a linear function

Step-by-step explanation:

if you put it in a graph it isn't a straight line

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