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wolverine [178]
2 years ago
11

An amount of $350,000 is borrowed for a period of 30 years at an interest rate of 5.5%. The amortization schedule for this

Mathematics
1 answer:
Annette [7]2 years ago
8 0
350,000 . 250,00 . 1,987.26
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a box contains three pens two markers, and one highlighter. Tera selects one item randomly and does not return it to the box, th
Anna [14]

Answer:

For the pen 3/6 and for the marker 2/6

Step-by-step explanation:

Hope this helps

6 0
3 years ago
What is the average rate of change of f over the interval [3,4]?
IgorC [24]
The answer to this question is 56
6 0
2 years ago
Two vectors vector a and vector b have precisely equal magnitudes. in order for the magnitude of vector a + vector b to be 110 t
Anika [276]
<h3>Given</h3>

Vector A = (Vector B)×(1∠α)

|A+B| = 110×|A-B|

<h3>Find</h3>

angle α

<h3>Solution</h3>

Substituting for vector A in the given relation, we have

... |B×(1∠α) + B| = 110|B×(1∠α) -B|

Now 1∠α in polar coordinates is (cos(α), sin(α)) in rectangular coordinates.

Dividing by |B|, we have the relation between sum and difference vector magnitudes is

... √((1 +cos(α))² +sin(α)²) = 110√((cos(α) -1)² +(-sin(α))²)

Squaring both sides gives

... 1 +2cos(α) +cos(α)² +sin(α)² = 12100(1 -2cos(α) +cos(α)² +sin(α)²)

... 1 +cos(α) = 12100(1 -cos(α)) . . . . using sin²+cos²=1 and dividing by 2

And solving for cos(α) gives

... cos(α)(1+12100) = 12100 -1

... α = arccos(12099/12101) ≈ 1.0417°

The angle between the vectors is about 1.0417°.

4 0
3 years ago
Anjeli writes the equation (a+b)2=c2+4(12ab) to begin a proof of the Pythagorean theorem. Use the drop-down menus to explain why
Nikitich [7]

Equation of Anjeli is true.

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

Triangle ABC right angle at C such that

Considering AB = c as (Hypotenuse), AC = b as (Longer leg), BC = a as (Shorter leg)

Proof:

(a+b)² = c²+ 4(1/2) ab

In the Triangle ABC,  by Pythagoras theorem, Plugin the values we will get,

Hypotenuse² = longer leg² + shorter leg²

AB² = AC²+ BC²

c² = b²+ a² ------ q

(a+ b)² can be written using the identity as,

(a+ b)²= a² + 2ab + b² ----LHS

Plugin the above identity in the eq. q we will get,

c²+ 2ab = c² + (4/2) ab --- RHS

So LHS = RHS.

Hence proved.

6 0
2 years ago
Please help, I’ll mark your answer as brainliest.
Lisa [10]

Answer:

Step-by-step explanation:

4 0
2 years ago
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