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dlinn [17]
3 years ago
12

1. If I get a loan of $30,000 and I promise to pay in 10 equal instalments of $3,000 each semester, how much interest in total d

o I have to pay if 10% each semester over the balance.
Mathematics
1 answer:
Gekata [30.6K]3 years ago
7 0

Answer:

yes because when you multiply 3000 by 10 that gives you a total of 30000 that you paid off

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HELP PLEASE
irinina [24]

Answer:

A. 3x+3

Step-by-step explanation:

The perimeter is found by adding all the side lengths:

(x)+(x-3)+(x+6)

=1x+1x+1x-3+6

=3x+3

(Remember, add x-terms to x-terms, and numbers to numbers)

5 0
3 years ago
Lauren drinks a variety of soft drinks. Over the past​ month, she has had 19 diet​ colas, 4 cans of​ lemonade, and 5 cans of roo
Rasek [7]

Answer:

a.

Probability of Diet Cola = 19/28

Probability of Lemonade = 4/28

Probability of Root Beer = 5/28

b. Theoretical Probability

Step-by-step explanation:

Given

Diet Cola = 19

Lemonade = 4

Root Beer = 5

Required

Probability the her next drink will be

- Diet Cola

- Lemonade

- Root beer

To calculate the probability of each of the above, first we need to calculate the total number of drinks she's had

Total = Diet Cola + Lemonade + Root Beer

Total = 19 + 4 + 5

Total = 28

The probability that her next drink can be any of the above can then be calculated.

This is calculated by dividing each outcome by the total; as follows;

Probability of Diet Cola = 19/28

Probability of Lemonade = 4/28

Probability of Root Beer = 5/28

This type of probability is referred to as theoretical probability because it makes predictions base on previous occurrence of events.

5 0
3 years ago
In a certain isosceles right triangle, the altitude to the hypotenuse has length
Law Incorporation [45]

The angle bisector, median, and altitude are all the same things in an isosceles triangle.

That means that the legs of the smaller triangles created by the altitude are 4 root 2.

By special properties of an right triangle, the hypotenuse is 8.

Since the legs of the original right triangle are congruent, the area of the original triangle is 8*8/2.

Now we just simplify:

8*8/2=64/2=32

8 0
3 years ago
Which function is the same as y = 3 cosine (2 (x startfraction pi over 2 endfraction)) minus 2? y = 3 sine (2 (x startfraction p
kirza4 [7]

The function which is same as the function y = 3cos(2(x +π/2)) -2 is: Option A: y= 3sin(2(x + π/4)) - 2

<h3>How to convert sine of an angle to some angle of cosine?</h3>

We can use the fact that:

\sin(\theta) = \cos(\pi/2 - \theta)\\\sin(\theta + \pi/2) = -\cos(\theta)\\\cos(\theta + \pi/2) = \sin(\theta)

to convert the sine to cosine.

<h3>Which trigonometric functions are positive in which quadrant?</h3>
  • In first quadrant (0 < θ < π/2), all six trigonometric functions are positive.
  • In second quadrant(π/2 < θ < π), only sin and cosec are positive.
  • In the third quadrant (π < θ < 3π/2), only tangent and cotangent are positive.
  • In fourth (3π/2 < θ < 2π = 0), only cos and sec are positive.

(this all positive negative refers to the fact that if you use given angle as input to these functions, then what sign will these functions will evaluate based on in which quadrant does the given angle lies.)

Here, the given function is:

y= 3\cos(2(x + \pi/2)) - 2

The options are:

  1. y= 3\sin(2(x + \pi/4)) - 2
  2. y= -3\sin(2(x + \pi/4)) - 2
  3. y= 3\cos(2(x + \pi/4)) - 2
  4. y= -3\cos(2(x + \pi/2)) - 2

Checking all the options one by one:

  • Option 1: y= 3\sin(2(x + \pi/4)) - 2

y= 3\sin(2(x + \pi/4)) - 2\\y= 3\sin (2x + \pi/2) -2\\y = -3\cos(2x) -2\\y = 3\cos(2x + \pi) -2\\y = 3\cos(2(x+ \pi/2)) -2

(the last second step was the use of the fact that cos flips its sign after pi radian increment in its input)
Thus, this option is same as the given function.

  • Option 2: y= -3\sin(2(x + \pi/4)) - 2

This option if would be true, then from option 1 and this option, we'd get:
-3\sin(2(x + \pi/4)) - 2= -3\sin(2(x + \pi/4)) - 2\\2(3\sin(2(x + \pi/4))) = 0\\\sin(2(x + \pi/4) = 0

which isn't true for all values of x.

Thus, this option is not same as the given function.

  • Option 3: y= 3\cos(2(x + \pi/4)) - 2

The given function is y= 3\cos(2(x + \pi/2)) - 2 = 3\cos(2x + \pi) -2 = -3\cos(2x) -2

This option's function simplifies as:

y= 3\cos(2(x + \pi/4)) - 2 = 3\cos(2x + \pi/2) -2 = -3\sin(2x) - 2

Thus, this option isn't true since \sin(2x) \neq \cos(2x) always (they are equal for some values of x but not for all).

  • Option 4: y= -3\cos(2(x + \pi/2)) - 2

The given function simplifies to:y= 3\cos(2(x + \pi/2)) - 2 = 3\cos(2x + \pi) -2 = -3\cos(2x) -2

The given option simplifies to:

y= -3\cos(2(x + \pi/2)) - 2 = -3\cos(2x + \pi ) -2\\y = 3\cos(2x) -2

Thus, this function is not same as the given function.

Thus, the function which is same as the function y = 3cos(2(x +π/2)) -2 is: Option A: y= 3sin(2(x + π/4)) - 2

Learn more about sine to cosine conversion here:

brainly.com/question/1421592

4 0
2 years ago
Read 2 more answers
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Zarrin [17]

Answer:

= 2\pi \: r \: h \\ 2 \times \pi \times 4 \times 9 \\  = 226 .19 {cm}^{2}

Can I have the brainliest please?

4 0
2 years ago
Read 2 more answers
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