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Answer:

r = .03 or 3%

Step-by-step explanation:

Interest = Principal x Rate x Time

15000 = 50000(10)r

15000 = 500000r

r = 15/500

r = .03 or 3%

Answer:

its 9

Step-by-step explanation:

i pretty sure im right

Answer:

{x,y} = {3,1}

Step-by-step explanation:

visit this for more info;

https://www.tiger-algebra.com/drill/2x_y=7;x-y=2/

Solution :

Given :

ABCD is a quadrilateral.

Angle ADC = 90 degree

Angle DCB = 120 degree

Now angle DAB = 70 degree (alternate angles)

We know that the interior angles of a quadrilateral is 360 degrees.

So,

∠ DAB + ∠ ABC + ∠ BCD + ∠ CDA = 360°

70° + ∠ ABC + 120° + 90 ° = 360°

∠ ABC = 360° - (70° + 120° + 90°)

∠ ABC = 360° - 280°

∠ ABC = 80°  

Now     ∠ x = 180° - ∠ ABC   (Line AB extended is 180° )

                   = 180° - 80°  

                  = 100°

Hence proved.

Answer:

87cm

Step-by-step explanation:

Length x width = area

98 x width = 8526

width=8526/98

width=87

Answer: B

Step-by-step explanation:

Answer:

Step-by-step explanation:

i need points srry

Step-by-step explanation:

Answer:

20% off

Step-by-step explanation:

96/120 = 80% price still, so 20% off.

Answer:

45X2y4

Step-by-step explanation:

3√225X2y4

Simplify to

45X2y4

=45X2y4

Answer:

[tex]5^{th} term = 126a^5b^4[/tex]

Step-by-step explanation:

[tex]\left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i\\\\(a + b)^9 =\sum _{i=0}^9\binom{9}{i}a^{\left(9-i\right)}b^i\\\\[/tex]

       [tex]=a^9 + 9a^8b + 36a^7b^2 + 84a^6 b^3 + 126a^5b^4+ 126a^4b^5+84a^3b^6+ 36a^2b^7+ 9ab^8+b^9[/tex]

[tex]5^{th} term = 126a^5b^4[/tex]

Answer:

10 is the range  12 game were played in the season

Step-by-step explanation:

sorry if its wrong

Answer:
29 games were played in the season.
[6,8)

1,3,3,3,4,4,4,4,5,5,6,6,6,6,6,6,7,7,7,7,8,8,8,9,9,10,11,11,12

Step-by-step explanation:

Answer:

0.42857142857

Step-by-step explanation:

Answer:

We know that:

Tan(x) = sin(x)/cos(x)

We know that:

Tan(θ) = 1 = sin(θ)/cos(θ)

we can rewrite this as:

sin(θ)/cos(θ) = 1

sin(θ) = cos(θ)

If you know the table of notable angles, the angle such that this is true is θ = 45°

sin(45°) = 1/√2 = cos(45°)

Now we want to find the value of:

sec(θ) + cosec(θ)

Where:

sec(θ) = 1/cos(θ)

cosec(θ) = 1/sin(θ)

And we already know the values of the sine and cosine function, then:

sec(45°) + cosec(45°) = 1/cos(45°) + 1/sin(45°) = 2*(1/( 1/√2)) = 2*√2

Then, given that:

Tan(θ) = 1

We can conclude that:

sec(θ) + cosec(θ) = 2*√2

Answer:

44

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

3,818.2

Step-by-step explanation:

The 2 is in the tenths place. Since the digit to the right of the 2 is below 5, just drop it.

Answer: 3,818.2

Answer:

the answer is 3,818.2.

step by step

Answer:

49 ÷ 7 = 7

Step-by-step explanation:

49 ÷ y = 7

7 = 49 ÷ y

7 · y = 49 ÷ y · y

7y = 49

7y ÷ 7 = 49 ÷ 7

y = 7

Answer:

B. -11

Step-by-step explanation:

ascending order means least to greatest.

-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7,...

3, -1, [tex]\sqrt{5}[/tex], 13, -11

-11 is the least number because it is the greatest negative number

Answer:

No, Alex had the better free throw percentage

Step-by-step explanation:

If you turn these data sets into completion percentage, (which is when you make a shot), Alex has a free throw % of 40, while Elizabeth's free throw % is only 36

Answer:

Step-by-step explanation:

a^2+b^2=c^2

3^2+4^2=c^2

9+16=c^2

25=c^2

[tex]\sqrt{25[/tex]=c

5=c

Answer:

5 miles

Step-by-step explanation:

as we know, c^2 = 4^2 + 3^2

c^2 = 25 miles

c = 5miles

Answer:

Step-by-step explanation:

2w+5w-6+4w

=10w+4w-6

=14w-6

=2(7w-3)

Answer:

[tex]11w - 6[/tex]

Step-by-step explanation:

[tex]2w + 5w + 4w = 11w[/tex]

[tex]11w - 6[/tex]

Answer: Yes. The data provides convincing evidence.

Step-by-step explanation:

In a random sample of 40 teenagers, 18 enjoy reading for fun. The percentage of teenagers who enjoy reading for fun will be:

= 18/40 × 100

= 45%

In a random sample of 40 adults, 12 enjoy reading for fun. The percentage of adults who enjoy will be:

= 12/40 × 100

= 30%

Therefore, the proportion of adults who enjoy reading for fun is less than that of teenagers. Therefore, the data provides convincing evidence.

Answer:

0.75

Step-by-step explanation:

Given :

mean = 42000

Standard deviation = 24000

score, x = 60000

The Zscore :

Zscore = (score - mean) / standard deviation

(60000 - 42000) / 24000

18000 / 24000

= 0.75

Answer:

fixed

Step-by-step explanation:

Answer:

The sequence diverges

Step-by-step explanation:

The given sequence is 1, 4, 15, 64, 128, ...

By observation the sequence can be expressed as a sequence of 4 raised to increasing powers of 'x' as follows;

The sequence is 4ˣ, where; x = 0, 1, 2, 3, 4, ..., ∞

Therefore, the values of each subsequent term of the sequent is higher than the term it succeeds, the sequence does not converge to a given limit value and therefore, the sequence diverges.

Answer:

m =48

Step-by-step explanation:

1st step is to multiply both sides by 8

2nd step it would be 48=m

3rd step swap the sides.. m=48

Answer:

Option 3

Step-by-step explanation:

Given functions are,

f(x) = [tex]\frac{1}{x-3}[/tex]

g(x) = [tex]\sqrt{x+5}[/tex]

Therefore, composite function (f o g) will be,

(f o g)(x) = f[g(x)]

             = [tex]\frac{1}{\sqrt{x+5} -3}[/tex]

This function will be defined for,

Denominator > 0

[tex]\sqrt{x+5}-3>0[/tex]

[tex]\sqrt{x+5} >3[/tex]

[tex](x+5)>3^2[/tex]

[tex]x+5>9[/tex]

[tex]x>9-5[/tex]

[tex]x>4[/tex]

And [tex]x+5\geq 0[/tex]

[tex]x\geq -5[/tex]

Therefore, domain of the composite function will be,

[-5, 4) ∪ (4, ∞)

Option 3 will be the answer.

Answer:

36.9

Step-by-step explanation:

Use the formula [tex]a^2 + b^2 = c^2[/tex] to find the length of LK.

40 is the hypothenuse because it is directly across from the right angle.

[tex]a^2 + 24^2 = 40^2[/tex]

[tex]a^2[/tex] = 32

Tan is opposite over hypothenuse.

Tan M = 36.9

Answer:

The coordinates of point B are (4,1)

Step-by-step explanation:

The easiest way of solving and explaining this question would to go by steps from each point. From point A to the midpoint, we go 1 left on the x axis from 6->5 and 3 up on the y axis from -5->-2. You then repeat these steps again to go from the midpoint to B. (5-1,-2+3) = (4,1)

Answer:

7x+9y=45

Step-by-step explanation: