Find the simple interest and the total amount after three years.
Principal = 7800 rupees
Annual rate of interest = 9.5%
Total interest =____rupees
Total amount =____rupees

Answer:

f(x) = 10,500 x 1.05^t

You can find the angles using the unit circle. You can also find the angle using algebra.

I want to show you the algebra way.

Since cos(x) = cos(2•pi - x), this leads to two equations.

The two equations are as follows:

cos (x) = -1/2...the given problem.

We also have cos (2•pi - x) = -1/2.

To isolate x for both trigonometric equations, use the inverse trig function idea.

Equation 1

arccos(cos x) = arccos (-1/2)

x = 2•pi/3

Equation 2

arccos(cos (2•pi - x)) = arccos (-1/2).

Note: 2•pi - x = 2•pi/3. We are not done with this equation. We must isolate x. In other words, like any other equation, solving for x is needed.

When we subtract 2•pi from both sides, the answer for x in the second equation is 4•pi/3.

As you know, 2•pi/3 and 4•pi/3 lie between 0 and 2•pi on the unit circle.

Answer: 2•pi/3, 4•pi/3

Answer:

0.0907

Step-by-step explanation:

There are 12 picture cards

There are 4 9's

There are 52-12-4 = 36 cards that are not 9's and not picture cards

(5*58905)/(52C5)

Answer:

Answer: 19.2

Step-by-step explanation:

To calculate percentage, multiply the number 80 by 0.24, and the answer is 19.2.

Answer: $2528.56  is the answer because if you do the problem you should get something like this

A=P(1+r/n)^nt

Plug in the values:

P=1400, r=6/100=0.6,

n=2 and t=10

A=1400(1+.06/2)^2(10)

A=$2528.56

Hope it helped

Yours,

Nathaniel

Step-by-step explanation:

Answer:

f(x), Red Line: m = -½; b = 2

g(x), Blue Line: m = ⅓; b = -1

h(x), Green Line: m = 3; b = 0

Step-by-sep explanation:

✍️Note the following:

✔️The slope of a line, m, = [tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

✔️y-intercept, b, = the point on the y-axis where the line intercepts the y-axis, and where x = 0.

f(x), Red Line:

Using 2 points on the red line, (6, -1) and (8, -2)

slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 -(-1)}{8 - 6} = \frac{-1}{2} [/tex]

m = -½

The red line intercepts the y-axis at y = 2, therefore:

b = 2

g(x), Blue Line:

Using 2 points on the blue line, (0, -1) and (3, 0)

slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-1)}{3 - 0} = \frac{1}{3} [/tex]

m = ⅓

The blue line intercepts the y-axis at y = -1, therefore:

b = -1

h(x), Green Line:

Using 2 points on the green line, (0, 0) and (1, 3)

slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 0}{1 - 0} = \frac{3}{1} = 3 [/tex]

m = 3

The green line intercepts the y-axis at y = 0, therefore:

b = 0.

Write each number in complex polar form:

[tex]z=2e^{i\cdot30^\circ}[/tex]

[tex]w=5e^{i\cdot60^\circ}[/tex]

When you multiply two exponential expression with the same base (here, that's e), you end up adding the exponents, so that

[tex]zw=(2\cdot5)e^{i\cdot30^\circ+i\cdot60^\circ}=10e^{i\cdot90^\circ}=10i[/tex]

so the angle of the product zw is 90°.

Answer:

(-5p + 2)(-p + 10)

Step-by-step explanation:

[tex]5p^{2}[/tex]-52p + 20

(-5p + 2)(-p + 10)

You can double check this by using the distributive property..

-5p * -p = -5p^2

2*-p = -2p

10*-5p = -50p

10*2 = 20

-5p^2 + -2p + -50p + 20

Now we combine like terms and simplify

-5p^2 -52p + 20

So, we are correct

Answer:

Step-by-step explanation:

The formula for  calculating the amount after t years is expressed as;

A = P(1+r/n)*nt

P is the Principal (amount invested) = $300

r is the rate = 7% = 0.07

t is the time used to save = 11 years

n is time of compounding = 1/4 (quarterly)

Substitute;

A = 300 (1+0.07/(1/4))^(1/4)(11)

A = 300(1+4(0.07))^2.75

A = 300(1+0.28)^2.75

A = 300(1.28)^2.75

A = 300(1.9716)

A = 591.49

Hence the amount that will be in her account after 11 years is $591.49

Answer:

D would be the actual answer.

Step-by-step explanation:

Answer:

.09,1/6,1/3,2/5

Step-by-step explanation:

Answer: 12/5, 3.09, 3 and 1/6, 3 and 1/3

Step-by-step explanation: 12/5 is only equal to 2.4, so thats smallest. 3.09 is smaller compared to fractions.

tip: the bigger the bottom number on a fraction is, the smaller the number is. ex: 1/5 is actually a bigger number than 1/10

Answer:

2.576

Step-by-step explanation:

Given :

Confidence level (α) = 99%

Z(1 - α)/2 = Z(1 - 99%)/2

Z1%/2 = Z1%/ 2

Z0.5% = Z0.005

Z(0.99 + 0.005) = Z0.995

Using the Z distribution table ; locate the z value for the proportion 0.995 ; this corresponds to approximately 2.57

Similarly, using the Invnorm calculator function :

Invnorm(0.995) gives a Zscore of :

2.576

Answer:

That should be 11.99+35.50+6.75+3+ 7.15% of EACH of those items added together minus 11.99+35.50+6.75+3+ 6.35% of EACH of the same items added together

Answer:

-32ft

Step-by-step explanation:

Given parameters:

Original depth of the submarine  = -18ft

New depth  = -50ft

Unknown:

Change in depth = ?

Solution:

 The change in depth will be the difference in depth between the new and original depth.

 Change in depth = New depth  - original depth

  Change in depth  = -50ft - (-18ft) = -32ft

The change in depth of the submarine is -32ft.

Answer:i used a calculator 12000

Step-by-step explanation:12 × 10 × 10 × 10 = 12000

and have a nice Day :)

Answer:

12000

Step-by-step explanation:

If you multiply 12 by 10 its 120, if you add 2 more 0's to the end of the number, it will be 12000, so, basically, any time you multiply a number by 10, you add a 0 to the end of the number your multiplying 10 by, hope this helps:)

Answer:

It will take 2 1/2 years

Step-by-step explanation:

Using simple interest, it is found that it will take 2.5 years for the account to reach $713.

The amount of money after t years in simple interest is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

For this problem, the parameters are: [tex]A(t) = 713, A(0) = 620, r = 0.06[/tex].

Then:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]713 = 620(1 + 0.06t)[/tex]

[tex]1 + 0.06t = \frac{713}{620}[/tex]

[tex]0.06t = 1.15 - 1[/tex]

[tex]0.06t = 0.15[/tex]

[tex]t = \frac{0.15}{0.06}[/tex]

[tex]t = 2.5[/tex]

It will take 2.5 years for the account to reach $713.

For more on simple interest, you can check https://brainly.com/question/25781328

Answer:

[tex]x = 5[/tex]; [tex]y = 3[/tex]

Step-by-step explanation:

Given

[tex]y = 6x - 27[/tex]

[tex]y = 2x - 7[/tex]

Required

Determine the point of intersection

We simply equate both equations; i.e.

[tex]y = y[/tex]

or

[tex]6x - 27 = 2x - 7[/tex]

Collect Like Terms

[tex]6x - 2x = 27 - 7[/tex]

[tex]4x = 20[/tex]

Solve for x

[tex]x = 20/4[/tex]

[tex]x = 5[/tex]

Substitute 5 for x in [tex]y = 2x - 7[/tex]

[tex]y = 2 * 5 - 7[/tex]

[tex]y = 10- 7[/tex]

[tex]y = 3[/tex]

Hence, the point of intersection is:

[tex]x = 5[/tex]; [tex]y = 3[/tex]

Answer:

16

Step-by-step explanation:

parentheses first: 10-6 which is 4^2 or 16.

Hope this helps :D

Answer:

24

Step-by-step explanation:

Answer:

113

Step-by-step explanation:

First you need to find the radius, the key term to find the radius is diameter=2⋅radius ; therefore the radius r is 122=6 inches. To find the area of a circle, you need to use the formula A=π⋅r2 ; therefore the area A is π⋅62≈113 square inches.

Answer: point B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Absolute value negates positive or negative values, therefore the larger number wins (e.g |6|=6, |-7|=7)

I hope this helps and good luck!

Answer:

The answer is "p= $5,246".

Step-by-step explanation:

Using formula:

Present value of [tex]\frac{in-flow}{out-flow}[/tex] = cash-flow [tex]\times[/tex] present value of discounting factor(rate %, time period)

[tex]\to -p-\frac{2p}{1.08}-\frac{4p}{1.08^2}- \frac{8p}{1.08^3}-\frac{16p}{1.08^4} =\frac{24000}{1.08^5}+ \frac{30000}{1.08^6}+ \frac{36000}{1.08^7} + \frac{42000}{1.08^8}+ \frac{48000}{1.08^9}+ \frac{24000}{1.08^{10}}\\\\[/tex]

[tex]\to -p[1+\frac{2}{1.08}+\frac{4}{1.08^2}+ \frac{8}{1.08^3}+\frac{16}{1.08^4}] = 127960.43169\\\\\to -p[24.3923427] = 127960.43169\\\\\to -p = \frac{127960.43169}{24.3923427}\\\\\to p= 5245.93\\\\\to p= 5246[/tex]

Answer:

114.4

Step-by-step explanation:

421.2

-305.2

114.4

Answer:

The common difference of the given AP is d=5.

Step-by-step explanation:

Given the sequence

[tex]10,\:15,\:20[/tex]

An Arithmetic sequence has a constant difference 'd' and is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

Computing the common difference of all the adjacent terms

[tex]10,\:15,\:20[/tex]

[tex]15-10=5,\:\quad \:20-15=5[/tex]

As the difference between all the adjacent terms is the same and equal to

[tex]d=5[/tex]

Therefore, the common difference of the given AP is d=5.