6900 dollars is placed in account with an annual interest rate of 8.25%. How much will be in the account after 26 years, to the nearest cent.

Use [tex]\sec\theta = \dfrac{1}{\cos{\theta}}[/tex]  to get

    [tex]\sec\theta -\cos{\theta}= \dfrac{1}{\cos{\theta}}-\cos(\theta})[/tex]

Then find a common denominator:

    [tex]\dfrac{1}{\cos{\theta}}-\cos(\theta}) = \dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta}[/tex]

But now make that one fraction:

    [tex]\dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta} = \dfrac{1 - \cos^2\theta}{\cos{\theta}}[/tex]

But that's just sin^2 on the top

    [tex]\dfrac{1 - \cos^2\theta}{\cos{\theta}} = \dfrac{sin^2\theta}{\cos{\theta}} = \dfrac{sin\theta\cdot sin\theta}{\cos{\theta}}[/tex]

Split that fraction up:

    [tex]=\dfrac{ sin\theta}{\cos{\theta}}\cdot sin\theta[/tex]

And tan = sin/cos

    [tex]=\tan\theta\cdot sin\theta[/tex]

Answer:i think is A

Step-by-step explanation:

Answer: the answer is

Step-by-step explanation:

Answer:

165 miles

Step-by-step explanation:

part 1

231/7= 33 mpg

33x5 = 165 miles

part 2

distance/mpg = gas used

for example: if you were told he went 200 miles,

200/33 = 6.06 gallons of gas

Given :

Ian's car can go 231 miles on 7 gallons of gas.

During a drive last weekend, lan used

5gallons of gas.

To find :-

How far did he drive?

Solution :-

According to Question ,

Car can go 231 mi on 7 gallons of gas.

Using Unitary Method ,

On 1 gallon of gas it will go 231/7mi

On 5 , it will go 231/7*5 = q65 miles

Hence the required answer is 165 miles

Answer:  The correct answer is:  " 11 .1 " .

________

Step-by-step explanation:

Given:

" [tex]1.9h + 3.5 =[/tex] ? " ;  Solve:  when: " [tex]h = 4[/tex] " ;

________

To find the answer:

We plug in "4" for the value for " [tex]h[/tex] " ;

and performed the mathematical operations indicated.

________

 →   " [tex]1.9h + 3.5 =[/tex] [tex](1.9*4) + 3.5 = 7.6 +3.5 = 11.1[/tex] " .

________

The correct answer is:  " 11 .1 " .

________

Hope this is helpful to you!

 Best wishes!

________

Answer:

Yeah!!!you're right, it's -7

Step-by-step explanation:

-2c -5c+8-4 = 53

-7c +4 = 53

-7c = 53 - 4

-7c = 49

c = -7

Answer:

107520x6+89344x5−241808x4−55444x3+121478x2+6030x−12600

Step-by-step explanation:

brailiest

Answer:

nice

Step-by-step explanation:

Answer:

It´s going to be B

Step-by-step explanation:

Answer:

7.0681, 7.618, 7.6801, 7.681

Step-by-step explanation:

from the least (smallest) to the greatest (largest)

7.0681, 7.618, 7.6801, 7.681

Answer:

32,500

Step-by-step explanation:

Answer:

5x+y=5xy

Step-by-step explanation:

Answer:

your answer would be C hope it helps

Answer: B) 19

Step-by-step explanation:

To solve this problem, simply plug in -4 for x:

[tex]f(x)=x^{2} +3\\f(x)=(-4)^{2} +3\\f(x)=16+3\\f(x)=19[/tex]

Hope it helps :) and let me know if you want me to elaborate/explain further

Answer:

D. -13

Step-by-step explanation:

If you substitute -4 in for x you get -4^2+3, so when you simplify you get -16+3 which equals -13.

f(x)=x^2+3

f(-4)= -4^2+3

f(-4)= -16+3

f(-4)= -13

Answer:

Yes

Step-by-step explanation:

None of the x's repeat

Answer:

Step-by-step explanation:

(3a^4b^3)^3

=3^3a^4*3b^3*3

=27a^12b^9

Answer:

27(a^12)(b^9)

Step-by-step explanation:

Can be reorganized to (3^3)((a^4)^3)((b^3)^3)

27(a^12)(b^9)

Answer:

The answer would be C.

Step-by-step explanation:

0.2 x 5 = 1

1 x 5 =5

5 x 5 = 25

So your next number in the sequence should be 125.

Answer:66  dollars

Step-by-step explanation:110 - 44 = 66

The Pythagora´s Theorem, tell us that in a right triangle, the square of the hypothenuse (L²) is equal to :

L² = x² + y²

x  and y are the legs.

The solution is

dy/dt = 48.9 ft/s

We know that in a right triangle:

L²  = x² + y²      (1)

If the helicopter lifts off vertically, that means x ( the horizontal distance between the observing man and the helicopter, maintains constant).

According to that, if we get derivatives with respect to time on both sides of equation (1) we get:

2×L× dL/dt   = 0 + 2×y×dy/dt       (2)

And

L = √ ( 58)² + ( 113)²   = √12769 + 3364    = 127.02 ft

L = 127.02 ft   when y = 113 ft

Now in equation (2) we know:

y = 113 ft    dy/dt = 55 ft/s   L = 127.02  we look for dL/dt

Then by substitution

2×127.02 × dL/dt = 2×113×55

254.04× dL/dt   =  12430

dL/dt  = 48.92

dL/dt = 48.9 ft/s

Related Link : https://brainly.com/question/14988219?

Answer:

x=6

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

In the given triangle ABC in the figure, the value obtained for x will be equal to 6.

The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.

As per the given information in the question,

Use the equation of Pythagoras' theorem,

h² = p² + b²

(2x - 2)² = x² + (x - 2)²

4x² - 2(2x)(2) + 4 = x² + x² + 4 + 4x

4x² - 8x + 4 = 2x² + 4x + 4

4x² - 2x² - 8x - 4x + 4 - 4 = 0

2x² - 12x = 0

2x² - 12x = 0

2x(x - 6) = 0

So,

2x = 0

⇒ x = 0, it is not possible.

Or,

x - 6 = 0

x = 6

To know more about Triangle:

https://brainly.com/question/2773823

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The given question is incomplete, the complete question might be in the attachment.

Answer:

[tex] {x}^{2} + 2x + 2 = 0 \: no \: solution \\x + 5 = 0 - \: \: \: \: \: x = - 5 \\ sox = - 5 [/tex]

3

[tex] \sf \sqrt{x + 3 = 12} [/tex]

[tex] \sf = \sqrt{x = 12 - 3} [/tex]

[tex] \sf = \sqrt{x = 9} [/tex]

[tex] \sf = \sqrt{9} [/tex]

[tex] \sf = \sqrt{3 \times 3} [/tex]

= 3

The solution of the linear equation [tex]\sqrt{x+3} = 12[/tex]  for the variable, x is 141.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable

The solution of the equation can be calculated as:

[tex]\sqrt{x+3} = 12[/tex]

Squaring both side,

[tex]x+3 = (12)^2[/tex]

x+3 = 144

Subtract 3 from both the sides,

x = 141

The solution of the linear equation for the variable x is 141.

Learn more about equations here :

https://brainly.com/question/14686792

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Answer:

option 3 left bottom corner

Step-by-step explanation:

The general equation for a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where the center is (h,k) and the radius is r.

The equation we are given is:

[tex](x-2)^2+(y+3)^2=80[/tex]

From this, the center is (2,-3), and the radius is [tex]\sqrt{80}[/tex], or [tex]4\sqrt{5}[/tex].

Let me know if you have any questions, thanks!

Hey! Your answer to this would be -5x + 7y

Answer:

B-SAS

Step-by-step explanation:

Was right on acellus

Answer: y=3x-5

Step-by-step explanation: Find the slope of the original line. slope is m=3. Then use the point slope formula  [tex]y-y1=m(x-x1)[/tex] to find the line parallel to y=3x+4. Parallel lines have the same slope. so you substitute the given point (x1,y1)(1,-2) and slope m=3  into the point slope formula.

y-(-2)=3(x-1)  

y+2=3x-3  

y=3x-5

Answer:

Step-by-step explanation:

U ultra

Answer:

B

Step-by-step explanation:

Answer:

8.50x plus 13y equals 160