Over the last 16 years Johanna saved some of her pay each month. She now has $46000. She decided to invest some of it at 5.25%

Answer:

$253.5

Step-by-step explanation:

195 x .3 = 58.5

58.5 + 195 = $253.5

Note that √((1 - x)/x) is defined only as long as 0 < x ≤ 1.

Consider a right triangle with reference angle θ such that

[tex]\cot(\theta) = \sqrt{\dfrac{1-x}x}[/tex]

In other words, on an appropriate domain,

[tex]\theta = \cot^{-1}\left(\sqrt{\dfrac{1-x}x}\right)[/tex]

In such a triangle, you would find that

[tex]\sin(\theta) = \sqrt x[/tex]

so f(x) reduces a bit to

[tex]f(x) = \cos\left(2 \tan^{-1}(\sqrt x)\right)[/tex]

Now consider another triangle with reference angle ɸ such that

[tex]\tan(\phi) = \sqrt x \implies \phi = \tan^{-1}(\sqrt x)[/tex]

In this triangle, you would find

[tex]\cos(\phi) = \dfrac1{\sqrt{1+x}}[/tex]

Recalling the double angle identity for cosine, it follows that

[tex]f(x) = \cos(2\phi) = 2 \cos^2(\phi) - 1 = \dfrac{1-x}{1+x}[/tex]

Differentiating with respect to x yields

[tex]f'(x) = -\dfrac2{(1+x)^2}[/tex]

while

[tex]f(x)^2 = \dfrac{(1-x)^2}{(1+x)^2}[/tex]

It follows that

[tex]f'(x)(x-1)^2 - 2f(x)^2 = 0[/tex]

so B is the correct choice.

Answer:

8. Joel will not form a right triangle.

9.20 minutes

Step-by-step explanation:

8. First use theorem

Right triangle theorem

c²=a²+b²

c=20 ft

a=8ft

b=15 ft

20² =8²+15²

simplify

400= 64+225

400 does not = 289

9.

Part B)

if Joel cut the longest piece of fencing in order to make a right triangle

longest part is 17^2

a²+b²=289

c²=√289

c=17 ft

the perimeter of the fence is

a+b+c

17+8+15

perimeter is

40 ft

30 sec to install 40 ft(perimeter)

x=40*30

x=1200 seconds

x=1200/60 in minutes

x=20 minutes

The total amount of money in Mr Baldera's savings account at this point in time is $3231.33.

The formula that can be used to determine the future value with annual compounding is:

FV = P (1 + r)^n

150 x (1.0674)^47 = $3231.33.

To learn more about future value, please check: https://brainly.com/question/18760477

Answer: 10, And i dont know how to really explain but the answer is 10

Answer:

F(5)=11.25

Step-by-step explanation:

I'm like 80% sure this is right, and I hope it helps.

First I did 9/4 which equals 2.25. and that would be F(1)

then added 2.25 to 9 which equals 11.25

multiplying 2.25 by 5 would also equal 11.25.

I did 5 because, on a number line, 5 comes after 4.

Answer:

-c is the blank and a+b is variables of real numbers.

Step-by-step explanation:

A real number is a value of a continuous quantity that can represent a distance.

However equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.

Step-by-step explanation:

You know that the three lines are parallel.

There weren't really any specific instructions so I'd assume that we're trying to find the lines. They are all in the same thing, as shown, one is 21 and the other is 12. That means the parallel line is cutting of 9.

We can then assume 2x+2-9=x+3

Then, to solve, you can get 2x-7=x+3

X=10

Hope this helped!

I'm a bit confused, but hope this helped again!

AE= 17.4 to nearest tenth

Step-by-step explanation:

Opposite + hypotenuse = SOH / sin

Sin 31 = 6/h

xh, then ÷ sin31

H= 6/sin31

H= 11.649....(a or b & 6 being a or b)

a^2 + b^2 = c^2

c = 13.1

Actually it's not a right-angle triangle

180 - 13+31 (or 44) = 136 degrees

Cosine rule: a^2=b^2+c^2 - 2bc cosA

AE = root 11.649...^2 + 7^2 - 2x11.649...x7xcos136

= 17.3791......

AE= 17.4 to nearest tenth

Hope this helps!

Answer:

right angle triangle

Step-by-step explanation:

by applying Pythagoras theorem

[tex] RHS ={9}^{2} + 12 ^{2} = 81 + 144 = 225=√225 =15=LHS[/tex]

hence proved

Answer:

176.6 dm^2

Step-by-step explanation:

See attached image.

3 ¾

Step-by-step explanation:

-3½+4¼=-²/⁴ +17/4=15/4

3¾

Answer:

5/4 or 1 1/4

Step-by-step explanation:

-3 1/2 - (-4 1/4) multiply the number by the denominator and add the numerator: -3*2 = -6 + 1 = -5 same for the other...

-5/2 - (-15/4) now you need the same least common denominator...

-10/4 + 15/4

= 5/4 or 1 1/4

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

8x+10y=-8

Step-by-step explanation:

5x+3x=8x

4y+6y=10y

-14+6=-8

Answer:

A= 314.159 m2

Step-by-step explanation:

Simple Give Brainliest Please

Answer:

Split brackets method see below

Step-by-step explanation:

Answer: Your answer is X=-63

Hope this helps!

Answer:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

Step-by-step explanation:

Answer:

C. 28

Step-by-step explanation:

According to the provided figure :

The measure of the angle EFG equal to the measure of the angle EFH

Which means 2(x + 2) = 60

2(x + 2) = 60

Then

2x + 4 = 60

Then

2x = 60 - 4

Then

2x = 56

Then

x = 56/2

Then

x = 28

Answer:

7.89 births per minute

Step-by-step explanation:

525600 minutes in a year

4,148,000 divided by 525600 =

7.89193302892

Answer:

1=32

2=44

3=56

4=70

Step-by-step explanation:

if need working please ask

Based on the marginal revenue function for the clothing manufacturer, the total revenue from selling 60 suits is $1,440.

The marginal revenue function of 30 - 0.2x is the differentiated revenue function.

Performing an integration will therefore give us the revenue function as:

= 30x - 0.1x²

Now that we have the revenue function and know that x = 60 suits, the revenue is:

= (30 x 60) - (0.1 x 60²)

= 1,800 - 360

= $1,440

Find out more on the revenue function at https://brainly.com/question/19755858.

Heya !

Given two points A ( 8 , -4 ) and B ( 1 , - 5 )

To find - slope of line AB

Solution -

[tex] Slope = \frac{y_{2}-y_{1}}{x_{2} - x_{1}} \\ \\ \dashrightarrow \frac{ -5 - (-4 )}{ 1 - 8 } \\ \\ \dashrightarrow \frac{ - 5 + 4 }{ 1 - 8 } \\ \\ \dashrightarrow \frac{-1}{-7} \\ \\ \dashrightarrow \frac{1}{7}[/tex]

Hence ,

Option ( c ) is correct.

Hope helpful ~

Answer:

it's obtuse angle...

mark me brainliest

= Obtuse triangle

 (a triangle in which one of the interior angles measures more than 90° degrees.)

Answer:

I think it would be 9 meters.

Step-by-step explanation:

5x2=10

28-10=18

18(divided by)2=9 meters

Answer:

9 meters long

Step-by-step explanation:

the perimeter is 28 meters. itts 5 meters wide and itt is recttangle so itt have two of the same width. so now 5x2=10 and 28-10=18 now 18/2=9. please mark me brainliest if i got it correct

Answer:

A. in Step 3

Step-by-step explanation:

It is factored correctly. Then separated into two smaller equations correctly. But in solving x + 10 = 0, there is an error.

x + 10 = 0

Add -10 to both sides.

x = -10

So, the error is in step 3.

Answer:

A . In Step 3.

Step-by-step explanation:

In step 3 the student went wrong

x = 4 or x = -10 is correct

( if x + 10 = 0, then x = -10)

Answer:

38.6 in^2

Step-by-step explanation:

Find the third side using law of cosines

11.1^2 + 7^2 - 2(11.1)(7)cos 84   = x^2

  x = 12.49

semi perimeter =  (11.1 + 7 + 12.49)/2 = 15.29

Heron's formula for triangle area with 3 side lengths given

sqrt( ( 15.29)(15.29-11.1)(15.29-7)(15.29-12.49) ) = 38.56 in^2

Answer: if that is easy why don't you do it anyways it's x=2(y−6)

Step-by-step explanation: y=

2

1

​

x+6

Swap sides so that all variable terms are on the left hand side.

2

1

​

x+6=y

Subtract 6 from both sides.

2

1

​

x=y−6

Multiply both sides by 2.

2

1

​

2

1

​

x

​

=

2

1

​

y−6

​

Dividing by  

2

1

​

 undoes the multiplication by  

2

1

​

.

x=

2

1

​

y−6

​

Divide y−6 by  

2

1

​

 by multiplying y−6 by the reciprocal of  

2

1

​

.

x=2y−12

SOLVE FOR Y

y=

2

x+12

​