Find the future value of an annuity due of $7,000 paid at the beginning of each 6-month period for 8 years if the interest rate is 8%, compounded semiannually. (Round your answer to the nearest cent.)

Answer:

here,

L.H.S;

1-tanA / 1+tanA

=1-1/cotA / 1+1/cotA

= cotA-1/cotA / cotA+1/cotA

=cotA-1 / cotA+1

= R.H.S

proved

Answer:

if it's a math proof, i will think this is answer

Step-by-step explanation:

Answer:

The question is asking for the perimeter. There are three ways to answer this depending on the assumptions though so I'll let you choose.

Assumptions are basically the different scenarios

1st scenario being the trim covers the carpet and the tile, they'd need 48m of trim (12+12+4+8+8+4)

2nd scenario in which the trim covers the carpet but not the tiled area, they'd need 44m of trim (12+12+4+8)

3rd scenario where the trim only covers the the tiled area, 4m of trim

(just 4 since the tile only touches 4m of the wall)

Hope this helps!

Step-by-step explanation:

trim is just the perimeter since it covers the base of the wall

Answer:

a.

[tex]{ \tt{3x - 6y + 8 = 0}} \\ { \tt{ 6y = 3x - 8}} \\ { \boxed{ \bf{y = \frac{1}{2} x - \frac{4}{3} }}}[/tex]

b.

[tex]{ \tt{ - 2x - 5y - 2 = 0}} \\ { \tt{5y = - 2x + 2}} \\ { \boxed{ \bf{y = - \frac{ 2}{5} x + \frac{2}{5} }}}[/tex]

Answer:

11/12

Step-by-step explanation:

2/3 + 1/4

Get a common denominator of 12

2/3 *4/4   + 1/4 *3/3

8/12 + 3/12

11/12

Answer:

70°

Step-by-step explanation:

m<13 + m<14 = 180

So, 12x-22+9x-29=180

or, 21x=180+29+22

or, 21x=231

or, x=11

now m<2=<m14=9x-29

or, m<2=9×11-29=70°

Answered by GAUTHMATH

Answer:

V = 7234.56 km^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 (3.14) (12)^3

V = 7234.56 km^3

Answer:

7234, 56 km³

Step-by-step explanation:

π×R³×4/3=3.14×1728×4/3=7234, 56 km³

Answer:

Use this rule : cosx = sin (90 - x)

sin( x -70) = sin (90 - x)

x-70 = 90 - x

2x = 160

x = 80

Answer:

x = 100

Step-by-step explanation:

(100-40)/2

= 60/2

= 30

So it's 100

Answered by GAUTHMATH

Answer:

[tex]\sqrt[3]{x^{5}y} = x^{\frac{5}{3}}y^\frac{1}{3}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt[3]{x^{5}y}[/tex]

Required

The equivalent expression

We have:

[tex]\sqrt[3]{x^{5}y}[/tex]

Rewrite as an exponent

[tex]\sqrt[3]{x^{5}y} = (x^{5}y)^\frac{1}{3}[/tex]

Open bracket

[tex]\sqrt[3]{x^{5}y} = x^{5*\frac{1}{3}}y^\frac{1}{3}[/tex]

[tex]\sqrt[3]{x^{5}y} = x^{\frac{5}{3}}y^\frac{1}{3}[/tex]

Answer:

3

Step-by-step explanation:

Intercept theorem

DE // CB ⇒ [tex]\frac{AD}{AC} = \frac{AE}{AB}[/tex]

⇒ [tex]\frac{6}{6+?} =\frac{4}{4+2}[/tex]

⇒ ? = 3

Answer:

sin theta = -2 sqrt(14)/15

Step-by-step explanation:

cos theta = adj / hyp

We can find the opp side by using the Pythagorean theorem

adj ^2 + opp ^2 = hyp^2

(-13)^2 + opp ^2 = 15^2

169 + opp ^2 = 225

opp ^2 = 225 -169

opp ^2 =56

Taking the square root of each side

sqrt( opp^2) = sqrt(56)

opp = sqrt(4 * 14)

opp = 2 sqrt(14)

Since we are in the third quadrant opp is negative

opp = -2 sqrt(14)

We know

sin theta = opp / hyp

sin theta = -2 sqrt(14)/15

Given that :

[tex] \frak {\cos( \theta_{1} ) = - \frac{13}{15} }[/tex]

To find :

[tex] \frak{ sin( \theta_{1} )}[/tex]

We know that cos θ is base/hypotentuse

So, here the base is -13 and the hypotentuse is 15

As we got the base and hypotentuse, perpendicular needs to be found out

Now, applying Pythagoras Theorem

According to Pythagoras theorem we know that :

Let us assume perpendicular be x

Putting the values we get

By transposing we get

sin θ formula : Perpendicular/Hypotentuse

[tex] \star \: \: \underline{ \overline{ \boxed{ \frak{ sin (\theta_{1})} = \frac{-2 \sqrt{14} }{15} }}}[/tex]

Hence, the answer is -2√14/15

Answer:

 3/7

Step-by-step explanation:

I think its only 3/7

Cause 9/18=1/2

3/5=0.6

2/10=1/5

and 8/24=1/3

Answer:

[tex] \frac{8}{24} [/tex]

[tex] \frac{2}{10} [/tex]

[tex] \frac{9}{18} [/tex]

Answer: (13,-7)

Step-by-step explanation:

By using the formula [tex](x_{m},y_{m}) =(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2} )[/tex]

[tex](x_{m},y_{m})\\[/tex] is the coordinates of the midpoint.

For finding the midpoint X variable do:

[tex](\frac{4+22}{2})=13[/tex]

For finding the midpoint Y variable do:

[tex]\frac{-10+(-4)}{2} = -7[/tex] (you can either keep the parenthesis or take them out. Either way, the answer is the same.

Considering coordinate numbers follow the format: (x,y), you'll simply just substitute the numbers found above into their respective places.

x: 13

y: -7

(13,-7).

Answer:

Plan B

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

vì số âm không nằm ở dưới

Answer:

Step-by-step explanation:

Answer:

B. SAS

Step-by-step explanation:

Ratio of sides equal:

• 4/2= 6/3

So the 2 sides are congruent and also share same angle between.

• B. SAS is the similarity reason

Answer:

(4,1)

Step-by-step explanation:

(4,1) is the correct answer. Answered by Gauthmath

Alright, let's do some math!

We know that the constant is = 25, and that for every 1 year it grows by 80.

So, we can create the formula h= 80y+25. This is a really simple way of saying that h is equal to 80 x the value of y + the base of 25.

Now we just need to plug in the numbers and we will get our answers!

y=5    80(5)+25= 425

y=7    80(7)+25= 585

y=9    80(9)+25= 745

y=10    80(10)+25= 825

I hope this helps! :)

Answer:

y=5,h=345. y=7, h=505. y=9, h=665. y=10, h=745.

Step-by-step explanation:

y=5

Add 320 to when it was first planted.

y=7

Add 160 to when y=5.

y=9

Add 160 to when y=7.

y=10

Add 80 to when y=9.

Answer:

Step-by-step explanation:

Step-by-step explanation:

y+80+70=180

y+150=180

y=30

Now you can, easily find x

Answer:

exponential growth

Step-by-step explanation:

f(x) is in the form  a* b^x

where a is the initial value and b is the growth/ decay factor

since b > 1 it is growth

This is the exponential form of a function

We have exponential growth

Answer:

A

Step-by-step explanation:

A negative slope goes down from left to right

A positive slope goes up from left to right

A zero slope is a horizontal line

An undefined slope is a vertical line

A  is a line that goes down from left to right

Answer:

Sin(?)=35/48

?=Sin^-1(35/48)

?=46.82

? ≈ 47

OAmalOHopeO

Answer:

In the other polygon which is smaller you just half the size of the larger one like 12 became 5 and 6 became 3 so 14 will also be halved and the answer will be

7

The required area of the figure is 5 square yards.

Area of rectangle is defined as product of the length and width.

Suppose a rectangle and a square has been removed from rectangle.

Length of rectangle = 3  yards

Width of rectangle 2 yards

Length of square = 1 yards

Area of rectangle = 3 × 2 = 6 square yards

Area of square = 1 × 1 = 1 square yards

The required area of the figure = area of rectangle - area of square

Substitute the values

The required area of the figure = 6 - 1

The required area of the figure = 5 square yards

Hence, the required area of the figure is 5 square yards.

Learn more about Area of rectangle here:

brainly.com/question/20693059

#SPJ2

Answer:

Samuel had RM8 previously

Step-by-step explanation:

24÷3=8

Answer:

The equation 31=2c-7 to determine the number of points Carlos scored in the last game.

Step-by-step explanation:

We are given with,(I think every number is repeating for 3 times. So, I took each number as once)

Fabio had 7 less than 2 times as many points as Carlos. And Fabio score 31 points.

Let Carlos scored in the last game as "C".

So, we can set up equation for Fabio had 7 less than 2 times Carlos as

Fabio= 2C-7

Like so for Fabio score 31 as

Fabio =31

So, substitute Fabio as 31 into the first equation, we get

31= 2c-7

So, the equation 31=2c-7 to determine the number of points Carlos scored in the last game.