If Ambrea deposits $4000 in the bank and there is a 3% interest rate, how long will it take her to save $7000

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:

Step-by-step explanation:

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:

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:

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.

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:

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:

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

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

x-70 = 90 - x

2x = 160

x = 80

Answer:

Plan B

Step-by-step explanation:

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:

a

Step-by-step explanation:

vì số âm không nằm ở dưới

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:

 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]

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:

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]

Step-by-step explanation:

y+80+70=180

y+150=180

y=30

Now you can, easily find x

Answer:

(4,1)

Step-by-step explanation:

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

Answer:

4

Step-by-step explanation:

Let the number = x

Added to 11 = 11+x

Multiply result by 3 = 3(11+x)

Final result = 45

Solving

3(11 + x) =45

33 +3x = 45

3x= 45-33

3x=12

X=4 by dividing both side by 3

Answer:

Sin(?)=35/48

?=Sin^-1(35/48)

?=46.82

? ≈ 47

OAmalOHopeO

Answer:

x = 100

Step-by-step explanation:

(100-40)/2

= 60/2

= 30

So it's 100

Answered by GAUTHMATH

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: (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:

b

Step-by-step explanation:

A parabola represents a quadratic equation. For a point called the focus and a line called the directrix, the distance from each point of the parabola to the focus is equal to its distance to the directrix. For example, if the directrix of the parabola was y=0 and the focus was (1,1), the distance between each point on the parabola to (1,1) would be equal to its distance from the line y=0.

For a parabola that has a horizontal axis of symmetry (or when y² is in the equation rather than x²), one way to write its equation is of the form

(y-k)²  =4p(x-h), where (h,k) is the vertex. Now, we can try to match up this form with the equation we have,

y² = 24x

(y-k)² = 4p(x-h)

We can start by setting both sides with y equal to each other, as well as both sides containing x

y² = (y-k)²

square root both sides

y = y-k

k=0

24x = 4p(x-h)

divide both sides by 4

6x = p(x-h)

expand

6x = p*x - p*h

Because p*h does not contain an x value, we can say

6x = p * x

p = 6

6x = p*x - p*h

6x = 6x-6*h

subtract 6x from both sidex

6*h=0

h=0

Our equation is thus

y= 4(6)(x), with our vertex being (0,0) = (h,k)

The directrix is equal to x=h-p, and with p being 6, our directrix is thus

x=0-6 = -6

x=-6

Answer:

Samuel had RM8 previously

Step-by-step explanation:

24÷3=8

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:

+0.25

Step-by-step explanation:

Calculation to determine the drift of such a process

Using this formula

Drift=(Increases in stock price*50%)- (Decreases in stock price *50%)

Let plug in the formula

Drift = (0.5)(1.25) + (0.5)(-0.75)

Drift =0.625+ (0.375)

Drift = +0.25%

Therefore the drift of such a process is +0.25

Answer:

217.5

Step-by-step explanation:

There are two ways to do this problem, first dividing to find the missing value. It will look like this:

217.5 ÷ 30 = 7.25

Or, using random numbers and multiplying it by 30, which is like this:

30 × 10 = 300

30 × 4 = 120

30 × 7 = 210

30 × 7.1 = 213

30 × 7.25 = 217.5

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