How much growth or decay is 50(1.05)^t<100

Answer:

A general sinusoidal equation is:

y = A*sin(w*x + p) + M

where:

A is the amplitude

w is the angular frequency

p is the phase shift

M is the midline.

Now, we know that:

Amplitude must be 6, so A = 6

period is 2*pi/3

Remember that the frequency is the inverse of the period, then:

f = 1/T

f = 1/(2*pi/3) = 3/(2*pi)

And the angular frequency is 2*pi times the normal frequency, then:

w = 2*pi*f = 2*pi*(3/2*pi) = 3

w = 3

Here we not have information about the midline, so M = 0.

And we know that the phase shift is one unit to the left.

Remember horizontal translations:

for a function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

if N > 0, then the translation is to the left

if N < 0 , then the translation is to the right,

Here we know that the phase shift is to the left, so p must be positive, and we know that the shift is 1 unit to the left, then:

p = +1

Replacing these in the equation we get:

y = 6*sin(3*x + 1) + 0

y = 6*sin(3*x + 1)

Answer:

b = 6

Step-by-step explanation:

solve the second equation for 'y':

-3x + 1/2y = -3

add 3x to each side to get:

1/2y = 3x - 3

multiply all terms by 2 to eliminate the denominator to get:

y = 6x - 6

now compare '6x-6' with '6x-b'

you want both expressions to be equal because then there are an infinite number of solutions:

b = 6

Answer:

i^3 = -i

Step-by-step explanation:

i^3

Rewriting as

i^2 *i

We know that i^2 = -1

-1 *i

-i

Answer:86.67

Step-by-step explanation:

156:180*100 =

(156*100):180 =

15600:180 = 86.67

hoped this helped :)

Answer:

x × y =3/4

Step-by-step explanation:

Product is the keyword and it is the answer to a multiplication equation. Thats why it is a multiplication symbol.

Have a great day! Late ik.

Lilac~

An algebraic expression for the given statement is 3/4 xy.

Given that, three-quarters is the product of two numbers x and y.

We need to write an algebraic expression for the given statement.

Algebraic expressions are the mathematical statement that we get when operations such as addition, subtraction, multiplication, division, etc. are operated upon on variables and constants.

Now, the product of two numbers x and y=xy

Three-quarters is the product of two numbers x and y=3/4 xy

Therefore, an algebraic expression for the given statement is 3/4 xy.

To learn more about an algebraic expression visit:

https://brainly.com/question/19245500.

#SPJ2

Label Base and Height please

Step-by-step explanation:

Answer:

Step-by-step explanation:

84 cents divided by 14 inches = 6 cents per inch

48 cents divided by 6 cents = 8 inches

8 inches of wire can be bought for 48 cents

Answer:

Step-by-step explanation:

D is the correct answer

Answer:

40 cupcakes

Step-by-step explanation:

Since 50% is chocolate and there is 20 chocolate then there are 40 cupcakes

Hope I helped!

Happy Pride Month

Answer:

40 cupcakes

Step-by-step explanation:

If 50% percent of the cupcakes are chocolate then 20 chocolate cupcakes are half of the total amount of cupcakes so multiply 20 by 2 and get 40 so there are 40 cupcakes in all.

Circumference of circle is 62.8 inches.

Step-by-step explanation:

Using Formula

Circumference of circle = 2 π r

Substitute the values

Circumference of circle = 2 × 3.14 × 10 inches.

multiply the numbers

Circumference of circle = 62.8 inches

Hence, the circumference of circle is 62.8 inches.

Answer:

0,1,2,3,4 all go in circle A and B which is the 4 boxes in the middle, but put zero in the box that is alone.

5,6,7 go in circle B

Step-by-step explanation:

Less than 5 is just 0,1,2,3,4.

A natural number is a number that is bigger than zero . so it is 1 and evrything higger than it

Answer:

18.84956- using π

Or

18.84- using 3.14

Step-by-step explanation:

Multiple the diameter 6m by π or 3.14

Answer:

A = 28.26 C = 18.84

Step-by-step explanation:

1/2(d) = 1/2(6) = 3

3 is the radius/r

π is said to be in this equation as 3.14

Calculate Area:

A = 1/4πd^2

A = 1/4(π6^2)

A = 1/4(π36)

A = 1/4(113.04)

A = 28.6

Calculate Circumference:

C = 2πr

C = 2(π3)

C = 2(9.42)

C = 18.84

Answer:

B and C

Step-by-step explanation:

Firstly do 16/4 which gives you 4 and then times that by 4 to give you 12 yards. Rinse and repeat this to find out how many yards are in each situation.

9514 1404 393

Answer:

  13311₅

Step-by-step explanation:

Each column gets the sum mod 5, with a carry to the next column of the quotient of the sum and 5. For example, in the units column, 2+4 = 11₅, so 1 is written in the units column as the sum, and 1 is carried to the 5s column (next one to the left).

Continuing in this fashion gives the sum 13311₅.

__

If you recognize that 3444₅ = 4000₅ -1, you can subtract 1 from 4312₅ and add 4 in the 5³ place (4th column from the right). That gives you ...

  4311₅ +4000₅ = 13311₅

_____

The base-5 addition table is attached.

Answer:767

Step-by-step explanation:

Answer:

D: - 2/7

Step-by-step explanation:

The gradient of the line is -2/7 because:

3-1 =2

-4-3=-7

2/-7

56 over 15

hope this help yoooooooooooooooooooo

Answer:

22/15

Step-by-step explanation:

(1/3 + 2/5) x (2 - 1/2) ÷ 3/4

=(5/15 + 5/15) x (4/2 - 1/2) ÷ 3/4

=11/15 x 3/2 ÷ 3/4

=11/15 x 3/2 x 4/3

=22/15

Hope this helps! Have a nice day!

Answer: The surface area (SA) would be 62 m.

Step-by-step explanation: The formula for surface area of a rectangular prism is SA= 2(length × width + height × length + width × height). We can   substitute the length, width and height into the problem and get

SA= 2(3×5 + 2×5 + 3×2). Using the order of operations (PEMDAS) we can simplify the problem down to SA= 2(15 + 10 + 6), then add up what is in the   parentheses and get SA= 2(31), and 2×31=62.

Answer:

107

Step-by-step explanation:

EFD + 135 = 180

EFD = 45

DEF + 28 + 45 = 180

DEF + 73 = 180

DEF = 107

Answer:

∠ DEF = 107°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

135° is an exterior angle of the triangle , then

∠ DEF + 28° = 135° ( subtract 28° from both sides )

∠ DEF = 107°

Answer:

use a midpoint formulae (X2+X1 /2 ; Y2 + Y1 /2 )

(-2+3/2 ; -2+4/2 )

X = 1/2 ; Y = 1

Answer:

5 + 9y

Step-by-step explanation:

When it says plus, it means +. When it says the product of 9 and y, it means 9 × y or 9y.

Answer:

15

Step-by-step explanation:

15 cubed (15×15×15) equals 3375

Answer:

Mean = 29

Step-by-step explanation:

Given that,

The numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25, and 27.

We need to find the mean of the cupcakes for a week.

We know that,

Mean = (sum of observations)/(no. of observations)

[tex]\text{Mean}=\dfrac{23+25+32+35+36+25+27}{7}\\\\=29[/tex]

So, the mean of cupcakes is 29.

Answer:

A (-1)

Step-by-step explanation:

If you look on number line -1 is more left (smaller).

Answer:

-1

Step-by-step explanation:

-1 is the smallest because 0 and 3 is bigger than -1 because it is a negative number and -1/2 is -0.5 which is bigger than -1. So answer is -1

Answer:

what kind of math is that?

Step-by-step explanation:

Answer:

Remainder = (-4)

Step-by-step explanation:

f(x) = 5[tex]x^{5} + 1[/tex]

x + 1 = 0

x = -1

f(-1) = 5*[tex](-1)^{5} + 1[/tex]

      = 5 * (-1) + 1

      = -5 +1

      = -4

Answer:

=12x-3

Step-by-step explanation:

Stick g(x) in for x in the function of f(x)

f(x) = -4x+5

g(x) = -3x+2

f(g(x)) = -4( -3x+2) +5

         = 12x -8+5

         =12x-3  

-2x+8y-3

Hope this helps! :)

Answer:

-2x + 8y -3

Step-by-step explanation:

-2x = -2x

2y + 6y = 8y

-3  = -3

Answer:

96 yd^2

Step-by-step explanation:

Multiply l • w: 3 • 8 = 24 in

Convert inches to yards using the scale on the right:

24 • 4 = 96 yd^2