1. Doug invested $2,500 into a Certificate of Deposit earning 6.5% interest. How long will it take to
double Doug's investment?

Answer:

Equivalent fractions

3/10 = 6/20

1/4 = 5/20

4/5 = 16/20

Step-by-step explanation:

For

3/10

We Multiply numerator and Denominator by 2

= 3×2/10 × 2

= 6/20

For 1/4

We Multiply numerator and Denominator by 5

= 1×5/4× 5

= 5/20

For 4/5

We Multiply numerator and Denominator by 4

= 4×4/5× 4

4/5 = 16/20

Answer:

80 cubic units

Step-by-step explanation:

Volume of rectangular pyramid = ⅓*L*W*H

L = 8 units

W = 5 units

H = OP = 6 units

Plug in the values into the equation

Volume = ⅓*8*5*6

Volume = 80 cubic units

Answer:

An unknown variable

Step-by-step explanation:

r is an unknown variable -> the equation is used to solve for it.

Answer:

In math, r usually stands for radius.

Step-by-step explanation:

Answer:

x = 5, ST = 45

Step-by-step explanation:

Given that m bisects SU, then

ST = TU , that is

9x = 4x + 25 ( subtract 4x from both sides )

5x = 25 ( divide both sides by 5 )

x = 5

Thus

ST = 9x = 9 × 5 = 45

Answer:

x = 36

Step-by-step explanation:

The total angles of a triangle is 180 degrees

(2x - 17) + (x + 53) + x = 180

2x - 17 + x + 53 + x = 180

4x + 36 = 180

Subtract 36 from both sides;

4x = 144

Divide both sides by 4;

x = 36

Step-by-step explanation:

Hey there!

Given eqautions are:

y = 2x + 1......... (i)

y = 4x - 3...........(ii)

Putting eqaution (ii) in eqaution (i), we get;

4x - 3 = 2x + 1

~ Keep like terms on same side.

4x - 2x = 1+3

~ Perform operations. ( +, -, *, /)

2x = 4

x= 4/2

Therefore, X= 2.

Putting the value of X in eqaution (i)

y = 2x+1

y = 2*2+1

Therefore, y= 5.

Therefore, the ordered pair is (2,5).

Hope it helps...

Which of the following ordered pairs are solutions to the system of equations below? y = 2x + 1 and y = 4x – 3 (1,4) (4,5) (2,5) (3,7)

Step-by-step explanation:

Hey there!

Given eqautions are:

y = 2x + 1......... (i)

y = 4x - 3...........(ii)

Putting eqaution (ii) in eqaution (i), we get;

4x - 3 = 2x + 1

~ Keep like terms on same side.

4x - 2x = 1+3

~ Perform operations. ( +, -, *, /)

2x = 4

x= 4/2

Therefore, X= 2.

Putting the value of X in eqaution (i)

y = 2x+1

y = 2*2+1

Therefore, y= 5.

Therefore, the ordered pair is (2,5).

Hope it helps...

Using compound interest, it is found that Melanie would need to invest a value of $7,710.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In this problem, we have that:

Hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]11900 = P\left(1 + \frac{0.031}{365}\right)^{365(14)}[/tex]

[tex]1.54339P = 11900[/tex]

[tex]P = \frac{11900}{1.54339}[/tex]

[tex]P = 7710[/tex]

Melanie would need to invest a value of $7,710.

To learn more about compound interest, you can take a look at https://brainly.com/question/25781328

Answer: p = 4

Step-by-step explanation:

For app one, you start with 140 points, and you lose 10 each time you check your phone.

Then, if you check your phone x times, you will have:

140 - x*10 points in total.

For app two, you start with 80 points, and you lose p points each time you check your phone.

Then, if you check your phone x times, you will have:

80 - x*p points left

We know that when x = 10, you have the same number of points in both apps, then we have the equation:

140 - (10)*10 = 80 - (10)*p

We can solve this for p

140 - 10*10 = 80 - 10*p

140 - 100 = 80 - 10*p

40 = 80 - 10*p

10*p = 80 - 40

10*p = 40

p = 40/10 = 4

Answer:

6 -6 -4

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

[tex] \sqrt{100} = 10[/tex]

Hope it helps you in your learning process.

Answer:

Step-by-step explanation:

Answer:

n=22

Step-by-step explanation:

(x^4)(x^3)^6=x^n

x^4*x^18=x^n

since the bases are the same, then equate the powers.

4+18=n

n=22

Given:

Seeds planted = [tex]1\dfrac{2}{3}[/tex] rows

Crows ate = [tex]1\dfrac{1}{5}[/tex] rows

To find:

The remaining rows of seeds.

Solution:

According to the question,

Remaining rows of seeds = Seeds planted - Crows ate

                                          [tex]=1\dfrac{2}{3}-1\dfrac{1}{5}[/tex]

                                          [tex]=\dfrac{1(3)+2}{3}-\dfrac{1(5)+1}{5}[/tex]

                                          [tex]=\dfrac{3+2}{3}-\dfrac{5+1}{5}[/tex]

                                          [tex]=\dfrac{5}{3}-\dfrac{6}{5}[/tex]

Taking LCM, we get

[tex]=\dfrac{5(5)-3(6)}{15}[/tex]

[tex]=\dfrac{25-18}{15}[/tex]

[tex]=\dfrac{7}{15}[/tex]

Therefore, [tex]\dfrac{7}{15}[/tex] rows of seeds are left.

Answer:

[tex]\frac{x+9}{x+3}[/tex] , x ≠ - 3 ;

Step-by-step explanation:

f(x) = x³ + 9x² - 25x - 225 = (x + 9)(x + 5)(x - 5)

g(x) = x³ + 3x² - 25x - 75 = (x + 5)(x + 3)(x - 5)

( [tex]\frac{f}{g}[/tex] )(x) = [tex]\frac{(x+9)(x+5)(x-5)}{(x +5)(x+3)(x-5)}[/tex] = [tex]\frac{x+9}{x+3}[/tex] , x ≠ - 3

Answer:

The answer is 180 degrees.

Step-by-step explanation:

The rotation that maps one side to an adjacent side is 360°/6 = 60°. This is the least rotation that plots the regular hexagon to the aforementioned. In the least whole number of these minimum rotations, such as three 60° rotations to make 180°, will retain the hexagon identical.

Please mark me brainliest and have a awesome day! :D

Step-by-step explanation:

This is a case of conditional probability, in which we have to find the probability of ocurance of event E when when event F has already ocured.

To find the probability of at least one of something, calculate the probability of none and then subtract that result from 1.

That is, P(at least one) = 1 – P(none)

Answer:

times 4 or multiply by 4each time

Answer:

What are you asking

Step-by-step explanation:

Answer:

h(-6) = -4

Step-by-step explanation:

just plug in -6 where you see "x" and you get

3(-6) -2 / 5 and you get

multiply

-18 -2 / 5

subtract

-20 / 5

your final answer is

h(-6) = -4

Step-by-step explanation:

[tex]2x + 8 = 8x - 4 \\ 2x - 8x = - 8 - 4 \\ - 6x = - 12 \\ 6x = 12 \\ \\ x = {2} [/tex]

Answer:

1/3

Step-by-step explanation:

-4/15+3/5

-4/15+3×3/5×3

-4/15+9/15

-4+9/15

5/15

1/3

Hope this helps!

Answer:

1/3

Step-by-step explanation:

-4/15+3/5

-4/15+3×3/5×3

-4/15+9/15

-4+9/15

5/15

1/3

Answer:

(0,3)

Step-by-step explanation:

the x intercept is where the line crosses x which is at (0,3)

Answer:

i think it's 0, 3 for the answer

Answer: Your answer is 61.25cm hope this helps!

Answer:(a)

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) The function f(x) = x is a straight line rising to the right and passing through the origin at an angle of 45 degrees This means this it passes though the points  .....   (-2, -2),  (-1, -1),  (1, 1),  (2, 2) .......

If g(x) = f(x) + 4 then g(x) will be a straight line parallel to f(x) where each point on g(x) is   4 units vertically up from each point on f(x). Its a translation of f(x) up 4 units.

The slope of both graphs is 1.

2) This line (g)x passes through the origin but has slope 1/3.

Answer:

put a circle, *fill it in, on -9

then, make it pointed towards the right

Step-by-step explanation:

652.50

Step-by-step explanation:

1450 x .09 x 5 = 652.50