Phillip deposited $5,670 into a savings account 19 years ago. The account has an interest rate of 4.1% and the balance is currently $12,356.04. How often does the
interest compound?

Answer:

Hey there!

The graph has a y-intercept of (0,5), and increases with a common ratio of 5. (For example, it increases from 3, 15, 75, and the common ratio is 5.  

Hope this helps :)

Answer:4/12

Step1- 3 times 4 is 12

Step2- count how many twelvths are shaded

Step3- 4 twelvths are shaded

Answer: 4/12

Answer:

C. 1/3 square yard

Step-by-step explanation:

Given:

To find:

Solution:

The shaded region is a rectangle. Area of a rectangle is the product of the length and width:

Answer choice: C. 1/3 square yard

Answer:

E            H

F            F

G           E

I hope I helped.

Answer:

21 members

Step-by-step explanation:

Jake's club

Total number of members = 35

percentage of members required to be present for any vote = 60%

= 60/100 × 35

= 0.6 × 35

= 21

Answer:

(i) (m-3)(2n+m) (ii) (2y+9)(2y-9) (iii) (t-4)(t-2)

Step-by-step explanation:

2mn+m^2-6n-3m

m(2n+m)-3(2n+m)

(m-3)(2n+m)

Answer: (m-3)(2n+m)

------------------------------

4y^2-81

(2y+9)(2y-9)

Answer: (2y+9)(2y-9)

-------------------------------

t^2-6t+8

(t-4)(t-2)

Factors of the given equations are

(i) (2n +m)(m - 3)  

(ii) (2y-9)(2y + 9)

(iii) (t -4) (t - 2)

" Factorization is the process of breaking down large number or quantity into a smaller number or quantity."

Formula used

(a² - b²) = (a -b) (a +b)

According to the question,

(i) 2mn + m² -6n -3m

= m (2n +m) - 3 (2n +m)

= (2n + m) (m - 3)

(ii) 4y² - 81

 = (2y)² - (9)²

= (2y - 9) (2y + 9)

(iii) t² - 6t +8

  = t² - 4t - 2t + 8

  = t (t - 4) -2 (t - 4)

  = (t -4) (t -2)

Hence, Factors of the given equations are

(i) (2n +m)(m - 3)  

(ii) (2y-9)(2y + 9)

(iii) (t -4) (t - 2)

Learn more about factorization here

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Answer:

Bottom right.

Step-by-step explanation:

The bottom right stem-and-leaf plot is the best data set because the data is unimodal and centered, so the mean absolute deviation will be the smallest. To verify this algebraically, you can find the mean of the data set. Once you have done that, you can find the absolute value of the difference between each data value and the mean: |data value – mean|.

Answer:

Option (A)

Step-by-step explanation:

To find the value of 'a' we will use the tangent-chord theorem,

"Angle formed by the chord and a tangent to the circle measure the half of the intercepted minor arc"

Angle 'a' is formed between the chord and the tangent.

Measure of the intercepted arc = (2 × 52)°

Therefore, measure of the angle 'a' = [tex]\frac{104}{2}[/tex]

a = 52°

Therefore, Option (A) will be the correct option.

Answer:

D. 100°

Step-by-step explanation:

Refer to picture attached

Lines QP and QR are tangent to radius of circle.

Triangles ΔQPO and ΔQRO are right triangles and line QO bisects angles of ∠PQR and ∠POR.

So as per sum of angles in right triangle, we have:

Then:

Correct answer choice is D. 100°

Answer:

Part A: 5 inches³.

Part B: 302 inches³.

Part C: Yes. Explanation below.

Step-by-step explanation:

Part A: The cookie sandwiches appear to be flat cylinders. The volume for a cylinder is pi * r^2 * h.

In this case, the h = 1 inch and r = 1.25 inches.

pi * 1.25^2 * 1

= pi * 1.5625

= 3.14 * 1.5625

= 4.90625.

So, the volume of a single cookie sandwich is about 5 inches³.

Part B: As stated before, the volume of a cylinder is pi * r^2 * h.

In this case, the r = 4.5 inches, and the h = 4.75 inches.

pi * 4.5^2 * 4.75

= 3.14 * 20.25 * 4.75

= 63.585 * 4.75

= 302.02875.

So, the volume of the food storage container is about 302 inches³.

Part C: Given the calculations from Parts A and B, Jenny will be able to transport all the cookie sandwiches in the food storage container. This is because there are 56 cookie sandwiches, each with a volume of 5 cubic inches. That means that the cookie sandwiches will take up 5 * 56 = 280 cubic inches of space. There is about 302 cubic inches of space in the container, so there will still be 22 cubic inches of air inside the container after the cookies are inside.

Hope this helps!

Answer:

Part A: 5 inches^3

Part B: 302 inches^3

Part C: Yes, Jenny will be able to transport all the cookie sandwiches in the food container. This is because there are 56 cookie sandwiches and they each have a volume of 5 cubic inches. So, 56 times 5 equals 280 cubic inches of space. There are 302 cubic inches inside the container, so all the cookie sandwiches will fit inside.

Answer: D) 48 inches by 64 inches

=============================================

Explanation:

The scale factor is 1/4 = 0.25, meaning that the original preimage is larger and it is reduced to get the image. The reduced width is 12, so the original width is 12/0.25 = 48 inches. The reduced length is 16 making the original to be 16/0.25 = 64.

--------

note that

48*0.25 = 12

64*0.25 = 16

showing how a 48 by 64 rectangle is reduced to a 12 by 16 rectangle after applying the scale factor to each dimension

Answer:

887/990

Step-by-step explanation:

0.8959595....

895.95 - 8.95 = 887

1000 - 10 = 990

Answer:

[tex]\huge\boxed{x = \frac{887}{990}}[/tex]

Step-by-step explanation:

The number given is 0.895..........

Let x = 0.895........

Then

10x = 8.95.......   --------(1)

1000x = 985.95........   --------(2)

Subtracting (1) from (2)

1000x - 10x = 985.95..... - 8.95......

990 x = 887

Dividing both sides by 990

[tex]x = \frac{887}{990}[/tex]   (In simplest form)

Answer:

Domain { -1,0,2,4}

Step-by-step explanation:

{(2, -3),(-1,0), (0,4),(-1,5),(4, -2)}

The domain is the input values

Domain { 2,-1,0,-1,4}

We normally write them in order from smallest to largest and no repeating

Domain { -1,0,2,4}

Answer:

[tex]\large \boxed{\sf D. \ \{2,-1,0,4\}}[/tex]

Step-by-step explanation:

The domain are all possible values of x.

[tex]\{(2, -3),(-1,0), (0,4),(-1,5),(4, -2)\}[/tex]

The x values are 2, -1, 0, -1, and 4.

The domain of the set is {2,-1,0,4}​.

Answer:

The third graph from the left.

Step-by-step explanation:

The points are located on the graph that was given below. Then the correct option is C.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The points are given below.

P(5, 6) and Q(3, -4)

Point P is located by moving 5 units towards the left and 6 units upwards.

Point Q is located by moving 3 units towards the right and 4 units downwards.

The points are located on the graph that was given below.

Then the correct option is C.

More about the coordinate geometry link is given below.

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Answer:

Width: 4

Length: 6

Step-by-step explanation:

We can create a systems of equations for this problem, assuming W is width and L is length.

W = 3L-14

WL = 24

We can substitute W into the equation.

(3L-14)L = 24

3L²-14L = 24

3L² - 14L - 24 = 0

(3L+4)(L-6)=0

L = 6

Now we can find W by substituting L into the equation.

[tex]6\cdotw=24\\w = 4[/tex]

Hope this helped!

Answer:

Point : ( -2, 15 )

Step-by-step explanation:

A point that would make this relation not a function would be one that shares a common x - value with the other points. One common domain values for two range values would, when graphed, not follow the vertical test, hence making the relation not a function.

Let's say that the point is ( -2, 15 ). It has a common x - value with respect to the first point, ( -2, 8 ), and therefore would make this set not a function.

Answer:

Point : ( -2, 15 )

Step-by-step explanation:

Answer:

Vertex (3,1) minimum

Step-by-step explanation:

Hello, I attached a graph with two examples where you can see the Vertex and when this is a minimum vs maximum.

You can see in your graph that the vertex is the point (3,1) and this is a minimum.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

7^8

Step-by-step explanation:

Answer:7^8

Step-by-step explanation:

Answer:

The circle has radius = 9 units, and its equation is:

[tex]x^2+y^2=81[/tex]

The parabola has equation of the form:

[tex]y=a\,x^2+9[/tex]

with [tex]a[/tex]  being a positive number

Step-by-step explanation:

Given the characteristics of the two figures (circle and parabola) as described,

since the parabola intersects the circle at a single point (it vertex) then the radius of the circle centered at the origin must be 9. that makes the equation of the circle to have the following standard form;

[tex]x^2+y^2=9^2\\x^2+y^2=81[/tex]

Since there is no other info regarding the parabola, the most one can say about the equation of the parabola, is that in vertex form, the parabola's equation must be of the form:

[tex]y=a\,(x-x_{vertex})^2+y_{vertex}\\y=a\,(x-0)^2+9\\y=a\,x^2+9[/tex]

with [tex]a[/tex]  being a positive number.

Answer:

No, each ordered pair in this list has the same first element.

Step-by-step explanation:

An input can only have 1 output, but multiple inputs can have the same output. How you can check this if you have a graph is if you can draw a straight line (top to bottom) anywhere on the graph and it intersects with the line once or not at all.

Answer:

No, each ordered pair in this list has the same first element.

Step-by-step explanation:

Given: G = {(1, 1), (1, 2), (1, 3), (1, 4)}

Correct answer choice is:

Answer:

b is the correct answer. p is 10

The value of m∠RLU = 10.

Given: (5p - 8) and (2p + 22)

Simplifying both of the equation, then we get

5p - 8 = 2p + 22

Add 8 to both sides of the equation, then we get

5p - 8 + 8 = 2p + 22 + 8

simplify

5p = 2p + 30

substract 2p from both sides of the equation

5p - 2p = 2p + 30 - 2p

3p = 30

p = 30/3

p = 10.

m∠RLU = 10

Therefore, the correct answer is option D. 10.

To learn more about angles and triangle

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Answer:

My answer is in the attached image.

Answer:

x =11

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

( 15+x-2) * (x-2) = (19+x-3) * (x-3)

Combine like terms

(13+x) *(x-2) = (16+x) *(x-3)

Distribute

11x+x^2-26=13x+x^2-48

Subtract x^2 from each side

11x -26 = 13x -48

Subtract 11x from each side

-26 = 2x-48

Add 48 to each side

22 = 2x

Divide by 2

11 =x

Answer:

The answer is "[tex]x^{\frac{5}{3}}y^{\frac{1}{3}}[/tex]"

Step-by-step explanation:

Given value:

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

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

formula:

[tex]\bold{(a.b)^n=a^nb^n}[/tex]

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

The final value is:  [tex]\boxed{\boxed{ x^{\frac{5}{3}} \cdot y^{\frac{1}{3}}}}[/tex]

Answer:

1,-1,4,-3 so D

Step-by-step explanation:

0 = x^4 - x^3 -13x^2 + x + 12

x = 1,-1,4,-3

The final answer is -3,-1,1 and 4

The biquadratic equation is of the form ax⁴+bx³+cx²+dx+e and hence

The sum of roots is -b/a, the sum of the product of two roots is c/a, the sum of the product of three roots is -d/a, and the product of all four roots is e/a.

There is no specific method of solving a biquadratic equation, hence we use the trial and error method and also some form of the root.

So finding f(1) = 1-1-13+1+12 = 0 hence 1 is a root.

finding f(-1) = 1-(-1)-13-1+12 = 0 hence -1 is also a root.

So let other roots be p,q

Now we can use sum of roots formula which is p+q+1-1= 1, hence p+q=1

product of roots p*q*1*-1=12, pq= -12 substituting p = -12/q

-12/q+q = 1, multiplying q on both sides

q²-12=q, q²-q-12=0, q²-4q+3q-12 = 0, q(q-4q)+3(q-4)=0

(q-4)(q+3) = 0 hence the roots are 4,-3 also

Hence 1,-1,4, and -3 are the roots of the equation.

Learn more about the Biquadratic equation here

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Answer: 80/1000 • 20

Answer:

Screenshots attached! Hope it helps :)

Answer:

t= 0

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log(xy)

[tex]log_{b}[/tex] 1 = 0

Given

[tex]log_{x}[/tex] a + [tex]log_{x}[/tex] [tex]\frac{1}{a}[/tex] = t ,then

[tex]log_{x}[/tex] (a × [tex]\frac{1}{a}[/tex] ) = t

[tex]log_{x}[/tex] 1 = t , thus

t = 0

Answer:

≈ 5.36

Step-by-step explanation:

If we have a triangle in which the angle measure of it being broken down are the same, that means that the legs in which the angle measures are the same will have the same length.

If we already know that DE ≈ 9.28, then we can subtract this from 20 and divide by two to get BD, which is equal to EC.

[tex]20-9.28=10.72\\10.72\div2=5.36[/tex]

However, I'm not 100% sure about this answer.

Hope this helped (and I hope I'm right)

Answer:

5.3589 or 5.36

Step-by-step explanation:

tan (15) = x / 20

x = 40 - 34.64

x = 5.36

Answer:

0

Step-by-step explanation:

Like terms are terms that have the same variable part.

The variable part of all three terms is u, so all terms are like terms.

5u + u - 6u =

= 5u + 1u  6u

= 6u - 6u

= 0