what's the answer to this

Pamela's average annual percentage gain was = 7.7%

The start up capital (P) = $10500

The simple interest (SI) = $3250

Time (T) = 4 years

Rate = ?

But SI = P × T × R /100

Make R the subject of formula,

R = SI × 100/P × T

R = 3250 × 100/ 10500 × 4

R = 325000/ 42000

R = 7.7%

Therefore, Pamela's average annual percentage gain was = 7.7%

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Answer:

Length: 33 ft

Width or side: 7 ft

Step-by-step explanation:

Check the attachment.

Answer:

The dimensions of the rooms in the blueprint will be Living room (), Kitchen (), Office (), Bedroom (), Bedroom (), Bathroom ().

Given information:

A house blueprint has a scale of 1 in : 4 ft.

The length and width of each room in the actual house are shown in the table below:

 Living room  Kitchen  Office  Bedroom  Bedroom     Bathroom

Length  20             16    8              8                      20                6

width 8             16    16              16              20                8

The scale factor is of 1 in: 4 ft. So, 4 ft of actual length is equivalent to 1 inch in the blueprint.

So, the length and width of the different rooms in te house in the blueprint will be,

 Living room  Kitchen  Office  Bedroom  Bedroom       Bathroom

Length(in) 5             4            2              2                      5                        1.5

width(in)   2             4            4              4                      5                          2

Therefore, the dimensions of the rooms in the blueprint will be Living room (), Kitchen (), Office (), Bedroom (), Bedroom (), Bathroom ().

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Step-by-step explanation:

hope this helps

Answer: 150 kilometers

Step-by-step explanation:

if it's 30 units of 5 kilometers then you multiply it

5x30=150

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &20000\\ r=rate\to 30\%\to \frac{30}{100}\dotfill &0.3\\ t=\textit{elapsed time}\dotfill &5\\ \end{cases} \\\\\\ A=20000(1 - 0.3)^{5}\implies A=20000(0.7)^5\implies A=3361.4[/tex]

Answer:

0.7495 or 0.75 sales tax

Step-by-step explanation:

5% of 14.99 is 0.7495. rounded to the nearest tenth it is 0.75

Answer:

A have no right angles and B had all right angles.

Answer:

D. Subtract 4 from both sides

Step-by-step explanation:

When you're solving a quadratic equation you want to use the quadratic formula [tex]\frac{-b+ \sqrt[]{b^{2} -4ac } }{2a}[/tex].
To get the quadratic equation into this form, you first need to convert it into [tex]ax^{2} +bx+c=0[/tex] which means the first step would be to subtract 4 on both sides.

The coordinates of the point equidistant from their position is C(x,y) = (2, 3) and the equation of the locus is (x - 2)² + (y - 3)² = 2.

The center is the point that is equidistant to every point on the circumference. First, we need to determine the coefficients of the general equation of the circle, whose form is described below:

x² + y² + D · x + E · y + F = 0   (1)

We need three distinct points of the circumference to determine one solution.

If we know that (x₁, y₁) = (1, 2), (x₂, y₂) = (3, 4) and (x₃, y₃) = (3, 2), then the system of linear equations is:

D + 2 · E + F = -5   (2)

3 · D + 4 · E + F = - 25   (3)

3 · D + 2 · E + F =  - 13   (4)

The solution of the linear system is D = - 4, E = - 6 and F = 11.

Now we proceed to transform the expression into its standard form by completing the squares:

x² + y² - 4 · x - 6 · y + 11 = 0

(x² - 4 · x + 4) + (y² - 6 · y + 9) - 2 = 0

(x - 2)² + (y - 3)² = 2

The coordinates of the point equidistant from their position is C(x,y) = (2, 3) and the equation of the locus is (x - 2)² + (y - 3)² = 2.

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y=4x²-1

#1

#2

Zeros are 1/2,-1/2

#3

Convert to vertex form y=a(x-h)²+k

Vertex(h,k)=(0,-1)

#4

Graph attached

Answer:

i)  [tex]y=(2x+1)(2x-1)[/tex]

ii)  [tex]x=-\dfrac12, x=\dfrac12[/tex]

iii)   (0, -1)

iv)  see attached

Step-by-step explanation:

Given quadratic:  [tex]y=4x^2-1[/tex]

Factored form

We can use the Difference of Two Squares to factor the given quadratic.

[tex]a^2-b^2=(a+b)(a-b)[/tex]

Therefore,

[tex]a^2=4x^2=(2x)^2\implies a=2x[/tex]

[tex]b^2=1=1^2 \implies b=1[/tex]

So the relation in factored form is:

[tex]y=(2x+1)(2x-1)[/tex]

Zeros

The zeros of the quadratic polynomial are the x-coordinates of the points where the graph intersects the x-axis, i.e. when y = 0

[tex]\implies y=0[/tex]

[tex]\implies (2x+1)(2x-1)=0[/tex]

[tex]\implies (2x+1)=0\implies x=-\dfrac12[/tex]

[tex]\implies (2x-1)=0\implies x=\dfrac12[/tex]

Therefore, the zeros are -1/2 and 1/2

Vertex

The x-coordinate of the vertex is the midpoint of the zeros.

[tex]\textsf{midpoint}=\dfrac{-\frac12+\frac12}{2}=0[/tex]

To find the y-coordinate of the vertex, substitute the found value of x into the given equation:

[tex]\implies y=4(0)^2-1=-1[/tex]

Therefore, the vertex is (0, -1)

Answer:

5 3/4 cups.

Step-by-step explanation:

Subtract the two amounts.

6 5/8 - 7/8

Make 6 5/8 an improper fraction by multiplying the 8 and 6 then adding 5.

8 x 6 = 48

48 + 5 = 53

53/8

53/8 - 7/8 = 46/8

Convert back into a mixed number by dividing.

46/8 = 5 6/8

reduce the fraction

5 3/4

Answer:

A.) 21.95

B.)22.47

Step-by-step explanation:

A.) An easy way to solve this is to use the Pythagorean theorem. Since the only person between Cyrus and Jane is Adriana, we will use her as a measuring point. Adriana's distance to Jane is 19, we will set a = 19, Adriana also is 11 miles away from Cyrus, and we will set b = 11. Now we plug it into the Pythagorean theorem.

[tex]a^2+b^2=c^2\\19^2+11^2=c^2\\\sqrt{482} =\sqrt{c^2}\\ 21.95=c[/tex]

B.) Using the same principle but for Adriana and Madisyn, we will use Jane as she is between them. Adriana is 19 miles from Jane, so we will set a=19, Madisyn is also 12 miles from Jane, so we will set b=12. Plug it for the Pythagorean theorem.

[tex]a^2+b^2=c^2\\19^2+12^2=c^2\\505=c^2\\\sqrt{505}=\sqrt{c^2}\\ 22.47 = c[/tex]

Answer:

254,000

Step-by-step explanation:

What is 25.4 x 10 to the 4th power?

Translate:

25.4 * 10⁴

25.4 * 10,000

Here, we will be moving the decimal four times to the right:

25.4 * 10,000

254,000

Note: if you're not sure, you can always use a calculator to double check :)

Hope this helps!

Answer:

each apple would cost $4,28

The cost of each bag of apples is 4.28 dollars.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that Meena buys cookies and apples at the store.

Meena pays a total amount of $24.02.

She pays a total amount of $6.90 for the cookies.

She buys 4 bags of apples which each cost the same amount.

The total cost of apples = 24.02 - 6.90

= 17.12

Therefore, each bag of apples cost = 17.12/ 4 = 4.28

Hence, the cost of each bag of apples is 4.28 dollars.

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To find the shaded area in an image first calculate the total area of the figure and then subtract the white area from this total.

Note: This question is incomplete because the image of the shaded regions is not provided; due to this, the answer is based on general knowledge.

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Answer:

300

Step-by-step explanation:

32 rounds to 30.

12 rounds to 10.

30 × 10 = 300

Answer: 300

Answer:

[tex]beinggreat78~here~to~help.[/tex]

So the method is clearly stating that we need to round to the nearest ten, so let's round using the rule set.

This array should help you vision the sequence better.

⇒  [tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

Now, using the rounding ruleset, we have to find what to round to. Since 32 and 12 both have a ones digit below 5, we round down, meaning we now have 30 and 10. The last step is to multiply 30 by 10 to get your estimate.

  [tex]30[/tex]

[tex]*~10[/tex]

▬▬

[tex]300[/tex]

With this information, your answer is 300(rounded to nearest ten)!

Answer:

2w-12

Step-by-step explanation:

Jose = 2x(Maria's weight) -12

j = 2w -12

Answer:

54

Step-by-step explanation:

We know that a circle is 360 degrees. Therefore, ↓

360° -----------> 100%

x°-----------> 15%

[tex]x = \frac{15}{100} \times 360 \\ = 54[/tex]

Hope this helps =)

Answer:Angle W and Angle C

Step-by-step explanation:

The angles whose cosine equals 3/5 are <A and <W.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

ΔACB and ΔWZY are similar to each other.

Now, Using trigonometry

cosine = Adjacent leg/ Hypotenuse

We have cosine = 3/5

where Adjacent side =3 and Hypotenuse = 5

So, the angle which have Adjacent side 3 in both triangles are

<A and <W.

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Answer:

1.) 400, all you have to do is subtract the two populations and it gives you the amount that it grew by.

2.) it took 2 years, because that is the difference between 2005 and 2007.

3.)if you could tell me the option then that might help? but it grew on an average of 200 students per year.

4.)1002 would be the answer because if it goes down by 200 a year, then you have to subtract 2002-1000 giving you the answer

Step-by-step explanation:

hope this helps.

Answer:

12 of 40=30 so if you do 4 percent of 40 its 1.4

Step-by-step explanation:

Answer:

1 day = 24 hours

Divide each of the "number of hours spent sleeping" by the total number of hours in a day (24).  Then divide the numerator and denominator by the highes common factor to reduce the fraction to its simplest equivalent.

[tex]\sf Cat=\dfrac{12}{24}=\dfrac{12 \div 12}{24 \div 12}=\dfrac{1}{2}[/tex]

[tex]\sf Cow=\dfrac{4}{24}=\dfrac{4 \div 4}{24 \div 4}=\dfrac{1}{6}[/tex]

[tex]\sf Squirrel=\dfrac{15}{24}=\dfrac{15 \div 3}{24 \div 3}=\dfrac{5}{8}[/tex]

[tex]\sf Tiger=\dfrac{16}{24}=\dfrac{16 \div 8}{24 \div 8}=\dfrac{2}{3}[/tex]

Answer:

The answer is B

Step-by-step explanation:

Because the exponent shows how many times you multiply that number

Example: 8^2 would be 8x8 because it is to the second power

Hopefully this helps

Answer:

Step-by-step explanation:

8•8•8•8•8 is the correct answer

Answer:

85 tickets for 20 dollars and 60 for 30

Step-by-step explanation:

my smart friend in AP calc said so

Answer:

given below

Step-by-step explanation:

1 a. Sample space : 2 green, 1 red, 10 blue

b. Sample space : top surface, bottom surface, curved surface ( side)

c. shooting a free throw in a basketball game ( sorry I dont know this one )

Answer:

Given : line y=mx+4 intersects the curve y=3x2 −4x+7at two distinct points.

To find :   set of values of m

Step-by-step explanation:

y = mx  + 4

y = 3x² − 4x + 7

Substitute y = mx + 4  to find intersection point

mx + 4  = 3x² − 4x + 7

=>  3x² - x(m + 4) + 3 = 0

(m + 4)² > 4(3)(3)  

=> m² + 8m + 16 >  36

=> m² + 8m - 20 >  0

=> (m + 10)(m - 2) >  0

m <  - 10  & m > 2

m  = (-∞ , - 10) ∪ ( 2 , ∞ )

Answer:

so the lol is the very nice in the lol morning in the 1098 in 1233 because is use the lol in morning.

Answer:

-8.5

Step-by-step explanation:

this is because the more negative a number is, the less value it is, hence -8.5 is greater than -15.