Find the compound interest and the total amount after 1 year and 1 month if the interest is compounded
quarterly.
Principal = £768
Rate of interest - 100% per annum
Total amount = £
Compound interest = £

Answer:

(1 , -2) and r = 4

Step-by-step explanation:

x² + y² - 2x + 4y - 11 = 0

x² - 2x + 1 - 1 + y² + 4y + 4 - 4 - 11 = 0

(x - 1)² - 1 + (y + 2)² - 4 - 11 = 0

(x - 1)² + (y + 2)² = 16

We know equation of circle is of the form

(x - h)² + (y - k)² = r²

So, center is (1 , -2) and radius is 4

Answer:

58

Step-by-step explanation:

(360 - 122 -122)/2= 58

please brainliest

Answer:

58°

Step-by-step explanation:

well first we know that the total degrees all the way around are 360° so the total number must add up to 360°.

vertical angles are the angles across from each other when two lines intersect and we know that vertical angles are congruent (the same) so 122° equals d. Next we look at the angles e and c. It might seem difficult but we remember that vertical angles are congruent so e and c are equal. the sum the first angle(122°) and d(which we already found equals 122°) equals 122+122=244. we learned at the beginning that all the angles must be 360 so 360-244=116. 116 is the sum of e and c but we know e and c are equal so 116/2=58. e=58 and c=58 so there is our answer

d=122°

e=58°

c=58°

I hope this helps!

Let ∠1 be x

Let ∠2 be x+84

[tex]\rm\:x+x+84= 180 \degree[/tex]

[tex] \rm \: 2x + 84 = 180[/tex]

[tex] \rm \: 2x = 180 - 84[/tex]

[tex] \rm \: 2x = 96[/tex]

[tex]\boxed{ \bf \: x=48 \degree}[/tex]

[tex]\begin{gathered} \sf \: ∠1 = x \\ \sf \: = 48 \degree\end{gathered}[/tex]

[tex]\begin{gathered} \sf \: ∠2 = x+84 \\ \sf = \: 48+84 \\ \sf∠2 = 132 \degree\end{gathered}[/tex]

Answer:

48°

132°

Step-by-step explanation:

Let the measure of one angle be x°

So, Measure of supplementary angle = (x + 84)°

x° +(x +84)° = 180°

(2x + 84)° = 180°

2x + 84 = 180

2x = 96

x = 96/2

x = 48°

(x + 84)° = 48 + 84 = 132°

Answer:

y = -2

Step-by-step explanation:

The midline is the horizontal line that passes exactly in the middle between the graph's maximum and minimum points.

From inspection, curve has a maximum at y = 1 and a minimum at y = -5

The midline between these is [tex]y=\frac{1-5}{2}=-2[/tex]

So the equation for the midline of this graph is y = -2  (shown in red on the attached graph)

Answer:

1. Correct

2. Correct

3. Correct

4. Correct

5. Incorrect

6. Correct

7. Incorrect

8. Incorrect

9. Correct

10. Correct

11. Incorrect

Step-by-step explanation:

1) 4x + 5y

→ 4*6 + 5*1

→ 24 +5 = 29

2) 2x (20-y)

→ 2*6 (20-1)

→ 12 *19 = 228

3) x ÷ 3 + y

→ 6 ÷ 3 + 1

→ 2 +1 = 3

4) 4y ÷ 2 + (8x + 10)

→ 4*1 ÷ 2 +(8*6+10)

→ 2 + (48+10)

→ 2 + 58

→ 60

5 ) 5. Patty made $34 baby sitting on each of 3 weekends. If she spent $50 on gifts for her family, how much money does she have left?

Money made each weekend = $34

Money made in 3 weekend = $34*3 =$102

Money spent = $50

Therefore ,

→Money left = Money made in 3 weekends - Money spent

→ Money left = $102 - $50 = $52

6.Carlos solved 20-(2x6) + 8 divide 4 = 29. Is this the correct answer? ( In attachment it's written 29 and not 28 .)

Given equation is ,

→ 20 - (2 × 6) + 8 ÷ 4 = 29

Solve inside the brackets ,

→ 20 - 12 + 8 ÷ 4

Perform division ,

→ 20 -12 + 2

Perform addition ,

→ 22 - 12

Perform subtraction,

→ 10

No , he is wrong the answer should have been 10 but he got 29 .

I hope this helps .

Answer:

6288 2301 202 -8 -282

im genius

Answer:

e=26

Step-by-step explanation:

e= 8 + 18 = 26

Answer:

see explanation

Step-by-step explanation:

both linear equations will have the form

y = mx + c ( m is the slope and c the y- intercept )

Chef Mate

c(n) = mn + c

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 14) and (x₂, y₂ ) = (3, 18.5) ← 2 ordered pairs from the table

m = [tex]\frac{18.5-14}{3-2}[/tex] = [tex]\frac{4.5}{1}[/tex] = 4.5 , then

c(n) = 4.5n + c ( n represents ounces )

To find c substitute any ordered pair from the table into c(n)

using (4, 23 )

23 = 18 + c ⇒ c = 23 - 18 = 5

c(n) = 4.5n + 5 ← equation for Chef Mate

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

Similarly for Grocery Gourmet

g(n) = mn + c

using (2, 23 ) and (3, 27 ) to find m

m = [tex]\frac{27-23}{3-2}[/tex] = [tex]\frac{4}{1}[/tex] = 4 , then

g(n) = 4n + c

using (4, 31 ) to find c

31 = 16 + c ⇒ c = 31 - 16 = 15

g(n) = 4n + 15 ← equation for Grocery Gourmet

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

Equate the 2 equations to find when cost is the same

4.5n + 5 = 4n + 15 ( subtract 4n from both sides )

0.5n + 5 = 15 ( subtract 5 from both sides )

0.5n = 10 ( divide both sides by 0.5 )

n = 20

Then when n = 20

c(n) = 4.5(20) + 5 = 90 + 5 = 95

g(n) = 4(20) + 15 = 80 + 15 = 95

Both Chef Mate and Grocery Gourmet charge $95 for 20 ounces of extract

Answer:

40

Step-by-step explanation:

[tex]15 \times 2 \frac { 2 } { 3 }\\= 15\times \left(\frac{6+2}{3}\right) \\= 15\times \left(\frac{8}{3}\right) \\= \frac{15\times 8}{3} \\= \frac{120}{3} \\\Longrightarrow \boxed{40}[/tex]

Hope it helps ⚜

Answer:

3.33lbs. repeating?

Step-by-step explanation:

I think it would just be 10/3 and be 3.33333333 and so on. (im just taking a guess)

Answer:

D) 3 1/3 hours

Step-by-step explanation:

10÷3=3.3=3 1/3

Answer:

33.9219 (Rounded: 33.9)

Step-by-step explanation:

To find Leg  B or x we will use cos(a) = b/c

Therefore we have a = 32degrees and c = 40

So

Cos(32) = b/40

0.848 = b/40

b = 0.848 * 40

b = 33.9219

Perpendicular lines have slope negative reciprocal to each other .

Equation of line in point slope form

[tex]\\ \rm\Rrightarrow y-y_1=m(x-x_1)[/tex]

[tex]\\ \rm\Rrightarrow y-11=\infty(x+8)[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{y-11}{\infty}=x+8[/tex]

[tex]\\ \rm\Rrightarrow x+8=0[/tex]

[tex]\\ \rm\Rrightarrow x=-8[/tex]

Some formats of line

[tex]\boxed{\begin{array}{c|c}\boxed{\bf Form} &\boxed{\bf Equation} \\ \sf Slope\: intercept\:form &\sf y=mx+b \\ \sf Intercept\:form &\sf \dfrac{x}{a}+\dfrac{y}{b}=1\\ \sf Normal\:form &\sf xcos\omega+ysin\omega=p \\ \sf Two\: point\:form &\sf y-y_1=\left(\dfrac{y_2-y_1}{x_2-x_1}\right)(x-x_1)\\ \sf Point\:slope\:form &\sf y-y_1=m(x-x_1) \\ \sf Standard\:form &\sf Ax+By+C=0 \end{array}}[/tex]

Answer:

12.60 x 0.075 = $0.945

Total cost:- 12.60 plus 0.945 = $13.55

Step-by-step explanation:

Answer:

25.6

Step-by-step explanation:

Add 6.4 to all the sides and add them all together-

6.4+6.4+6.4+6.4 = 25.6

Answer:

b) 100 square units as 36 add 64 is 100

Step-by-step explanation:

area of ∆ = .5*b*h

b= x+5

h= x-5/2

let's do (x+5) * (x-5/2)

x^2+5x-5/2x-25/2

x^2+5/2x-25/2

area = .5x^2+5/4x-25/4

The polynomial expression that represents the area of wall space covered by the display case is (1/2)x² + (5/4)x - 25/4.

A polynomial is a mathematical expression made up of two or more algebraic terms that have been added, subtracted, or multiplied (no division). Polynomial expressions generally comprise at least one variable, as well as constants and non-negative exponents.

The area of a triangle is calculated using the formula: (1/2)*base*height.

We find the area of the triangle-shaped display case. We can see the base of this triangle is x+5 and its height is x - 5/2.

∴ Area of the display case = (1/2)*(x+5)*(x-5/2)

or, area = (1/2)*(x+5)*(2x-5)/2

or, area = (1/4)(2x² + 5x - 25)

or, area = (1/2)x² + (5/4)x - 25/4.

∴ The polynomial expression that represents the area of wall space covered by the display case is (1/2)x² + (5/4)x - 25/4.

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Answer:

1) Axis of symmetry = [tex]\frac{3}{2}[/tex]

2) Vertex form = [tex]y=3(x-\frac{3}{2} )^{2} -\frac{19}{4}[/tex]

Rewrite in vertex form and use this form to find the vertex (h,k).

[tex](\frac{3}{2} ,-\frac{19}{4} )[/tex] (coordinates of the vertex)

Step-by-step explanation:

Vocabulary:

- A line that passes through a figure in such a way that the part of the figure on one side of the line is a mirror reflection of the part on the other side of the line.

- The point on an angle where the two sides intersect.

Answer  

Thats the answer below!

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Given the following question:

ABC = 2, 4, and 5
DEF = 6, and 12

We know the two triangles are similar, so we can use the given information to find the hypotenuse for the second triangle.

[tex]2\times3=6[/tex]
[tex]4\times3=12[/tex]
[tex]5\times3=15[/tex]

DEF is three times larger than ABC

? = 15

Hope this helps.

Answer:

$321.6915

Step-by-step explanation:

original price= $399.00

20% off $399 is $319.2

$319.2-$15.00=$304.2

0.75% of 304.2 is 2.2815

5% of 304.2 is 15.21+2.2815=17.4915+304.2=321.6915

hope this helps

A percentage is a way to describe a part of a whole. The final cost of the television is $321.69.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that a 55" flat screen television is regularly priced at $399.00. Now, It is on sale for 20% off. Therefore, the cost of the flat screen is,

Cost after discount = $399 - 20% of $399

= $399 - 0.20($399)

= $319.2

The cost after the application of the coupon of $15.00 off on any purchase over $100.00. Therefore, the new cost will be,

New Cost = $319.20 - $15.00

                 = $304.2

Since the tax on the cost is 5.75%, therefore, the cost after the application of the tax is,

Cost after the tax = $304.2 + 5.75% of $304.2

                             = $304.2 + 0.00575($304.2)

                             = $321.69

Hence, the final cost of the television is $321.69.

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Answer: 5

Step-by-step explanation:

V = lwh = 20 * 12 * ? = 1200

240 * ? = 1200

? = 5

Here is your answer

I hope this answer is ok

Answer:

Carlo is 12 and Daniel is 16.

Step-by-step explanation:

There is probably a formula for this but I just used guess and check. Im assuming that carlo is the 3 and daniel is the 5.

Answer:

6/16 and if you want the fraction simplified it would be 3/8. As a percentage 37.5%.

Step-by-step explanation:

Answer:16feet

Step-by-step explanation:

The explanation is in the attached file

Answer:

0.2379

lmk if im wrong :)

Approximately 0.2200 or 22.00% of the exam scores are between 82.2 and 85.6.

To find the proportion of exam scores between 82.2 and 85.6, we need to calculate the z-scores for both values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score for a value x in a normal distribution with mean μ and standard deviation σ is given by the formula:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

Let's calculate the z-scores:

For x = 82.2:

z₁ = (82.2 - 80.2) / 4 = 2 / 4 = 0.5

For x = 85.6:

z₂ = (85.6 - 80.2) / 4 = 5.4 / 4 = 1.35

Now, we can find the proportion of scores between these z-scores using the z-table. The table gives us the cumulative probability up to a certain z-score.

From the z-table, the cumulative probability for z₁ = 0.5 is approximately 0.6915, and the cumulative probability for z₂ = 1.35 is approximately 0.9115.

Now, we can find the proportion of scores between these two z-scores:

Proportion = P(0.5 ≤ z ≤ 1.35)

= P(z ≤ 1.35) - P(z ≤ 0.5)

= 0.9115 - 0.6915

≈ 0.2200

So, approximately 0.2200 or 22.00% of the exam scores are between 82.2 and 85.6.

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Answer:

2000 - 150 + 20=

1,870