The retail price is 81% more than the original price. Hence, retail price = percent of original price

Answer:

Step-by-step explanation:

This is a geometric sequence with  first term a1 = 2 and common ratio r = 0.5.

an = a1 r^^n-1)

an = 2(0.5)^(n-1).

Recursive equation:

an = 0.5a(n-1) where n > 2

Answer:

do yourself a favor and download photomath. It'll save your life

Step-by-step explanation:

The number of weeks after which they both have volunteered the same number of hours is 4 weeks. The amount volunteering time they'd have volunteered till that week is 16 hours.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Given that:

Let the number of weeks after which they both have volunteered the same number of hours be 'w' weeks.

Now, as Adrian volunteer 4 hours per week, then in w weeks, he'd have volunteered [tex]4 \times w[/tex] hours.

Also, as Cyrus already volunteered 8 hours, and then for w weeks, he volunteered 2 hours per week, so the number of hours he volunteered is: [tex]2 \times w + 8[/tex]

We had assumed that after w weeks, their volunteer time is same, so we can equate these amount of volunteering hours, as shown below:

[tex]4\times w= 2\times w + 8\\4w = 2w + 8[/tex]

(sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Subtracting 2w from both the sides, we get:

[tex]4w -2w = 8\\(4-2)w = 8\\2w = 8[/tex]

Dividing both the sides by 2, we get w on one side, rest of the constants on the other side, as:

[tex]\dfrac{2w}{2} = \dfrac{8}{2}\\\\w = 4[/tex]

Thus,  the number of weeks after which they both have volunteered the same number of hours is w = 4 weeks.

Now, evaluating any of those expressions to get the number of hours each of them volunteered till 4th week:

[tex]4w |_{w=4} = 4 \times 4 = 16 \: \rm hours\\2w +8|_{w=4} = 2(4) + 8 = 8+8 = 16 \: \rm hours[/tex]

(see, these are equal amount of time).

Thus, the number of weeks after which they both have volunteered the same number of hours is 4 weeks. The amount volunteering time they'd have volunteered till that week is 16 hours.

Learn more about forming equations here:

https://brainly.com/question/11938672

Answer:

70

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer:

3g

Step-by-step explanation:

We know that

20g = 8g + 4 * r

where r is the weight of a single red circle.

20g = 8g + 4 * r

12g = 4 * r

3g = r

x = 5/2 or x = 1/3

C is the answer.

Answer:

x = 5/2 or x = 1/3

Step-by-step explanation:

Simplify  

( 2 x − 5 )( 3 x − 1 ) .

6 x 2 − 17 x + 5 = 0

Use the quadratic formula to find the solutions.

[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

Substitute the values  a = 6 ,  b = − 17 , and  c = 5  into the quadratic formula and solve for  x .

17 ±sqrt(-17)^2-4*(6*5)

_________________

2*6

Simplify.

x = 17 ± 13 /12

The final answer is the combination of both solutions.

x = 5 /2 ,  1 /3

Answer:

googl it

Step-by-step explanation:

its on googl and it has the anwser

Answer:

37/20y

you find LCM first

Answer:

105

Step-by-step explanation:

To find area, you have to multiple the width by the height.

15*7=105.

Answer:

Area = 2307.9 cu.cm

Step-by-step explanation:

Height of the cylinder (h) = 15cm

radius (r) = 7 cm

we know ,

[tex]area \: of \: cyliner = \pi {r}^{2} \times h \\ \: \: \: \: = 3.14 \times {(7cm)}^{2} \times 15cm \\ \: \: = (3.14 \times 49 \times 15) {cm}^{3} \\ = 2307.9 {cm}^{3} [/tex]

Answer:

$39

Step-by-step explanation:

Answer:

a) 3000(1 + 0.02)^16

Step-by-step explanation:

Answer:

8.6

Step-by-step explanation:

Answer:

D

she would make 6 fewer monthly payments

Step-by-step explanation:

:)

Answer:

x=1/3, x=-2/3

Step-by-step explanation:

9x^2 +6x -3x -2=0

6x and -3x add up to 3x. You need four terms to factor.

Then you factor=

3x(3x+2)-1(3x+2)=0

(3x-1)(3x+2)=0

Then you can make two equations

3x-1=0 and 3x+2=0 because to multiply to get 0, at least one will be 0.

3x-1=0

3x=1

x=1/3

3x+2=0

3x=-2

x=-2/3

So your answers are x=1/3, x=-2/3

hope this helps!

Answer:

I think its like a cartoon or something like that

https://hbomax-images.warnermediacdn.com/images/GXyniGAhmEcJZOgEAAABz/tileburnedin?size=1280x720&format=jpeg&partner=hbomaxcom&productCode=hbomax&host=artist.api.cdn.hbo.com&w=1200

there image I think

q<13

Step-by-step explanation:

2q is less than 26 so 1q has to be less than half of 26 or 13.

q<13

Answer:

142

Step-by-step explanation:

if m angle A = 109, then arc DCB = 2(109)= 218

360 - 218 = 142

Answer:

a(n) = 48*(1/4)^(n - 1)

Step-by-step explanation:

Here the first term, a(1), is 48 and the common ratio is r = 1/4.

Thus, the specific formula for the information given is

a(n) = 48*(1/4)^(n - 1)

Answer:

Step-by-step explanation:the answer will be 100

Answer:

23 + [tex]\sqrt{29}[/tex] + [tex]\sqrt{58}[/tex]

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

2+r=4

4x4=16

16+r=18

18-12=6

Answer:

6

Step-by-step explanation:

r + 4(2 + r) - 12 =

2 + 4(2 + 2) - 12 =

2 + 4(4) - 12 =

2 + 16 - 12 =

18 - 12 =

= 6

Answer:

is 53

heart if it helped brain if im cooll

Answer:

152 pencils remain after 14 days of school.

Step-by-step explanation:

Replace x in this formula with 14 (14 days):

f(14) = 250 - 7(14) = 250 - 98 = 152

152 pencils remain after 14 days of school.

Answer:...

Step-by-step explanation:

Answer:

$969.04

Step-by-step explanation:

now at age of 18 Brad has 1500 * 1,065^18

at age of 21 he will have 1500 * 1,065^21

if he waits the difference will be 1500 * 1,065^21 - 1500 * 1,065^18 = $969.04

An amount of $292.5 will be more if the money is taken after 21st birthday that that in 18th birthday.

Simple interest is defined as the interest obtained over the principal amount on a certain rate.

Given that,

Principal amount, P = $1500

Rate of interest, r = 6.5% = 0.065

The final amount in a simple interest is,

A = P (1 + rt), where t is the number of years.

After 18 years,

Amount = 1500 [1 + (0.065 × 18)]

             = 1500 × 2.17

             = $3255

After 21 years,

Amount = 1500 [1 + (0.065 × 21)]

             = 1500 × 2.365

             = $3547.5

Difference = $3547.5 - $3255 = $292.5

Hence the difference of the amount is $292.5.

Learn more about Simple Interest here :

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#SPJ2

Answer:

The angle is equal to 45°, its complementary is equal to (90-45)°=45°, and its supplementar is equal to (180-45)°=135°

Step-by-step explanation:

Let the angle be equal to x°. We know that

[tex](180 - x) = 3(90- x)[/tex]

Therefore, solving for x, we have

[tex]180 - x = 270 - 3x \\ 2x = 90 \\ x = 45[/tex]

So the angle is equal to 45°, its complementary is equal to (90-45)°=45°, and its supplementar is equal to (180-45)°=135°

Answer:

12) complementary,   x=15

13) complementary, x = 35

x+ (x-20) = 90

x+x+20=90

2x=70

x=35

14) supplementary, x=31

2x+3x+25=180

5x=155

x=31

15) <1 = 130 degrees

 <2 = 50 degrees

<3 = 130 degrees

16) x=53

x+2x+21=180

3x=159

x=53

Answer:

SA = 615.44

Step-by-step explanation:

d = 14

r = d/2

r = 7

SA of a Sphere:

SA = 4πr²

SA = 4(3.14)(7²)

SA = 4(3.14)(49)

SA = 12.56(49)

SA = 615.44

Answer:

172

Step-by-step explanation:

8/20 = x/430

8(430) = 3,440 = 20x/20

3,440/20  = 172

Ik it's complicated but you'll get it & your so very welcome.