If you deposit $16,000 per year for 12 years (each deposit is made at the end of each year) in an account that pays an annual interest rate of 14%, what will your account be worth at the end of 12 years?

Answer:

a) f(0)=3*0+1 =0+1= 1

b)f(2)=3*2+1=6+1=7

c)f(-2)=3*(-2)+1=-6+1=-5

Answer:

Step-by-step explanation:

f(x) = 3x+1

f(0) = 3x + 1

f(0) = 3*0+1

f(0) = 0+1

f(0) = 1

f(2) = 3x+1

f(2) = 3*2+1

f(2) = 6+1

f(2) = 7

f(-2) =3x+1

f(-2) =3*-2+1

f(-2) = -6+1

f(-2) = -5

f(-2) =

Answer:

[tex]\sqrt{3} xy^{3}[/tex]×(4x+5)

Step-by-step explanation:

6[tex]\sqrt{3} x^{2} y^{3} - 2\sqrt{3} x^{2} y^{3} + x \sqrt{75} y^{3}[/tex]        simplify

4[tex]\sqrt{3} x^{2} y^{3} +x\sqrt{75} y^{3}[/tex]          collect like terms

[tex]\sqrt{3} xy^{3}[/tex]×(4x+[tex]\sqrt{25}[/tex])      factored out [tex]\sqrt{3} x y^{3}[/tex]

[tex]\sqrt{3} xy^{3}[/tex]×(4x+5)        simplify

Answer:

point

Step-by-step explanation:

the dot has no connectives or no paths

The best describes the geometric figure is a point. SO option B is correct.

A line segment is a part of a line that connects two points which are considered to be its endpoints.

If points A and B are connected by a series of points that extended infinitely in opposite direction then AB is a line.

Therefore, The best describes the geometric figure is a point. SO option B is correct.

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Answer:

0.72

Step-by-step explanation:

64 hundredths= 0.64

8 hundredths= 0.08

0.64 + 0.08 = 0.72

Answer:

.72

Step-by-step explanation:

You just add 64 and 8 (equal to 72) and make sure it's in the hundredths (.00) Hope this is helpful.

Answer:

parrelel

Step-by-step explanation:

Answer:

24,000

Step-by-step explanation:

615 ≈ 600

38 ≈ 40

600 × 40 = 24,000

Therefore, 615 × 38 ≈ 24,000

The missing factor that makes the equation true is 0.2.

According to the question;

Let the missing factor be represented as x.

In essence; by dividing both sides of the equation by 1.1; we have;

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Answer:

the product of -3 and +50 is -150

(-3)×+(50)=-150

Answer:

Step-by-step explanation:

-3 × 50 =

-150

Answer:

area of the shape below is

53cm^2

.......

The number of groups that can be chosen from the team of 17 depends on

the given conditions of the selection.

The correct responses are;

Reasons:

The combination of n objects taking r at a time is given as follows

[tex]_nC_r = \dbinom{n}{r}[/tex]

(a) The number of ways of choosing groups of 9 from the 17 members is given as follows;

Number of ways of choosing groups of 9 = [tex]\dbinom{17}{9}[/tex] = 24,310 ways.

(b) (i) Number of women = 9

Number of men = 8

Number of groups of 9 containing 5 women and 4 men = [tex]\dbinom{9}{5} \times \dbinom{8}{4}[/tex]

[tex]\dbinom{9}{5} \times \dbinom{8}{4} = 126 \times 70 = 8,820[/tex]

Number of groups of 9 containing 5 women and 4 men = 8,820 groups.

(ii) The number of groups that contain at least one man is [tex]\dbinom{17}{9} - \dbinom{9}{9}[/tex]

[tex]\dbinom{17}{9} - \dbinom{9}{9} = 24,310 - 1 = 24,309[/tex]

The number of groups that contain at least one man are 24,309 groups.

(iii) The number of groups of 9 that contain at most 3 women if given as follows;

[tex]\dbinom{8}{8} \times \dbinom{9}{1} + \dbinom{8}{7} \times \dbinom{9}{2} + \dbinom{8}{6} \times \dbinom{9}{3} = 2,649[/tex]

The number of groups of 9 that contain at most 3 women are 2,649 groups.

(c) Given that two team members refuse to work together on projects, the number of groups of 9 that can be chosen are [tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8}[/tex]

[tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8} = 5,005 + 2 \times 6,435 = 17,875[/tex]

(d) Two team members must work together or not at all is [tex]\dbinom{15}{7} - \dbinom{15}{9}[/tex]

[tex]\dbinom{15}{7} - \dbinom{15}{9} = 6,435 - 5,005 = 1,430[/tex]

The number of groups of 9 that can be chosen two team members must work together or not at all are 1,430 groups.

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Answer:

w= 8/7

Step-by-step explanation:

1. divide the numbers

[tex]12w-1*10=6-2w[/tex]

2. multiply the numbers

[tex]12-10=6-2w[/tex]

3. rearrange terms

[tex]12-10=-2w+6[/tex]

4. add 10 to both sides of the equation

[tex]12w-10+1-=-2w+6+10[/tex]

5. simplify

[tex]12w=-2w+16[/tex]

6. add 2w to both sides of the equation

[tex]12w+2w=-2w+16+2w[/tex]

7. simplify

[tex]14w=16[/tex]

8.divide both sides of the equation by the same term

14w/14 = 16/14

9. simplify

w = 8/7

Answer:

[tex]w = 2[/tex]

Step-by-step explanation:

[tex] \frac{(12w - 20)}{2} = 6 - 2w[/tex]

[tex]6w + \frac{ - 20}{2} = 6 - 2w[/tex]

[tex]6w + \frac{( - 10.2)}{(1.2)} = 6 - 2w[/tex]

[tex]6w + 10 = 6 - 2w[/tex]

[tex]6w - 10 + 2w = 6 - 2w + 2w[/tex]

[tex]6w + 2w - 10 = 6 - 2w + 2w[/tex]

[tex]8w - 10 = 6 - 2w + 2w[/tex]

[tex]8w - 10 = - 2w + 2w + 6[/tex]

[tex]8w - 10 = 6[/tex]

[tex]8w - 10 + 10 = 6 + 10[/tex]

[tex]8w = 6 + 10[/tex]

[tex]8w = 16[/tex]

[tex] \frac{8w}{8} = \frac{16}{8} [/tex]

[tex]w = \frac{16}{8} [/tex]

[tex]w = \frac{2.8}{1.8} [/tex]

[tex]w = 2[/tex]

[tex]Thank \: you!!![/tex]

9514 1404 393

Answer:

  -3 ≤ x ≤ 19/3

Step-by-step explanation:

This inequality can be resolved to a compound inequality:

  -7 ≤ (3x -5)/2 ≤ 7

Multiply all parts by 2.

  -14 ≤ 3x -5 ≤ 14

Add 5 to all parts.

  -9 ≤ 3x ≤ 19

Divide all parts by 3.

  -3 ≤ x ≤ 19/3

_____

Additional comment

If you subtract 7 from both sides of the given inequality, it becomes ...

  |(3x -5)/2| -7 ≤ 0

Then you're looking for the values of x that bound the region where the graph is below the x-axis. Those are shown in the attachment. For graphing purposes, I find this comparison to zero works well.

__

For an algebraic solution, I like the compound inequality method shown above. That only works well when the inequality is of the form ...

  |f(x)| < (some number) . . . . or ≤

If the inequality symbol points away from the absolute value expression, or if the (some number) expression involves the variable, then it is probably better to write the inequality in two parts with appropriate domain specifications:

  |f(x)| > g(x)   ⇒   f(x) > g(x) for f(x) > 0; or -f(x) > g(x) for f(x) < 0

Any solutions to these inequalities must respect their domains.

Answer:

Step-by-step explanation:

You plug in the given values and compute s:

s = ut + 1/2 at^2

s  = 10*1/2 + 1/2*-2*(1/2)^2

= 5 + -1*1/4

= 4 3/4.

Answer

0.128>0.218 ,0.218>0.128, 0.128<0.218, 0.218>0.128

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Given info:

6885 ÷ 46

Here, we have given divisor (43) & dividend (6885). And in problem they asked to find quotient & remainder.

Let's solve!!

[tex] \sf{46 \overline{\bigg)68885 \bigg(}149← \red{Quotient}} \\ \sf \underline{ 46 \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{228 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{ \underline{ - 184 \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \sf0445 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \underline{ \sf - 414 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{031 \red{←Remainder}} \\ [/tex]

[tex] \therefore \: \sf{Quotient = 149 \: and \: Remainder \: = 31} \\ [/tex]

[tex] \sf{Now,} \\ [/tex]

[tex] \sf{Divisor \times Quotient + Remainder } \\ [/tex]

[tex] \sf = 46 \times 149 + 31 \\ [/tex]

[tex] \sf = 6854 + 31 \\ [/tex]

[tex] \sf{ = 6885} \\ [/tex]

[tex] \sf = \red{ Dividend}. \\ [/tex]

Answer

5x

Step-by-step explanation:

Answer:

1. 79,210

2. 6,231

3. 23.4

Step-by-step explanation:

1. 7.921 * 10^4

10 ^ 4 = 10000

move the decimal point four places to the right

= 79,210

2. 6.231 * 10^3

10 ^ 3 is 1000

move the decimal point three places to the right

6,231

3. 0.234 * 10^2

10 ^ 2 is 100

move the decimal two places to the right

23.4

Answer:

(-6, 4.5)

Step-by-step explanation:

Answer:

ki

Step-by-step explanation:

Queremos encontrar y resolver un sistema de ecuaciones para encontrar el número de novillos comprados y el valor de cada uno.

Encontramos que las soluciones son:

La información que tenemos es:

El comerciante compro un dado número de novillos, digamos N.

El precio total fue de 1,440,000 colones.

Entonces si el precio de cada novillo es P, tenemos que:

N*P = 1,440,000

Sabemos que vendio 20 a 22,000 colones cada uno, es decir, obtuvo:

20*22,000 colones = 440,000 colones.

Es decir, de momento se tiene una perdida de:

1,440,000 - 440,000 = 1,000,000 colones.

Sí quiere obtener una ganancia de 200,000 colones, debe vender los (N - 20) novillos restantes a 2,000 colones más que P.

De esto planteamos la ecuación:

(N - 20)*(P + 2,000)= 1,000,000 colones + 200,000 colones = 1,200,000 colones.

Entonces tenemos el sistema de ecuaciones:

N*P = 1,440,000

(N - 20)*(P + 2,000) = 1,200,000

Para resolver esto comenzamos por aislar una de las variables en la primera ecuación, aislaremos N

N = (1,440,000)/P

Ahora reemplazamos esto en la otra ecuación:

(N - 20)*(P + 2,000) = 1,200,000

( (1,440,000)/P - 20)*(P + 2,000) = 1,200,000

Ahora debemos resolver esto para P.

1,440,000 - 20*P - 20*2,000 + 2,000*(1,440,000)/P = 1,200,000

- 20*P + 2,000*(1,440,000)/P = -180,000

Multiplicando ambos lados por P, obtenemos:

-20*P^2 + 2,880,000,000 = -180,000*P

Reescribimos esto como una ecuación cuadratica:

-20*P^2 +   2,880,000,000 + 180,000*P = 0

Y podemos resolver esto usando la formula de Bhaskara.

[tex]P = \frac{-180,000 \pm \sqrt{(180,000)^2 - 4*(-20)*(2,880,000,000)} }{2*-20} \\\\P = \frac{-180,000 \pm 512,640.22471 }{-40}[/tex]

Solo nos interesa la solución positiva, que es:

[tex]P = = \frac{-180,000 - 512,640.22471 }{-40} = 12,820.5[/tex]

Es decir, cada novillo le costó 12,820.5 colones.

y sabemos que:

N = 1,440,000/P = 1,440,000/12,820.5 = 112.3

Redondeamos al proximo numero entero, que es 112, donde ese 0.3 debe venir de algun error de redondeo (o más probablemente a un problema mal planteado).

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Answer:

15:10

Step-by-step explanation:

15:10 can be reduced into 3:2 by dividing with 5

and 9:6 can be reduced to 3:2 by dividing with 3

keep smiling.

Answer:

D

Step-by-step explanation:

just got in edg 2021

Answer:

-4.8

Step-by-step explanation:

so you * Good Times by 5 and each time you do by 12

Answer:

12.4

Step-by-step explanation:

do 9x11 (the cross)

then divide that by 8, so 99/8

that equals 12.375 which rounded to the nearest tenth is 12.4

9514 1404 393

Answer:

  a) see attached for the drawings

  b) p = 8n -4

  c) a(n) = 4n(n -3) +13  for n > 1; a(1) = 1

  d) none

Step-by-step explanation:

a) The overall dimensions of the next two stages of the pattern will be 7×7 and 9×9. Excluding the 4 "ears", the central squares are 5×5 and 7×7. The drawings are shown in the attachment.

__

b) The sequence of perimeter values is ...

  4, 12, 20, 28, 36, ...

This is an arithmetic sequence with a common difference of 8. A suitable formula for the perimeter p of stage n is ...

  p = 8n -4

__

c) The sequence of area values is ...

  1, 5, 13, 29, 53, ...

The first differences are ...

  4, 8, 16, 24, ...

and the second differences are ...

  4, 8, 8, ...

At no level are the differences "common", so this sequence cannot be described by a polynomial function. After the first one, the second differences are common, so the sequence after the first term can be described by a quadratic function.

The function describing the sequence must be defined in two parts:

  [tex]a(n)=\begin{cases}1&\text{ for $n = 1$}\\4n(n-3)+13&\text{ for $n>1$}\end{cases}[/tex]

__

d) Because the function must be piecewise defined, the area sequence is not any of the types of sequences listed. After the first term, it is a quadratic sequence.

_____

Additional comment

The leading coefficient of the quadratic formula for the area sequence is half the second difference. When 4n² is subtracted from the sequence of areas, the remaining arithmetic sequence has a common difference of -12. In order to bring the total of these quadratic and arithmetic sequences up to the correct area value, 13 must be added. This formula would give a(1) = a(2) = 5, which is not the correct value for a(1). Hence, that must be defined separately.

Answer: Yes

Step-by-step explanation: Because a integer is -45.58

The equation that models the situation is f(t) = 10 + 9t.

The carpenter has already shingled 10 garage roofs . The initial amount he has already shingled is like a constant in the equation.

He shingles at a constant rate of 9 per day. This means each day the carpenter shingles 9 roofs.

let

f(t) = number of garage roofs the carpenter shingles

t = time in days.

If the carpenter shingles 9 roofs per day , he will shingle 9 × t roof for t days.

To model the equation where he had already shingled 10 roofs and his shingling rate, can be represented as follows:

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Answer:

1st figure out how many feet in 1 yard

Then you can take that number <x>

X x 5

Step-by-step explanation:

Answer:

1.67 yards or 5/3

Step-by-step explanation:

I just looked it up