Stevens bank account balance was $212 at the beginning of the month he withdrew $63,$74 and $39 he also deposited $105 and $86 what was his balance after these transactions

Answer:

d(x)  =  - 2666.67*a  +  42000

Step-by-step explanation:

Vamos a llamar a d(x) la ecuación de la demanda de CD, entonces como la relación entre las dos variables es lineal la ecuación de la demanda es del tipo:

d(x) = a*x  + b        (1)

en esa relación a es la pendiente de la recta y b es el intercepto con el eje y que en este cas es el eje de valores de d(x).

Tenemos dos condiciones que cumplir y dos incógnitas que determinar ( a y b).

Cuando el precio ( x = 18 $ ) el monto de d(x)  es de 10000 entonces por sustitución en la ecuación general (1)

10000 = 18*a  +  b   (2)

Y cuando   (  x  =  12  $) d(x) =  26000

26000 = 12*a  +b    (3)

Resolviendo para a y b el sistema de dos ecuacions con dos incógnitas tenemos:

restando  ec 3  -  ec 2

16000 =  - 6*a

de donde   a = - 16000/6

a =  - 2666.67

Llevando ese valor a ec 2

10000  =  12 *(- 2666.67) + b

10000 + 32000 = b

b  = 42000

Finalmente la ecuación buscada es:

d(x)  =  - 2666.67*a  +  42000

Como la pendiente es negativa significa que d(x) va decreciendo cuando x va en aumento

3.10

Step-by-step explanation:

If you round 3.14 to the nearest tenth 4 is nearer to 10 than 20. Therefore, the answer is 3.10

Answer:

52b

Step-by-step explanation:

She has 52 cards per deck, and b decks.

This means she has 52b cards.

How this works:

For 1 deck, she has 52 cards, or 52×1 cards.

For 2 decks, she has 104 cards, or 52×1 cards.

For 5 decks, she has 260 cards, or 52×5 cards.

For 10 decks, she has 520 cards, or 52×10 cards.

Therefore, for b decks, she has 52×b, or 52b cards.

**This content involves writing algebraic expressions, which you may wish to revise. I'm always happy to help!

Answer:

the answer to the question is 10

Answer:

Step-by-step explanation:

b x .15 = 5.10

b=5.10/.15

b=34

Answer:

the center of dilation would be (-2,2), so x= -2

Step-by-step explanation:

the center of dilation would be were the three lines meet

Answer:

1695.6 cubic feet

Step-by-step explanation:

Given that,

The corn fills 25% of the height of the silo.

The diameter of silo, d = 12 feet

Radius, r = 6 feet

Height, h = 60 feet

The volume of the part of the silo that is filled with corn is given by :

[tex]V=25\%\ of\ \pi r^2 h\\\\=\dfrac{25}{100}\times 3.14\times 6^2\times 60\\\\V= $$1695.6\ feet^3[/tex]

So, the required volume is equal to 1695.6 cubic feet.

Answer:

D.3.5

Step-by-step explanation:

4x+2y=10(given)

2x+y=5

y=5-2x-----(1)

y=2x-1------(2)(given)

Since the left side of the equations are the the same,

5-2x=2x-1

4x=6

x=1.5

Sub x=1.5 into eq(1),

y = 5-2(1.5) = 5-3 = 2

so, x+y = 1.5+2 = 3.5

Answer:

4x+2y=10

y=2x-1

4x+2(2x-1)=10

4x+4x-2=10

8x=10+2

8x=12

8x÷8=10÷8

x=1,25

&

y=2x-1

=2(1.25)-1

=1.5

x+y=1.25+1.5

=2,75

Answer:

the circumference is C = 34π units.

Step-by-step explanation:

The circumference of a circle of diameter d is C = πd.

Here the diameter is 34 units.  Thus, the circumference is C = 34π units.

Answer:4

Step-by-step explanation:

The Mean Absolute Deviation is 4 from the data given

Answer:

<1 = <3 = 67

<2 = <4 = 113

Step-by-step explanation:

<1 and <3 are equal because they are vertical angles

<1 = <3 = 67

<2 and <3 form a straight line so they add to 180

<2+ 67 = 180

<2 = 180-67

<2 = 113

<2 and <4 are equal since they are vertical angles

<2 = <4 = 113

Answer:

Step-by-step explanation:

5 [4 (22-18) +4]  = 5 [4 (4) +4]                      [start from the inner most bracket.]

                       = 5 [ 16 + 4]                       [more priority for parenthesis than + ]  

                       = 5 [ 20 ]                           [again solve inside the bracket]

                       = 100

Answer:

100

Step-by-step explanation:

➛ 5 [ 4 ( 22 - 18 ) + 4 ]

➛ 5 [ 4 ( 4 ) + 4 ]

➛ 5 [ 16 + 4 ]

➛ 5 [ 20 ]

➛ 100

9514 1404 393

Answer:

  a.  f(x) = (4x +5)(x -3)

  b.  x-intercepts: {-1.25, +3}

  c.  f(x) goes to +infinity as x goes to ±infinity

  d. plot the x-intercepts, the vertex, and a few other points; draw a smooth curve through them

Step-by-step explanation:

a. Here, you're looking for factors of (4)(-15) = -60 that have a sum of -7. Those factors will be -12 and +5, so we can factor the function as ...

  f(x) = (4x -12)(4x +5)/4

  f(x) = (x -3)(4x +5)

__

b. The x-intercepts are the values of x that make the factors zero:

  x -3 = 0   ⇒   x = 3 . . . . (add 3)

  4x +5 = 0   ⇒   x = -5/4 . . . . (add -5, divide by 4)

__

c. As with all even-degree polynomials with positive leading coefficients, the end behavior of f(x) matches that of |x|:

  as x → ∞, f(x) → ∞

  as x → -∞, f(x) → ∞

__

d. The vertex of the function will be located halfway between the x-intercepts, at x = (3-5/4)/2 = (7/4)/2 = 7/8. The value of f(x) there is ...

  f(7/8) = (4(7/8) +5)(7/8 -3) = -289/16 = -18.0625

Since the leading coefficient is 4, the normal x^2 function behavior is stretched vertically by a factor of 4. So, additional points would be

  x = 7/8 ±1, f(x) = -18.0625 +4·1 = -14.0625

  x = 7/8 ±2, f(x) = -18.0625 +4·2^2 = -2.0625

The answers of part B locate two points on the graph, and help find the vertex. The answer of part C confirms the graph as opening upward.

__

Additional comment

I find a graphing calculator to be very helpful finding the roots and making the graph.

The phrases best describes the line that passes through the points (5, -7) and (a, -4) is rise from left to right.

Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis

As, we locate this coordinate in graph we can see the line will either rise from left to right or falls from right to left.

Hence, line that passes through the points (5, -7) and (a, -4) will rise from left to right.

Learn more about coordinates here:

https://brainly.com/question/12149933

#SPJ2

Answer:

4b+8 is 12b I'm pre sure

dont know about the rest sorry

Answer:

x = 5.1

Step-by-step explanation.

Our first step is to find all the angles. If b = 91 degree and c is 38, a. has to be 51 because all triangles add up to 180 degree. Because we have both B and b, we can use sine law.

a/A     13/sin91      c/38

we can use b in this situation.

The legnth  of a is 10.1.

So,  x-5 would be 5.1

Answer:

The solution to the inequality would be n < -3 or n > -2 . Isolate the variable be diving each side by the factors that don’t contain the variable.

Step-by-step explanation:

Answer:

i didnt get it

Step-by-step explanation:

can you explain

Answer:

300 square inches

Step-by-step explanation:

Area of a Trapezoid = 1/2 (b1 + b2 ) × h

h = height 20 inches

b1 = First base = ?

b2 = Second base = ?

From the Question

b1 + b2 = 30 Inches

Hence,

Area of the Trapezoid = 1/2 (30) × 20

= 1/2 × 30 inches × 20 inches

= 300 square inches

The Area of the Trapezoid = 300 Square inches

Answer:

41km²

Step-by-step explanation:

sum up two sections

4*(7+1) + 9*1

Answer:

Option C, -6

Hope this helps!

Answer:

56.25°

Step-by-step explanation:

cos x° = b/h = 15/27 = 5/9

x° = cos^(-1) (5/9) = 56.25°

Answer:

3/10

Step-by-step explanation:

According to the Question,

Now, First We have to make the Fraction even so their denominators must have to be equal.

So. 15×2 = 30(denominator), Multiply with numerator too 8×2=16.

And, 6× 5 = 30(denominator), Multiply with numerator too 5×5=25.

Now. We get New Ratio's now with equal denominator, We can say that

⇒Armand had 25/30 of a row of stacked logs & At the end of the winter he had 16/30 of the same row left.

So, on Simply we get (25-16)/30 ⇒ 9/30 ⇒ 3/10 Wood he burns Over the winter.

Answer:

The answer is 3/10

Step-by-step explanation:

took the quiz recently and aced it with a 100 .

Answer:

22is the answer cuz it is

Answer:

Step-by-step explanation:

using pythagoras theorem

a^2 + b^2 = c^2

here 4 and 9 are the legs of the right angled triangle so let them be a and b respectively . third side is the hypotenuse because it is opposite to 90 degree so let it be c.

4^2 + 9^2 = c^2

16 + 81 = c^2

97 = c^2

[tex]\sqrt{97} = c[/tex]

Answer:

f(x)= x2 -4

Step-by-step explanation:

it is because it has no complex roots

Answer:

A. The monthly payment is $202.85.

B. The total amount paid over the term of the loan is $36,513.60.

C. The percentage paid toward the principal is 54.77%, while the percentage paid for interest is 45.23%.

Step-by-step explanation:

A. Calculate the monthly payment.

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or principal or student loan = $20,000

P = Monthly payment = ?

r = Monthly rate = APR /12 = 9% / 12 = 0.09 / 12 = 0.0075

n = number of months = 15 * 12 = 180

Substituting the values into equation (1) and solve for P, we have:

$20,000 = P * ((1 - (1 / (1 + 0.0075))^180) / 0.0075)

$20,000 = P * 98.5934088350577

P = $20,000 / 98.5934088350577 = $202.85

Therefore, the monthly payment is $202.85.

B. Determine the total amount paid over the term of the loan.

Total amount paid = Monthly payment * Number of months = $202.85 * 180 = $36,513.60

Therefore, the total amount paid over the term of the loan is $36,513.60.

C. Of the total amount paid what percentage is paid toward the principal and what percentage is paid for interest.

Percentage paid toward the principal = Principal / Total amount paid = $20,000 / $36,513.60 = 0.5477, or 54.77%

Percentage paid for interest = 100% - Percentage paid toward the principal = 100% - 54.77% = 45.23%

Therefore, the percentage paid toward the principal is 54.77%, while the percentage paid for interest is 45.23%.

Answer:

3 ft

Step-by-step explanation:

We can use a ratio to solve

Using x as the length of the model

1           x

----- = -----------------

12            36 ft

Using cross products

1 * 36 = 12x

Divide each side by 12

36/12 = 12x/12

3 =x

Answer:

Step-by-step explanation:

[tex]\frac{1}{x}[/tex] : [tex]\frac{12}{36}[/tex]

12x and 36

divide 36 by 12

36/12 = 3

3in

Answer:just hart me n I will help

Step-by-step explanation:

Answer:

×=50,×+09+673-23

×=(33)+(2×)

Answer:

don't

Step-by-step explanation:

i don't know