a new bank customer with $4500. wants to open a money market account. the bank is offering a simple interest rate 1.5%. how much interest will the customer earn in 20 years? what will the account balance be after 20 years?

slope-intercept form: y = mx + c, where m is the gradient and c is the y-intercept!!!

x - 26y = 52

-26y = -x + 52

y = x/26 - 2

Answer:

x=3 and x=-1

Step-by-step explanation:

Given Descartes' Rule of Signs, there is only one positive root and one negative root.

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient.

So P could be +1, -1, +3, or -3, while Q could be 1 or -1.

Therefore, P/Q could be +1, -1, +3, or -3.

Then we use synthetic division to find the correct factor(s):

1 | 1 -1 -5   -3

___ 1_0_ -5

   1  0 -5 | -8

So (x-1) is not a factor

-1 | 1 -1 -5   -3

___-1_2_  3

    1 -2 -3 |  0

So (x+1) is a factor where the quotient is x^2-2x-3 or (x-3)(x+1)

3 | 1 -1 -5   -3

___ 3_6_ 3

    1  2  1 |  0

So (x-3) is a factor where the quotient is x^2+2x+1 or (x+1)^2

Given (x-3) and (x+1) are factors, we now use the Zero Product Property:

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

x-3=0

x=3

x+1=0

x=-1

So the roots are x=3 and x=-1

Using trigonometric ratios we calculate the value of the variables as approximately x and y are 5.1 units and 3.1 units respectively .

Trigonometry is the branch of mathematics that is used for solving a right angled triangle if only one data is given.

Let us consider a triangle ABC right angled at B. BC is the base of the triangle and AC is the hypotenuse , therefore AB is the perpendicular.

The various trigonometric ratios used for solving a triangle are :

sin C = AB ÷ AC

cos C = BC ÷ AC

tan C = AB ÷ BC

Now in the given figure we can see that :

In ΔABC , using the trigonometric ratio of sin

sin ∠A = BC ÷ AB

or , sin 51° × AB = BC

or, BC = 10.102...

or, BC ≈ 10.1

Again in Δ BCD ,  using the trigonometric ratio of cos

cos ∠D = CD ÷ BD

or, CD ≈ 5.1

In ΔABC , using the trigonometric ratio of tan

tan ∠A = BC ÷ AC

or, tan 51° = 10.1 ÷ AC

or, AC = 8.178...

or, AC ≈ 8.2

Therefore the value of y is AC-DC = 8.2 - 5.1 = 3.1 units

The values of x and y are 5.1 units and 3.1 units respectively .

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Answer:

[tex]\dfrac{dy}{dx}=\dfrac{4y-2xy\ln y}{3y^3+x^2}[/tex]

Step-by-step explanation:

[tex]y^3+x^2\ln y=4x+2[/tex]

Diferenciando con respecto a [tex]x[/tex]

[tex]3y^2\dfrac{dy}{dx}+2x\ln y+\dfrac{x^2}{y}\dfrac{dy}{dx}=4\\\Rightarrow (3y^2+\dfrac{x^2}{y})\dfrac{dy}{dx}=4-2x\ln y\\\Rightarrow (\dfrac{3y^3+x^2}{y})\dfrac{dy}{dx}=4-2x\ln y\\\Rightarrow \dfrac{dy}{dx}=\dfrac{4y-2xy\ln y}{3y^3+x^2}[/tex]

La derivada de la función dada es [tex]\dfrac{4y-2xy\ln y}{3y^3+x^2}[/tex].

Answer:

70 ish

Step-by-step explanation:

Answer:

The non-equivalent ratio is 4:5.

Step-by-step explanation:

2/3 4/6 and 8/12 are equivalent because they are all multiples of each other.

Step-by-step explanation:

the price charged for 100 students reflects the cost per student that applies to the order as a whole.

100 * 6 = $600, so the fixed cost is 750-600 = 150.

...

We can check this by substituting in the other equation.

Does 150*6 + 150 = 1050?

150*6=900

900+150 = 1050.

Yes, it does

...

We can express this relationship by the equation:

y = mx + b

where

y = total cost

m = $6 per student

x = number of students

b = fixed costs = 150

y = 6x + 150

The caterer’s fixed cost and the rate per student served is $6 and $150

This method is actually called method of elimination to solve a system of linear equations.

We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).

If we have equations:

[tex]a_1x + b_1y = c_1\\a_2x + b_2y = c_2[/tex]

then, if we want to eliminate variable x, then we have to multiply equation 1 with

[tex]-\dfrac{a_2}{a_1}[/tex]

which will make coefficient of x in first equation as

[tex]a_1 \times - \dfrac{a_2}{a_1} = -a_1[/tex]

Then adding both equation will eliminate the variable x.

Given;

Cost of 100 students= $750

Cost of 150 students= %1050

Let the fixed cost of caterer be x

and the cost per student be y

x+100y=750...(1)

x+150y=1050...(2)

solving the above equations;

50y=300

y=6

x=750-600=150

The fixed cost is $150, while the per-student cost is $6.

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The distance between the points where the points are given as (2.4, -5.4) and (9.2-5.4) is 6.8 units

The points are given as

(2.4, -5.4) and (9.2, -5.4)

The distance between the points is calculated as

d  = √(x2 - x1)^2 + (y2 - y1)^2

Substitute the known values in the above equation

So, we have

d  = √(9.2 - 2.4)^2 + (-5.4 + 5.4)^2

Evaluate the sum in the above equation

So, we have

d  = √(9.2 - 2.4)^2 + (0)^2

Evaluate the difference  in the above equation

So, we have

d  = √(6.8)^2 + (0)^2

Evaluate the exponents in the above equation

So, we have

d  = √46.24 + 0

Evaluate the sum in the above equation

So, we have

d  = √46.24

Evaluate the exponents in the above equation

So, we have

d  = 6.8

Hence, the distance between the points where the points are given as (2.4, -5.4) and (9.2-5.4) is 6.8 units

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Answer:

Step-by-step explanation:

Options:

A. AC≅AC, Reflexive Property of Congruence

B. ∠ACB≅∠CAD, Alternate Interior Angles Theorem

C. ∠BAC≅∠DCA, Alternate Interior Angles Theorem

D. △ABC≅△CDA, SAS Triangle Congruence Theorem

Answer:

A and B and C

theres another answer right here that explains why

Answer:

24 years

Step-by-step explanation:

Total = start*(1 + interest rate / amount of times compounded per month)^(years*amount of compounds per year)

6000 = 3000*(1+0.03/4)^(4x)

6000 = 3000* ((403/400)^4)^x

2 = ((403/400)^4)^x

x = log base-((403/400)^4) of 2 = x

x = 23.19

rounding down 23 years (but you probably want a year over that to get at least 6000, so 24)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Probably C but I sure wouldn't bet the farm on it. It looks like C is about 1.5 times the size of X

Answer: The answer is 30 or B

.

Step-by-step explanation:

Answer: B. 30 ft

Step-by-step explanation: we know that 3 is corresponding to 15 and 6 to x. 3 was multiplied by 5 to get to 15, so the same must be done to 6 to get the value for x. 6 * 5 = 30.

Answer:

15% off $30

Step-by-step explanation:

Answer:

k = y/x

Step-by-step explanation:

1/5, 2/10, 3/15 . . . all equal to 1/5 which is what the value of k is; 'k' stands for constant of proportionality

Answer: 9/1

Step-by-step explanation:

Answer:The correct answer is 16

Step-by-step explanation:

4^2= 16

16-6/2+3

16-3+3

13+3=16

Answer:

damm thats really good

Step-by-step explanation:

Answer:

ooooooo me :)

Answer:

[tex] = 4(32) + (2) \\ = 128 + 2 \\ = 130[/tex]

HOPE THIS HELPS

Answer: 23

Step-by-step explanation:

When p =1 and q=7

Substitute the numbers for the alphabets accordingly and answer the equation

Selah needs to save 35.7% of her weekly pay she will need to save if she wants to sign her lease in 8 weeks.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Starting from the bottom in 8 weeks Selah will earn $(8×650).

= $5200.

The cost of renting the property for 2 months is $(2×825).

= $1650.

And 25% of one month's rent as a security deposit is,

= (25/100)×825.

= $206.25.

So, The total amount she needs to sign is $(1650 + 206.25).

= $1856.25.

Therefore, The percentage of her weekly pay she will need to save is,

= (1856.25/5200)×100.

= 35.69% or 35.7%

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Answer:  the expression would be

6000-p over 24

Step-by-step explanation:since we have given that

amount that liam has=250

amount that he and his classmates had=p

student $p will split=24

Answer:

250-p/24

Step-by-step explanation:

Khan

Answer:

97.43cm³

Step-by-step explanation:

h = 22cm

d = 10cm

r = d/2

= 10/2

= 5

dh = 2(0.4)

= 0.8

dr = 0.05

V = πr²h

dV = d(πr²h)

Such that

πd(r²h)

= π[(r²dh + hd(r²)]

dV = π[(r²dh + 2rhdr]------(1)

When we put the values above in this equation 1 above:

dV = π[(5)²*0.8 + 2*5*22*0.05]

= π(25*0.8+11)

= π31cm³

Multiply the value of pi with 31cm³

= 97.43cm³

Answer:

80 ft^2

Step-by-step explanation:

The area of a rectangular walkway = L x W = 20 ft x 4ft =  80 ft

Answer:

34 laps

Step-by-step explanation:

the specific answer is 33.3 but u have to round the whole number

Answer:

B 244

Step-by-step explanation:

You can split up the polygon into two separate rectangles, one smaller one on top and one bigger one below.

Area of smaller rectangle = 6 × (14-8)

                                          = 36

Area of bigger rectangle = 26 × 8

                                         = 208

Total area of polygon = 36 + 208

                                    = 244

Answer:

Pretty sure its D.

Step-by-step explanation:

Whenever I made t something higher than 0 I got something less than 40|

(Sorry if I didn't make it in time and if I did I'm taking the same test rn gl homie)

The value of function W(t) will be less then 40 if t > 0 thus option (D) is correct.

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

As per the given function,

W(t) = 40[tex]e^{-0.35t}[/tex]

By the law of indices,

W(t) = 40/[tex]e^{.035t}[/tex]

When t > 0 the value of  [tex]e^{.035t}[/tex] > 1

Thus, t > 0 the value of W(t) < 40

Hence "The value of function W(t) will be less then 40 if t > 0".

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Answer: 1 7/11

please mark as brainliest

Answer:

1 7/11

Step-by-step explanation:

Answer:

c

Step-by-step explanation: