6th grade math help me please

The amount the company will have in scholarship funds at the end of ten years is $604,019.83.

The interest is $204,019.83.

a) The amount the company will have in scholarship funds at the end of ten years can be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

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

Where,

FV = Future value or the scholardhip amount after 10 years =?

P = Quarterly payment or payment at the end of every 3 months = $10,000

r = Quaterly interest rate = 8% / 4 = 2%, 0.02

n = number of periods = number of quaters in a year * 10 = 4 * 10 = 40

Substituting the values into equation (1), we have:

FV = $10,000 * (((1 + 0.02)^40 - 1) / 0.02)

FV = $604,019.83

b) The interest can be found as follows:

Total payment = P * n = $10,000 * 40 = $400,000

Interest = FV - Total payment = $604,019.83 - $400,000 = $204,019.83

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Answer:

y=2x-A

Step-by-step explanation:

Answer:

246.36

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

Slope that passes through two points, (10, y) and (3, 4) = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex].

Where,

[tex] (10, y) = (x_1, y_1) [/tex]

[tex] (3, 4) = (x_2, y_2) [/tex]

m = -²/7

Plug in the values

[tex] \frac{-2}{7} = \frac{4 - y}{3 - 10} [/tex]

[tex] \frac{-2}{7} = \frac{4 - y}{-7} [/tex]

Cross multiply

[tex] -2*-7 = 7(4 - y) [/tex]

[tex] 14 = 28 - 7y [/tex]

[tex] 7y = 28 - 14 [/tex]

[tex] 7y = 14 [/tex]

Divide both sides by 7

y = 2

Answer:

pet care will be cheaper

Step-by-step explanation:

pet care may have a higher boarding per day of 2+ more than fido's but the bathing is way higher in fido going 12+more than pet care.its mean ur paying even more in fidos by a total per day of 55 while pet care Per day is 45

boarding(in total)

(week-long vacation)

pet care=30x7=210

fidos=28x7=196

bathing (in total)

pet care=15x7=105

fidos=27x7=189

total cost

pet care=315

fidos=385

Step-by-step explanation:

a whole number has 0 decimal places (after the decimal point, meaning on the right side of the decimal point).

so, all the decimal places (4) must come from the other factor.

a multiplication by a whole number is always a series of additions of the other factor with itself. if anything, such a multiplication eliminates decimal places. it does not create additional ones.

e.g.

3.06 × 5 = 15.3 (because it is actually 15.30, but trailing 0s don't have any value like leading 0s, and are normally skipped).

the increase in the decimal places happens by involving places with higher value : 1/10 has a higher value than 1/100, that has a higher value than 1/1000, and so on.

so, e.g. 0.2×9 = 1.8 (and not 0.18).

as it is 2/10 × 9 = 18/10 = 1.8

an addition cannot create suddenly new decimal places with lower value.

therefore, normally we would say the other factor has 4 decimal places.

but in reality, it is a I said above, the 4 decimal places of the result of the multiplication "come from the other factor".

we cannot say that the other factor has 4 decimal places, because it could have more, and the multiplication with the whole number removed some.

e.g. 3.6 × 5 = 18 (or 18.0).

so,

32.3046 could be 6.46092 × 5

when we think this through, the other factor could have infinitely many decimal places.

like 5/9 × 108 = 0.555555... × 108 = 60

or our number

32.3046 could be 0.2991166666... × 108

so, all we can say, the other factor must have at least 4 decimal places.

Given that,

Points are (0,6) an (-5,2).

To find,

The equation of line that passes through the given points.

Solution,

We have, x₁ = 0, x₂ = -5, y₁ = 6 and y₂ =2

The equation of line can be calculated as :

[tex]y-y_1=m(x-x_1)\\\\y-6=\dfrac{2-6}{-5-0}(x-0)\\\\y-6=\dfrac{-4}{-5}x\\\\y-6=\dfrac{4}{5}x\\\\5y-30=4x\\\\5y-4x=30[/tex]

So, the required equation is 5y-4x=30.

Answer:

Step-by-step explanation:

43min=3miles

93min=3*93=279/43

austin will walk 6.488miles for 93 minutes

The side of the square shape is calculated as 4cm.

A square is a subset of a rectangle (an equilateral rectangle) and a subset of a parallelogram (an equilateral and equiangular one).

As, a wire is 32-centimetre-long,

If we cut this same wire in half, the result should be 1/2 of total of

32/2 = 16

In addition, the square has four equal sides.

16/4 = 4

As a result, the square's sides should be 4 cm.

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The complete question is-

A wire is 32 cm long. The wire is cut into 2 pieces, each piece is bent and formed into the shape of a square. Calculate the side of square.

Answer:

infinite solution

Step-by-step explanation:

if substitute 3y+4 Into 3x your equation should be 3(3y+4)-9=12 then you multiply and combine like terms then your answer should be 12=12 which is a true statement meaning it has infinite solutions

Answer: The slope is 3

Step-by-step explanation:

y=3x+5

Slope intercept form formula is y=mx+b

m stands for slope

b stands for y-intercept

Therefore the slope is m which is 3

Answer:

the y is -2 and there's is no slope i think

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

you have to count the x and y variables so 1 is one up from the x and 2 right because its positive and 3 is right because its positive also if I get it wrong I'm sorry

Answer:

a)  We get [tex]\mathbf{A+B=x^2-2x+1}[/tex]

So, Is the result of A+B is a polynomial:Yes

b) We get [tex]\mathbf{A-B=6x^3-7x^2+2x-1}[/tex]

So, Is the result of A-B is a polynomial:Yes

c)  We get [tex]\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}[/tex]

So, Is the result of A.B is a polynomial:Yes

Step-by-step explanation:

We are giving the polynomial equations:

[tex]A= 3x^2(x-1)\\B=-3x^3+4x^2-2x+1[/tex]

We need to find

a) A+B

[tex]A+B=3x^2(x-1)+(-3x^3+4x^2-2x+1)\\A+B=3x^3-3x^2-3x^3+4x^2-2x+1\\A+B=3x^3-3x^3-3x^2+4x^2-2x+1\\A+B=x^2-2x+1\\[/tex]

So, we get [tex]\mathbf{A+B=x^2-2x+1}[/tex]

So, Is the result of A+B is a polynomial:Yes

b) A-B

[tex]A-B=3x^2(x-1)-(-3x^3+4x^2-2x+1)\\A-B=3x^3-3x^2+3x^3-4x^2+2x-1\\A-B=3x^3+3x^3-3x^2-4x^2+2x-1\\A-B=6x^3-7x^2+2x-1\\[/tex]

So, we get [tex]\mathbf{A-B=6x^3-7x^2+2x-1}[/tex]

So, Is the result of A-B is a polynomial:Yes

c) A . B

[tex]A.B=3x^3(-3x^3+4x^2-2x+1)-3x^2(-3x^3+4x^2-2x+1)\\A.B=9x^6+12x^5-6x^4+3x^3+9x^5-12x^4+6x^3-3x^2\\A.B=9x^6+12x^5+9x^5-6x^4-12x^4+3x^3+6x^3-3x^2\\A.B=9x^6+21x^5-18x^4+9x^3-3x^2[/tex]

So, we get [tex]\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}[/tex]

So, Is the result of A.B is a polynomial:Yes

Answer:

Step-by-step explanation:

288pi units3

The volume of the cylinder in the image given is: 288pi units³.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

we know that,

Volume of a cylinder = πr²h,

where:

r = radius of the cylinder

h = height

Given the following:

r = 6 units

h = 8 units

Volume of the cylinder = 288pi units³

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Answer:

Equation for cost (in cents) in terms of w, l, and h is 2h(w + l) + 4l*w

Step-by-step explanation:

We are given

A rectangular box with dimensions

Width = w

Length =  l

Height = h

This needs to be visualized in 3D

First type of Sides of the box is made using the width and height

second type is made using length and height

Area of the 1st two sides = 2*w*h

Area of the 2nd type of sides = 2*l*h

Area of the top and bottom  = 2*l*w

Cost for sides = 1cent/cm^2

Cost of the sides calculated = cost* Area=  1*(2*w*h+2*l*h)

                                                                   = 2h(w + l)

similarly

cost of top and bottom = 2*2*l*w = 4*l*w

Total Cost = 2h(w + l) + 4l*w

Answer:

Step-by-step explanation:

x=0 is the equation because is just a vertical line

Answer: X=0

Step-by-step explanation:

Answer:

4825.49 mm^3

Step-by-step explanation:

V = (pi)(r^2)(h)

(pi)(8^2)(24) = 4825.48632 (round) 4825.49

hopefully this is right i haven't done cylinders in a while lol

Step-by-step explanation:

180 =16x-100-0.1x2

-0.1x2+16x-280=0

x2-160x+2800=0

S=160

P=2800

DELTA=160*160-4*2800

DELTA=25600-10800

DELTA=14400

x1,2=160+/-

[tex] \sqrt{14400[/tex]

divided by 2

x1,2=160+/-120 div by 2

x1=140

x2=20

Answer:

[tex]4x^2-x+8[/tex]

Step-by-step explanation:

First expand [tex](x-8)^2[/tex].

[tex](x-8)(x-8)=x^2-16x+64[/tex]

Now Add:

[tex](x^2-16x+64)+(3x^2+15x-56)\\(x^2+3x^2)+(-16x+15x)+(64-56)=\\4x^2-x+8[/tex]

We want this:

3x^2 + 15x - 56 + (x - 8)^2

First, expand (x - 8)^2 using FOIL.

So, (x - 8)^2 = (x - 8)(x - 8).

(x - 8)(x - 8) = x^2 - 16x + 64.

We now add like terms.

3x^2 + 15x - 56 + x^2 - 16x + 64

4x^2 - x + 8

Done.

Answer:

6.75

Step-by-step explanation:

h=hat, s=scarf

5h + 1s = $47 (equation 1)

2h + 2s = $40 (equation 2)

multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)

equation 3 minus equation 2, we get:

8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75

substitute h = $6.75 into equation 2 to find s,

2($6.75) + 2s = $40

$13.5 + 2s = $40

2s = $26.5

s = $13.25 ⇔ 1 scarf cost $13.25

Answer:

1/2 (x+5) = 36  should be the equation that is used to determine how many rocks George started with.

Step-by-step explanation:

Let 'x' be the number of rocks George had.

As George gave, after getting 5 new rocks, half of his rock collection to Susan which is = 36 rocks

It means after getting 5 new rocks George's total rocks = 72

Given that he gave half collection to Susan = 36

Thus, before inducting 5 new rocks Georg's total rocks were = 67

Thus,

1/2 (x+5) = 36 should be the correct equation.

solving

1/2 (x+5) = 36

Multiplying both sides by 2

1/2 (x+5) × 2 = 36 × 2

x+5 = 72

x = 72 - 5

x = 67

Thus, before getting 5 new rocks, the number of rocks George had = 67

Therefore,

1/2 (x+5) = 36  should be the equation that is used to determine how many rocks George started with.

Answer:

c

Step-by-step explanation:

Answer:

the real solutions are the ones that actually cross the x-axis.

so the real solutions are (-5, 0) (-1,0) (4,0) and (8,0)

Answer:200

Step-by-step explanation:

All you have to do is add.

Answer:

25

Step-by-step explanation:

because its simple math

anyways have an nice day