Best friends, todd and Alexis, each receive bonus checks in the same amount. They decide to use their bonuses toward a savings plan for the next world cup soccer event in Russia. todds plan is to start with $1050 in a jar and add $32 every year for 4 years. Alexis deposits $1050 into a savings account that pays 3.2% interest annually for 4 years

Step-by-step explanation:

[tex] \sin( \frac{9\pi}{4} ) [/tex]

[tex]0.1230573409[/tex]

Answer:

blank = 0.23

Step-by-step explanation:

to do this you can divide both sides by 100

23/100 is 0.23

blank = 0.23

Answer:

0.23 or 23/100

Step-by-step explanation:

1) Start by setting up an equation

We'll say that x represents the blank.

100x = 23

2) Solve

100x = 23

Divide both sides by 100

x = 0.23 or 23/100

Using separation of variables, it is found that the expression for the mass, M, at any time t, is given by:

[tex]M(t) = 150e^{-kt}[/tex]

In separation of variables, supposing a differential equation in the format [tex]\frac{dy}{dx}[/tex], we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.

In this problem, the differential equation is:

[tex]\frac{dM}{dt} = -kM[/tex]

Then, applying separation of variables:

[tex]\frac{dM}{M} = -k dt[/tex]

[tex]\int \frac{dM}{M} = \int -k dt[/tex]

[tex]\ln{M} = -kt + C[/tex]

[tex]M(t) = M(0)e^{-kt}[/tex]

The initial mass is of M(0) = 150, hence:

[tex]M(t) = 150e^{-kt}[/tex]

More can be learned about separation of variables at https://brainly.com/question/14318343

Answer:

9

Step-by-step explanation:

i dont know 100% but i think is 9

Answer:

Jenna's line would be: C Line L

Step-by-step explanation:

The x coordinates and y coordinates from Jenna's table matches up with the points on Line L. Hope this helped! :)

Answer:

360 naira hope its help

Step-by-step explanation:

brainliest me

Linear equations are usually organized in slope-intercept form, which looks like this:

[tex]y=mx+b[/tex]

To find the equation of a line in slope-intercept form:

We're given:

First, plug the given slope into the slope-intercept form equation:

[tex]y=mx+b\\\\y=\dfrac{1}{2}x+b[/tex]

Now, determine the y-intercept.

[tex]y=\dfrac{1}{2}x+b[/tex]

⇒ Plug in the given point (4,1) and solve for b:

[tex]1=\dfrac{1}{2}(4)+b\\1=2+b\\b=-1[/tex]

⇒ Therefore, the y-intercept is -1. Plug this back into our original equation:

[tex]y=\dfrac{1}{2}x-1[/tex]

[tex]y=\dfrac{1}{2}x-1[/tex]

Answer:

C. (x , y) ----> (y , - x)

hope this helps :)

Answer:

________________________________________________________

Multiply all numbers by the multiplier, the smaller number, and then use any extra digits you carry, bringing you to the ten thousands place.

________________________________________________________

Ask me in the comments box, I can help.

Answer:

the answer is 66.67%

Step-by-step explanation:

54.90-18.30=36.60

36.60÷54.90×100=66.666666666... or 66.67%

Answer:

[tex]Probability = \frac{4}{9} [/tex]

Given:

The die was rolled twice having six sides,

To find:

probability of getting a number greater than 2 =?

solution:

The probability of getting a number greater than 2 on single roll =

[tex] \frac{4}{6} = \frac{2}{3} [/tex]

Similarly on second roll the probability would be

[tex] \frac{2}{3} [/tex]

Since two events are occurring together, the total probability of finding number greater than 2 in both rolls =

[tex] \frac{2}{3} \times \frac{2}{3} = \frac{4}{9} [/tex]

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Presumably, both δ and ρ represent density of some object. Considering the context, ρ is likely a function of 3 variables, ρ = ρ(x, y, z). Then the mass of the sphere with the prescribed density δ(x, y, z) = k ρ(x, y, z) is

[tex]\displaystyle \iiint_B k \rho(x,y,z) \, dx\, dy\, dz[/tex]

where B is the set

[tex]B = \left\{(x,y,z) ~ : ~ x^2+y^2+z^2 \le 7^2\right\}[/tex]

If you have all the details at hand, you can compute the integral by converting to spherical coordinates, substituting

[tex]\begin{cases}x = u \cos(v) \sin(w) \\ y = u \sin(v) \sin(w) \\ z = u \cos(w)\end{cases} \text{ and } dx\,dy\,dz = u^2 \sin(w) \, du \, dv \, dw[/tex]

The integral then transforms to

[tex]\displaystyle k \int_0^{2\pi} \int_0^\pi \int_0^7 \rho(u\cos(v)\sin(w),u\sin(v)\sin(w),u\cos(w)) \, u^2 \sin(w) \, du \, dw \, dv[/tex]

Without any additional information, there's not much more to say...

I think it's an= 13.5 - 2.5n

[tex]a_n=13.5-2.5n[/tex]

[tex]11,\ 8.5,\ 6,\ 3.5,\ 1...[/tex]

[tex]So\ d=8.5-11=b-8.5=3.5-6=1-3.5[/tex]

       [tex]=-2.5[/tex]

[tex]And\ a_1=\parallel \left\{Anithmetic\ \left.\ sequence\right\}\right.[/tex]

[tex]so\ a_n=a_1+d(n-1)[/tex]
         [tex]=11-2.5(n-1)[/tex]
         [tex]=13.5-2.5n[/tex]

[tex]The\ answer:a_n=13.5-2.5n[/tex]

I hope this helps you

:)

We have the following point:-

[tex]\sf{(10,5)}[/tex]

where 10 is the x-coordinate & 5 is the y-coordinate.

If we move 5 units to the left, then we subtract 5 from the x-coordinate:-

[tex]\sf{(10-5,5)}[/tex]

Hence, the point is:-

[tex]\bigstar{\boxed{\pmb{5,5}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

3n+6

Step-by-step explanation:

"3 times the quantity n" = 3 * n = 3n

3n+6

Answer:

Almost all trapezoids have two right angles, beacuse they are quadrilaterals, meaning they will have at least one or more right angles.

__________________________________________________________

Ask me in the comments box.

Please view image below, it supports the answer. The tiny squares in blue circles are highlighted right angles.

Answer:

2 7/24

Step-by-step explanation:

First we have to add the gallons of two cow of each owner:

Hank's cows: 4 3/4 + 4 1/8

Add the whole numbers:

4 + 4 = 8

Now for 3/4 and 1/8

Find common

6/8 + 1/8

= 7/8

Put together :

8 7/8

Debra's cows: 5 1/2 + 5 2/3

Add the whole number

5 + 5 = 10

Now for 1/2 and 2/3

3/6 + 4/6

1 1/6

10 + 1 1/6

= 11 1/6

Since now we know that:

Hank - 8 7/8

Debra - 11 1/6

we can solve the question:

How many more gallons of milk did Debra's two cows produce on that compared to Hank's two cows?

Solution:

11 1/6 - 8 7/8

Subtract whole number

11 - 8 = 3

Now for 1/6 and 7/8

4/24 - 21/24

4-21/24

-17/24

2 7/24

~lenvy~

Answer:

2 7/24

Step-by-step explanation:

Hank Cows:

4 3/4 and 4 1/8

Debra Cows:

5 1/2 and 5 2/3

To find the difference between Hank cows and Debra cows..

we first have to add both cows together:

4 3/4 + 4 1/8 = 8 7/8  {Hank}

5 1/2 + 5 2/3 = 11 1/6  {Debra}

Since now we know Hank and Debra total gallons of milk we can solve and find out the difference.

11 1/6 - 8 7/8 = 2 7/24

Hence, Debra have 2 7/24 more gallons of milk than Hank.

[RevyBreeze]

Answer:

the more you will pay in interest cost

Given that the absolute value of a function is its positive value and the value of x is -10, hence the absolute value of x is 10

The absolute value is the positive value of any given value.

Given the equation

x + 8 = -2

Determine the value of x

x = -2 - 8
x = -10

Since x is -10, hence the absolute value of x is 10

Learn more on absolute value here: https://brainly.com/question/24368848

Answer:

52

Step-by-step explanation:

a-8x =4-8×-6

=4-(-48)= 4+48=52

Answer:

scale factor = 6

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, shape B to shape A

base of shape A = 1 , base of shape B = 6 , then

scale factor = [tex]\frac{6}{1}[/tex] = 6

After finding the ratio of their corresponding sides of triangles the scale factor we get is 6.

The difference in scale between an original item's scale and a new object that is its representation but is larger or smaller is known as a scale factor.

From figure

For small triangle:

base = 1 units

For large triangle:

base = 6 units

Now the scale factor = ratio of adjacent sides

Scale factor = (Base of large triangle)/(Base of small triangle)

Scale factor = 6/1

Scale factor = 6

Hence,

The scale factor is 6.

To learn more about the triangle visit;

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Answer:

w=2

Step-by-step explanation:

Step-by-step explanation:

first simplified by dividing both sides by -5.

then, at

w - 5 = -3

add 5 to both sides.

and we get

w = 2

Answer:

5 [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4} = \frac{2}{8}[/tex]

[tex]\frac{2}{8} + 5\frac{3}{8}[/tex]

Your solution is:

5 [tex]\frac{5}{8}[/tex]

Answer:

[tex] \frac{0.75x - 3}{x - 1} [/tex]

Step-by-step explanation:

Equation of a rational function is

[tex] \frac{p(x}{q(x)} [/tex]

where q(x) isn't zero.

There is a vertical asymptote at

[tex]x = 1[/tex]

So this mean that our denomiator must have a zero that occur at x=1.

That zero is

[tex]x - 1[/tex]

So our denomiator is

[tex] \frac{p(x)}{x - 1} [/tex]

Since our horinzontal asymptote is a non zero value, the numerator must be a linear equation as well.

So our rational function is

[tex] \frac{ax + b}{x - 1} [/tex]

We know the graph pass through (0,3)

So if we apply that logic,

[tex] \frac{a(0) + b}{0 - 1} = 3[/tex]

[tex] \frac{b}{ - 1} = 3[/tex]

[tex]b = - 3[/tex]

And it passes through (4,0)

[tex] \frac{a(4) + b}{3} = 0[/tex]

[tex]4a + b = 0[/tex]

[tex]4a + ( - 3) = 0[/tex]

[tex]4a = 3[/tex]

[tex]a = \frac{3}{4} [/tex]

So our rational equation is

[tex] \frac{0.75x - 3}{x - 1} [/tex]

Answer: 2 1/3

Step-by-step explanation:

We first convert this to mixed number: 5/1 / 15/7

Then cross cancel and factor to get 7/3.

Lastly we convert this back to a  mixed number.

So we get 2 1/3 or 0.667 (decimal)

[tex]\cfrac{42}{70}~~ = ~~\cfrac{u}{55}\implies \cfrac{(14)3}{(14)5}~~ = ~~\cfrac{u}{55}\implies \cfrac{3}{5}=\cfrac{u}{55}\implies \cfrac{3(55)}{5}=u \\\\\\ 3\cdot \cfrac{55}{5}=u \implies 3\cdot 11=u\implies 33=u[/tex]