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2 years ago

you deposit 200 into an account that pays 7% interest compounded quarterly. how much will you have in 5 years

1 answer:

8 0

First, convert R percent to r a decimal
r = R/100
r = 7%/100
r = 0.07 per year,

Then, solve our equation for A
A = P(1 + r/n)nt
A = 200.00(1 + 0.005833333/12)(12)(5)
A = $ 283.53

Summary:
The total amount accrued, principal plus interest,
from compound interest on an original principal of
$ 200.00 at a rate of 7% per year
compounded 12 times per year
over 5 years is $ 283.53.

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Please help! what is the polar equation r = -5 theta in parametric form?<br><br> thank you!

Rudiy27

Use these equations when converting polar equations to parametric equations:

$x=r\cos\theta$

$y=r\sin\theta$

We know that $r=5\theta$ , so substitute that into both equations for x and y.

$x=5\theta\cos\theta$

$y=5\theta\sin\theta$

Now, replace $\theta$ with any variable that you want to represent the parametric equations in. I'll use the standard variable, $t$

$x=5t\cos t$

$y=5t\sin t$

Thus, $r=5\theta$ represented in parametric form is:

$(x,y)=(5t\cos t, 5t \sin t)$

Let me know if you need any clarifications, thanks!

~ Padoru

4 0

3 years ago

solve this system of linear equations. Separate the X- and Y- values with a comma. -9x+2y=-16 19x+3y=41

Serjik [45]

Answer:

(2, 1)

Step-by-step explanation:

The best way to do this to avoid tedious fractions is to use the addition method (sometimes called the elimination method). We will work to eliminate one of the variables. Since the y values are smaller, let's work to get rid of those. That means we have to have a positive and a negative of the same number so they cancel each other out. We have a 2y and a 3y. The LCM of those numbers is 6, so we will multiply the first equation by a 3 and the second one by a 2. BUT they have to cancel out, so one of those multipliers will have to be negative. I made the 2 negative. Multiplying in the 3 and the -2:

3(-9x + 2y = -16)--> -27x + 6y = -48

-2(19x + 3y = 41)--> -38x - 6y = -82

Now you can see that the 6y and the -6y cancel each other out, leaving us to do the addition of what's left:

-65x = -130 so

x = 2

Now we will go back to either one of the original equations and sub in a 2 for x to solve for y:

19(2) + 3y = 41 so

38 + 3y = 41 and

3y = 3. Therefore,

y = 1

The solution set then is (2, 1)

6 0

2 years ago

Read 2 more answers

Solve for the exact value of x.

blsea [12.9K]

Answer:

$\sqrt{89}$

Step-by-step explanation:

Using the Pythagorean Theorem, if you take 8 and square it, you get 64.

You then take 5 and square it giving you 25.

add the 64 and 25 to get you 89 = x squared.

Then take the square roots of x. (Keep in mind, what you do to one side must be done to the other.)

Because 89 is not a perfect square, you can it it as the square root of 89.

6 0

3 years ago

Help me please ASAP

uranmaximum [27]

Perimeter is 24.

Length is 4 greater than the width.

Let's use 'x' for width

we can write this as x+4 + x+4 + x + x

x+4 being the width+4 and x being the width

There are 4 sides to a rectangle so you are adding 4 values

Two length and two widths

so we can then combine the two lengths to make 2x+8

and then combine the two widths to make 2x

Then put it together. 2x+2x+8= 4x+8

4x+8=24

Subtract 8 from both sides

4x=16

divide both sides by 4

x=4

The width is 4.

6 0

2 years ago

1.2.71

egoroff_w [7]

Answer:

Step-by-step explanation:

Set up an equation, where x is the number of gallons of 60% antifreeze solution.

Represent the percentages of antifreeze with decimal values.

0.6x + 0.3(80) = 0.5(x + 80)

Simplify and solve for x:

0.6x + 24 = 0.5x + 40

0.1x = 16

x = 160

So, you have to mix 160 gallons of a 60% antifreeze solution

6 0

2 years ago