Determine the simple interest. The rate is an annual rate. Assume 360 days in a year.
p = $390, r=6.25%, t = 2.75 years
HERE
The simple interest is $0
(Round to the nearest cent as needed.)

9514 1404 393

Answer:

  $3281.79

Step-by-step explanation:

The compound interest formula is ...

  A = P(1 +r/n)^(nt)

where A is the balance resulting from investment of P at annual rate r compounded n times per year for t years.

We have P=$3000, r=0.06, n=12, t=1.5, so the account balance is ...

  A = $3000(1 +0.06/12)^(12·1.5) = $3000(1.005^18) ≈ $3281.79

There will be $3281.79 in the account after 18 months.

Step-by-step explanation:

Given: [tex]x^5w + w^7 + wz^2 + 8yz = 0[/tex]

Taking the partial derivative of the above equation with respect to z, we get

[tex]x^5\dfrac{\partial{w}}{\partial{z}} + 7w^6\dfrac{\partial{w}}{\partial{z}} + z^2\dfrac{\partial{w}}{\partial{z}} + 2z + 8y =0[/tex]

Collecting all terms containing [tex]\frac{\partial{w}}{\partial{z}},[/tex] we get

[tex](x^5 + 7w^6 + z^2)\dfrac{\partial{w}}{\partial{z}} = -2(z + 4y)[/tex]

Then

[tex]\dfrac{\partial{w}}{\partial{z}} = \dfrac{-2(z + 4y)}{x^5 + 7w^6 + z^2}[/tex]

The derivative using implicit differentiation can be calculated and after rearranging the terms.

Implicit differentiation is the technique in which the derivative of y with respect to x using implicit differentiation without having to solve the supplied equation for y.

We have:

[tex]\rm x^5w+w^7+wz^2+8yz=0[/tex]

We have to find the:

= ∂w/ ∂z

[tex]\rm \dfrac{\partial }{\partial z}[\rm x^5w+w^7+wz^2+8yz=0][/tex]

[tex]\rm x^5\dfrac{\partial w}{\partial z} +7w^6\dfrac{\partial w}{\partial z}+z^2\dfrac{\partial w}{\partial z}+2z+8y=0[/tex]

After rearranging the terms:

[tex]\rm (x^5 +7w^6+z^2)\dfrac{\partial w}{\partial z}= -2(z+4y)[/tex]

[tex]\rm \dfrac{\partial w}{\partial z}= \dfrac{-2(z+4y)}{x^5 +7w^6+z^2}[/tex]

Thus, the derivative using implicit differentiation can be calculated and after rearranging the terms.

Learn more about the implicit differentiation here:

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Answer:

3 people

Step-by-step explanation:

Let "x" represent the number of people who payed with cash

Let "y" represent the number of people who payed with credit card

14x +15y = 177 ---------1

3x =y--------- 2

solving simultaneously,

put eqn 2 into eqn 1

14x + 15 (3x) = 177

14x + 45x = 177

59x = 177

x=3

From eqn 2 , y = 3 x

y = 3 (3)

y=9

therefore the number of people who paid with cash were 3.

Answer:

160 degrees

Step-by-step explanation:

starting with the 110 degrees angle. the unnamed angle to the right of the 110 degrees is simply the complement of 110 to 180 degrees = 70 degrees.

then B is actually 180 - 90 - 70 = 20 degrees

and then A is the complementary angle of these 20 degrees to 180 degrees = 160 degrees.

Answer:

112

Step-by-step explanation:

1 bag- Has 14 marbles in all

So if you multiply 14 times 8 total bags you get 112.

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Hey, there! Based on the table from the picture, every hour increased is $6 increased for the cost of the rental.

First hour: $10

Second hour: $16

Third hour: $22

Fourth hour: $28

So, final answer is:

+1 hour=+$6.

Anyways, I hope this helps! Enjoy your day! Take care!

Answer:

[tex]20x\sqrt{x}[/tex]

Step-by-step explanation:

[tex]\sqrt{20x^{2} }[/tex] × [tex]\sqrt{20x}[/tex]

= [tex]\sqrt{20x^{2} * 20x }[/tex]  | * = ×

=[tex]\sqrt{400x^{3} }[/tex]

=[tex]20x\sqrt{x}[/tex]

Answer:

The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh,

Answer:

x1 = -8, x2= 2

Step-by-step explanation:

1. Write 6x as a difference

= x^2 + 8x - 2x - 16 = 0

2. Factor the expressions

= x ( x + 8 ) - 2x - 16 = 0

= x ( x + 8 ) - 2 ( x + 8 ) = 0

Factor out x + 8 from the expression

= ( x + 8 ) ( x - 2 ) = 0

3. When the product of factors = 0, at least one factor is 0

x + 8 = 0

x - 2 = 0

4. Solve the equation for x

x = - 8

x = 2

Therefore, the equation has 2 solutions :

x1 = -8, x2 = 2

Answer:

b)68

Step-by-step explanation:

i think helping you...say correct or no...

Hey there!

I believe x might be 1296.

Look at the question closely, the square root of a number minus thirty-six equals zero.

The square root of 1296 would equal 36, so, 36 - 36 = 0.

Hope this helps!

Have a wonderful day!

Answer:

D

Step-by-step explanation:

I think its D because you multiple the number that is out of the the bracket with the numerators..

so its

a^4/b^12

Answer: a=6 and b=2

Step-by-step explanation:

Let say A and b the 2 numbers.

[tex]\dfrac{a}{b} =\dfrac{3}{1} \Longrightarrow\ a=3b\\\\\dfrac{a^2+b^2}{a-b} =\dfrac{10}{1} \Longrightarrow\ (3b)^2+b^2=10*(3b-b)\\\\\Longrightarrow\ 10*b^2=10*2b\\\\\Longrightarrow\ b=2\\\\\Longrightarrow\ a=6\\\\[/tex]

Answer:

k = [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Using the discriminant

Δ = b² - 4ac

For a repeated real solution then

b² - 4ac = 0

Given

16x² - [tex]\frac{8}{3}[/tex] x + k = 0

with a = 16, b = - [tex]\frac{8}{3}[/tex] , c = k

(- [tex]\frac{8}{3}[/tex] )² - ( 4 × 16 × k) = 0

[tex]\frac{64}{9}[/tex] - 64k = 0 ( subtract [tex]\frac{64}{9}[/tex] from both sides )

- 64k = - [tex]\frac{64}{9}[/tex] ( divide both sides by - 64 )

k = [tex]\frac{1}{9}[/tex]

Answer:

1764

Step-by-step explanation:

Y=6b+12ab^2

Let a = 4

b = 6

Y = 6(6) +12 (4)(6)^2

   = 36 + 12 (4) (36)

   = 36+1728

   =1764

Answer:

[tex]\huge\boxed{\sf Y = 1764}[/tex]

Step-by-step explanation:

[tex]Y = 6b+12ab^2\\\\Given \ that \ a = 4 , \ b = 6\\\\Putting \ values\ in \ given \ equation\\\\Y = 6(6) +12(4)(6)^2\\\\Y = 36 + 48(36)\\\\Y = 36 + 1728\\\\Y = 1764\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

47

Step-by-step explanation:

x is one of the three angles of a triangle. The other two are given as 95 and 38.

Together all three have to make 180 degrees.

x + 95 + 38 = 180

x + 133 = 180

x = 180 - 133

x = 47

Answer:

47

Step-by-step explanation:

as we know that sum of a triangle is always=180°

so x+38°+95°=180

so x+133=180

and x=180-133

so x= 47

Answer:

a. 65 - 3 x = 55 - 2.5 x

ab. 20

b. 5

Step-by-step explanation:

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal​ value, will be $10.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let x be the number of days and y be the value of the card.

Tavon has a gift card for $110 that loses $2.50 for each​ 30-day period it is not used. He has another gift card for $90 that loses $2 for each​ 30-day period it is not used. Then the equations will be

y = 110 - 2.5x    ...1

y = 90 - 2x       ...2

From equations 1 and 2, we have

110 - 2.5x = 90 - 2x

20 = 0.5x

x = 40

And the value of y will be

y = 110 - 2.5(40)

y = 110 - 100

y = $10

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal​ value, will be $10.

More about the linear equation link is given below.

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Answer:

3.   15

6.   4

Step-by-step explanation:

Put  3 instead of x

3.    5x

     = 5 × 3

    = 15

6.   12 ÷ x

     = 12 ÷ 3

     = 4

Answer:

When X is 3 it will be

5(3)=15

Then for the second one it will be 12/3

The answer is 4

Hope I helped

Answer:

In my point of view It's true

Answer:Ture

Step-by-step explanation: dont have one jsut makes the most sense im a very smart 14 y/o

Answer:

8500

Step-by-step explanation:

depreciation=10000×15%=1500

initial cost = 10000

final cost = initial cost- depreciation

=10000-1500

=8500

Turn 9 into [tex]\frac{81}{9}[/tex]. Then, convert 4 [tex]\frac{4}{9}[/tex] into a improper faction ( [tex]\frac{40}{9}[/tex] ). Then, subtract

[tex]\frac{81}{9} - \frac{40}{9} = \frac{41}{9}[/tex]. Lastly, convert  [tex]\frac{41}{9}[/tex] to a mixed fraction ( [tex]4\frac{4}{9}[/tex] ).

Your answer is [tex]4\frac{4}{9}[/tex].

Hi! I'm happy to help!

To first of all write this expression, we need to know what sum means. Sum means addition, so we are adding. From there, we write it like this:

[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]

This is how you write it.

If you want to solve it, you need to know what pi is. pi is 3.14159...

It goes on forever, but we cane round to the nearest ten thousandth.

From here, you need to turn [tex]\frac{7}{4}[/tex] into a decimal. 4/4 is equal to 1, and 3/4 is equal to 0.75. Together, equal 1.75, or 7/4

Now, we solve our equation:

[tex]\frac{7}{4}[/tex]+[tex]\pi[/tex]

[tex]\frac{7}{4}[/tex]+3.14159

1.75+3.14159

4.89159

This is what the answer to the expression is.

I hope this was helpful, keep learning! :D

Answer:

1) y=-11x-50    2)y=-8x+16

Step-by-step explanation:

1.  y=mx+b- it is the main equation for a line'

If we take the first point and use its coordinates we have -6=-4m+b

If we take the second point and use its coordinates we have 5=5m+b

These equations are simultaneous for our line because the line passes through both points

-6=-4m+b

5=-5m+b

If subtract the second one from the first equation

-6-5= -4m+b- (-5m+b)

-11= m

b= -6-44=-50

y=-11x-50

2) y=mx+b

-8=-8*3+b

b=16

y=-8x+16

Answer:

no solutions

Step-by-step explanation:

[tex]4x + y = 24 - - - (a) \\ y = - 4x + 24 - - - (b)[/tex]

substitute for y in (a) with (b):

[tex]4x + ( - 4x + 24) = 24 \\ 0x = 0[/tex]

Answer:

infinite solutions

Step-by-step explanation:

substitute y in the first equation

4x+(-4x+24)=24

4x and -4x cancel out

24/24=1

or solve for x, you should also get 1

Answer:

D. (x+2)(-8x+70)​

Step-by-step explanation:

-8x^2+54x+140

Factor out -2

-2(4x^2+27x+70)

Factor

-2(x+2)(4x-35)

Option D is the same answer if we multiply -2 in the second term

(x+2) (-8x+70)

Answer:

[tex]A = \frac{1}{2} \pi r [/tex]

multiply all sides by 2:

[tex]2 \times A = ( \frac{1}{2} \pi r) \times 2 \\ \\ 2A = \pi r[/tex]

divide all sides by r:

[tex] \frac{2A}{r} = \frac{\pi r}{r} \\ \\ \frac{2A}{r} = \pi[/tex]

therefore:

[tex]{ \boxed{ \sf{\pi = \frac{2A}{r} }}}[/tex]

Answer:

They can all be simplified to 2/3

the answer

Answer: 109.27

Explanation:

N=3 I=3% pv=100 pmt =0 cpt fv

$109.27

if you do not add anything to the $100 and strictly rely on interest.