Scott invested a total of $5400 at two separate banks. One bank pays simple interest of 12% per year while the other pays simple interest at a rate of 9% per year. If Scott earned $576.00 in interest during a single​ year, how much did he have on deposit in each​ bank?

Answer:

9x +5

Step-by-step explanation:

combine like terms!

Answer: y=-4x+7

Step-by-step explanation:

To find a parallel line, we know that the slope must be the same because parallel lines NEVER touch or cross. All we have to do is use the given point to find the y-intercept.

y=-4x+b

7=-4(0)+b            [multiply]

b=7

Now, we know that the final equation is y=-4x+7.

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is y = - 4x + 2

Comparing with the general equation above

Slope / m = - 4

Since the lines are parallel their slope are also the same

Slope of parallel line = - 4

So the equation of the line using point (0,7) and slope - 4 is

[tex]y - 7 = - 4(x - 0) \\ y - 7 = - 4x[/tex]

We have the final answer as

Hope this helps you

By the product rule,

[tex](fg)'=f'g+fg'[/tex]

so that

[tex](fg)'(7)=f'(7)g(7)+f(7)g'(7)=10\cdot(-1)+4\cdot8=22[/tex]

By the quotient rule,

[tex]\left(\dfrac fg\right)'=\dfrac{f'g-fg'}{g^2}[/tex]

so that

[tex]\left(\dfrac fg\right)'(7)=\dfrac{f'(7)g(7)-f(7)g'(7)}{g(7)^2}=\dfrac{10\cdot(-1)-4\cdot8}{(-1)^2}=-42[/tex]

Answer:430.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

12.5 mini pies or 12 depending on what it asks for

Step-by-step explanation:

Divide 2.50 by 0.2 to get 12.5

The answer can also be 12 because some teachers want students to know that you can't really make half a pie. Whatever your teacher prefers.  

Answer:

[4,∞)

Step-by-step explanation:

x≥4

[4,∞)

Answer:

x = 6, y = 8

Step-by-step explanation:

First, we need to find the scale factor from the smaller polygon to the larger polygon. To do this, we can calculate 18 / 12 which is 1.5. Therefore, we can write the following equations:

x · 1.5 = 9 → x = 6

y · 1.5 = 12 → y = 8

Answer:

gfAnswer:Answer:Answer:Answer:Answer:Answer:Answer:

Step-by-step explanation:

fgAnswer:Answer:Answer:Answer:Answer:Answer:Answer:Answer:Answer:Answer:

Answer:

2x2+3x-3

Step-by-step explanation:

The first thing you want to do is find all the X2"s and add those together and that looks like this 3x2+(-x2) which would be 2x2. Then you want to find all of the x's and add them together which looks like this -2x+5x which is 3x. Then you find all the whole numbers without a variable and that's 2-5 which equals to be -3.

Answer:

-8

Step-by-step explanation:

if he took out the same number of fish each day then it would be 8 a day resulting in a decrese of 8 fish a day.

Answer:

[tex]x1=\frac{49+\sqrt{2429}}{14} \\x2=\frac{49-\sqrt{2429}}{14} \\[/tex]

Step-by-step explanation:

[tex]x^2-7x-\frac{1}{7} =0\\7x^2-49x-1=0\\D=b^2-4ac=(-49)^2-4*7*(-1)=2429\\x1=\frac{49+\sqrt{2429} }{14} \\x2=\frac{49-\sqrt{2429} }{14} \\[/tex]

Answers:

The Weighted Average = 5.35

Explanation:

The weighted average is given by:

W(avg) = v1*w1 + v2*w2 + v3*w3

v1.v2.v3 are the values

w1,w2,w3 are the weights

W(avg) = 5.00*0.75 + 6.00*0.15 + 7.00*0.10

W(avg) = 3.75+0.9+0.7

W(avg) = 5.35

Hence, the weighted average is equals to 5.35

Hey there!

[tex]10*1/5[/tex]

Divide 10 by 5.

[tex]10/5=2\\2(ANSWER)[/tex]

Hope this helps!

[tex]-TestedHyperr[/tex]

Answer:

2.

Step-by-step explanation:

[tex]10 *\frac{1}{5} = 2[/tex]

Answer:

-9 < 3i

Step-by-step explanation:

3i is bigger than -9 because 3i² is equal to -9

i means imaginary number

Hope this helps!

Answer: D

Step-by-step explanation:

To find f(g(x)), you want to take g(x) and plug that into f(x). Since we are given f(x) and g(x), we can go ahead and do that.

f(g(x))=2(x-3)+4                  [distribute]

f(g(x))=2x-6+4                     [combine like terms]

f(g(x))=2x-2

Now, we know that f(g(x))=2x-2.

(s)+(s×0.06)=t

t is the total

s is the shoes

Answer:

no

Step-by-step explanation:

Answer:

8 6/7 is greater than 8 3/5

Step-by-step explanation:

Step 1:

8 3/5 = 8 21/35

Step 2:

8 6/7 = 8 30/35

Answer:

8 6/7 is greater than 8 3/5

Hope This Helps :)

Answer:

yes

Step-by-step explanation:

Answer:

don't worry bbg I got you give me a moment

Answer:

I think its right

Step-by-step explanation:

thats what I got too

Answer:

9-3=6

Step-by-step explanation:

An addition/subtraction fact family has 2 addition equations and 2 subtraction ones.

The question already states both addition ones, but only one subtraction

The subtraction one stated is 9-6=3

The opposite is 9-3=6

Hope this helps :-)

Answer:

.65x(1.07) = 0.6955x

Step-by-step explanation:

[tex]\boxed{\sf ab+ac=a(b+c)}[/tex]

[tex]\\ \rm\longmapsto (8\times 5)+(8\times 2)[/tex]

[tex]\\ \rm\longmapsto 8(5+2)[/tex]

[tex]\\ \rm\longmapsto 8(7)[/tex]

[tex]\\ \rm\longmapsto 56[/tex]

3 x's at 1

4 x's at 1 1/4

3 x's at 1 1/2

1 x at 1 3/4

No x's at 2.

Now, let's combine all the recipes with 1 1/4

5/4 * 4 = 20 / 4 = 5 teaspoons

Answer:

16tan(8θ)sec²(8θ)

Step-by-step explanation:

Given the question :

Find the derivative of the function. y = tan2(8θ)

y = tan²(8θ)

USing chain rule :

dy/dx = (du/dx) × (dv/du) × (dy/dv)

Let u = 8θ ; du/dθ = 8

v = tan u ; dv/du = sec²u

y = v² ; dy/dv = 2v

Hence,

(dy/dθ) × dv/du × dy/dv

8 * sec²u * 2v

Where v = tan u ; u = 8θ

8 * sec²8θ * 2tan8θ

16tan(8θ)sec²(8θ)

Answer: A

Step-by-step explanation:

This picture is very blurry, but the line appears to be a solid line. Since it is a solid line, it tells us that the inequality is ≤ or ≥. We can eliminate C and D. Now, the difference between A and B is the shading. Since the shading is showing that the numbers are increasing, we know that the inequality is ≥. Therefore, A is the correct answer.

Answer:

Step-by-step explanation:

A). There are three points given on the plane R.

    Point X, point Y and Point Z.

B). A ray from the point Y → [tex]\overrightarrow{XY}[/tex]

   A ray starting from point X and passing through Y to infinity.

C). Name of a line → [tex]\overleftrightarrow{YZ}[/tex]

    Aline passes through two points with both the ends directing towards infinity.

D). Name of a plane → Plane R or Plane XYZ

    A plane is defined by three points lying on the same surface.

Answer:

6.75kg of fruit

Step-by-step explanation:

5 + 1 = 6

.15 + .6 = .75

6 + .75 = 6.75

Answer:

6.75

Step-by-step explanation:

Add 5.15 and 1.60

5.15

1.60

6.75