Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan. How much interest will Amy pay?

Answer:

A) Second, as 3/8 is larger than 1/3.

B) 7/24

Step-by-step explanation:

3/8 put as a decimal is 0.375. 1/3 is 0.3333 which means that 3/8 is greater than 1/3.

9/24 is another way to write 3/8. 8/24 is another way to write 1/3. 9 + 8 is 17. 17/24 has been eaten. Therefore, 7/24 remains.

Answer:

$108 less

Step-by-step explanation:

2 + 3 + 5 = 10 parts

each part is 360/10 = $36

Hanna has 5 - 2 = 3 parts less than Kelly

3 * 36 = 108

$108 less

Answer:

Step-by-step explanation:

Solve for h.

h - 6 =  7

h = 7 + 6

h = 13

------------------

check

13 - 6 = 7

7 = 7

the answer is good

So, this one is pretty easy. Since h-6=7, you just add 6 and 7 and subtract 6 to find the answer, like this.

6+7=13

13-6=7

and h=13

Easy, huh?

~combination

[tex] \large \sf C(n,r) = \frac{n!}{(n-r)! .r!} [/tex]

[tex] \large \sf = C(9,3) = \frac{9!}{(9-3)!.3!} [/tex]

[tex] \large \sf = \frac{9!}{6!.3!} [/tex]

[tex] \large \sf= \frac{(9.8.7.6.5.4.3.2.1)}{(6.5.4.3.2.1).(3.2.1)} [/tex]

[tex] \large \sf = \frac{362880}{720.6} [/tex]

[tex] \large \sf = \frac{362880}{4320} [/tex]

[tex] \large \sf = \boxed{84}\: ✓[/tex]

~ nice to help you ^^

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

First, we need to make the denominators the same.

[tex]\frac{7}{10} -\frac{2}{5} =\frac{7}{10} -\frac{2*2}{5*2}=\frac{7}{10} -\frac{4}{10}[/tex]

Then, we subtract the numerator.

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

Answer:  f(2) is 3.

Step-by-step explanation:

f(2) just means "what is the vale of the function, f, when x = 2?  Look for x=2 and read the y value where the line crosses x=2, in this case, the y value is 3.  So f(2) = 3.

======

[One could also determine the equation for the line.  Provided below.]  

The slope is -(1/2) and the y-intercept is 4:

y = -(1/2)x + 4

For x=2,

y = -(1/2)*(2) + 4

y = 3  

y(2) = 3  

Answer:

sine 60 = x / 8

(8 * 0.86603) = x

x = 6.92824

Step-by-step explanation:

The Answer will equal 4(x-1)(x-6)

Step by step explanation= 4x^2+20x-24, 16x+20x-24, 36x-24= 12x

Answer:

4(x-1) (x-6) as an evaluation OR 12x as the answer since you didn't include what it equals.

Step-by-step explanation:

4x^2+20x-24

16x+20x-24

36x-24

12x

Answer:

16.49%

Step-by-step explanation:

0.97+16.49%=1.129953

The percentage increase is 16.49%

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100)

We are given that the price of a newspaper increased from $0.97 to $1.13

WE need to find the percentage increase.​

Therefore,

Intital price = 0.97 ( 1.13 - 0.07)

= 0.16 / 0.97 x 100

= 16/0.97

= 16.49

0.97+16.49%  = 1.129953

Learn more about percent here:

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Answer: 24.5 m² ( area)

Step-by-step explanation:

See , Total area of wall is given - length , 6m - width/breadth , 5m

          so , Area of total wall = l x b = 6*5 = 30m²

so , there is a window whose length is 2 meters and breadth/width of 0.5m

         so , Area of window = l x b = 1m²

So , area of door  = length , 3 - Width/breadth- 0.5 m²

        So , Area of door = 3* 1.5 = 4.5

Then the question wants us to find the area of the wall without counting window and door . So we can subtract the area of door and window from the area of the whole wall to get the area of the wall without the window and door .

= total area of wall - area of window and door

30m²-1m²-4.5

So as a result , we get a total area of the wall without the window and door to be painted as  24.5m²

Answer:

3.75

Step-by-step explanation:

If Alex borrowed 12.50 and paid him back only 8.75, that means he still owes him 3.75. 12.50 - 8.75 = 3.75

Answer:

Both of them are Non-Proportional since none are touching 0. I'm not sure if you're looking for Proportionality.

Answer:

2550

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

The two given angles are supplementary angles, but also all angles on a straight light must add up to 180°:

3x + 14 + 7x - 4 = 180

Add like terms

3x + 7x + 14 - 4 = 180

10x + 10 = 180

Subtract 10 from both sides to isolate 10x:

10x + 10 - 10 = 180 - 10

10x = 170

Divide both sides by 10:

10x ÷ 10 = 170 ÷ 10

x = 17

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\sqrt{3} - \frac{2}{\sqrt{3} } = \frac{3}{\sqrt{3} } - \frac{2}{\sqrt{3} } = \frac{1}{\sqrt{3} } = \frac{\sqrt{3} }{3}[/tex]

ok done. thank to me :>

Answer:

[tex]2(w-7) < 30[/tex]

Step-by-step explanation:

Combine each step give us the next expression: [tex]2(w-7) < 30[/tex]

Answer:

2w+14<(with the line under the <)30

Step-by-step explanation:

Answer:

Hello!

After reviewing the question you have provided, I came up with the correct answer:

C) 2

Step-by-step explanation:

Firstly:

As the question states, you need to round each number to the nearest whole number and then choose the closest estimate to what the nearest solution could be.

When you round the two numbers you should come up with "3-1= ____".

This is because you round up with a number has .5 or higher, and you round down when any number has .4 or lower.

So 3.2 rounds to 3

And 1.4 rounds to 1.

With the new equation you can then solve "3-1= 2"!

Hope this helps!

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\textsf{2y = 24}}\\\\\large\text{DIVIDE 2 to BOTH SIDES}\\\\\large\boxed{\mathsf{\dfrac{2y}{2}=\dfrac{24}{2}}}\\\\\large\text{CANCEL out: }\rm{\dfrac{2}{2}}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{24}{2}}\large\text{ because it gives you the answer of the y-value.}\\\\\large\boxed{\mathsf{12= \dfrac{24}{2}}}\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{y = 12}}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{a = 12}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

a=2.55

b=0.576

c=912.87

f=2.295

Step-by-step explanation:

=15/100*17

=2.55

=17/100*15

=2.55

=1.2/100*48

=0.576

=12/100*480

=57.6

=147/100*621

=912.87

=125/100*549

=686.25

=80/100*2.55

=2.04

=40/100*2a

=40/100*(2*2.55)

=0.4*(5.1)

=2.04

=36/100*2.5(2.55)

=0.36*6.375

=2.295

=1.5/100*80(2.55)

=0.015*(204)

=3.06

Answer:

Step-by-step explanation:

8p < -3

  if p = -2

8* -2 < -3

  -16 < -3 TRUE so p= -2 is a solution to the inequality 8p < -3

Answer:

8m-16 =16

8m=16+16

8m =32

m=32/8

m=4

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE AN AWESOME DAY

Answer:

1.5 OR 3/2

Step-by-step explanation:

Slope (m) = ΔY/ΔX= 3/2=1.5

θ = arctan(ΔY/Δx)= 56.30993247402°

ΔX = 3 – 1 = 2

ΔY = 0 – -3 = 3

Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464

Equation of the line:

y = 1.5x – 4.5

or

y=3/2x-9/2

Thus, 3/2

Answer:

Step-by-step explanation:

Use the coordinates of two points on the graph:

Find the slope using slope formula:

m=3-1/3+2=2/5

Equation of line in point slope. form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x-(-2))[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x+2)[/tex]

[tex]\\ \sf\longmapsto 5y-5=2x+4[/tex]

[tex]\\ \sf\longmapsto 2x-5y+9=0[/tex]

The equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

The slope of a line is defined as the angle of the line.

Given that line passes through the points (-2, 1) and (3, 3)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -2, y₁ = 1

x₂ = 3, y₂ = 3

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 1 = (3 - 1)/(3-(-2))[x -(-2)]

⇒ y - 1 = (2)/(5)[x+2]

⇒ y - 1 = 2/5(x -3)

⇒ y = (2/5)x - 6/5 + 1

⇒ y = (2/5)x - 1/5

Therefore, the equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

Learn more about the Lines here:

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Answer:

1) x = 14.14

2) 2

Step-by-step explanation:

1) sin(45°) = x/20

sin(45°) · 20 = x

x = 14.14

2) Since PST are double the size of PQR it would just be a scale factor of 2

Answer: B

Step-by-step explanation: Hope this helps :)

=============================

[tex]\large\bold{Equation:}[/tex]

[tex]\large\bold{Solution:}[/tex]

Let's solve for f

[tex]\large\sf{F(4p + 3) = 8 - 5(4p + 3)}[/tex]

1st step: Factor out variable f

2nd step: Divide both sides by 4p+3

[tex]\large\bold{Answer:}[/tex]

===================================

How is it? Hope you appreciate and understand my answer. Have a great and nice day ahead!!

^^

Answer:

the slope is

2/3x+2

Hope This Helps!!!