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Marshall has $700 in an account that earns 13% interest compounded annually. At the end of one year Marshall will have the sum of $791.

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest.

then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

The principal amount (P)= $700

The interest rate(R) = 13%

The period of investment (T) = 1 year

Simple interest

= P×T×R/100

= 700×T×13/100

= 9100/100

= $91

Therefore, the total amount she will receive at the end of a year

= 700 + 91

= $791

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The inches of wooden stick required to outline the perimeter of the banner in order to attach the interior material is 42 inches.

The perimeter of a triangle is the sum of the whole three sides.

Therefore, the perimeter of the triangle can be found by adding the whole sides of the triangle.

The remaining sides of the triangle can be found using Pythagoras theorem.

c² = a² + b²

where

Therefore,

a² = 13² - 5²

a² = 169 - 25

a = √144

a = 12 inches

Therefore,

b² = 15² - 12²

b² = 225 - 144

b = √81

b = 9 inches

Therefore,

perimeter = 13 + 15 + 5 + 9 = 42 inches

Therefore, the inches of wooden stick required to outline the perimeter of the banner in order to attach the interior material is 42 inches.

learn more on perimeter here: https://brainly.com/question/16096915

Answer:

-x²+9x+13

Step-by-step explanation:

if your question is (-6x²+5)-(-5x²-9x-8)

-(-a-b)=(a+b)

=-6x²+5+5x²+9x+8

=-6x²+5x²+9x+5+8

=-6x²+5x²+9x+13

Then the answer is -x²+9x+13

Answer:

base is root66 ft and height is 4root66 ft

Step-by-step explanation:

see the picture for full solution

Answer:4x^2 π

Step-by-step explanation:

Well to solve the area of a circle with diameter with 4x, you need to find the radius which is half the diameter so 4x / 2 = 2x. Then you subsitute that into πr^2 which is 2x^2 π = 4x^2π.I don't have any solution for your second question... sorry...

Hewo!

The answer to your first question: 4x^2 π

To your second..

First, im really sorry about your loss.. it will get better i promise.

But, i would suggest letting it all out. I know its hard right now, so let it out.Get a notebook and keep track of your feelings.. get better soon Lilo..

-Nat

Answer:

D please mark brainliest

Step-by-step explanation:

Answer:

The answer to your question is D(-6, -3)

Step-by-step explanation:

Answer: a= 24 , B is 13

Step-by-step explanation:

A + B = 37

A = B +21

Answer:

i think its (2 x 2^2) (3x3^2)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

answer:

213.176 units^2

explanation:
1) find the height

10.8^2+h^2=22.5^2
h^2=389.61

h=19.7

2) use formula to find area

A=1/2bh

A=1/2(21.6)(19.7)

A=213.176

--

if this helped, please consider giving brainliest !

Using proportions, it is found that 420 students in the school would be expected to say their favorite class is Reading or Math.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, out of 90 students, 20 + 40 = 60 students prefer reading or math. How many do out of 630? Thus, the rule of three is given by:

60 prefer reading of math - 90 students.

n prefer reading of math - 630 students.

Applying cross multiplication:

90n = 630 x 60

n = 630 x 60/90

n = 7 x 60

n = 420

420 students in the school would be expected to say their favorite class is Reading or Math.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

Step-by-step explanation:

FV = PV ( 1 + i)^n       i = decimal interest per period(year)   n = periods(years)

                   FV = future value   PV = present value (deposit or loan amount)

FV = 4500 ( 1 + .05)^2

FV = 4500(1.05)^2 = 4961.25    subtract the orginal deposit  which means 461.25 interest paid at 2 yrs

Answer:

-36

Step-by-step explanation:

6^2+(y-x)

=>                 6^2+[-77 - (-5)]

=>                 6^2+[-77+5]

=>                 6^2+(-72)

=>                 36+(-72)                            [6^2 = 36]

=>                 -36

can you mark me brainliest?

Hello-

6² + (y - x) is our equation. And wonder of wonders, our x and y values are given! What a beautiful thing, having both given to us.

x = -5

y = -77

Let's plug our given values into our equation for x and y. Like so-

6² + (y - x) becomes 6² + (-77 - (-5))

In math, we must do whatever operations are contained within parentheses first and foremost. So we must subtract -5 from -77. That, by the way, equals -72.

6² + -72

Now we do our exponents, or powers.

6² = 36

36 + -72

Now we do the easiest part - adding.

32 + -72 = -36

So the answer to this problem (if I've done my algebra correctly) is -36.

Hope this helps.

Answer:

Area of cube = 6l²

= 6×2²

= 24 ft²

2 feet.

how many square feet of wood he used to build the box.

each side measures 2ft.

A=L²=(2 ft)²=4 ft²

A cube has 6 sides so the total quantity of wood is:

Wood=6×A

=6×4 ft²

=24 ft²

he used 24 ft² of wood to build the box.

first slide:

a. not statistical

b. statistical

c. statistical

second slide:

a. yes

b.no

c. yes

d. no

third slide (drop-down question)

a. statistical

b. vary

fourth slide:

the last question, how many miles does each member of the biking club...

Answer:

[tex]equation \: of \: a \: line \\ y - y1 = m(x - x1) \\ y - ( - 1) = \frac{5}{2}(x - ( - 2)) \\ 2(y + 1 )= 5(x + 2) \\ 2y + 2 = 5x + 10 \\ 2y - 5x - 8 = 0[/tex]

Answer:

8x+7

Explanation:

f(x) = x + 3

g(x) = 7x + 4

==========

Put values

Done!

Answer:

32 cm^3

Step-by-step explanation:

Hope it will help you

Answer:

32 cm^3

Step-by-step explanation:

V = L x W x H

V = 2 x 2 x 8

V = 4 x 8

V = 32

The answer would be 32cm^3

I hope it helps! Have a great day!

Your Murderer~

Answer:

Step-by-step explanation:

Given :-

To Find :-

Solution :-

We know that,

Substituting the values, we get:

↠ Perimeter = 2(9 + 7)

↠ Perimeter = 2(16)

↠ Perimeter = 32 feet

Now,

Substituting the values, we get:

↠ Area = 9 × 7

↠ Area = 56 ft²

Hence,

Answer:

The circumference of a circle with diameter 4 is 12.57.

m=y2-y1/x2-z1

=-1--3/1-3

=2/-2

=-1

Answer:

-1

Explanation:

I am going to apply the slope formula to solve this problem:

[tex]\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\sf{m=\dfrac{-1-(-3)}{1-3}}\\\sf{m=\dfrac{-1+3}{-2}}\\\sf{\dfrac{2}{-2}}\\\\\sf{-1}[/tex]

Hence, the slope is -1.

_____________________________________________________

[tex]4+2\times (-4)+8\times (-1)[/tex]

_____________________________________________________

[tex]4-2\times 4+8\times (-1)[/tex]

[tex]4-2\times 4-8[/tex]

______________________________________________________

[tex]4-8-8[/tex]

______________________________________________________

[tex]-4-8[/tex]

[tex]-12[/tex]

I hope this helps you

:)

Answer:

254.34 m²

Step-by-step explanation:

The formula used to find the area of a circle is π · r².
The radius of a circle is half of it's diameter.
Using the given values, we can solve:

3.14 · 9²

3.14 · 81

= 254.34 m²

hope this helps!

Answer:

Area = 254.469004940773 m²

Step-by-step explanation:

formula : (area of a circle)

Area = π × r²

where r is the radius of the circle

[tex]\large \text r = \frac{\large \text Diameter \ of \ the \ circle }{2} = \frac{18}{2} =9\ m[/tex]

then

Area = π × 9²

        = π × 81

        = 254.469004940773 m²

Answer:

OPTION C

Step-by-step explanation:

This function is odd function because it is symmetric about the origin

Note:This graph also represents the graph of tanx

I hope it helped you

Answer:

Step-by-step explanation:

Answer:

96 pizza slices

Step-by-step explanation:

Make a chart if 1 slice = 1.25, 20 pizza slices will cost 25.00, 50 will cost 62.50. An easy way you coud do it would be divided 120 by 1.25. When yu divided it it will give you 96. So, 96 slices will cost 120.00.

The margin of error of the 90% confidence interval will be 0.024 and it increases when there's a higher confidence interval.

The margin of error of the 99% confidence interval will be:

= 1.645 × [✓0.36(1 - 0.36)/1006

= 0.024

The margin of error for a 99% confidence interval will be calculated thus:

= 2.576 × [✓0.36(1 - 0.36)/1006

= 0.03898

This implies that margin error increases when there's a higher confidence interval.

Learn more about confidence interval on:

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20 units²

[tex]Becanse\ simple\ form:[/tex]

[tex]S=(4+6)\times4\times\frac{1}{2}[/tex]

  [tex]=10\times 2\\ =20\ units\ ^2[/tex]

[tex]algorithm\ rule)[/tex]

I hope this helps you

:)

The area of the shape is 20 square units.

An open, flat object with four straight sides and one set of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.

Given that a shape is in trapezoid form.

The dimensions of the parallel sides are 4 and 6 units.

And a perpendicular side is 4 units.

The formula for the area of a trapezoid is:

Area = (1/2) × (sum of parallel sides) × (perpendicular distance between them)

In this case, the parallel sides have lengths 4 and 6 units, and the perpendicular distance between them is 4 units.

Substituting these values into the formula, we get:

Area = (1/2) × (4 + 6) × 4

Area = (1/2) × 10 × 4

Area = 20 square units

Therefore, the area of the trapezoid is 20 square units.

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Answer:

(x2 – x1)2 + (y2 – y12))d = √((5 – 0)2 + (2 – 0)2d = √(25 + 4) = √(29) ≈ 5.385aa

Step-by-step explanation: