Laura invested $24,000 into a simple interest account. If at the end of 54 months Laura has $27,780 in her account, what was the interest rate? (Round to the nearest hundredth, if necessary)

Answer:

by inscribed angle rule do it.

Step-by-step explanation:

hope this help

Answer:

70°

Step-by-step explanation:

∠ADC is a inscribed angle. ∠ABC is a central angle. The inscribed angle's measurement will be 1/2 of the measurement of the central angle.

In this case, the inscribed angle ∠ADC is given to you with a measurement of 35°. To solve for ∠ABC, multiply 2 to the given value:

35 x 2 = 70

70° is your answer.

~

Answer:

1895

Step-by-step explanation:

Answer:

6/12, 4/8

Step-by-step explanation:

100 people

6x4= 24

100-24= 76

76÷4= 19

19+4=23

lmk if I'm wrong

Answer:

top=170mm squared

shape 2=76.27 cm squared

shape 3=62.862 cm squared

Step-by-step explanation:

top shape...

(18x15)-4(5x5)=area

270-4(25)=area

270-100=area

170=area

shape 2...

diameter of circle is 6 so radius is 3...

area=pier^2

a=28.27 and their are two half circles so that makes one whole circle

(8x6)+28.27=76.27 cm squared

shape 3...

total of rectangle with a half circle subtracted.  r=4 d=8

so

11x8=88 for rectangle then subtract half circle

a=pie r^2

a=50.27

50.27/2=25.135 subtract this from rectangle total...

88-25.135=62.862 cm squared

this is the answer I believe

Answer:

Step-by-step explanation:

The sequence you gave is not arithmetic.  I'm assuming the sequence is

21, 6, -9, -24.

d is the common difference between adjacent terms.

a₂ = a₁ + d

6 = 21 + d

d = -15

nth term = a₁ + (n-1)d = 21 - (n-1)15

Answer:

200

Step-by-step explanation:

Length*Width*Hight= 4*10*5=200

hope this helps

Answer:  I am pretty sure it is 200

Step-by-step explanation:

I may be wrong sorry if it is have a good day :)

Answer:

12897 square feet

Step-by-step explanation:

So first find the area of the square:  

85 * 85 = 7225

Then, the two semi circles together is a full circle. Use the circle area formula,

A = πr^2

The radius (r) would be half the diameter of the circle. The diameter of the circle would be 85. So half of that is 42.5. The radius is 42.5

Now:

A = π(42.5)^2

A = 3.14(42.5)^2

A = 3.14(1806.25)

A = 5671.625

Lastly, add the two areas up for the square and circle:

7225 + 5671.625 = 12896.625

Round to nearest tenth: 12897

Answer:

your answer will be P=27

Step-by-step explanation:

hope it helps...

Answer:

Fraction : 3/9

Decimal : 0.33333333 (the .3 continues)

Percent : 33.33333%

Step-by-step explanation:

Dividing 3 by 9 will give you a continous set of 3.

Answer:

Step-by-step explanation:

To find:-

Answer:-

We are here given that the value of,

[tex]\longrightarrow \cos\theta=\dfrac{3}{\sqrt{22}} \\[/tex]

And we know that cosine is the ratio of base and hypotenuse. Therefore,

[tex]\longrightarrow \cos\theta =\dfrac{b}{h} \\[/tex]

So we can also say that,

[tex]\longrightarrow \cos\theta = \dfrac{b}{h}=\dfrac{3}{\sqrt{22}}\\[/tex]

Let us take the given ratio to be 3x:√22x . Now we may find out the value of perpendicular using Pythagoras theorem . The Pythagoras theorem is ,

Pythagoras theorem:-

Mathematically,

[tex]\longrightarrow \boxed{ \boldsymbol{p^2+b^2=h^2}} \\[/tex]

where the symbols have their usual meaning.

On substituting the respective values, we have;

[tex]\longrightarrow p^2+(3x)^2=(\sqrt{22}x)^2 \\[/tex]

[tex]\longrightarrow p^2 = 22x^2-9x^2\\[/tex]

[tex]\longrightarrow p^2=13x^2 \\[/tex]

[tex]\longrightarrow \boldsymbol{ p = \sqrt{13}x} \\[/tex]

Now again , we know that, tangent is defined as the ratio of perpendicular and base. Therefore,

[tex]\longrightarrow \tan\theta = \dfrac{p}{b} \\[/tex]

[tex]\longrightarrow \tan\theta = \dfrac{\sqrt{13}x}{3x}\\[/tex]

[tex]\longrightarrow \boldsymbol{ \tan\theta = \dfrac{\sqrt{13}}{3}}\\[/tex]

Now we may use a identity which is ,

[tex]\longrightarrow\boxed{ \boldsymbol{ \tan (2x)= \dfrac{2\tan x}{1-\tan^2 x}}}\\[/tex]

On substituting the respective values, we have;

[tex]\longrightarrow \tan2\theta = \dfrac{ 2\tan\theta}{1- \tan^2\theta}\\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{2\bigg(\dfrac{\sqrt{13}}{3}\bigg)}{1-\bigg(\dfrac{\sqrt{13}}{3}\bigg)^2 } \\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{1-\dfrac{13}{9}} \\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{\dfrac{9-13}{9}} \\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{\dfrac{-4}{9}} \\[/tex]

[tex]\longrightarrow \tan2\theta = -\dfrac{2\sqrt{13}\cdot 9}{3\cdot 4 } \\[/tex]

[tex]\longrightarrow \boxed{\boldsymbol{ \tan2\theta = -\dfrac{3\sqrt{13}}{2}}} \\[/tex]

This is the required answer .

D. None of the above

the correct answer is 7,460 as some non native english is the correct answer to the question

Step-by-step explanation:

Number of pork chops Mrs Spina bought =

Number of boxes x number of pork chops per box

= 4x8

= 32

Number of Pork chops to freeze = 32 - 12 (set aside) = 20

Number of packs of pork chops to freeze = Number of pork chops to freeze / pork chops per pack

= 20/4

= 5 packs.

Answer:

IT SHOULD BE 240

Step-by-step explanation:

1) Multiply 20 by 10 for 200

2) Lenght=20 so half is 10

3) multiply 10 by 4 and divide by 2 which gives 20

4) Multiply 20 by 2 because there are 2 rectangles which gives us 40

5) Add 200 and 40 which gives answer of 240

Answer:

200

Step-by-step explanation:

Volume of juice

[tex] = 3.5 \times 6 \times 9 \\ = 189 \\ \approx \: 200 \: {cm}^{3} [/tex]

Answer:

37.5

Step-by-step explanation:

16/46 = 20/(20+x)

or, 16(20+x) = 46×20

or, 320 + 16x = 920

or, 16x = 600

or, x = 600/16

x = 37.5

Answer:

404 adult tickets were sold, and 250 child tickets.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that

x is the number of adult tickets sold.

y is the number of child tickets sold.

654 tickets were sold.

This means that

[tex]x + y = 654[/tex]

[tex]y = 654 - x[/tex]

Admission prices at a football game were $5 for adults and $ 2 for children. The total value of the tickets sold was $2520.

This means that

[tex]5x + 2y = 2520[/tex]

Since [tex]y = 654 - x[/tex]

[tex]5x + 2(654 - x) = 2520[/tex]

[tex]5x + 1308 - 2x = 2520[/tex]

[tex]3x = 1212[/tex]

[tex]x = \frac{1212}{3}[/tex]

[tex]x = 404[/tex]

[tex]y = 654 - x = 654 - 404 = 250[/tex]

404 adult tickets were sold, and 250 child tickets.

Answer:

B) 1/3

Step-by-step explanation:

If n=1 and k=3, then 8^n=2^k is true. Therefore, n/k=1/3.

9514 1404 393

Answer:

  d.  40

Step-by-step explanation:

Consider the square ...

  (px +q)² = (px)² +2(px)(q) +q² = p²x² +2pqx +q²

Comparing this to your expression, you see ...

  16 = p²   ⇒   p = ±4

  25 = q²   ⇒   q = ±5

  -b = 2pq = 2(±4)(±5) = ±40

The expression is a perfect square trinomial when b = 40.

_____

Additional comment

When the linear term has a negative coefficient, we know the signs of the binomial terms are different. We conventionally write the square with the constant term in the binomial being negative:

  16x² -40x +25 = (4x -5)²

Answer:

m = -2

b = 3.5 or (0, 3.5)

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y − 3.5 = −2x

y = -2x + 3.5

    m = -2

    b = 3.5

The slope of given equation is -2 and the y-intercept is 3.5.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The given equation is y-3.5=-2x.

Now, in slope intercept form y=-2x+3.5

The standard form of the slope intercept form is y=mx+c.

Where, m=slope and c=y-intercept

Now, m=-2 and c=3.5

Therefore, the slope of given equation is -2 and the y-intercept is 3.5.

To learn more about the slope intercept form visit:

brainly.com/question/9682526.

#SPJ2

Answer:

18N

Step-by-step explanation:

According to Newtons second law

F ∝ a

F =  ka

k is the constant of proportionality

When a force of 8 N acts on a certain object, the acceleration of the object is 4 m/s2, hence;

8 = 4k

k = 8/4

k = 2

If a = 9m/s², F = ?

Recall F = ka

F = 2 * 9

F = 18N

Hence the force will be 18N

Step-by-step explanation:

Hi,

You will have to move the pre-image 15 units to the right. You're also going to have to flip the image horizontally (kind of like flipping it across the x-axis) and after that, you're going to have to flip it so that it's facing the left side.

1) 15 units right

2) Flip-up

3) Flip to the left

Hope this helps :)

Answer:

I believe answer B.

Answer: Answers are in step by step. please like and give a review.

Step-by-step explanation:

1. An obtuse angle is an angle that is greater than 90 degrees but less than 180 degrees.

2. 5x - 8 = 37 if and only if x = 9.

3. If two angles have the same measure, then they are congruent. If two angles are not congruent, then they do not have the same measure. If two angles do not have the same measure, then they are not congruent.

4. 2x + 5 = 3 , then x = 3

5. With 3 equal sides is a equilateral triangle