Find the value of x. Write your anser in simplest form

Answer:

Around 10.6 years

Step-by-step explanation:

5.75% of 4500 is 258.75

then we will need to subtract the current amount from the final amount.

10000-4500=5500

next

5500/258.75=21.256

finally

21.256/2=10.628

The person leaves the money in the bank until it reaches 10000 dollars.

We have given that

A person invests 4500 dollars in a bank.

The bank pays 5.75% interest compounded semi-annually.

Therefore we have,

The principal of a loan or investment at the beginning of the compounding period, in this case, every six months, includes the total interest from each previous period

5.75% of 4500 is 258.75

[tex]=\frac{5.75}{100}\times 4500\\ =258.75[/tex]

Then we will need to subtract the current amount from the final amount.

10000-4500=5500

5500/258.75=21.256

21.256/2=10.628

The person leaves the money in the bank until it reaches 10000 dollars.

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Answer:

A. Y=2x+3

Step-by-step explanation:

because im right

If a function is defined by the equation y = 2x−32, the equation that defines the inverse of this function would be: B. y=2x+32

To determine the inverse of the function, we would first replace x with y in the function:

y = 2x - 32

x = 2y - 32

x + 32 = 2y

Divide both sides by 2

x/2 + 32/2 = y

f−1(x) = x/2 + 32/2

The common facot between the denominatoes of the values is 2. So, when expanded, we have;

(x + 32)/2

So, the closest option that represents the inverse is B. y=2x+32.

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Answer:

The first one

Step-by-step explanation:

You can't repeat coords on the x or y coordinate, meaning that the one to the left is wrong because it is the only one that repeats

Answer:

First table

Step-by-step explanation:

How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain(x) is matched with exactly one element in the range(y). If so, you have a function!

Let's try it on the first table; Lucky us! we found it! the value 1 and 2 repeat more than once connecting with with two DIFFERENT y values!

Answer:

  5 km/h

Step-by-step explanation:

Speed is the ratio of distance to time. Hannah's speed is ...

  s = d/t

  s = (10 km)/(2 h) = 5 km/h

Her average speed was 5 km per hour.

Answer:

see below

Step-by-step explanation:

-t/4=-3

Multiply each side by -4

-t/4 *-4=-3*-4

t = 12

Check

-12/4 = -3

-3 = -3

Answer:

100

Step-by-step explanation:

if 25% is 20, 20*4=80

80+20=100

Answer:25 and 55

Step-by-step explanation:

if you double 25 you get 50 add five and you get 55.

55+25=80

Answer:

A

Step-by-step explanation:

do the exponents. (5 times 5)

then multiply 2 x 25

Answer:

the answer is A. 2 * 5^2

Step-by-step explanation:

Because 5^2 really means 5 * 5 which is 25 * 2 is 50

Hope this helps

Answer:

C (5.1 + 2y + 1.2 = -2 + 2y + 8.3)

Answer:

x = 145 degrees

Step-by-step explanation:

In leftmost triangle, missing angle :

= 180 - (90 + 35)

= 55 degrees

Top angle of middle triangle :

= 180 - (60 + 55)

= 180 - 115

= 65 degrees

Bottom angle of middle triangle :

= 180 - (90 + 65)

= 25 degrees

Linear pair

= 180 - 25

=> x = 145 degrees

Answer:

The answer is C

Step-by-step explanation:

Answer:

(3, 4) works, but there are other correct answers.

Step-by-step explanation:

We are given 2 vertices of a right triangle.

There is an infinite number of points that can be the third vertex and form a right triangle. There is not enough information to answer with a unique point.

One answer is point (3, 4) making <A the right angle of the triangle.

Given:

The equation is

[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{4}{10}=\dfrac{2}{5}[/tex]

To find:

Whether the given equation is true or not.

Solution:

In addition of two fractions, we can not add numerator and denominator separately. First we need a common denominator, then we add numerators.

We have,

[tex]\dfrac{1}{2}+\dfrac{3}{8}[/tex]

Taking LCM, we get

[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{1\times 4+3}{8}[/tex]

[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{4+3}{8}[/tex]

[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{7}{8}\neq \dfrac{4}{10}[/tex]

So, the given equation is not true.

Therefore, the correct option is B.

Answer:

x should equal 2

Step-by-step explanation:

5x2=10

10-3=7

Answer:

[tex]x=-4,\:x=-5[/tex]

Step-by-step explanation:

[tex]x^2+9x+20=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}x^2+9x+20:\quad \left(x+4\right)\left(x+5\right)\\\\\left(x+4\right)\left(x+5\right)=0\\\\Using\:the\:Zero\:Factor\:Principle:\\\quad\:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\\\\\mathrm{Solve\:}\:x+4=0:\quad x=-4\\\\\mathrm{Solve\:}\:x+5=0:\quad x=-5\\\\x=-4,\:x=-5[/tex]

Answer:

Factored form: (x+4)(x+5) = 0

x = -5 or -4

Step-by-step explanation:

To factor x^2 + 9x + 20, we need to find 2 numbers that multiply to 20 and add up to 9.

The reason for that is because when you multiply (x+a)(x+b) using FOIL, you will get x^2 + ax + bx + ab.

Anyway, 4 and 5 would satisfy this, because 4+5 = 9 and 4*5 = 20. We can then factor the equation to (x+4)(x+5).

To solve (x+4)(x+5) = 0, we need to make either x+4 = 0 or x+5 = 0. That means x can be either -5 or -4.

Answer:

a = 5q/(r + m)

Step-by-step explanation:

ra = 5q - ma

ra + ma = 5q

a(r + m) = 5q

a = 5q/(r + m)

Please mark me the brainliest!?!

Answer:

area= 452.39

circumference= 75.40

Step-by-step explanation:

circumference is equal to 2 * pi * r

area is equal to pi * r^2

circumference = 2 * pi * 12 = 75.40

area = pi * 12^2 = 452.39

hope this helps!

Answer:

180°

Step-by-step explanation:

The given information are;

The of the object = 180°

Therefore, a line drawn though the a point on the preimage passing through the center of rotation

A second line is drawn from the center of rotation, towards the direction of the expected location of the image of the chosen point on the preimage which should in this case be 180° and the distance from the location of the point on the image to the given center of rotation should be the same as the distance of the point of the preimage from the given center of rotation.

Answer:90

Step-by-step explanation:

did it

Answer:

6/h = 10/40

Step-by-step explanation:

Answer:

6/h = 10/40

Step-by-step explanation:

b x h = w

10=b

6=h

so its 6/h and 10/40

i think

Answer:

$37.50

Step-by-step explanation:

The answer is $37.50

Answer:

[tex]\boxed{2\cos^2\theta}[/tex]

Step-by-step explanation:

[tex]\cot^2\theta \sin^2\theta+\cos^2\theta[/tex]

[tex]\dfrac{1}{\tan^2 \theta} \sin^2\theta+\cos^2\theta[/tex]

[tex]\dfrac{1}{\dfrac{\sin^2\theta}{\cos^2\theta} } \sin^2\theta+\cos^2\theta[/tex]

[tex]\dfrac{\cos^2\theta}{\sin^2\theta } \sin^2\theta+\cos^2\theta[/tex]

[tex]\cos^2\theta+\cos^2\theta[/tex]

[tex]2\cos^2\theta[/tex]

Answer: Rectangle and square

Step-by-step explanation:

Answer:

7.2

Step-by-step explanation:

Answer:

45.

Divide 48 by 100 (48/100*)

Then, multiply by the given percentage, 5.8%

→ The formula to find percentage is to divide the found number by 100 and then multiply by the closest given number.

Therefore,the [tex]2.61[/tex] is the [tex]5.8[/tex] % of the number [tex]45.[/tex]

What is the percentage?

A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".

As per the given information

Let the number is [tex]x[/tex].

[tex]\frac{2.61}{x}=\frac{5.8}{100}\\\\\\2.61(100)=5.8(x)\\\\\\261=5.8x\\\\\\x=\frac{261}{5.8}\\\\\\x=45[/tex]

Hence, the [tex]2.61[/tex] is the [tex]5.8[/tex] % of the number [tex]45.[/tex]

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Answer:

Not happy with it! :)

Step-by-step explanation:

I dont get the point. its a pain to change the time on the clock and i hate getting up early!! Not a early lol

Have an amazing day!!

PLEASE RATE!

The scale factor is the ratio of the second triangle length to the first triangle length. Then the scale factor is 8.

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

Two triangles have corresponding side lengths of 8 centimeters and 64 centimeters.

Then the scale factor will be

[tex]\rm Scale \ factor = \dfrac{Side \ of \ second \ triangle }{Side \ of \ first \ triangle } \\\\\\Scale \ factor = \dfrac{64}{8}\\\\\\Scale \ factor = 8[/tex]

The scale factor is 8.

More about the dilation link is given below.

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Answer:

The answer is 8:)

Step-by-step explanation:

The percentage of the chocolate she has not eaten is 86.4%

Mass not eaten = Total mass of chocolate - Mass eaten

= 220 - 30

= 190g

Percentage not eaten = 190/220 × 100

= 0.86363636363636 × 100

= 86.3636363636363%

Approximately,

86.4%

Learn more about percentage:

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Answer:

[tex]\frac 13[/tex]

Step-by-step explanation:

All three shows she likes are Hamilton, Aladdin, and Thriller.

But she can watch only two shows among the three shown.

The possible combination of the shows she can watch are

(Hamilton and Aladdin), (Aladdin and Thriller) and (Hamilton and Thriller).

So, the total number of possible events (available options)= 3.

As we have to determine the probability of watching Aladdin and Thriller, so here Aladdin and Thriller is the favorable event.

So, the number of favorable event=1

Now,

[tex]\text{Probability}=\frac{\text{Total number of possible events}}{\text{Total number of favorable events}}[/tex]

[tex]=\frac{1}{3}[/tex]

Hence, the probability that she sees Aladdin and Thriller is [tex]\frac 1 3[/tex].