Jesse worked at the pool all summer and saved $500. Her parents want her to put the money into a bank account, where she would earn 2% simple interest monthly on her principal deposit of $500.


How much will she make in interest?

Answer:

10 1/4

Step-by-step explanation:

= 11/2 + 4  3/4

= 11/2  + 19/4

= 41/4

=10 1/4

Step-by-step explanation:

[tex] \bf \underline{Solution-} \\ [/tex]

We have to simplify the given expression.

[tex] \rm = \dfrac{ {x}^{a + b} \cdot {x}^{b + c} \cdot {x}^{c + a} }{ {x}^{a} \cdot {x}^{b} \cdot {x}^{c} } [/tex]

We know that:

[tex] \rm \longmapsto {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]

[tex] \rm \longmapsto \dfrac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} [/tex]

Therefore, we get:

[tex] \rm = \dfrac{ {x}^{(a + b) + (b + c) + (c + a)}}{ {x}^{a + b + c} } [/tex]

[tex] \rm = \dfrac{ {x}^{2(a + b+ c)}}{ {x}^{a + b + c} } [/tex]

[tex] \rm = {x}^{2(a + b+ c) - (a + b + c)}[/tex]

[tex] \rm = {x}^{a + b + c}[/tex]

The statement (A) Electrons can have a measured radius. and statement (D) Electrons do not have energy, the energy is determined by the orbit are correct.

In the Bohr atomic model, electrons are grouped according to their energy levels. The energy level at which an electron is located determines its energy.

As we know,

The aspects covered by Bohr’s atomic model are:

Energy is absorbed by electrons as they transition from a lower to a higher energy state. The electron emits energy when it transitions from a higher to a lower energy level. Visible light is one way to view this energy.

Thus, the statement (A) Electrons can have a measured radius. and statement (D) Electrons do not have energy, the energy is determined by the orbit are correct.

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Answer: Electrons do not have energy, the energy is determined by the orbit." or A and b

Step-by-step explanation: The correct answer is, "Electrons do not have energy, the energy is determined by the orbit."

In the Bohr model of the atom, electrons are arranged in energy levels. The energy of an electron is determined by the energy level in which it is found.

When electron an the  electron moves from a lower to a higher energy level it absorbs energy. When the electron moves from a higher to a lower energy level, it radiates energy. This energy is observed in the form of visible light.

Thus, in the Bohr's model, electrons are arranged in energy levels. The energy level where an electron is found determines its energy.

Answer:

√108 − 2 √300

6v√3 − 20√3

Answer:

$1200

Step-by-step explanation:

Let cost of 1 square foot be x

So, Cost of 450 square feet =  450x

We are given that A 450-square-foot apartment in New York City cost $540,000.

So, 450x = 540000

x= [tex]\frac{540000}{450}[/tex]

x= 1200

Cost of 1 square foot = $1200

Hence the price per square foot is  $1200

Answer:

$25

Step-by-step explanation:

500*0.05=25

Answer:

$25 because 100 is half of 500

Answer:

x=(-36)

Step-by-step explanation:

Answer:

x = -36.

Step-by-step explanation:

-1/3x-21/4=27/4

-1/3x = 27/4 + 21/4

-1/3x = 48/4 = 12

x = 12* -3

x = -36.

Answer:

1 9/16

Step-by-step explanation:

F(1/4) means u plug in 1/4 for x

so the equation would be

f(1/4)=1/4^2+2 1/4 + 1

f(1/4)=1/16+1/2+1

f(1/4)= 9/16 +1

f(1/4)= 1 9/16

its not nine teen its one and 9 over 16 just clarification

Answer:

242$ in grocery store and 210$ in nursery

Step-by-step explanation:

Step-by-step explanation:5 times 2=10 but 6 times 2=12 not 15 so 5/6 is proportional to 10/12 not 10/15

Answer: x^2+27x+180

Step-by-step explanation: can  i pls have brainliest i need it for my goal

Answer:

Step 1: Calculate

We calculate the square root of 23 to be:

√23 = 4.79583152331272

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

4.79

Step 3: Round

Round 4.79 so you only have one digit after the decimal point to get the answer:

4.8

To check that the answer is correct, use your calculator to confirm that 4.82 is about 23.

The negative square root of 23 to the nearest tenth will lie between 4 and 5 on the number line and more closer to 5.

Number which are formed by multiplying a number with itself once are called perfect square numbers.

Now the given number is,

negative square root of 23

Thus we have, [tex]-\sqrt{23}[/tex]

So the value of [tex]-\sqrt{23}[/tex]  is -4.79

To round to the nearest tenth, so the digit at the tenth place is 7 and digit at right of 7 is 9 which is greater than 5 so roundup the digit.

Thus we get,
[tex]-\sqrt{23}[/tex] = 4.8

Thus, this point will lie between 4 and 5 and more closer to 5.

Thus, the negative square root of 23 to the nearest tenth will lie between 4 and 5 on the number line and more closer to 5.

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Answer:

20

Step-by-step explanation:

63 - 43 = 20

Answer:

20 students

Step-by-step explanation:

because 43+s=63

63-43=20

s=20

so it have 20 students on the playground

Answer:

15 cups

Step-by-step explanation:

2:3

10:?

2x5:3x5

10:15

Answer/Step-by-step explanation:

To find the absolute difference, we simply have to see by how much pounds the estimation was off.

The real measure was 152 pounds, the estimated weight was 150.

D = 152- 150 = 2 pounds.

For the percent of error, we divide the absolute difference (52) by the real value () and we'll get the % of error.  So,

%D = 52 / 152 = 0.0034, so 0.34%  

Explanation:

We have a set of x values such that (x-1)(x-2) = 0. Breaking that down leads to either x-1 = 0 or x-2 = 0 through the zero product property. Solving each of those equations gets us x = 1 and x = 2 as the two items in this set.

So the original set your teacher gave you turns into the roster form {1,2}. There are two items in this set and we can see it's a finite set since it does not go on forever. Note that everything in this set is a natural number.

Answer:

Your answer is the third one or the yellow one.

Step-by-step explanation:

Hope this helps!

Answer:

48

Step-by-step explanation:

80x40%=80x.4=32 boys. 80 students-32 boys = 48 girls

The square root of 74 rounded to the nearest tenth is gotten as; 8.6

We want to find the square root of 74.

This square root of 74 is expressed as;

√74

Now, the value of that square root is;

√74 = 8.6023

Now, we want to approximate to the nearest tenth and thus we will have the approximation as; 8.6

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Answer:

The number is 22

Step-by-step explanation:

let x = the number

[tex] \frac{1}{2} x + x - 8 = 25 \\ \frac{1}{2} x + x - 8 + 8 = 25 + 8 \\ \frac{1}{2} x + x = 33 \\ factor \: out\: x \: on \: the \: left \\ x( \frac{1}{2} + 1) = 33 \\ divide \: both \: sides \: by \: \frac{1}{2} + 1 \\ \frac{x( \frac{1}{2} + 1) }{ \frac{1}{2} + 1} = \frac{33}{ \frac{1}{2} + 1} \\ x = \frac{33}{ \frac{3}{2} } \\ x = \frac{66}{3} \\ x = 22[/tex]

let's factor out x from the left hand sid

Answer:

38

Step-by-step explanation:

f ( x ) = 3 x − 7

g ( x ) = 3 x + 9

f(g(2))

First find g(2)

g(2) = 3(2)+9 = 6+9 = 15

Then find f(15)

f(15) = 3*15 -7 = 45 -7 =38

Answer: f(x) = 1.19x, where f(x) is the total cost, and x is the cost per bottle

Cost of 15 bottles: $17.85

Step-by-step explanation:

This question describes a straightforward relation between cost per bottle, and cost for all the bottles.  As such, simply equate one variable to the value of one bottle, and f(x) as the value of every bottle.

Hope it helps :) and let me know if you want me to elaborate.

P.S. f(x) can simply be substituted for "y"

Let

no of bottles be x

.The function is given by

[tex]\\ \sf\longmapsto f(x)=1.19x[/tex]

Now

Cost:-

[tex]\\ \sf\longmapsto f(15)[/tex]

[tex]\\ \sf\longmapsto 1.19(15)[/tex]

[tex]\\ \sf\longmapsto 17.89[/tex]

Answer:

The correct answer would be "$66.85".

i hope  i helped :)

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

N equals 12, so

4 + 12 = 16

Answer:

4 + n = 16

Step-by-step explanation:

n = 12 so 4 + 12 is 16

Answer:

The answer is 83°

Step-by-step explanation:

by the sum of iner and outer angle=180°

180-126= 54°

x=180-43+54

x=180-97

x=83°

hope that helped.?<3

Answer:

19

Step-by-step explanation:

19 x 2 = 38

Twice a quantity usually indicates to take two of the things in question; usually this indicates to multiply by 2. Thus "twice a number x" can be written symbolically as 2x. If this is part of a problem, say twice a number x is 6, then we can rewrite algebraically as 2x=6; dividing both sides by 2 yields x=3.

Answer:

b = 0

Step-by-step explanation:

4b + 6 = 2 - b + 4

4b + b = 2 + 4 - 6

5b = 6 - 6

5b = 0

b = 0 / 5

b = 0

Answer:

The answer is B.

Step-by-step explanation:

b=0