Alexa opens a savings account with a starting balance of $10,000. She will not make any additional deposits or withdrawals. The account earns 5% simple interest. What is the total amount that Alexa will have in her account at the end of 4 years?

Answer:

[tex] \displaystyle\boxed{\rm \: Distance= \underline{\underline{\sqrt{13}}}} [/tex]

OR in Decimal,

[tex] \boxed{\rm \: Distance=\underline{\underline{3.605}}}[/tex]

Step-by-step explanation:

Given:

Two points, that is (5,3) & (8,5)

To Find:

The Distance of the two given points

Solution:

To Find the distance between two points, we will use the distance formula, i.e. :

[tex] \boxed{ \rm \: Distance = \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} } }[/tex]

According to the Question,

[tex] \rightarrow \: \rm \: x_2 = 8[/tex]

[tex]\rightarrow \: \rm \: x_1 = 5[/tex]

[tex]\rightarrow \: \rm \: y_2 = 5[/tex]

[tex]\rightarrow \: \rm \: y_1 = 3[/tex]

Now Substitute the values on the formula of Distance and then Simplify:

[tex] \rm \: Distance= \sqrt{(8 - 5 )^{2} + (5 - 3) {}^{2} } [/tex]

[Follow PEMDAS rule while simplifying]

[tex] \rm \: Distance= \sqrt{3 {}^{2} + 2 {}^{2} } [/tex]

[tex] \rm \: Distance= \sqrt{(3 \times 3) + (2 \times 2)} [/tex]

[tex] \rm \: Distance= \sqrt{9 + 4} [/tex]

[tex] \rm \: Distance= \sqrt{13} [/tex]

[tex] \rm \: Distance= {3.605} [/tex]

Hence, the distance between the two given points would be [tex]\sqrt{13}[/tex] or [tex] 3.605 [/tex].

[tex] \rule{225pt}{2pt}[/tex]

I hope this helps!

Have a good day! :)

[Desmos Graph solution is attached]

Step-by-step explanation:

perimeter of a sector =r+r+angle/360×2πr

12+12+(40/360×2×22/7×12)

24+8.378

32.378cm

Answer:

-6

Step-by-step explanation:

4.8(x)+1.2(y)=2.4

9.6 + 1.2y = 2.4

subtract 9.6 from both sides

1.2y = - 7.2

divide by 1.2 on both sides

y = -6

I think this is your question right????

Answer:

(2,-2)

Step-by-step explanation:

Adding 3 to the graph shifts everything towards the positive y direction by 3 unites. The new minimum will mantain the same x coordinate, and has its y raised by 3, thus is [tex](2; -5+3) = (2;-2)[/tex]

Answer:

89.8 inches

Step-by-step explanation:

Answer:

NO enough information

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It's x is greater than or equal to 4

Answer:

30 hours of work

Step-by-step explanation:

Ok if Mr. White  works 10 hours he gets 250$
250+250=500$
10 + ㅤ10 = 20 hours
500+250=750
20ㅤ+ 10 = 30

so this means he will have to work 30 to get 750$

Answer:

30 hours

Step-by-step explanation:

If 10 hours = $250

Than you can divide 750/250 and you’ll get 3. Multiply 3 by 10 ( 3 • 10 ) and you’ll get 30 hours.

I hope it helps! Have a great day!

Muffin ^^

Answer:

[tex]3x { }^{2} + 16x + 21[/tex]

Step-by-step explanation:

[tex]3x \times x = 3x {?}^{2} [/tex]

[tex](3x \times 3 = 9x) + (7 \times x = 7x)[/tex]

[tex]7 \times 3 = 21[/tex]

FOIL method.

Divide the lengths to find the scale :

35/7 = 5

Now divide the width by the scale to get the scaled width:

30/5 = 6 inches

the scaled drawing is 7 x 6

area of scaled drawing = 7 x 6 = 42 square inches

Answer:

hope this helps you◉‿◉◉‿◉

Answer:

Height of the boy is 1.4 m and casts a shadow of 1.2 m

At the same time, a building casts a shadow of 5.4 m and suppose height of the building is x m

Then ratio of their heights and shadows are in proportion

⟹1.4x=1.25.4

⟹x=1.21.4×5.4

⟹x=6.3

Hence, height of the building is 6.3 m.

~Shoto Todoroki here~

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8-Figures represents eight digits and a 8-figure salary will fall between $10,000,000 – $99,999,999. People who are earning this amount of income are typically multi-millionaires and would be considered quite wealthy.

its some one make 8 million dollars a year i think or more

Answer:

2x - y - 5z

Step-by-step explanation:

Given

-[z - 3y - (3x - z - 2y) + 3z + 2y] - x =

Distribute the subtraction into the ()

-[z - 3y -3x + z + 2y + 3z + 2y] - x =

Move the terms around, keeping the sign with the term

-[z + z + 3z - 3y + 2y + 2y - 3x] - x =

Combine like terms

-[2z + 3z - 3y + 2y + 2y - 3x] - x =

-[5z - 3y + 2y + 2y - 3x] - x =

-[5z - y + 2y - 3x] - x =

-[5z + y - 3x] - x =

Distribute the subtraction into the []

-5z - y + 3x - x =

Combine like terms

- 5z - y + 2x

Reorder:

2x - y - 5z

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Check the picture below.

now, when it comes to limits, we're not concerned if the value of the function is the same as the limit at that location, we're only concerned on to where is the function approaching, now it may not get there, but that is where it's approaching or seem to be approaching.

in this case, the piece-wise function has a hole when x = 3, meaning f(x) ≠ 3 when x = 3, however if we look at the progress from say 6, 5.9, 5.5, 5.1, 4.9, 4.8, 4.1, 3.7, 3.000001, it seems to be approaching 3, thus that is its limit.

Answer:

Step-by-step explanation:

[tex]\sqrt{82}=9.06[/tex]

10² ÷ 5 *√82 - π*2 = 100÷ 5 *9.06 - 3.14*2

                              = 20 *9.06 - 3.14*2

                              = 181.2 - 6.28

                              = 174.92

or

10² ÷5 *√82 - π*2 = 100÷5 *√82 - 2π

                             = 20√82-2π

Answer:

[tex]10^2 \div 5 \times \sqrt{82} - \pi \times 2[/tex]

Using order of operations, we need to carry out the exponents first:

[tex]10^2=10 \times 10=100[/tex]

[tex]\implies 100 \div 5 \times \sqrt{82} - \pi \times 2[/tex]

Then we need to carry out multiplication and division (it doesn't matter in which order):

[tex]\implies 100 \div 5 \times \sqrt{82} - \pi \times 2[/tex]

[tex]\implies 20\times \sqrt{82} - 2\pi[/tex]

[tex]\implies 20\sqrt{82} - 2\pi[/tex]

Unless you have been given an approximation for pi, it cannot be simplified any further.

[tex]20\sqrt{82} - 2\pi=1.748245175...[/tex]

Answer:

Step-by-step explanation:

First thing you do is find the difference between the years recorded. So from 2008 to 2010 is two years. Second you find the difference between the populations which is 51,336 then divide it by two and you get the average growth in the population of 25,668

Answer:

35

Step-by-step explanation:

8 plus 6 equal 14 and power of 2 of 14 is 140 divided by 4 =35

Answer:

B

Step-by-step explanation:

2√12 = √4 x 3 = 4√3 = (4√3 x 3√5)

            √36 = 6 = (6 x √30)

4√3 x 3√5 = 12√15

6 x √30 =  6√30

12√15  x √30      180√2

÷                      =

6√30 x √30       180

-----------

180√2

÷

180

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

= √2 or 1.41

I hope this helps!

The solution set of the given quadratic equation using factorization will be {-3,11}

Given equation is

[tex]x^{2} -8x-33 = 0[/tex]

The polynomial equation whose highest degree is two is called a quadratic equation. The equation denoted by ax² + bx + c = 0, where a is non-zero.

Let us calculate the roots by factorization

[tex]x^{2} -11x+3x-33=0[/tex]

[tex]x(x-11)+3(x-11)=0[/tex]

[tex](x-11) (x+3)=0[/tex]

[tex]x-11=0\\x=11\\x+3=0\\x=-3[/tex]

Hence, the solution set of the given quadratic equation will be {-3,11}

To get more about quadratic equation visit:

https://brainly.com/question/1214333

Answer:

A

Step-by-step explanation:

Answer:

s=24

Step-by-step explanation:

Answer:

15 students

Step-by-step explanation:

The fraction of students who will repeat the exam is:

[tex]1-\frac{6}{9}[/tex]

=[tex]\frac{9}{9} -\frac{6}{9} =\frac{3}{9}[/tex]

simplified is:

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

Extract this fraction of 45:

[tex]45(\frac{1}{3} )=\frac{45}{3} =15[/tex]

Hope this helps

Answer:

(B) 16.7 kg

Step-by-step explanation:

First, start by converting everything to kilograms (using unit converters):

[tex]250g(\frac{10^{-3}kg}{1g})=250*10^{-3}kg=0.25kg[/tex]

Then, add all the weights together:

[tex]100kg+0.25kg+150kg+0.25g=250kg+0.5kg=250.5kg[/tex]

Now, divide this number by 15 (since they are packed in 15 bags):

[tex]\frac{250.5kg}{15}=16.7 kg[/tex]

(B) 16.7 kg

Answer:

Yes .The Pythagorean equation is true.

Step-by-step explanation:

yes, they can, because of the equation below :

a² = b² + c²

40² = 32² + 24²

1600 = 1024 + 576

1600 = 1600 ✓

Answer:

167.4$

Step-by-step explanation:

Because in 4 days he is making 223.20$ so he is makeig 55.8$ a day so instead of 4 days it's 3 what is 55.8 x 3=167.4

Hope this helps have a awesome afternoon:)

here i create a question and give you your points back since no one answerd this queston sry that i didnt i didnt know the answer

Answer:

um ok I did not quite get the question and what ur trying to ask

Step-by-step explanation:

1. the fraction of students on Sam's class are girls are 5/10

2.1/5 of the girls wear galsses

Answer:

we are not timed im in the assignment so do  jnot lie

Step-by-step explanation: