If you take out a loan for $4,000 and you will owe $4,920 after 2 years, what is the rate of simple interest? Express your answer as a percentage rounded to the nearest tenth of a percent if necessary, but do not include the percent sign.

Answer:

The probability is 0.017429

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)/SD/√n

In this case;

x = 273

mean = 276

SD = √(variance) = √81 = 9

n = 40

Substituting these values into the z-score formula, we have that;

z = (273-276)/9/√40

z = -2.11

So we proceed to get the probability

the probability in this case is;

P( z < -2.11)

We can use the normal distribution table for this

Our answer will be

P( z < -2.11) = 0.017429

Answer:

X/12

Step-by-step explanation:

X - whole drywall

X/4 -quarters

X/4/3=X/12 fraction of a whole sheet is each of these small pieces

Answer:

4th one

Step-by-step explanation:

In geometry, a unit cube is a cube  whose each side is 1 unit long.

Answer:

4TH ONE

Step-by-step explanation:

Answer:

2.25 lbs

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

9/2 = 4.5

4.5/2 = 2.25

Answer:

x=4

Step-by-step explanation:

4(5x+2)=14x+32

20x+8 = 14x+32

20x-14x+8=14x-14x +32 (Both side +14x)

6x+8=32 (cancel 14x -14x)

6x+8-8=32 -8(both side -8)

6x=24 (both side divide 6)

6x/6=24/6

x=4

Answer:

34x+34

Step-by-step

20x+2=14x+32

20x+14x=2+32

34x+2+32

2+32=34

34x=34

Answer:

x>-1

Step-by-step explanation:

Answer:

i think it is b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Plz mark brainliest

Answer:

wouldnt it be d

Step-by-step explanation:

Answer:

[tex]a=\sqrt{33}[/tex]

Step-by-step explanation:

When we solve for this we should always remember this formula [tex]a^2+b^2=c^2[/tex] and since we already know b and c we can plug that in to find out what a could be but we won't actually solve it.

[tex]a^2+b^2=c^2\\a^2+4^2=7^2\\a^2+16=49\\a^2=33\\\sqrt{a^2}=\sqrt{33}\\a=\sqrt{33}[/tex]

So a would equal whatever the square root of 33 is.

Answer:

25

Step-by-step explanation:

a^2+b^2=c^2

24^2+7^2=c^2

576+49=625

then square

25=c

Answer:

x = 2

Step-by-step explanation:

7(3x + 5) - x = 75

1. Distributive property

multiply 7 by whatever is in the parenthesis

7*3x + 7*5 - x = 75

21x + 35 - x = 75

2. Combine like terms

21x - x = 20x

20x + 35 = 75

3. Subtract 35 on both sides

20x + 35 - 35 = 75 - 35

20x = 40

4. Divide both sides by 20 since u want to isolate the variable

20x/20 = 40/20

x = 2

And thats ur answer

Hope this helped!

The value of x is 20.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

Sin 30 = 10 / x ______(10

We know that,

Sin 30 = 1/2 _____(2)

So,

Substituting (2) in (1).

1/2 = 10/x

x = 10 x 2

x = 20

Thus,

The value of x is 20.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ7

Answer:

3x16+8x8

Step-by-step explanation:

3 lots of 16  

+

8 lots of 8

Answer:

I know that 1 and 3 are correct.

Step-by-step explanation:

3x16+8x8

There are 8 childrens tickets, which each cost 8 dollars so you multiply those.

There are three adult tickets, which each cost 16 dollars so you multiply those and then you add the two products together.

3x16+8²

8 squared is just 8x8.

There are three adult tickets, which each cost 16 dollars so you multiply those and then you add the two products together.

Answer:

5) we get a=6

6) we get c=8

Step-by-step explanation:

The triangles given are similar.

When the triangles are similar, the ratio of corresponding sides are also similar.

5) If c = 12, find a

We will use the ratio

[tex]\frac{30}{12}=\frac{15}{a}[/tex]

Now cross multiply to find value of a

[tex]30*a=12*15\\a=\frac{180}{30}\\a=6\\[/tex]

So, we get a=6

6. If b = 6.4, find c

We will use the ratio

[tex]\frac{30}{c}=\frac{24}{6.4}[/tex]

Now cross multiply to find value of b

[tex]30*6.4=24*c\\c=\frac{192}{24}\\c=8\\[/tex]

So, we get c=8

Answer:

there are different intrest rates, depending on where it is. but im choosing 8400

Step-by-step explanation:

Answer:

1/3 for a.

2/3 for b.

[character limit pass]

Answer:

The numbers are 1/10 & 11/10

Answer:

yes means yes

Step-by-step explanation:

Answer:

h(x) = [tex](x+5)^{2}[/tex] -18

Step-by-step explanation:

-b/2a is the formula to find the vertex's x coordinate.

-10/2(1) = -5 and "(x+5)" represents a translation to the left 5 units, so that must be the answer

Answer:

[tex]\mathrm{Best\:course\:grade\:possible:\:}87.25\%,\\\mathrm{Minimum\:score\:on\:final\:to\:earn\:at\:least\:a\:75\%\:for\:the\:course:\:}51\%[/tex]

Step-by-step explanation:

Assuming the maximum score for the final is [tex]100\%[/tex], we can multiply each score by its respective course weight and add them together to give a final score. If your friend did receive this maximum score of [tex]100\%[/tex], their overall grade for the course would be:

[tex]83(1-0.25)+100(0.25)=\fbox{$87.25\%$}[/tex].

To find the minimum score they need to earn a 75% for the course, we set up the following equation:

[tex]83(1-0.25)+x(0.25)=75[/tex], where [tex]x[/tex] is the minimum score she needs.

Solving, we get:

[tex]62.25+x(0.25)=75,\\x(0.25)=12.75,\\x=\fbox{$51\%$}[/tex].

Answer:

24% yes yes yes

Answer:

24% or [tex]\frac{6}{25}[/tex]=24%

Step-by-step explanation:

We know that

[tex]\frac{6}{25}[/tex]

Is the same as

6÷25

Then, using long division gives us

0.24

Lastly, multiplying 0.24 by 100 gives us

24

Now add the percent sign

24%

Answer:1 black 4 white

Step-by-step explanation:

It must be 2:3 so you have to change the current ratio from black to white(7:8) to 2:3

So the first number has to be the closets multiple of 2(8) and you have to divide 8 by 2 to get 4 and multiply that by 3 to get the ratio 8:12 which is equivalent to 2:3

Answer:

Area of triangle = 20 square yards

Step-by-step explanation:

The height of triangle = 5 yd

The base of triangle = 8 yd

We need to find area of triangle.

The formula used is: [tex]Area\: of\: triangle=\frac{1}{2}\times base \times height[/tex]

Putting values and finding area

[tex]Area\: of\: triangle=\frac{1}{2}\times base \times height\\Area\: of\: triangle=\frac{1}{2}\times 8 \times 5\\Area\: of\: triangle=4 \times 5\\Area\: of\: triangle=20\:square\:yards[/tex]

So, Area of triangle = 20 square yards

Answer: -m^4

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

-1 x -1 x -1 = 1

Answer:

x = 4

Step-by-step explanation:

The inner and outer triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{x}{5}[/tex] = [tex]\frac{8}{10}[/tex] ( cross- multiply )

10x = 40 ( divide both sides by 10 )

x = 4

Answer:

D) y = 4x + 2

Step-by-step explanation:

Explanation:-

Given ( 0, 2) ( -1 , -2 )

Given in equalities     y = 4x + 2

    put point  (0,2)  in equation y = 4x +2

                                                 2 = 4(0) +2

                                                2 = 2

Therefore satisfies the point (0,2) equation   y = 4x +2

 put point  (-1,-2)  in equation y = 4x +2

                                               -2 = 4(-1)+2

                                              -2  = -2

Therefore satisfies the point (-1,-2) equation   y = 4x +2

Answer:

C

Step-by-step explanation:

Answer:

gave no examples.. this is what I got

Step-by-step explanation:

Answer:

f(11) = 9

Step-by-step explanation:

f(x) = 1/4(5-x)^2

f(x) = 1/4 (5-11) ^2

f(11) = 1.25 - 2.75 ^2

f(11) = 9

Answer:

38 yards

Step-by-step explanation:

All you have to do is add up all that yardsgained and subtract the yards lost:

32-7+15-2=38

Answer:

38

Step-by-step explanation:

32-7=25

25+15=40

40-2=38

Answer:

the answer would be A

Step-by-step explanation:

Answer:

A. 1,876 tissue holders

Step-by-step explanation:

Answer:

I think it´s 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

because 15% (or 0.15) times 80 equals 12.