Solve the interest and the amount to pay back on the following simple interest loan: $ 2,500 at 11% for 2 years.

Answer:

40,000

Step-by-step explanation:

I took the test

There are 40,000 possible codes that start with the prime number could Genvieve create.

For the first digit, Genevieve wants to start with a prime number.

The prime numbers between 0 and 9 are 2, 3, 5, and 7.

So, there are 4 choices for the first digit.

For the remaining four digits, she can choose any number from 0 through 9, including the prime numbers.

Since there are 10 choices for each of the four remaining digits, the total number of possible codes for those digits is 10⁴.

To calculate the total number of possible codes that start with a prime number, we multiply the number of choices for the first digit (4) by the number of choices for the remaining four digits (10⁴):

4 × 10⁴ = 40,000

Therefore, the correct answer is A) 40,000.

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Answer:

We need 45 cups on onion

Step-by-step explanation:

green pepper : onion: tomato: total

1                          5              7        13

We have 117 total so divide by 13

117/13 = 9

Multiply each number by 9

green pepper : onion: tomato: total

1*9                        5*9        7*9        13*9

9                            45         63           117

We need 45 cups on onion

Step-by-step explanation:

We could easily solve this by factoring.

Given eqn:

[tex]\rm{4x ^{2} + 10x + 4 = 0}[/tex]

Solution:

Factor left side:

[tex] = > 2(2x + 1)(x + 2) = 0[/tex]

Write the factors to 0 to get our solution:

[tex] = > 2x + 1 = 0[/tex]

[tex] = > \boxed{ x = - \cfrac{1}{2} }[/tex]

or else,

[tex] = > x + 2 = 0[/tex]

[tex] = > \boxed{ x = - 2}[/tex]

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

Hey there!

3 * 10^2

= 3 * 10 * 10

= 3 * 100

= 300

AND

12 * 10^4

= 12 * 10 * 10 * 10 * 10

= 12 * 100 * 100

= 12 * 10,000

= 120,000

SIMPLIFYING the ANSWER

120,000 - 300

= 119,700

≈ 100,000

Therefore, your answer should be:

100,000

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Take 2 points

#a

Find slope

#b

Find equation y inetercept is our answer

b=635

#c

So

Answer:

  50.8°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between side lengths and trig functions for a right triangle. Here, you are given the short side and the hypotenuse, and asked for the largest acute angle.

__

The short side is adjacent to the largest acute angle, so the relevant relation is ...

  Cos = Adjacent/Hypotenuse

  cos(β) = (2√6)/(2√15) = √0.4

The angle measure is found using the inverse cosine function:

  β = arccos(√0.4) ≈ 50.8°

The larger acute angle is about 50.8°.

Answer:

1: 22cm   2: 30m 3: 78.54

Step-by-step explanation:

1: (6x2)+(5x2)

     12+10

         22

2:  11+4=15

   15x2

      30

3:  25/2=12.5

      3.14x2=6.28

12.5x6.28=78.54

Answer:

1364.26 mm^2

Step-by-step explanation:

If this is correct: side length a =

30

side length b =

10

side length c =

24

prism height h =

18

then the answer would be 1364.26 mm^2

Answer: As an inequality —> -5 < w < 1

Answer:

K^1= (-8,10)

L^1 = (-4,10)

m^1 =(-5,10)

Step-by-step explanation:

all you have to do is move the points 90 degrees counterclockwise, which then you would get the points above.

Quadratic formula – is the method that is used most often for solving a quadratic equation. If you are using factoring or the quadratic formula, make sure that the equation is in standard form.

There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.

Answer:

181104

Step-by-step explanation:

2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 x 11 = 181104

Answer:

181104

Step-by-step explanation:

2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 x 11 = 181104

The margin of error for the interval (200 miles, 250 miles) is 25 miles.

An equation is an expression that shows the relationship between two or more variables and number.

The confidence interval = mean (m) ± margin of error (e) = m ± e

Hence:

m + e = 250    (1)

m - e = 200    (2)

From the both equations:

m = 225, e = 25

The margin of error for the interval (200 miles, 250 miles) is 25 miles.

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Answer:

That's all

Step-by-step explanation:

1-We find 5% of 200

2-Cross multiply

3-add 5% of 200 to the original price

Using translation concepts, it is found that the equation for function g(x) is given by:

[tex]y = -\frac{2}{3}|x|[/tex]

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

f(x) = |x|.

Researching the problem on the internet, function g(x) was reflected over the x-axis, and compressed by a factor of 2/3, hence it is multiplied by -2/3(negative due to the reflection), and the equation for function g(x) is given by:

[tex]y = -\frac{2}{3}|x|[/tex]

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Answer:

D. Graph D

Step-by-step explanation:

First, off me know that that equation is in slope-intercept form.

Therefore, your y-intercept is (0,1)

Then you need to find the slope by using two points on a graph and using the y2-y1/x2-x1 equation.

Now you need to pay attention to the sigh. It's [tex]\leq[/tex].

That means it is greater than or equal to ur y-intercept, it must be shaded do the side of numbers greater to 1 (ur y-intercept.)

Giving you D.

The number of ways you can choose 5 beach towels from a selection of 8 to bring on vacation is a combination problem

Permutation has to do with arrangement while combination has to do with selection.

When choosing an object from other pool of object, we will have what is called combination.

From the given question, we are told that the number of ways you can choose 5 beach towels from a selection of 8 to bring on vacation, since they are selecting, hence the situation involves combination.

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Answer:

9.97 meters

Step-by-step explanation:

The silo is one leg of a right triangle    the other leg is the distance from the silo

for a right triangle    tan = opposite side / adjacent side

                                 tan(14) = height/40

                                40 tan 14 = height = 9.97 m

The equation we can use to find the surface area of the cylinder is: 2π(4)(16 + 4).

Surface area of a cylinder = 2πr(h + r), where h is the height and r is the radius of the cylinder.

Given the following:

Equation to find the surface area of the cylinder = 2π(4)(16 + 4)

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Use the attachment (It has a full explanation and answer).

Answer:

See below

Step-by-step explanation:

b) 200 ft = -16 (t-2)^2  + 400

      200 / 16 = (t-2)^2

           sqrt (12.5 ) = t-2

              2 + sqrt (12.5)  = t  

The three expressions that the given expression is equivalent to are, (5x^2-8)(5x^2+8), [tex]25x^4 + 40x - 40x - 64[/tex] and [tex]25x^4 + 13x - 13x - 64[/tex]

The standard expression for difference of two square is given as:

a^2- b^2 = (a-b)(a+b)

Given the equation

[tex]25x^4 -64[/tex]

This can also be expressed as:

[tex](5x^2)^2-8^2\\(5x^2-8)(5x^2+8)[/tex]

This expression is also equivalent to [tex]25x^4 + 40x - 40x - 64[/tex] and [tex]25x^4 + 13x - 13x - 64[/tex]

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Answer:

Step-by-step explanation:

[tex]-11 \frac{2}{3} x -4\frac{1}{5} =[/tex]

First we change the mix number fractions into a improper fraction

[tex]\frac{-11*3+2 }{3} x- \frac{4*5+1}{5} =[/tex]

[tex]\frac{-33+2}{3} x- \frac{20+1}{5} =[/tex]

[tex]\frac{-31}{3}x - \frac{21}{5} =[/tex]

Give both fractions the common denominator 15 and subtract the fractions

[tex]\frac{-31x*5}{15} - \frac{21*3}{15}=[/tex]

[tex]\frac{-155x -63}{15}[/tex]

Answer:

D. 4

Step-by-step explanation:

x is greater than 3, which means x has to be a higher number. the only option here that is higher than 3 is 4.

Answer:

D

Step-by-step explanation:

the Awnser is D because x is greater than three and 4 is the only number listed that is larger than 3

Answer:

67 degrees

Step-by-step explanation:

Calculator!

Answer:

$7500

Step-by-step explanation:

Let investment in 5% bond be x

(18000 - x) * 12% - x * 5% = 885

18000*12 - 12x - 5x = 88500

216000 - 88500 = 17x

x = 7500