You have $475 in your savings account that earns 3.25% simple interest each year. How much interest will you accumulate after 7 years?

Answer:

0.752

Step-by-step explanation:

Answer:

Step-by-step explanation:

The best thing to do for these solution/mixture problems is to make a table:

                          #L           *           %alcohol         =            L alcohol

    10% sol.

+   80% sol.                                                                                            

    55% sol.  

In this way, we can keep track of our information AND figure out the equation we need to use to solve it. Notice first, the equation along the top of the table:

#L * %alcohol = L alcohol  This tells us that we are multiplying the #L column times the %alcohol column to get the L alcohol column. Notice second, that there is a + sign to the far left, indicating that we are ADDING rows 1 and 2 together to get the mix. Let's start filling this in. The easy part is the % alcohol column. 10% alcohol has .10 alcohol as a decimal, likewise for the 80% and 55%:

                          #L             *            %alcohol          =         L alcohol

   10% sol.                                             .10

+  80% sol.                                            .80               =                          

   55% sol.                                            .55

Now to fill in the first column. We know that our unknown, from the problem, is the number of Liters, #L in the 10% solution, so that is x, and we also know that we have 9 L of the 80% alcohol. Filling that in:

                             #L            *             %alcohol           =         L alcohol

  10% sol.                x            *                .10

+ 80% sol.               9           *                 .80                                                

  55%                                                      .55

Now look back at the + sign. We are told that we are mixing the 10% with the 80%, so we are adding them together. So let's do that. We will also follow the rule for the table and multiply the first column times the second column to fill in the last column to complete the table:

                          #L           *             %alcohol            =              L alcohol

   10% sol.           x            *                 .10                  =                 .10x

+  80% sol.          9           *                 .80                  =                  7.2          

  55% sol.      (9 + x)         *                 .55                  =         .55x + 4.95

If we add the 2 solutions together to get the new solution in the first column, we will also add the L alcohol in the last column to get our equation:

.10x + 7.2 = .55x + 4.95 and

- .45x = - 2.25 so

x = 5L

We need 5 Liters of the 10% solution if we want to mix that with 9L of 80% solution to get 14 L of 55% solution.

Answer:

3x-6 Its is B

Step-by-step explanation:

We know that x is an even number. we have 2 even numbers which are consecutive. For example. If x was 6. the 2 before numbers would be 4 and 2. So the formula is x+(x-2)+(x-4). (-4)+(-2)=-6. In total there are 3x. So the answer would be 3x-6. Hope this helped ^^.

Answer:

21cm

Step-by-step explanation:

3+4+4+5+5

I so

Answer:

16 y squared minus x squared

Step-by-step explanation:

The other all expressions except 16y²-x² doesn't complete the square and its difference. Then we can check 16y²-x²,

Now take the expression 16y²-x² and we can try to solve it.

We can simplify the terms separately to associate them as perfect squares,

→ 16y² = (4y)² --- (1)

→ x² = (1x)² --- (2)

Now we can take the difference of eq. (1) and eq. (2),

→ 16y²-x²

→ (4y)²-(1x)² --- (3)

Now eq. (3) shows a difference of squares.

Another representation is,

→ (4y - x) (4y + x)

→ 16y²- x²

→ (4y)²- (1x)²

Therefore, the expression 16y²-x² shows a correct difference of squares.

Answer:

its b trust

Step-by-step explanation:

Answer:

[tex]p=-7[/tex]

Step-by-step explanation:

This is how you find it

1) Substitute the p into the equation to get 7(-7)-7=-56. Then you get -49-7=-56. This is true  

Hope this helps! :)

Answer:

p = - 7

Step-by-step explanation:

7p - 7 = - 56

7p - 7 + 7 = - 56 + 7

7p = - 49

7p ÷ 7 = - 49 ÷ 7

p = - 7

Answer:

Below.

Step-by-step explanation:

Substitute x = 3 into each polynomial and see if the value of the polynomial is zero. If it is zero then x-3 is a factor.

Try number 1:

a(x) = x^3 - 2x^2 - 4x + 3

a(3) = 3^3 - 2(3)^2 - 4(3) + 3

= 27 - 2(9) - 12 + 3

= 27 - 18 - 12 + 3

= 9 - 18 - 9

= 27 - 27

= 0

So a(x) has (x-3) is a factor of a(x)

The other 3 polynomials are solved in the same way.

Step-by-step explanation:

Side measuring formula is 180(n-2). ---[ n= side]

Question: 14-gon

>by using formula 180(14-2)

> 180×12

> 2160÷ 14. --[divided by 14 side in order to find one side's degree]

> 154.28°

Answer:

150 degrees

Step-by-step explanation:

5 + 1 = 6

180 : 6 = 30

30 x 5 = 150

Answer:

Hello,

Step-by-step explanation:

[tex]x\neq 3\\\\\dfrac{x+4}{2} -\dfrac{3}{x-3} =1\\\\\dfrac{(x+4)(x-3)-2*3-2(x-3)}{2(x-3)} =0\\\\x^2+4x-3x-12-6-2x+6=0\\\\x^2-x-12=0\\\\x^2-4x+3x-12=0\\\\x(x-4)+3(x-4)=0\\\\(x-4)(x+3)=0\\\\x=4\ or\ x=-3\\[/tex]

Answer:

8 & 7

Step-by-step explanation:

x*y = 56

x+y = 15

y = 15-x

x(15-x)=56

15x-x^2 = 56

x^2 -15x + 56 = 0

Factored Form:  y= (x-8)(x-7)    

Ans

he range of function g is as under;

b

-3 ,-4

Answer:

B

Step-by-step explanation:

I just took the test.

Answer:

yes because we are leraning new things

Answer:

Step-by-step explanation:

f(x)=(x-1)(x+4

roots x=1,-4,

x=0, y=-4

OAmalOHopeO

Answer:

y = 2·x/3 - 1

Step-by-step explanation:

The endpoints of the longer base of the trapezoid = (-2, -4), and (4, 0)

The point contained on the shorter base = (3, 1)

The slope of the line representing the longer base, m, is given as follows;

m = (0 - (-4))/(4 - (-2)) = 2/3

The slope of the shorter base = The slope of the longer base = m = 2/3

The equation of the line representing the shorter base in point and slope form is therefore;

y - 1 = (2/3)·(x - 3)

∴ y = 2·x/3 - 2 + 1 = 2·x/3 - 1

The equation of the shorter side of the trapezoid is y = 2·x/3 - 1

Answer:

3x + 2 = 59

Step-by-step explanation:

because the total is 59 so is definetly =59

and no of oranges in bag so there are 3 bags it means its 3x so the equation is 3x + 2 = 59

Hope it will help you

Lots of love from nepal <3 :)

Answer:

112

Step-by-step explanation:

qid means 4 times a day. So 2 x 4 is 8. Then multiply that by 14 and you get 112.

112 tablets will be dispensed from the pharmacy such that [tex]XYZ[/tex] medication [tex]250[/tex] mg, [tex]2[/tex] tabs qid for [tex]14[/tex] days.

The unitary method is a process to find the value of multiple units from the value of a single unit.

[tex]2[/tex] tabs qid means [tex](2[/tex] × [tex]4)[/tex] [tex]= 8[/tex] tabs per day will be required as per prescribed medication.

So, in [tex]14[/tex] days, the number of tabs required [tex]= 8[/tex] ×[tex]14 = 112[/tex].

Thus, 112 tablets will be dispensed from the pharmacy.

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Answer:

y represents the amount in the bank account after 7 months.

Step-by-step explanation:

Let karma gets x money on his birthday.

He has 60 in his account initially

He deposits teh same money for the seven months

So, the money he has after the seven months is 7 x + 60  

According to the question,

y =7 x + 60

It shows that the amount after seven months is y.  

Simplify the expression 5(x-3)(x^2+4x+1)

it would be I think answer number 3

Answer:

D

Step-by-step explana

[tex] \sf \: The \: value \: of \: x \: is \: the \: number \: that \: belongs \: to \: the \: solution \: \\ \sf \: set \: of \: the \: equation. \: So \: we \: need \: to \: find \: x.[/tex]

[tex] \sf \: x + 3 = 45 \\ \sf \: x = 45 - 3 \\ \sf \: x = \underline{42}[/tex]

Answer ⟶ [tex]\boxed{\bf{D.42}}[/tex]

Answer:

RW is congruent to WX

Step-by-step explanation:

We know that PW and WV and Angle W is vertical angle so We need to include that RW congruent to WX.

Answer:

Pick at least 4 balls to be sure that you are getting balls with the same color.

Step-by-step explanation:

Here, you want to know the least number of balls to be taken out of the box to be sure that you have all the three colors represented.

You know there are 12 identical balls, with the least numbers of balls being 1 and 2. Hence, to be able to know you have all the colors of balls represented, you will need to have taken all the less represented ones i.e the 1 and 2 , and this means that the next number of ball which would be taken will confidently confirm that you have taken all the colors since you would have exhausted picking other balls at this point.

So you shall be needing at least 4 balls picked to ensure that you have all the colors represented

Answer:

64.5 pieces

Step-by-step explanation:

Since we know how long our sausage is already, we can solve this problem by simply dividing 43 by our fraction which is 2/3 (or 0.6).

43 / 0.6 = 64.5

Answer:

(2,21)

Step-by-step explanation:

y = 10.5x

plug 2 for x  in the equation

y = 10.5(2)

then multiply 2 by 10.5

y=21

Answer:

955 in quinary system = 12310

955 in binary system = 1110111011

Step-by-step explanation:

Quinary system is in base 5, that is, 0,1,2,3,4

955 in quinary system

955 ÷ 5 = 191 remainder 0

191 ÷ 5 = 38 remainder 1

38 ÷ 5 = 7 remainder 3

7 ÷ 5 = 1 remainder 2

1 ÷ 5 = 0 remainder 1

In reverse order of the remainder

= 12310

Binary system = 0,1

955 in binary system

955 ÷ 2 = 477 remainder 1

477 ÷ 2 = 238 remainder 1

238 ÷ 2 = 119 remainder 0

119 ÷ 2 = 59 remainder 1

59 ÷ 2 = 29 remainder 1

29 ÷ 2 = 14 remainder 1

14 ÷ 2= 7 remainder 0

7 ÷ 2 = 3 remainder 1

3 ÷ 2 = 1 remainder 1

1 ÷ 2 = 0 remainder 1

In reverse order of the remainder

1110111011

Work Shown:

A = event that the person has math degree

B = event that the person has a computer science degree

P(A) = 0.23, since 23% of the people have a math degree

P(B) = 0.31, similar reasoning as above, just different number

P(A and B) = 0.07

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.23 + 0.31 - 0.07

P(A or B) = 0.47

The decimal value 0.47 then converts to 47% after moving the decimal 2 spots to the right.

There's a 47% chance that we pick someone who has a math degree or a computer science degree (or both).

It might help to set up a venn diagram to see why that formula above works.

Answer:

Step-by-step explanation:

Domain covers x values only (where range covers y values only). Domains are stated from the absolute lowest x value included on the graph to the highest. Looking at our graph, we have a solid dot at x = -3, and there is no part of the graph that goes to the left of -3. So -3 is the absolute lowest x value on the graph. When you follow the blue graph, you notice that it goes off the graph "paper" and does not have a solid dot at the tail end of it. This means that the graph will go on forever. This implies infinity, which looks like this: ∞

The lowest x value is -3 and the highest is ∞ so there are a couple of ways in which you can state this:

D = {x | -3 ≤ x < ∞} or D = {x ≥ -3} Either one will work

Answer:

The correct answer is a) 12.6 ft

Step-by-step explanation:

I took the test and got it right:)

The branch of mathematics deals with the relations of the sides and angles of triangles and with the relevant functions of any angles. The ladder goes at a height of 12.6082 feet.

The branch of mathematics deals with the relations of the sides and angles of triangles and with the relevant functions of any angles.

Given that the length of the Ladder is 16 feet while the angle between the ladder leaning against the wall is 52°.

Trigonometric Ratios are the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Using Trigonometric Ratios of sin because of opposite over hypotenuse,

sin ∅=perpendicular/hypotenuse

sin(52) = x/16

16sin(52) = x

By calculating,

x = 12.6082 feet

Hence, the ladder goes at a height of 12.6082 feet.

Learn more about Trigonometry here:

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Respuesta:

$ 2552000

450 gramos

Explicación paso a paso:

Dado que :

Precio = $ 2,200,000

Si IVA = 16%

LA CANTIDAD A PAGAR SERÁ:

Precio + IVA

$ 2,200,000 + (16% * $ 2,200,000)

$ 2,200,000 + (0.16 * $ 2,200,000)

$ 2,200,000 + $ 352,000

$ 2552000

2.)

Receta para 4 personas requiere 150 gramos de mantequilla

Receta para 12 personas requerirá x gramos

4x = 150 * 12

4 veces = 1800

x = 1800/4

x = 450 gramos

Answer:

it's D

Step-by-step explanation:

The inequality that represents Dan's purchase is 0.85x + 1.29y < 5.

The correct option is D.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

The cost of x pounds of potatoes at $0.85 per pound is 0.85x dollars.

The cost of y pounds of grapes at $1.29 per pound is 1.29y dollars.

The total cost of the purchase is the sum of these costs, which is:

0.85x + 1.29y

The inequality that represents the total cost being less than $5 is:

0.85x + 1.29y < 5

So, the correct answer is 0.85x + 1.29y < 5.

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