how much will the interest be for a $500 loan at 6% interest for one year

The system of equations x+y=154 and x+4y=10, can be solved by substitution method giving the solution x = 202 and y = -48.

This question is similar to other problems in algebra where you are given a system of equations. In this case, you have the equations x+y=154 and x+4y=10. We will solve this problem using substitution.

First, let's isolate x in the first equation: x = 154 - y.

Next, we will substitute (154-y) for x in the second equation: (154 - y) + 4y = 10. Simplifying this equation, we get 3y = -144, so y = -48.

Substitute back y = -48 into the first equation, we have x + (-48) = 154, which means x = 202.

So, the solution of the system is: x = 202, y = -48.

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The angle of elevation of the sun can be determined using trigonometry by finding the inverse tangent of the ratio of the building height to the shadow length, which is approximately 33.69 degrees.

To find this, we can use trigonometry, specifically the tangent function, which is the ratio of the opposite side over the adjacent side in a right-angled triangle. Here, the building height represents the opposite side, and the shadow length represents the adjacent side.

Using the formula tangent = opposite/adjacent, we have:

Now, we need to find the angle whose tangent is 2/3. By using a calculator or a trigonometry table, we find:

Therefore, the angle of elevation of the sun is approximately 33.69 degrees.

Answer:

15.215 mm

Step-by-step explanation:

7.2+ 2.14 +5.875= 15.215

Answer:

hello your answer would be 15.215 mm

Step-by-step explanation:

Answer:

The $2.85 jar is the better buy.

Step-by-step explanation:

Start by finding the two separate unit rates.  Then compare them:

$2.85

---------- = $0.36/oz

8 oz

$5.65.

----------- = $0.38/oz

15 oz

The $2.85 jar is the better buy, as its unit cost is lower.

Final answer:

The 8-ounce jar of salsa at $0.35625 per ounce is the better buy compared to the 15-ounce jar at $0.37667 per ounce.

Explanation:

The student wants to determine which jar of salsa provides the best value in terms of cost per ounce. To find the unit rate, we need to divide the price of each jar by the number of ounces it contains.

For the 8-ounce jar of salsa:

Unit rate = $2.85 / 8 oz = $0.35625 per ounce

For the 15-ounce jar of salsa:

Unit rate = $5.65 / 15 oz = $0.37667 per ounce

Comparing the unit rates, the 8-ounce jar of salsa has a lower unit rate, making it the better buy.

Answer:

0 is your answer

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Remember to follow PEMDAS.

First, distribute -5 to all terms within the parenthesis

-5(1 + 6n) = (-5)(1) + (-5)(6n) = -5 - 30n

-30n - 5 = 5n - 5

Isolate the variable, n. Subtract 5n and add 5 to both sides

-30n (-5n) - 5 (+5) = 5n (-5n) - 5 (+5)

-30n - 5n = -5 + 5

-35n = 0

Isolate the n, Divide -35 from both sides

(-35n)/-35 = (0)/-35

n = 0

0 is your answer

~

5w - 10 > 20      add 10 to both sides

5w > 30     divide both sides by 5

w > 6

Answer: 7 and 8

Step-by-step explanation:

Answer:

the most accurate answer would be option 3 relatively speaking

Step-by-step explanation:

Answer:

The first option .

Step-by-step explanation:

m must not be zero

Answer:

a) m ≠ 0

Step-by-step explanation:

Given: The function y = mx + b has an inverse function.

The given function is the equation of a line in slope-intercept form.

m is the slope and y-intercept is b.

Given that the function has an inverse function, therefore, the slope must not be equal to zero.

What if the slope is zero, if the slope is zero, then there will not be an inverse function.

Therefore, the answer is m≠ 0.

Answer:

11

Step-by-step explanation:

3/2 y - 3 + 5/3 z

We know the values for y (y=6) and z( z=3), so we can substitute them into the expression

3/2 * (6) - 3 + 5/3 * (3)

Multiply the terms

18/2 - 3 + 15/3

Simplify the fractions

9 - 3 + 5

Simplfiy

6 + 5

11

Answer:

I am pretty sure it is all but trapezoid.

Step-by-step explanation:

Answer:

B. Trapezoid

Step-by-step explanation:

We have been given image of a quadrilateral. We are asked to classify our given quadrilateral.

Let us check our given choices one by one.

A. Parallelogram.

We can see that our given quadrilateral is square as its all sides are equal and perpendicular to each other.

Since sides of square are parallel to each other and opposite sides has equal measure, therefore, it is a parallelogram.

B. Trapezoid

We know that a trapezoid has one pair of parallel sides.

Since square has two pair of parallel sides, therefore, our given quadrilateral is not a trapezoid.

C. Rhombus

We know that each square is a rhombus, therefore, our given quadrilateral is a rhombus as well.

D. Square.

Our given quadrilateral is square as its all sides are equal and perpendicular to each other. Therefore, option D is correct as well.

Answer:

y=0.25 please mark brainliest i worked very hard to figure this out.

Step-by-step explanation:

3 1/7=22/7

22/7/6/5=132/35

1.32=132/100

132/100/132/35=1.4y=35/100

35/100*14/10=0.25

hence, y=0.25

Answer: 6x7=n

Step-by-step explanation:

Answer:

A jeweler orders necklaces from a website that offers $6 shipping for any-size order. Each necklace costs $7. The jeweler wants to know the total cost of ordering n necklaces.

What is the independent (input) variable?

✔ n, the number of necklaces

What is the dependent (output) variable?

✔ c, the total cost (in dollars)

What is the domain?  

✔ n=0, 1, 2, 3,...

Which equation expresses the order’s total cost, c, as a function of the number of necklaces, n?

✔ c(n)=7n + 6

Which expression means “the total cost, including shipping, of 5 necklaces”?

✔ c(5)

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

A) 1st Row = 31 seats

    2nd row = 37 seats

     3rd row = 37+6 = 43 seats

     4th row = 43+6 = 49 seats

      5th row = 49+6 = 55 seats

B) The formula for finding the number of seats in any row number is:

Number of seats in nth row = 31 + (n-1) *6

C)  To find the row with 103 seats,  set the equation in B to equal 103 and solve for n:

103 = 31 + (n-1)*6

Subtract 31 from each side:

72 = (n-1)*6

Divide both sides by 6:

12 = n-1

add 1 to each side:

n = 13

The 13th row has 103 seats.

Answer:

10 is your answer

Step-by-step explanation:

Note that the side given to us has a measurement of 5 for one of the legs of the isosceles.

This means that the 1 side on the 30-60-90 triangle has a measurement of 5.

Now, note the measurements of the triangle sides for a 30-60-90 triangle. They measure at: 1 , √3 , 2.

the side 1 is given to us, at 5. You are solving for the hypothenuse (2). Multiply 2 to the side 1

5 * 2 = 10

10 is your answer

~

Answer:

C  it has the largest rate of change

Step-by-step explanation:

To find the greatest rate of change, we need the largest slope

In equation form y =mx +b where y is the slope

A. 6x – 7y = 21

    Solve for y

 Subtract 6x from each side

-7y = -6x+21

Divide by -7

y = 6/7x + 21/7

The slope is 6/7

B. y = 2x – 2

The slope is 2

C. x  2 3  4

   y  7      13      19

slope = (y2-y1)/(x2-x1)

       = (19-7)/(4-2)

        = 12/2

        =6

D. A linear function that goes through point 1, 2 and point 0, negative 1

 (1,2)  (0,-1)

slope = (y2-y1)/(x2-x1)

       = (-1-2)/(0-1)

        = -3/-1

        =3

Answer:

Since it is a right angle, you know that the angle measures 90 degrees. Since one acute angle measures 5x (times) the other, you would set it up in equation format as 5x + x = 90.

5x + x = 6x, so

6x = 90

you divide both both sides by 6 (90/6) = 15

To find the measure of the angle that is 5x (times) the other, you do 5(15) = 75 degrees and the other angle is 15 degrees, which adds up to 90 degrees.

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Answer:

y≤-8

Step-by-step explanation:

This sign represent y is no more than/is less than or equal to.

I hope this helps!=)

The number y is no more than -8 written as an inequality can be written as; y ≤ 8.

According to the question;

The inequality form of the sentence, mean that the number y can only assume maximum value of -8.

Therefore; y ≤ 8

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Answer:

Product of powers; power of a power; negative exponent

Step-by-step explanation:

Answer:

A triangle can have at most angles totalling 180 degrees.

Two angles 85 + 128 total 213 degrees so the triangle cannot exist.

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

The sum of the three angles in a triangle adds up to 180 degrees.  We know two of the angles, 85 and 128.  We are looking for the third, x.

x + 85+128 = 180

Add the like terms

x +213 = 180

This is an impossible problem

x would have to be negative

Answer:

x = -7

Step-by-step explanation:

-3 (5x - 2) - x - 2 = 116

-15x + 6 - x - 2 = 116

-16x + 4 = 116

-16x + 4 - 4 = 116 - 4

-16x = 112

-x = 7

x = -7

Please mark brainiest would help alot :3

Answer:

Number 5: Answer B

Number 6: Answer B

Step-by-step explanation:

5) The percent of decrease from 57 to 19 is:B. 66.7%

6) The percent of markup is: D. 35%

6) To find the percent of decrease from 57 to 19, we can use the formula:

percent decrease = (original value - new value) / original value x 100%

Substituting the given values, we get:

percent decrease = (57 - 19) / 57 x 100%

percent decrease = 38 / 57 x 100%

percent decrease = 0.6667 x 100%

percent decrease = 66.7%

Therefore, the percent of decrease from 57 to 19 is 66.7%. The answer is option B.

6) To find the percent of markup, we can use the formula:

percent markup = (selling price - cost) / cost x 100%

Substituting the given values, we get:

percent markup = (184.70 - 136.50) / 136.50 x 100%

percent markup = 48.20 / 136.50 x 100%

percent markup = 0.353 x 100%

percent markup = 35.3%

Therefore, the percent of markup is 35%. The answer is option D.

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Answer:

-5.25, -3.5, -1.75, 0, 1.75

Step-by-step explanation:

I think it would be x+y=3

Hope this helps

Answer:

[tex]\frac{n^4}{4}[/tex]

or

[tex]\frac{1}{4} n^4[/tex]

Step-by-step explanation:

The given expression is

[tex]\frac{1}{4n^{-4}}[/tex]

This is an exponential expression with a negative index in the denominator.

We can rewrite the expression so that it will be,

[tex]=\frac{1}{4}\times \frac{1}{n^{-4}}[/tex]

We now apply this property of indices. A negative index in the denominator becomes a positive index in the numerator.

[tex]\frac{1}{a^{-m}} =a^{m}[/tex]

When we apply this we get,

[tex]=\frac{1}{4}\times n^{4}[/tex]

We then simplify to obtain,

[tex]=\frac{1}{4}n^{4}[/tex]

Final answer:

To rewrite an expression without a negative exponent, take the reciprocal of the base with the positive exponent. Division of exponentials requires dividing coefficients and subtracting exponents of the same base. Eliminate negative exponents and simplify the expression to get the final result.

Explanation:

To rewrite an expression without a negative exponent, you simply take the reciprocal of the base and use the positive exponent. For example, seeking to rewrite x-n, you would transform it into 1/xn, moving the base x to the denominator and making the exponent positive.

Division of exponentials involves simplifying expressions by dividing the coefficients and subtracting exponents when the bases are the same. For instance, for expressions like am / an, the result would be am-n. In case there are numerical coefficients in front, divide those numbers directly. After simplifying, always check whether the answer makes sense and is in the simplest form.

Working with negative exponents, it's crucial to eliminate terms that result in a more straightforward expression and confirm that no negative exponents remain in the final answer, ensuring it is in its acceptable form.

Answer:

using hunreds 300

using tens 20

using ones 6

300+20+6= 326

Step-by-step explanation:

All you got to do is break them apart into the places.

Plzzz mark brainlest and thank me

Answer:

Step-by-step explanation:

H

[tex]6x^2+3x+1=0\\a=6,b=3,c=1\\(-b+-\sqrt{b^2-4ac} )/2a\\\\\frac{-3+-\sqrt{-15} }{12} \\\\[/tex]

The roots are:

[tex]\frac{-3+-i\sqrt{15} }{12}[/tex]