explanation on linear equations ​

Interest (I) = Principal (P) X Rate (R) X Time (T)

They tend to use 'Exact Interest' in which Interest calculated using a 365-day year. Time that counts exact number of days in the month that the borrower has the loan

Hope this helps :)

Answer:

Interest (I) = Principal (P) X Rate (R) X Time (T)

Hope this helps you:)

5INGH

Step-by-step explanation:

Answer:

15 inches

Step-by-step explanation:

Suppose length of original square is L inches.

Now, to form a new square the length increases by 2.5 inches

So, new length=L+2.5 inches

Given that, perimeter of new square =70 inches.

Formula:-

        Perimeter=4*length of square

Therefore 70=4*(L+2.5)

                   70 =4 L+10

                   4 L=60

                  L=15 inches

Answer:

The original length of each side was 15 inches.

Step-by-step explanation:

In this case we have to have clear that the perimeter of square consists in the addition of the length of each one of its four sides, this is:

[tex]perimeter=a+a+a+a[/tex]

The new square has a perimeter of 70, and we have to find the original length of each side, the equation will be:

[tex]70=a+2.5+a+2.5+a+2.5+a+2.5[/tex]

[tex]70=4a+10[/tex]

We have to clear a:

[tex]a=\frac{70-10}{4} \\a=\frac{60}{4} \\a=15[/tex]

The original length of each side was 15 inches.

Answer:

Step-by-step explanation:

[tex]-6n-5=31\qquad\text{First step: add 5 to both sides}\\\\-6n-5+5=31+5\\\\-6n=36\qquad\text\qquad\text{Second step: divide both sides by (-6)}\\\\-6n:(-6)=36:(-6)\\\\n=-6[/tex]

Answer:

The answer is c, 24 units.

D is the answer............

Answer:

5/13

Step-by-step explanation:

Since the triangles are similar, the cos F = cos C

Cos C = adjacent side/ hypotenuse

Cos C = 5/13

Cos F = 5/13

Answer:

[tex]S=45m+15[/tex]

Step-by-step explanation:

we have

E------>the number of sit-ups

m---->  the time in minutes

S----> the number of sit-ups after drinking the sports drink

[tex]E=15m+5[/tex] ----> equation A

[tex]S=3E[/tex] ----> equation B

substitute the equation A in the equation B

[tex]S=3(15m+5)[/tex]

[tex]S=45m+15[/tex]

Answer: Its the Second one!

Step-by-step explanation: Ur welcome <3

Answer:

Step-by-step explanation:

Answer:

12+x/8

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

i hope it helps if not 17 then it is ..................... 12+x/8

Answer:

2,038,711

Step-by-step explanation:

For a continuously compounding rate r, the growth is modeled by ...

P = P0·e^(rt)

where P0 is the initial population, r is the annual growth rate (compounded continuously) and t is the number of years.

Putting your values into this formula, you have

P = 750000·e^(0.04·25) ≈ 2,038,711

Using the formula for continuous compound growth, the population of the district in 2025 is projected to be approximately 1,226,030.

The question is asking about the future population of a district based on continuous compound growth. In this case, the compound interest formula, which includes the principle amount, the rate of growth (interest), and time. The formula often looks as follows: A = P * e^(rt), where A is the amount in the future, P is the principle amount (initial population), r is the rate of growth (interest), and t is the time.

In your case, the calculation would be: A = 750,000 * e^(0.04 * 25). Here, 'e' represents Euler's number (approximately equal to 2.71828), 0.04 is the growth rate, and 25 is the time (years from 2000 to 2025).

Using this formula, we can calculate that the population of the district in 2025 will be approximately 1,226,030 people, assuming a steady growth rate of 4% annually.

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Answer:

first...you have to split the net into three rectangles and two triangles

picture inserted

Step-by-step explanation:

step 1

triangular base area

1/2 bh = 1/2 (44 in)(64 in)

= 1/2 (2,816 sq in)

= 1,408 sq in.

2 x 1,408 sq in = 2,816 sq in.

step 2

end rectangle area

lw = (68 in)(69 in)

= 4,692 sq in

2 x 4,692 sq in = 9,384 sq in

Now find the area of the middle rectangle

lw - (69 in) (44 in) = 3,039 sq in.

then add all the areas together

2,816 + 9,384 + 3,036 = 15,236 sq in

The fabric that is required to make the tent should be B. 15,236 sq in.

triangular base area

1/2 bh = 1/2 (44 in)(64 in)

= 1/2 (2,816 sq in)

= 1,408 sq in.

Now

2 (1,408 sq in) = 2,816 sq in.

Now

end rectangle area

lw = (68 in)(69 in)

= 4,692 sq in

So,

2  (4,692 sq in) = 9,384 sq in

Now determine the area of the middle rectangle

So,

lw - (69 in) (44 in) = 3,039 sq in.

So, the fabric required is

= 2,816 + 9,384 + 3,036

= 15,236 sq in

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The length of the bd in the given triangle is 12 cm. This is obtained by applying the Pythagoras theorem.

The Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse. I.e., [tex]a^2+b^2=c^2[/tex].

The triangle is perpendicularly divided into two halves looking like right-angled triangles.

The side lengths for the given triangle are bc=13 cm and ac=10 cm

The line segment bd divides the triangle into two right-angled triangles symmetrically.

So, the base ac of the given triangle is divided at the mid-point d.

Thus,

ac = ad + dc

here, d is the mid point, ad = dc

So, ad=dc=5 cm

Now, the triangle forms a right-angled triangle with sides bd, dc, and bc. Where bc is the hypotenuse.

To find the length of bd, applying the Pythagoras theorem

[tex](bc)^2=(bd)^2+(dc)^2[/tex]

⇒ [tex](13)^2 = (bd)^2 + (5)^2[/tex]

⇒ [tex]169 = (bd)^2 +25[/tex]

⇒ [tex](bd)^2 = 169 - 25[/tex]

⇒ [tex](bd)^2 = 144[/tex]

∴ bd = 12 cm

Therefore, the length of the bd is 12 cm.

Learn more about Pythagoras's theorem here:

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Answer: C. The y-intercept means the concentration will remain 30% if no solution is added.  <-- on edgen2020

Explanation: The first person who answered is correct! I'm attaching a screenshot of my quiz with this- Good luck everyone! :)

Answer:

C. The y-intercept means the concentration will remain 30% if no solution is added.  

Step-by-step explanation:

edge2022

It is JG! You must rotate the second triangle so both triangles are at the same angle. Then, look at the lines and find the corresponding line segment on the other triangle.

Answer:

-3/b

Step-by-step explanation:

The reciprocal of -b/3 is -3/b

Answer:

d = b/c.

Step-by-step explanation:

Just divide both sides by c:

b = cd

b / c = cd/ c

b/c = d.

Answer:

[tex] d = \frac { b } { c } [/tex]

Step-by-step explanation:

We are given the following equation and we are to solve it for d:

[tex] b = c d [/tex]

Since we are asked to solve this equation for d and it contains all variables, it means that we need to make the variable 'd' the subject of the equation by keeping all other variables at the other side of the equation.

[tex] b = c d [/tex]

[tex]d=\frac{b}{c}[/tex]

[tex]y = - 2(x - 2)(x - 10)[/tex]

[tex]0 = - 2(x - 2)(x - 10)[/tex]

[tex]x - 2 = 0 \\ x = 2[/tex]

[tex]x - 10 = 0 \\ x = 10[/tex]

Answer:

The zero's are x=2 and x=10

Step-by-step explanation:

y = -2(x-2) (x-10)

We want to find the zero's so we set y=0

0 = -2(x-2) (x-10)

Using the zero product property

x-2 = 0   and x-10 =0

x-2+2 =0+2     x-10+10 =0+10

x =2      x=10

The zero's are x=2 and x=10

Answer:

y = 2.4

Step-by-step explanation:

first distribute into the parenthesis' -

2(y-3) = 1.2 -y

2y - 6 = 1.2 - y

+y                +y

3y -6 = 1.2

   +6     +6

3y = 7.2

/3      /3

y = 2.4

hope this helps!!

Answer:  y=2.4

Step-by-step explanation:

The work is below Hopefully this helps:)

* Mark me the brainliest:)!!

Answer:

Thursday

Step-by-step explanation:

Since the forecast being  completely accurate would be 0, you would have to choose the closest number to 0, and if you look -2 or Thursday is the closest number the 0,

Answer:

x < 61

Step-by-step explanation:

Given

x + 12 < 73

Isolate x on the left side by subtracting 12 from both sides

x < 63 ← is the solution

Answer:

3/8

Step-by-step explanation:

1/2 of a yard is 4/8 of a yard, so you can subtract 7-4 to get 3/8 of a yard.

Answer:

Option C is correct

[tex]3x^3-4x^2-10[/tex]

Step-by-step explanation:

Like terms are those terms which have same variable to the same power.

Find the difference of the following:

[tex](3x^3-2x^2+4)-(2x^2+14)[/tex]

Remove the parenthesis we get;

[tex]3x^3-2x^2+4-2x^2-14[/tex]

Combine like terms;

[tex]3x^3-4x^2-10[/tex]

Therefore, the difference of [tex](3x^3-2x^2+4)-(2x^2+14)[/tex] is, [tex]3x^3-4x^2-10[/tex]

Answer:

[tex]10.3\ mi[/tex]

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

we have

[tex]A(10,8)\\B(1,3)[/tex]

substitute the values

[tex]d=\sqrt{(3-8)^{2}+(1-10)^{2}}[/tex]

[tex]d=\sqrt{(-5)^{2}+(-9)^{2}}[/tex]

[tex]d=\sqrt{25+81}[/tex]

[tex]d=\sqrt{106}[/tex]

[tex]d=10.3\ mi[/tex]

ANSWER

[tex]8 {cm}^{2} [/tex]

EXPLANATION

First let us determine the scale factor of the enlargement

[tex]k = \frac{image \: length}{corresponding \: object \: length} [/tex]

[tex]k = \frac{8}{1.6} [/tex]

[tex]k = 5[/tex]

This implies that that, the corresponding length of the smaller rectangle is

[tex]l = \frac{25}{5} = 5cm[/tex]

The area of the smaller rectangle is

[tex] = 5 \times 1.6 = 8 {cm}^{2} [/tex]

let's recall something about a right-triangle.

it has a 90° angle, and the longest side, the hypotenuse, from the pythagorean theorem, is c² = a² + b², or namely c = √( a² + b²).

so, let's take a peek at the two smaller sides, 60 and 11, can we get the longest side from it using the pythagorean theorem?

[tex]\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=\stackrel{hypotenuse}{61}\\ a=\stackrel{adjacent}{60}\\ b=\stackrel{opposite}{11}\\ \end{cases} \\\\\\ 61=\sqrt{60^2+11^2}\implies 61=\sqrt{3600+121} \\\\\\ 61=\sqrt{3721}\implies 61=61~~\stackrel{\textit{yeap, it is}}{\checkmark}[/tex]

The given lengths of 60ft, 61ft, and 11ft can form a right triangle. This has been confirmed by applying the Pythagorean theorem, which gives equal results for both sides of the equation.

In the field of Mathematics, the formation of a right triangle with given side lengths can be verified using the Pythagorean theorem. The theorem states: If a triangle is a right triangle, then the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, as represented by this formula: a² + b² = c².

Applying this theorem to your question, we can use the three lengths you've provided: 60ft, 61ft, and 11ft. Let's assign the longest length (considered as the hypotenuse in a right triangle) as 'c', which is 61ft in this case. The other sides 'a' and 'b' would be 60ft and 11ft.

Here's how the theorem fits: 60² + 11² = 61².

Calculating the squares gives us 3600 + 121 = 3721 for the left-hand side, and 3721 for the right-hand side as well. Since the results are equal, the given lengths can indeed form a right triangle according to the Pythagorean theorem.

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Answer:

advance tickets cost $20 each & same-day tickets cost $35 each

Step-by-step explanation:

Let cost of advanced ticket be x and cost of same-day ticket be y. Now we can write 2 equations and solve them simultaneously.

"The combined cost of one advance ticket and one same-day ticket is $55":

[tex]x+y=55[/tex]

and

"...40 advance tickets and 15 same-day tickets were sold. The total amount paid for the tickets was $1325":

[tex]40x+15y=1325[/tex]

We solve for x in the first equation to get x = 55 - y and substitute this into 2nd equation and solve for y:

[tex]40(55-y)+15y=1325\\2200-40y+15y=1325\\-25y=1325-2200\\-25y=-875\\y=\frac{-875}{-25}=35[/tex]

Now plugging in y = 35 into the first equation, we can solve for x:

[tex]x+y=55\\x+35=55\\x=55-35\\x=20[/tex]

Hence, advance tickets cost $20 each & same-day tickets cost $35 each

The decimal equivalent of 3/7 rounded to the nearest hundreds is 0.428

Answer: 0.43 cause hundredths place is the 3 and its rounded

Step-by-step explanation:

Answer:

The correct answer is,

| -8|

| 4 |

Step-by-step explanation:

It is given two matrices,

1)Let Matrix A =   5  -2

                          -6    2

2) Matrix B =       -1

                          -1

Matrix A is 2 x 2 matrix and matrix B is 2 x 1 matrix

To find the product of two matrices

A x B =    5  -2       x      -1     =   -10+2      =   -8

             -6    2              -1             6 -2            4

Therefore the correct answer is

| -8|

| 4 |

Answer:6.2 and 6.5

Step-by-step explanation:

First, make a plotline from least to greatest and organize your list of numbers from least to Greatest.

Next, go through your list of organized numbers and add a dot to that number on the plotline. Repeat until done with list of numbers.

Then, go through your plotline and find the number(s) with the most dots and you have your mode.

Definition of mode: The number which appears most often in a set of numbers.

Answer provided in the image attached.

The center of the circle is the x and y in the equation.

To find the center you need to solve for x and Y when the equations inside parenthesis are set to zero.

(x-6)=0

x = 6

(y+3)=0

y = -3

The center of the circle is (6,-3)