Helpppp pls this involves compound interest

The value of x for the considered algebraic equation is 4.

If we have [tex]a^b[/tex] then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation (the process of raising some number to some power) have some basic rules as:

[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^c \implies b = c \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]

For this case, we have got the equation as:

[tex]3^{2x+1} = 3^{x+5}[/tex]

Using the property that: [tex]a^b = a^c \implies b = c \: \:(if \: a \neq 1 \: and \: a \neq -1)[/tex], we get:

[tex]2x + 1 = x + 5\\[/tex]

Solving it further:

[tex]2x + 1 = x + 5\\\\\text{Subtracting 1+x from both the sides}\\\\2x + 1 - (1+x) = x+5 - (1+x)\\x = 4[/tex]

Thus, the value of x for the considered algebraic equation is 4.

Learn more about exponentiation here:

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Hey there!

Add the total of Bruce, Cathy and Dilip

=> 7 + 10 + 15

=> 25

Then, Divide it by 600

=> 600 ÷ 25

=> 24

To find how much Bruce's share

we multiply 24 times the $10 he contributed

=> 24 × 10

=> 240

Therefore, Bruce's share would be $240

1. 24

2. 10.4

3. 12.8

so your basacually adding the number to itself

ex.

12.4+12.4= 24.8 that would be the answer

Answer:

Step-by-step explanation:

Let the number of 5-cent coins he has be x and the number of 10-cent coins he has be y

x coins + y coins = 157 coins

(x × 5)cents + (y × 10)cents = $10

These two equations are true about the money he has, i.e

x + y = 157

5x + 10y = 1000

(We made the $10 into 1000 cents because the coins are in cents)

We can solve the above equations either simultaneously or through substituting.

Simultaneously:

(x + y = 157) × 5

5x + 10y = 1000

5x + 5y = 785

5x + 10y = 1000

Subtract the co-efficients in the equations

0x + -5y = -215

-5y = -215

y = 43

This means he has 43 10-cent coins.

PS: We get the number of 5-cent coins by subtracting 43 from 157, the total number of coins he has.

Substituting:

x + y = 157

5x + 10y = 1000

y = 157 - x

5x + 10(157 - x) = 1000

5x + 1570 - 10x = 1000

-5x = -570

x = 114 coins

157 - 114 = 43 coins

Thus there are 43 10-cent coins.

Answer:

46

Step-by-step explanation:

You would have 46 10-cent coins. First split it up into dollars, there are $10 and 10 dimes in each dollar. So if James has 157 coins you would need to first see how many coins he has in total. In total there are 100 dimes. We need to get to 157 coins so we'll need to break up some of the coins. So we keep turning the dimes into nickels until we get the number 157 for all the coins in total. So James has 46 10-cent coins.

Answer:

the slope is 2

y- intercept is 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Isolate y:

y=-2x+7

2) Identify the slope (it is the coefficient of x after isolating y):

slope=-2

3) Replace x=0 to find the y intercept:

y=-2(0)+7=7.

Answer:

(-2, 10)

step-by-step explanation:

original vertex A: (4, -10)

If translated horizontally, there will be change in x axis

Then reflected over x axis, so use the formula: (x, y) → ( x, -y)

Answer:

answer is 8 explained in picture

[tex][Hello,BrainlyUser][/tex]

Answer:

8

Step-by-step explanation:

Knowing that;

Quotient ⇒ Divide

[tex]\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:10[/tex]

[tex]\frac{496}{62}[/tex]

[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]

[tex]\begin{matrix}62\overline{|\smallspace496}\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]Divide\;496\;by\;62\;to\;get\;8[/tex]

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\emptyspace8\:\:\:\:\:\:\:\:\:\:\:\:\\ 62\overline{|\smallspace496}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace4\emptyspace9\emptyspace6}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{49.6}{6.2}\:\mathrm{is}\:8[/tex]

[CloudBreeze]

Answer:

14

Step-by-step explanation:

-7 + 21

21 = Positive

-7 = Negative

Since, there are more positive than negative Thus, answer is positive

21 - 7 = 14

Hence, the answer is 14.

~`Lenvy`~

Answer:

its A

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The median is the middle value of the entire set of data when the data is in order. No calculation is needed most of the time.

So here the middle value is 12.

Have a good day!

Answer:

it rise over run so put 2y on graph count down 4 and move right 1

Step-by-step explanation:

Slope is also known as the gradient of a line. The number of blocks that Teddy is weighing is 20 blocks per pound.

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line. It also tells us the rate between the two given quantities.

As the graph is given to us and we need to find the number of blocks teddy is putting per pound, therefore, we need to calculate the rate of the graph also known as the slope of the graph, therefore, using any of the two points to calculate the slope of the graph,

[tex]{\rm Point1} : (x_1, y_1) = (0, 0)\\\\{\rm Point2} : (x_2, y_2) = (5, 100)[/tex]

We know that the slope of the line is given as,

[tex]\text{Slope of the line} = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values,

[tex]\text{Slope of the line} = \dfrac{100-0}{5-0} = \dfrac{100}{5}=20[/tex]

Hence, the number of blocks that Teddy is weighing is 20 blocks per pound.

Learn more about Slope:

https://brainly.com/question/2514839

Answer:

number of student tickets sold (x) = 40

number of adult tickets sold (y) = 60

Step-by-step explanation:

Let x = number of student tickets sold

Let y = number of adult tickets sold

Given:

⇒ x + y = 100

Given:

⇒ 4x + 8y = 640

Rewrite  x + y = 100  to make x the subject:

⇒ x = 100 - y

Substitute  x = 100 - y  into  4x + 8y = 640  and solve for y:

⇒ 4(100 - y) + 8y = 640

⇒ 400 - 4y + 8y = 640

⇒ 4y = 240

⇒ y = 60

Substitute found value for y into x = 100 - y and solve for x:

⇒ x = 100 - 60

⇒ x = 40

To solve graphically, rewrite both equations to make y the subject:

y = 100 - x

y = 80 - (1/2)x

Plot both lines.

The solution is the point of intersection (40, 60)

Answer:

x=5

Step-by-step explanation:

25x+30+5x=180 <----- do this (dont feel like showing my work)

USE SYMBOLAB I LITERALLY USE IT ALL THE TIME!!

Answer:

-0.5

Step-by-step explanation:

Answer:

m = -2

Step-by-step explanation:

Plug the two points in slope formula:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}} \\\\\frac{2-(-10)}{-4-2} \\\frac{12}{-6} \\\\m= -2[/tex]

Answer:

The linear equation is y = 8x + 60

Step-by-step explanation:

the slope-intercept form of the linear equation is

y = m x + b, where

∵ Claire charge a $60 sign-up fee

→ This means it is a fixed amount for a sign-up

∴ b = 60

∵ There is an additional $8 per month

→ This means it is the rate

∴ m = 8

∵ y represents the total cost of her membership in x months

→ Represent this situation by the form of the linear equation above

∴ y = 8x + 60

∴ The linear equation is y = 8x + 60

Answer:

y = 2x + 1/3

Step-by-step explanation:

Since the line is parallel to y = 2x - 5, its slope is also 2x, as parallel lines have the same slope, leaving you with y = 2x.

Since it intercepts the y-axis at 1/3, and y = 2x intercepts the y-axis at 0, you will now need to add a 1/3 to the end of the equation for it to intersect the y-axis at the right place.

Therefore, the equation is: y = 2x + 1/3

Answer:

Step-by-step explanation:

We know the diagonals of a parallelogram bisect each other.

If O is the point of intersection of diagonals, AC is split into AO and OC.

Since AO = OC, the length of AC is:

Answer:

1.75

Step-by-step explanation:

Answer:

7/4 or 1¾ or 1.75

Step-by-step explanation:

7/1 × 1/4

7 × 1 = 7

1 × 4 = 4

Answer:

-209/222

Step-by-step explanation:

solve the mixed fractions and turn them into improper fractions and then take the lcm

Answer:

The total answer would be 0.25

Answer:

i have no idea what the answer is

Step-by-step explanation:

Answer:

The radius is 1.75 cm, 1 3/4 cm, or 7/4 cm (all the same, just in different forms)

The circumference in terms of π is 7/2(π) cm, 3.5(π), or 3 1/2(π) cm (all the same, just in different forms)

The approximate circumference of the circle is 10.99 or 11 cm. (don't know if it's supposed to be rounded)

Step-by-step explanation:

Radius = 1/2 of the diameter, so 1/2 of 7/2 is 1.75, 1 3/4, or 7/4 cm.

Circumference in terms of pi means to not approximate pi. Circumference of circle is πd, so the exact circumference would be 7/2 pi cm, 3.5 pi cm, or 3 1/2 pi cm.

3.5 x 3.14 = 10.99. 10.99 cm ≈ 11 cm.

Answer:

h= -5.6444444444 ft

Step-by-step explanation:

h= 5.5

5.5= -16^2 + 45 t +3.5

5.5 = 256 +45t +3.5

2= 256+45t

-254= 45t

t=- 5.6444444444

I hope that's right formula for you. Thanks.

Answer:

9

Step-by-step explanation:

Answer:

lessons he must complete: 15= 2x-6

Step-by-step explanation:

On the left side of the equation you have 15 hours which is what he must fulfill. X represents number of lessons he must complete. You convert the lessons to hours by multiplying by two because that is how long each lesson is. Im not sure if your teacher wants u to put 2x-6=15 or 2x= 11. Most likely the first answer

Answer: V≈9.42 yd^3

the formula to use for a cylinder is V=πr^2h. The radius is 0.5 since the diameter is 1. The height is 12. Plug them in and you get that answer.

Hope it helps!

Answer:

15W

Step-by-step explanation:

$15 is the amount he plans to save every week (constant), the W will represent the number of weeks

Answer:

15w

Step-by-step explanation:

w is the unknown amount and every week greg saves 15. So the equation would be 15w.

You can plug a number to check in for example 5. He would save $75.00 in 5 weeks.

In a parallelogram the 4 angles need to sum to 360 degrees. There are two sets of identical angles, so one of the other angles would also be 80 degrees.

Now find the other two angles:

360 - 80 - 80 = 200 degrees

200 degrees / 21 = 100 degrees each.

The other 3 angles are: 80, 100 and 100

Answer:

x= 4 1/6

Step-by-step explanation:

1. Create equation

12x=50

2. Solve

12x/12=50/12

x=4 1/6

3. Check

12x4 1/6=50

12x50/12=50

50=50

Correct!

4. Answer

x= 4 1/6