For what value of x does 64^3x =512^2x+12

Answer:

$960.95

Step-by-step explanation:

The question is about finding the final amount after 4 years of a $700 investment with 8% interest, compounded quarterly. This can be solved using the compound interest formula.

The subject of your question pertains to compound interest in mathematics. Given the parameters, we want to find the amount after 4 years when $700 is invested at an interest rate of 8%, compounded quarterly. To solve this, we can use the compound interest formula, A = P(1 + r/n)^(nt), where 'A' is the amount of money accumulated after n years, including interest, 'P' is the principal amount (the initial amount of money), 'r' is the annual interest rate (in decimal form), 't' is the time the money is invested for in years, and 'n' is the number of times that interest is compounded per year. Plugging the values in, we get A = $700(1 + 0.08/4)^(4*4) which gives us the total amount after 4 years.

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Answer:

Ivan isn't the son

Step-by-step explanation:

Answer:

I would marry Ino from Naruto

Step-by-step explanation:

Plz mark brainliest

Answer:

my bestfriend jaheim

Step-by-step explanation:

This is an incomplete question, here is a complete question.

Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3:1 How many tablespoons does Debnil have?

A. 1/18

B. 1/2

C. 2

D.18​

Answer : The correct option is, (C) 2

Step-by-step explanation :

As we are give that Debnil has 6 teaspoons of salt.

The ratio of teaspoons to tablespoons is 3 : 1.

It means,

if he has 3 teaspoons then he has 1 tablespoons

if he has 1 teaspoons then he has [tex]\frac{1}{3}[/tex] tablespoons

So,

if he has 6 teaspoons then he has [tex]6\times \frac{1}{3}=2[/tex] tablespoons

Therefore, Debnil have 2 tablespoons of salt.

The number of tablespoons that debnil has is;

C: 2

We are told that;

Thus, if the total spoons is x. Then;

¾x = 6

Thus;

x = (4 × 6)/3

x = 8 spoons

Thus, number of tablespoons she has = 8 - 6 = 2

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Cancelling out both the -6 we get 12=0 which is not true, hence the equation is incorrect.

Answer:

wheres the answer choices

Answer:

65%

Step-by-step explanation:

Cross, multiply and divide method has saved my life with these problems, heres how to do it.

Set up like this:

143 x

------- = -------

220 100

Multiply 143 by 100, then divide that by 220.

x= 65, so she has read 65%

Final answer:

Olivia has read approximately 65% of her 220-page novel by reading 143 pages.

Explanation:

To calculate the percent of the novel that Olivia has read, we use the formula: (number of pages read ÷ total number of pages) × 100%. Olivia has read 143 pages of a 220-page novel. Therefore, the calculation is (143 ÷ 220) × 100%, which simplifies to approximately 65%.

The steps to solve the problem are given below:

Step 1: 143 / 220 = 0.65

Step 2: 0.65 x 100 = 65%

So, Olivia has read about 65% of the novel.

Answer:

Step 4: 44 32/24 - 37 15/24= 8 17/24

Here we can finally find out the mistake done by Noa. The result is 7 17/24 and not 8 17/24.

Step-by-step explanation:

1. Let's review carefully all the steps taken by Noa to calculate the difference of the circumferences of the two trees.

Circumference Tree 1 = 37 5/8 inches around

Circumference Tree 2 =  45 1/3 inches around

Step 1: 45 1/3- 37 5/8

The measures are correct, no issues copying them.

Step 2: 45 8/24 - 37 15/24

Noa looked for common denominators

1/3 * 8/8 = 8 /24 is correct; 5/8 * 3/3 = 15/24 is also correct.

Step 3: 44 32/24 - 37 15/24

Noa looked for making the fraction part higher on the left side:

45 8/24 = 44 32/24 is correct because 24/24 = 1

Step 4: 44 32/24 - 37 15/24= 8 17/24

Here we can finally find out the mistake done by Noa. The result is 7 17/24 and not 8 17/24.

Answer:

step 4 is correct so D

Step-by-step explanation:

i just took the test

Answer:

a is 7.5

b is 67.5

c is 100

d is let me think on d

Answer:

a is 7.5

b is 67.5

c is 100

d is for every 7.5

Answer:

h=11.3 and c=8(or 8.1 depending on what you do first)

Step-by-step explanation:

so we do the same thing like last time and 8√2 rounded is 11.3, and 7/√3, or 7√3/3 is 4( 4.04 gets rounded down). now we multiply by two because of the theorems and get 8(if this is wrong then try 8.1 because the answer differs depending on what you do first.)

Answer:

y=x

Step-by-step explanation:

Answer:

y = x

because it's at 1y axsis, and 1x axsis

Answer:

t=3

Step-by-step explanation:

Answer:

[tex]\cos x=-\dfrac{\sqrt{21}}{5}\\ \\\tan x =-\dfrac{2}{\sqrt{21}}\\ \\\cot x=-\dfrac{\sqrt{21}}{2}[/tex]

Step-by-step explanation:

Given

[tex]\sin x=\dfrac{2}{5}\\ \\\cos x<0[/tex]

Use formula:

[tex]\cos^2x+\sin ^2x=1\\ \\\cos^2x+\left(\dfrac{2}{5}\right)^2=1\\ \\\cos^2x=1-\dfrac{4}{25}\\ \\cos^2x=\dfrac{21}{25}\\ \\\cos x=\pm \dfrac{\sqrt{21}}{5}[/tex]

Since [tex]\cos x<0,[/tex] then

[tex]\cos x=-\dfrac{\sqrt{21}}{5}[/tex]

By definition,

[tex]\tan x =\dfrac{\sin x}{\cos x}=\dfrac{\frac{2}{5}}{-\frac{\sqrt{21}}{5}}=-\dfrac{2}{\sqrt{21}}\\ \\ \\\cot x=\dfrac{1}{\tan x}=\dfrac{1}{-\frac{2}{\sqrt{21}}}=-\dfrac{\sqrt{21}}{2}[/tex]

[tex]h^{-1}(x) = \frac{2x-8}{5}[/tex]

Step-by-step explanation:

Given function is:

[tex]h(x) = \frac{5}{2}x+4[/tex]

In order to find the inverse:

Replacing h(x) with y

[tex]y = \frac{5}{2}x+4[/tex]

Replacing x with y and y with x

[tex]x = \frac{5}{2}y+4[/tex]

Solving for y

[tex]x = \frac{5}{2}y+4\\x - 4 = \frac{5}{2}y+4-4\\x-4 = \frac{5}{2}y\\y = \frac{2}{5}(x-4)\\y = \frac{2x-8}{5}[/tex]

Replace y with h^(-1)(x)

[tex]h^{-1}(x) = \frac{2x-8}{5}[/tex]

Hence,

[tex]h^{-1}(x) = \frac{2x-8}{5}[/tex]

Keywords: Inverse, Functions

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Answer:

3:2

Step-by-step explanation:

Answer:

The height is 1343.13 meters.

Step-by-step explanation:

Air pressure may be represented as a function of height h in meters above the surface of Earth as shown below :

[tex]P(h) = P. e^{-0.000121h}[/tex] ......... (1)

In this function, P is air pressure at sea level and h is measured in meters.

Let at a height of h meters the pressure is 85% of the sea level pressure.  

Hence, from equation (1), we get

[tex]0.85 = e^{- 0.000121 h}[/tex]

Taking ln both sides, we can write

ln 0.85 = -0.000121 h (ln e) {Since [tex]\ln a^{b} = b \ln a[/tex]}

⇒ h = 1343.13 meters (Answer)

The value of x is determined as 64 by solving the first equation. This value is then used to find the percentage n, which turns out to be 16%.

First, let's solve the equation 125% of x is 80. 1.25 times x equals 80. Therefore, x equals 64. Now, we can use that value to solve the second equation, x is n % of 400. This means 64 is what percent of 400. Expressing this as a proportion: 64/400 = n/100. Evaluating this gives n = 16%.

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Answer:The formula for variable h can be calculated by the following steps;

Step-by-step explanation:

f=8gh

f/8g=h

Or

h=f/8g

To solve for the variable h in the formula f = 8gh, divide both sides of the equation by 8g. The formula for the variable h is h = f / (8g).

To solve the formula for the variable h, we need to isolate h on one side of the equation. In this case, the equation is f = 8gh. To isolate h, we divide both sides of the equation by 8g. This gives us:

h = f / (8g)

So the formula for the variable h is h = f / (8g).

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When trying to find the point-slope equation of a line you need to pick a point and plug it into the plain equation with your slope.

-3 = 1/3(-1) +b

Multiply your slope with your x

-3 = -1/3 +b

Move the -1/3 to the other side by doing the opposite operation, in this case being addition.

-3 +1/3 = b

-2 2/3 = b

y = 1/3x - 2 2/3

Answer:

The total miles driven equation is [tex]y=27x[/tex]

Step-by-step explanation:

Given:

Number of gallons of gas is x.

Total miles driven is y.

Carl's new car gets 27 miles per gallon.

Hence to calculate total miles driven we need to multiply 27 with number of gallons of gas.

Hence the equation becomes.

[tex]y=27x[/tex]

Last year's salary is $32000

Step-by-step explanation:

We will use the linear equations to solve the given problem

Let x be the last years salary

then

0.06x will be the raise in the salary

This year's salary is $33920

So,

[tex]x+0.06x=33920\\1.06x=33920[/tex]

Dividing both sides by 1.06

[tex]\frac{1.06x}{1.06}=\frac{33920}{1.06}\\=32000[/tex]

Hence,

Last year's salary is $32000

Keywords: Percentage, Linear equations

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Answer:

The slope is 1/2.

Step-by-step explanation:

m=(-2-(-4))/(7-3)=(-2+4)/4=1/2

Answer:

x = -10

Step-by-step explanation:

-16 = 8x/5

-80 = 8x

x = -10

Answer:

(9 x+6)   =  3( 3x + 2)

(3x+2) represent the cost of each ticket.

Step-by-step explanation:

Here, the given expression representing  the cost for three friends to go to the movies  is  : (9 x+6 )

Now,simplifying the given expression, we get:

(9 x+6)   =  3( 3x + 2)

So, the given expression represents 3 times ( 3x + 2 ).

So, here (3x+2) represent the cost of each ticket.

And the expression 3 ( 3x+2)  represent the cost 3 tickets combined.

A 6-pack of t-shirts for $3.12 because 3.12 ÷ 6 is 0.52

Answer:

the last one is the least expensive it's only $0.52

Step-by-step explanation:

$2.24 ÷ 8 = $0.56

$3.00 ÷ 3 = $1.00

$4.24 ÷ 8 = $0.53

$3.12 ÷ 6 = $0.52

I can't really give an explanation, since it's just multiplication, so here are the answers:

1. 32

2. 12

3. 24

4. 40

5. 20

6. 12

7. 12

Answer:

The function f(x) has a hole at point x = - 5.

Step-by-step explanation:

We are given a function as

[tex]f(x) = \frac{x^{2} + 7x + 10}{x^{2} + 9x + 20}[/tex]

Now, we have to describe where the function has a hole.

Now, [tex]f(x) = \frac{x^{2} + 7x + 10}{x^{2} + 9x + 20}[/tex]

⇒ [tex]f(x) = \frac{(x + 5)(x + 2)}{(x + 4)(x + 5)}[/tex]

Therefore, the common factor of the numerator and denominator is (x + 5).

Now, (x + 5) = 0

⇒ x = - 5

Therefore, the function f(x) has a hole at point x = - 5. (Answer)

By factoring and simplifying the function f(x)=(x^2+7x+10)/(x^2+9x+20), we find a hole at x=-5. This is because -5 was an excluded value in the original function, but does not cause the denominator to be zero in the simplified function.

The given function is f(x) = (x^2+7x+10) / (x^2+9x+20). To find where the function has a hole, we need to factor both the numerator and the denominator. We also must exclude any values of x that would cause the denominator to be zero as these are undefined in the function.

The numerator factors into (x+2)(x+5), and the denominator into (x+4)(x+5). If we simplify, the x+5 term will cancel out, leaving us with f(x) = (x+2)/(x+4).

Originally, x could not be equal to -4 or -5, as these would make the denominator zero. In the simplified function, only x=-4 causes the denominator to be zero. But since x=-5 was an excluded value in the original function, that indicates there is a 'hole' at x=-5 on the function.

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