PLEASE HELP ME FAST!
The balance in two separate bank accounts grow each month at different rates. The growth rates for both accounts are represented by the functions f(x)=3^x and g(x)=5x+25. In what month is the f(x) balance greater than the g(x) balance? Show your work!​
P.S Whoever gives me a good answer and shows their work I will make as Brainliest!

Answer: 1/8

Step-by-step explanation: To write a percent as a fraction in lowest terms, first remember that a percent is a ratio that compares a number to 100.

So here, 12.5% can be written as the ratio 12.5 to 100 or 12.5/100.

To write 12.5/100 in lowest terms, first multiply the numerator and the denominator by 10 to get rid of the decimal. When we do this, we get the fraction 125/1000.

Now, we divide the numerator and the denominator of 125/1000 by the greatest common factor of 125 and 1,000 which is 125 and we end up with the equivalent fraction which is 1/8.

Therefore, 12.5% is equivalent to 1/8.

Answer:

0

Step-by-step explanation:

5y-2=3

5y=3+2

5y=5

y=5/5=1

9y-9=9(1)-9=9-9=0

Answer:

38.0

Step-by-step explanation:

Answer:

53(15) + 39(20) = x

795 + 780

=1,575

Step-by-step explanation:

there are 53 t-shirts 15$ each. Then 39 sweatshirts each 20$. so 53*15 + 39*20 will be your final solution.

Answer:

375

Step-by-step explanation:

Jim earns a total of $4500 over 12 weeks. To find out how much he makes weekly, divide the total earnings by the number of weeks, which is $4500 divided by 12, resulting in Jim earning $375 per week.

To calculate how much Jim makes in one week, we can divide his total earnings over the 12-week period by the number of weeks. Jim earns a total of $4500 over 12 weeks, so we can use the following equation where M stands for the amount Jim earns each week:

M = Total Earnings÷ Number of Weeks

M = $4500÷ 12

By performing the division, we find that Jim earns $375 per week. This is done by dividing 4500 by 12:

M = $375

Therefore, Jim makes $375 each week doing yardwork.

Answer:

my mistake sorry

Step-by-step explanation:

Answer:

(d) negative 12 s squared + 11 s t minus 2 t squared    is the PRODUCT.

Step-by-step explanation:

Here, the given expression is:

(negative 3 s + 2 t)(4 s minus t)   =  (- 3s + 2t) (4s - t)

Now, by DISTRIBUTIVE PROPERTY:

   A(B-C) = AB - AC

Simplifying the given expression ,we get:

[tex](- 3s + 2t) (4s - t)  = -3s(4s-t) + 2t(4s -t)\\= -3s(4s) -3s(-t) + 2t(4s) + 2t(-t)  = -12s^2 + 3st + 8 st - 2t^2\\= -12s^2 + 11st - 2t^2\\\implies (- 3s + 2t) (4s - t)  =   -12s^2 + 11st - 2t^2[/tex]

Now, the resultant expression can also be written as

[tex]-12s^2 + 11st - 2t^2[/tex]  =  negative 12 s squared + 11 s t minus 2 t squared.

Hence, the option (4) is the correct option.

Answer:

option 4 is the answer

Step-by-step explanation:

Step-by-step explanation:

So fill it in

2(3 times 3)+(6-2)2

so

2(9)+(4)2

then

18+8=26

Answer: 26

hope that is right

Answer:

First plug in for m and n

2(3)(3) +(6-2)(2)

Next solve

18 + 8

Answer= 10

Step-by-step explanation:

Answer:

[tex] \frac{16}{20} [/tex]

Step-by-step explanation:

he sold 16 and he was supposed to sell 20. therefore it's 16/20. not relevant, but he sold 80% of the tickets

Answer:

I don't know why but I personally think its 1/4 I'm probably wrong but I'm trying my best well I hope dis helps and stay safe :3

There are 65 people in the club.

Step-by-step explanation:

Given,

Fraction of people went on hiking = [tex]\frac{3}{5}[/tex]

No. of people went on hiking = 39

Let,

x be the number of people at club.

According to given statement;

[tex]\frac{3}{5}\ of\ x = 39\\\\\frac{3}{5}x=39\\0.6x=39\\[/tex]

Dividing both sides by 0.6

[tex]\frac{0.6x}{0.6}=\frac{39}{0.6}\\x=65[/tex]

There are 65 people in the club.

Keywords: fractions, division

Learn more about fractions at:

#LearnwithBrainly

Answer:

Any [a,b] that does NOT include the x-value 3 in it.

Either an [a,b] entirely to the left of 3, or

an  [a,b] entirely to the right of 3

Step-by-step explanation:

The intermediate value theorem requires for the function for which the intermediate value is calculated, to be continuous in a closed interval [a,b]. Therefore, for the graph of the function shown in your problem, the intermediate value theorem will apply as long as the interval [a,b] does NOT contain "3", which is the x-value where the function shows a discontinuity.

Then any [a,b] entirely to the left of 3 (that is any [a,b] where b < 3; or on the other hand any [a,b] completely to the right of 3 (that is any [a,b} where a > 3, will be fine for the intermediate value theorem to apply.

Answer:

Critical value is -1.98.

Step-by-step explanation:

Given:

The value of alpha is, [tex]\alpha=0.024[/tex]

Now, in order to find the critical value, we need to subtract alpha from 1 and then look at the z-score table to find the respective 'z' value for the above result.

The probability of critical value is given as:

[tex]P(critical)=1-\alpha=1-0.024=0.976[/tex]

So, from the z-score table, the value of z-score for probability 0.976 is 1.98.

Now, in a left tailed test, we multiply the z value by negative 1 to arrive at the final answer. We do so because the area to the left of mean in a normal distribution curve is negative.

So, the z-score for critical value 0.024 in a left tailed test is -1.98.

The critical value for α = 0.024 in a left-tailed test is -1.98.

To find this value, we locate α = 0.024 in the z-table. The z-table is a table that shows the probability of obtaining a z-score less than or equal to a certain value.

The z-score is a measure of how many standard deviations a particular data point is away from the mean of the population.

Here is the critical value for α = 0.024 in a left-tailed test: -1.98

In this case, we are looking for the z-score that corresponds to a probability of 0.024. This z-score is -1.98. Therefore, if our test statistic is less than or equal to -1.98, we will reject the null hypothesis.

For more questions on critical value

https://brainly.com/question/31529419

#SPJ3

Answer:

3 quarts

Step-by-step explanation:

There are 4 quarts in a gallon

3×4=12

12-9= 3

Answer:

x < 7

Step-by-step explanation:

We are given an equation of inequality and we have to solve the equation as an inequality.

The given equation is - 19 > x - 26

⇒ - 19 + 26 > x

⇒ 7 > x

⇒ x < 7 {Since, if a > b then we can write b < a, as they are equivalent}

Hence,the solution of the equation of the inequality is x < 7. (Answer)

Answer:

Standard form: 5 x 10^-1

Expanded form: 0.5

Step-by-step explanation:

hope this helps

Answer:

D. [tex]\displaystyle (0,5, 0,5)[/tex]

Step-by-step explanation:

C(3, −3) and A(−2, 4)

Just by looking at the graph, we can CLEARLY see that answer choice D is EXACTLY halfway in between the two given endpoints.

I am joyous to assist you anytime.

Answer:

[tex](0, log_{b}(-k)), k < 0[/tex]

Step-by-step explanation:

[tex]y = \log_{b}(a - k)[/tex]

To find the y-intercept, set a = 0 and solve for y.

[tex]y = \log_{b}(0 - k)\\y = \log_{b}(-k)[/tex]

This equation is undefined for k ≥ 0.

There is a y-intercept only if k < 0. Only then can the argument of the log function be positive.

The y-intercept is at

[tex]\mathbf{(0, log_{b}(-k)), k < 0}[/tex]

For example, if b = 2 and k = -3, log₂(3) = 1.585

The intercept is at (0, 1.585).

Answer:

The answer is 4/8=2/4 because 4/8 simplifying is 2/4 or 1/2

The true fraction comparisons are 1/2 = 2/4 and 4/8 = 2/4. The other comparisons are false. Simplifying fractions helps determine their equality.

Comparing Fractions:

Let's determine which of the given fraction comparisons are true:

The three true comparisons are: 1/2 = 2/4, 3/6 = 2/4, 4/8 = 2/4, and none from the rest.

Answer:

[tex]y\le\dfrac{1}{2}x+2[/tex]

Step-by-step explanation:

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 0) and (0, 2). This line has the equation

[tex]y-0=\dfrac{2-0}{0-(-4)}(x-(-4))\\ \\y=\dfrac{1}{2}(x+4)\\ \\y=\dfrac{1}{2}x+2[/tex]

The origin belongs to the shaded region, so its coordinates must satisfy the inequality. Since

[tex]\dfrac{1}{2}\cdot 0+2=2\ge 0,[/tex]

then the correct inequality is

[tex]y\le\dfrac{1}{2}x+2[/tex]

Answer:

A

y ≤ [tex]\frac{1}{2}[/tex]x + 2

Step-by-step explanation:

Answer: 53, 54, 55, and 56

Step-by-step explanation: This problem states that the sum of 4 consecutive numbers is 218 and it asks us to find the numbers.

4 consecutive numbers can be represented as followed.

X ⇒ first number

X + 1 ⇒ second number

X + 2 ⇒ third number

X + 3 ⇒ fourth number

Since the sum of our 4 consecutive numbers is 218, we can set up an equation to represent this.

X + X + 1 + X + 2 + X + 3 = 218

On the left side of the equation, we can combine our x's and our numbers.

4x + 6 = 218

      -6     -6   ← subtract 6 from both sides of the equation

4x = 212

÷4    ÷4   ← divide both sides of the equation by 4

 X = 53

X ⇒ first number   = 53

X + 1 ⇒ second number   = 54

X + 2 ⇒ third number   = 55

X + 3 ⇒ fourth number   = 56

Therefore, our 4 consecutive numbers are 53, 54, 55, and 56.

Answer:

t=1.6

Step-by-step explanation:

Answer:

None.

Step-by-step explanation:

18+36=54

A) 29+16=45

B) 6/3+12=2+12=14

C) 7(2+4)=7(6)=42

D) 2+36=38

Answer:

$69.75

Step-by-step explanation:

Given: Cost of textbook before tax=$65.49

The tax on the textbook = 6.5%

The tax amount = 6.5% of $65.49

=\frac{65}{1000}\times65.49=4.25685\approx4.26

⇒The tax amount = $4.26

The total cost of the textbook=Cost of textbook before tax+tax amount

=$65.49+$4.26

=$69.75

The total cost of the textbook is $69.75.

Credit goes to @JeanaShupp

Answer:

Answer is69.75

Step-by-step explanation:

Answer:

y = 43x − 25

Step-by-step explanation:

Evaluate the function at x=1:

f(x) = 12x³ + 3x² + x + 2

f(1) = 12 + 3 + 1 + 2

f(1) = 18

Find the slope of the tangent line at x=1:

f'(x) = 36x² + 6x + 1

f'(1) = 36 + 6 + 1

f'(1) = 43

Point-slope form:

y − y₀ = m (x − x₀)

y − 18 = 43 (x − 1)

Convert to slope-intercept form:

y − 18 = 43x − 43

y = 43x − 25

Graph:

desmos.com/calculator/giumpkkphr

To find the linear approximation for the function f(x) = 12x^3 + 3x^2 + x + 2 at x = 1, we can use the equation for the linear approximation. First, we need to find the derivative of the function and then plug in the values into the formula. The linear approximation is f(1).

To find the linear approximation for the function f(x) = 12x^3 + 3x^2 + x + 2 at x = 1, we can use the equation for the linear approximation:

() ≈ () + '()( − )

First, we need to find '(), which is the derivative of the function. Taking the derivative of f(x) gives us:

'() = 36^2 + 6 + 1

Next, we plug in x = 1 into the first equation:

(1) ≈ (1) + '(1)(1 − 1)

Simplifying, we have:

(1) ≈ (1)

So, the linear approximation for f(x) at x = 1 is f(1).

Answer:

The slope for the given points is - 2  , and  y- intercept is 5

Step-by-step explanation:

Given points as :

( - 1 , 7 )  and  ( 0 , 5 )

Now slope of line in points form as

Slope = m = [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

or, m =  [tex]\dfrac{5 - 7}{0 + 1}[/tex]

or, m = - 2

so, Slope of line is - 2

Now equation of line is given as

y - [tex]y_1[/tex] = m × ( x -  [tex]x_1[/tex] )

or, y - 7 = ( - 2 ) × ( x + 1)

or, y - 7 = - 2 x - 2

Or, equation of line is

y = - 2 x + 5

Now, for y - intercept , x = 0

So, from line equation

y = - 2 × 0 + 5

Or, y = 0 + 5

∴ y = 5

Hence The slope for the given points is - 2  , and  y- intercept is 5  Answer

Answer:

[tex]45x^3a+27xa^2= 9xa(5x^2+3a)[/tex]

Step-by-step explanation:

Given:

[tex]45x^3a+27xa^2= 9xa[/tex]

We need to complete this Statement.

By Solving the above equation we get;

We will take some common factor out so we will get;

[tex]45x^3a+27xa^2= 9xa(5x^2+3a)[/tex]

Hence the Complete statement is [tex]45x^3a+27xa^2= 9xa(5x^2+3a)[/tex]

Answer: 67 miles per hour

Step-by-step explanation: [tex]v = \frac{s}{t}[/tex] where v is velocity, s is space and t is time;

[tex]\frac{301.5 miles}{4.5 h}[/tex] = 67

Answer:

3 minutes

5 minutes.

Step-by-step explanation:

It is given that, Amelia can wash 8 plates in 24 minutes.

So, if this rate remains constant then 1 plate will be washed in [tex] \frac{24}{8} = 3[/tex] minutes.

Again, it is given that, Amelia bakes 12 cookies in 60 minutes.

So, if this rate also remains constant then she will bake 1 cookie in [tex] \frac{60}{12} = 5[/tex] minutes. ( Answer )

Answer:

False

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The multiples of 16: 16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,27

Factors of 24

The factors of 24.: 1,2,3,4,6,8,12,24,

Good evening ,

Answer:

x^2+16x-71 = (x+8)²-135

Step-by-step explanation:

x^2+16x-71 = (x+8)²-8²-71

                 = (x+8)²-(64+71)

                 = (x+8)²-135.

:)