double a number plus 54 equals 8 times the number

Answer: $3,664.21

Formula: [tex]A=Pe^{rt}[/tex]

Substitute in the values:

[tex]A=(3000)e^{(0.04)(5)} =(3000)e^{0.2} =(3000)(1.2214)=3664.208[/tex]

Approximately $3,664.21

I think this is how you solve it o_O

Approximately there will be $3,664 in your account in 5 years.

What is compound interest?

The interest on a loan or deposit that is calculated using both the initial principal and the accrued interest from prior periods is known as compound interest.

Simple math may be used to demonstrate this: If you have $100 and it generates 5% interest annually, you will have $105 at the end of the first year. You will wind up with $110.25 at the conclusion of the second year.

Solution:

Since interest is compounded continuously, we need to find the future value.

A = Pe^rt, where:

P is the initial deposit

r  is the rate of interest

t is the time period of deposit

A is the future value

Given,

P = $3000

r = 4%

t = 5 yrs

Therefore, future value(A) = 3000 × e^(0.03)×(5)

                                         = 3664

Hence you will have $3664 in your account approximately.

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Answer:

g(x) = - ( x^2)

Step-by-step explanation:

opposite of function f

Answer:

D.

Step-by-step explanation:

The subtraction property involves subtracting the same number that is subtracted from one side of the equal sign and also subtracting same from the other side of the equal sign

For example: y + 3 = 2

To apply the subtraction property, subtract 3 from each side. Thus:

y + 3 = 2 - 3

From the given equation solved, the subtraction property was not applied in any of the steps shown.

Answer:D.)The addition property of equality was not applied to solve this equation

Answer: [tex]25\ mph[/tex]

Step-by-step explanation:

Given

Jane took 3 hours

First she rode 48 miles with let say with [tex]x[/tex] mph

then she rode 15 miles with speed [tex](x+5)[/tex] mph

Equate the time in each ride and equate it to total time

[tex]\Rightarrow 3=\dfrac{48}{x}+\dfrac{15}{x+5}\\\\\Rightarrow 3x(x+5)=48(x+5)+15x\\\\\Rightarrow 3x^2+15x=48x+48\times 5+15x\\\\\Rightarrow 3x^2-48x-240=0\\\\\Rightarrow (x-20)(x+4)=0\\\\\text{Neglecting the negative value as speed cannot be negative}\\\\\Rightarrow x=20\ mph[/tex]

So, her along the summit is [tex]x+5=25\ mph[/tex]

Answer:

Ellipse

[tex]✔ \: \: : { \sf{ {x}^{2} + {y}^{2} = 1 }}[/tex]

Step-by-step explanation:

[tex]{ \sf{circle : \: {x}^{2} + {y}^{2} + 2gx + 2fy + c = 0}} \\ { \sf{parabola : \: {y}^{2} = 4ax }} \\ { \sf{hyperbola : \: {x}^{2} - {y}^{2} = 1 }}[/tex]

Answer:

The answer is correct

Step-by-step explanation:

3(x + 4) + 2 = 2 + 5(x – 4)

3x + 12 + 2 = 2 + 5x - 20

3x + 14 = 5x - 18

-2x = -32

x = 16

Answer:

2 and 5 is the gcf and lcm is 360

Step-by-step explanation:

Answer:

GCF is 120 and LCM is 1440

Step-by-step explanation:

-To find the GCF, take a look at the orange section(the intersection) and multiply all the numbers in there. 2^3x3x5=120

-To find the LCM, multiply all the numbers in the entire venn diagram. 2^5x3^2x5=1440

Answer:

1 3/20

Step-by-step explanation:

23/20

Rewrite

20/20 + 3/20

1 3/20

Answer:

0.047619

P.S. do you need to round?

Answer:

[tex]\frac{1}{21}[/tex]

Step-by-step explanation:

Answer:

3.2 km/h

Step-by-step explanation:

1. Approach

The average speed is the rate at which one travels. It can be found by diving the total distance traveled over the total time it took to cover that distance. In essence, the following formula can be used to find the average speed:

[tex]\frac{total\ distance}{total\ time}=average\ speed[/tex]

In this situation, one is asked to find the difference between two people's average speed. One is given the following information:

Lena: 24 miles          1.5 hours

Ras:   36km               1 hour 15 minutes

First, convert all of the numbers into the correct units (km) and (hours). Then find the average speed for each person. Finally, subtract the smaller speed from the larger speed to find the difference in the average speeds.

1. Find Lena's average speed

The problem asks one to find the average speed in the units (km/h). However, the distance Lena covered is given in (miles). Therefore, one has to multiply it by the conversion factor (1.6) in order to convert it from (miles) to (km).

24miles * 1.6 = 38.4

Now find the average speed by using the formula:

[tex]\frac{total\ distance}{total\ time}=average\ speed[/tex]

Substitute,

[tex]\frac{38.4}{1.5}\\\\=25.6[/tex]

2. Find Ras's average speed

Use a similar approach to work out Ras's average speed, as was used to find Lena's average speed. Since Ras's time spent is given in both hours and minutes, one must convert it to just minutes. There are (60) minutes in an hour, thus, one can rewrite the number as the following:

[tex]1\ hour \ \ 15\ minutes= 1 \frac{15}{60}\ hours = \frac{75}{60}\ hours[/tex]

Now find the average speed:

[tex]\frac{total\ distance}{total\ time}=average\ speed[/tex]

Substitute,

[tex]\frac{36}{\frac{75}{60}}\\\\=28.8[/tex]

3. Find the difference between the speeds

Since Ras's speed is greater, subtract Lena's speed from Ras's speed.

Ras - Lena

= 28.8 - 25.6

= 3.2

Answer:

6s - 300 > 210 is the answer.

Answer:

hi?

Step-by-step explanation:

Answer:

52%

7 more

Step-by-step explanation:

There are 5*5 = 25 boxes in the grid

13 are shaded

13/25 = 13/25 *4/4 = 52/100 = 52% are shaded

We want 80% shaded

80/100

Divide top and bottom by 4

20/25

We need 20 shaded and have 13 shaded

20-13 = 7

We need to shaded 7 more

Answer:

add an attachm3nt to make iy clear

Answer:

i think it's 52

Step-by-step explanation:

1.

c² = n²

√c² = √n²

c = n

2.

if

c = 3 + 6 = 9

and

n = 5 + 4 = 9

Answer:

c = ±n

Step-by-step explanation:

Taking the square root of both sides yields

√c² = √n² or c = ±n

c² = n² is a quadratic equation, so we expect that there will be two roots:  one positive and one negative.  

Answer:

I hope D option write

I hope you help

plz Mark the brain list answer

Answer:

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

Step-by-step explanation:

A line with the highest absolute value of slope has the steepest graph

from the option, the highest is 5/2 so, y = 5/2 x is your answer.

OAmalOHopeO

Answer:

Y=5/2x

Step-by-step explanation:

The steepest graph is the one with the largest slope (m) this is because slope is rise over run so the larger the slope the steeper the graph. Hope this helps.

Answer:

yikes

Step-by-step explanation:

honestly I would help if I could.

The function represented by graph g(x) is

g(x) = 3x² / (x² - 9)

Option A is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

g(x) = 3x² / (x² - 9)

This can be written as,

g(x) = 3x² / (x - 3)(x + 3)

This is a rational function.

This can be graphed as the given graph.

Thus,

The function represented by g(x) graph is

g(x) = 3x² / (x² - 9)

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I assume the series is supposed to be

[tex]\displaystyle\sum_{n=1}^\infty \frac6{n(n+3)}[/tex]

The summand can be expanded into partial fractions:

[tex]\dfrac6{n(n+3)}=\dfrac an+\dfrac b{n+3}[/tex]

[tex]\implies 6=a(n+3)+bn=(a+b)n+3a[/tex]

[tex]\implies\begin{cases}a+b=0\\3a=6\end{cases}\implies a=2,b=-2[/tex]

Then the sum is equivalent to

[tex]\displaystyle2\sum_{n=1}^\infty\left(\frac1n-\frac1{n+3}\right)[/tex]

Consider the N-th partial sum of the series:

2[(1 - 1/4) + (1/2 - 1/5) + (1/3 - 1/6) + (1/4 - 1/7) + (1/5 - 1/8) + …

+ (1/(N - 3) - 1/N) + (1/(N - 2) - 1/(N + 1)) + (1/(N - 1) - 1/(N + 2)) + (1/N - 1/(N + 3))]

Each of the negative terms (in bold) will have a positive counterpart (underlined) that cancel, so the N-th partial sum would be

[tex]\displaystyle\sum_{n=1}^N\frac6{n(n+3)} = 2\left(1+\frac12+\frac13-\frac1{N+1}-\frac1{N+2}-\frac1{N+3}\right)[/tex]

As N approaches infinity, the last three terms in the sum converge to 0, so the original sum converges to

[tex]\displaystyle\sum_{n=1}^\infty \frac6{n(n+3)} = 2\left(1+\frac12+\frac13\right) = \boxed{\frac{11}3}[/tex]

Answer:   30 billion = 30 arab

Step-by-step explanation:

30 billion = 30 arab

Answer:

60 * -.75 = -45 ... 45 meters below starting point

Step-by-step explanation:

I think 90° because it looks like a right angle

If this is incorrect forgive forgive me plz

Answer:

16/9

Step-by-step explanation:

(4/3) ^2

(4/3) * (4/3)

First the numerators

4*4 = 16

Then the denominators

3*3 = 9

Numerator over denominator

16/9

[tex]\frac{16}{9}[/tex]

Answer:

Solution given:

[tex](\frac{4}{3})^{2}=\frac{4²}{3²}=\frac{16}{9}[/tex]

Answer:

Me need my points :D                    

Step-by-step explanation:

Answer:

cosA = - [tex]\frac{7}{25}[/tex]

Step-by-step explanation:

Using the double angle identity

cos2A = 2cos²A - 1 , then

cosA = 2cos²([tex]\frac{A}{2}[/tex] ) - 1 , that is

cosA = 2 × ([tex]\frac{3}{5}[/tex] )² - 1

        = 2 × [tex]\frac{9}{25}[/tex] - 1

       = [tex]\frac{18}{25}[/tex] - [tex]\frac{25}{25}[/tex]

       = - [tex]\frac{7}{25}[/tex]

The result shows that Brittany is faster than Natalie because she moved faster than her. Therefore, Brittany is (43.64 - 21.5) = 22.14mph faster than Natalie.

The average speed can be calculated by dividing the distance moved by the time taken. That is;

Average speed = Distance/time

According to this question, Brittany and Natalie start cycling together from their home to school, which is 14.4 miles away.

However, Natalie takes 40 minutes to reach school and Brittany reaches 20 minutes after Natalie.

First, we calculate the average speed of each individual as follows:

This shows that Brittany is faster than Natalie because she moved faster than her. Therefore, Brittany is (43.64 - 21.5) = 22.14mph.

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Answer:

KM = 10.68

K = 55 degrees

M = 35 degrees

Step-by-step explanation:

Firstly, we can use Pythagoras’ theorem to calculate the length of the hypotenuse which is KM

Mathematically, this is the sum of the squares of the two other sides KL and LM according to Pythagoras’ theorem

Thus, we have it that;

KM^2 = KL^2 + LM^2

KM^2 = 6.2^2 + 8.7^2

KM^2 = 114.13

KM = √(114.13)

KM = 10.68

We have two angles to calculate

Let us start with the angle at vertex K

The opposite side to is is the length LM which is 8.7

The adjacent side to it is the length 6.2

Mathematically, the relationship between the two can be calculated using the Tan ; as the Tan of an angle is the ratio of the length of the opposite to that of the adjacent

thus;

Tan K = 8.7/6.2

K = arc Tan (8.7/6.2)

K = 54.5 which is 55 degrees

since we have a right angle , we only have to subtract he measure of angle K from 90 to get the measure of M

M = 90-55 = 35 degrees

Answer:

the answer for ratio 16 to 14 = 1:3

Step-by-step explanation:

16:48

8:24

4:12

1:3