Mary is older than John by 5 years .If John is now X years how old is John. ​

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: $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:

35/12

Step-by-step explanation:

Opposite / adjacent

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:

I hope D option write

I hope you help

plz Mark the brain list answer

Answer:

i think it's 52

Step-by-step explanation:

I think 90° because it looks like a right angle

If this is incorrect forgive forgive me plz

Answer:

6 Tickets

Step-by-step explanation:

$12.00 = 1 Ticket

$94.00 = Food they bought.

$166.00= Spent total

166-94=72

$72.00= 6 Tickets

Answer:

hi?

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Answer:   30 billion = 30 arab

Step-by-step explanation:

30 billion = 30 arab

Answer:

2k = 10m+4m=3

2k =14m=8.4

The solution of the given equation is 2k + 4m​ = 32

An equation represents equality of two or more mathematical expression.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We are given the equation as;

2k + 4m​

When k = 5

m = 3

Solving ;

2k = 2 (5) = 10

4m = 4(3) = 12

Then 2k + 4m​ = 10 + 12 = 32

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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:

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:

Me need my points :D                    

Step-by-step explanation:

Answer:

the answer for ratio 16 to 14 = 1:3

Step-by-step explanation:

16:48

8:24

4:12

1:3

Answer:

36

Step-by-step explanation:

9×4=36 so money spent will be 36 dollars

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:

add an attachm3nt to make iy clear

Answer:

7

Step-by-step explanation:

First solve what is in the parentheses.

-5+3(4)

Multiply 3 by 4.

-5+12

Subtract/add

7

I hope this helps!

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:

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]

Given:

The function is:

[tex]f(x)=\sqrt{x-3}[/tex]

To find:

The inequality that is used to find the domain of the given function.

Solution:

We have,

[tex]f(x)=\sqrt{x-3}[/tex]

We know that the radical functions are defined for only positive values of radicand.

It means the given function is defined if the value of (x-3) is greater than or equal to 0.

[tex]x-3\geq 0[/tex]

Adding 3 on both sides, we get

[tex]x-3+3\geq 0+3[/tex]

[tex]x\geq 3[/tex]

The inequality [tex]x-3\geq 0[/tex] is used to find the domain of the given function and the domain of the given function is [tex]x\geq 3[/tex].

Therefore, the correct option is B.

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:

1 3/20

Step-by-step explanation:

23/20

Rewrite

20/20 + 3/20

1 3/20

Answer:

3, 1, –1, –3, ... arithmetic

4, 3, –3, –4, … neither

2, -1, ½,-¼ ... geometric

Step-by-step explanation:

3, 1, –1, –3, ...

We are subtracting 2 from the previous term

This is an arithmetic sequence

4, 3, –3, –4, …

There is no number that we can add to each term to get the next

There is no number that we can multiply to each term to get the next

neither

2, -1, ½,-¼ ...

We can multiply by -1/2 to get the next term

This  is a geometric sequence

90°

that is the procedure above