Robert gets a loan from his bank. He agrees to borrow £6,000 at a fixed annual simple interest rate of 7%. He also agrees to pay the loan back over a 10-year period. How much money in total will he have paid back at the end of the 10 years?​

Answer:

5 days

Step-by-step explanation:

Given: bacteria to increase from 2000 to  50,000

To find: Number of days that a culture of bacteria will take to increase from 2000 to  50,000

Solution:

The growth of bacteria is represented by the equation: [tex]P(t)=P_0e^{kt}[/tex]

Here, t denotes time, k denotes growth rate and [tex]P_0[/tex] denotes initial population of bacteria.

Take [tex]P_0=2000[/tex], [tex]P(t)=50000[/tex] and [tex]k=0.657[/tex]

[tex]50000=2000e^{0.657t}\\\frac{50000}{2000}=e^{0.657t}\\25=e^{0.657t}\\0.657t=\ln 25\\t=\frac{\ln 25}{0.657}=4.9\approx 5\,\,days[/tex]

Answer:

GCF= 16

Step-by-step explanation:

factors of 32= 32, 16, 8, 4, 2, 1

factors of 16= 16, 8, 4, 2, 1

16 is the largest factor both numbers have in common

Answer: 16

Step-by-step explanation:

Answer:

The answer is C; y=x+2

Step-by-step explanation:

y=mx+b (3, 5)

5=1(3)+b

5=3+b

subtract 3 from both sides of the equation

2=b

equation; y=mx+b

                y=x+2

Answer:

C. y = x + 2

Step-by-step explanation:

→You can figure this out by using the point-slope form:

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

[tex]y-5=1(x-3)[/tex]

→Distribute the 1 to (x - 3):

y - 5 = x - 3

→Add 5 to both sides:

y = x + 2

Answer:

Factored Form:        x = y/2 + 7

Standard Form: 2x - y = 14

Step-by-step explanation:

Answer:

1 39/50 hours. This is equivalent to 1.78 hours.

Step-by-step explanation:

The sum of the hours of work and the hours for break gives the work day hour which has been given as 8 hours.

Furthermore, given that the break time is 22 1/4%, the number of hours for break

= 22 1/4% × 8 hours

= 89/400 × 8

= 1 39/50 hours

Answer:

x and y

Step-by-step explanation:

Answer:

2 variable x and y ( varable are the symbol that can take any balue in a expression)

Answer:

Step-by-step explanation:

(2, 3) and (5, 6) are the endpoints of a line segment that is not parallel to either axis and does not intersect either axis.

An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y coordinate.

A line segment is a piece or a part of line having two end points.

Since, a line segment is parallel to the either one axis if its one coordinate point is zero, whether it's y or x.

So for not parallel to either axis and does not intersect either axis  we will choose those points which are not zero.

Therefore,

The coordinates of the end points of a line segment that is not parallel to either axis and does not intersect either axis will be (2, 3) and (5, 6).

Similarly, you can use any point using this concept like (7,9) ad (2,3) and many.

Learn more about line segment here:

https://brainly.com/question/25727583

#SPJ2

Answer:

2(x+8)(x-5)

Step-by-step explanation:

2x^2 + 6x − 80

Factor out a 2

2(x^2 + 3x − 40)

What 2 numbers multiply to -40 and add to 3

8*-5 = -40

8+-5 = -3

2(x+8)(x-5)

The right answer is 2(x-5)(X+8)

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

Answer:

equation for the new circle is;

(x - 8)² + y² = 36

Step-by-step explanation:

There are two types of translations and they are translation horizontally and vertically. Combining both of them in the context of this question, to translate a circle 6 units to the right and 4 units up, we take our equation,

(x - 2)² + (y + 4)² = 36 and subtract 6 from the x - term and 4 from the y - term to get the equation of the new circle.

This gives us;

(x - 2 - 6)² + (y + 4 - 4)² = 36

This gives;

(x - 8)² + y² = 36

Answer:

y= x/4 - 3

Step-by-step explanation:

Answer: D is incorrect

Step-by-step explanation:

Answer:

8, 18 and 36 respectively.

sum=54

1st number=x

2nd number=x+10

3rd number =2(x+10)=2x+20

x+x+10+2x+20=54

put the liketerms together

x+x+2x=54-10-20

4x=24

divide both sides by 4 to get

x=8

Input the other values

[tex]7:3[/tex]

The ratio of 7 to 3.

The ratio as a fraction would be:

[tex]\frac{7}{3}[/tex]

Hey!!

Solution,

3x^2+6x

take the common,

3x(X+2)

hope it helps

Good luck on your assignment

Answer:

yes3244

Step-by-step explanation:

i will help 5642

Answer:

40.5

Step-by-step explanation:

3.75 * 2 = 7.50

48 - 7.50 = 40.5

Answer:

4n + 4

Step-by-step explanation:

Azhar - n years old now.

Last year he was  (n-1).

His mother was 4(n -1) last year.

Now his mother 4(n-1) + 1.

7 years later she will be 4(n - 1)  + 1 + 7 = 4n - 4 + 8 = 4n + 4

[tex]\text{Solve:}\\\\2x+3=2(x+3)\\\\\text{Use the distributive property:}\\\\2x+3=2x+6\\\\\text{Subtract 2x from both sides}\\\\3=6\\\\\text{Since 3 doesn't equal 6, this equation is not true}\\\text{Therefore, there are no solutions}\\\\\boxed{\text{No solutions}}[/tex]

Answer:

y = 16x +8

Step-by-step explanation:

Per means for every so and so, and a fee is one-time thing, so 16 would be with x and 8 as the y (intercept)

Answer:

2 adults and 2 senior citizens.

Step-by-step explanation:

There are 8 children, which means we need to take the number that represents the children from the graph which is 4 and multiply it by the 8 children going.

1. 4x8=32

So we have found the total for the 8 children, however there are 4 spots left

We take the total from the #1 and add 2 adults and 2 senior citizens.

32+6+6+3+3=50

We then come to the conclusion of 2 adults and 2 seniors.

Answer: Graph A and C

Step-by-step explanation:

Answer: a&c

Step-by-step explanation:

2020edg

Answer:

y=x+1

Step-by-step explanation:

The slope intercept form of a line is y=mx+b, where m is the slope of the line and b is the y intercept. Since the line rises one unit for every one unit it moves to the right, it has a slope of 1. Since it intersects the y axis at the point (0,1), it has a y intercept of 1. Therefore, the equation is y=x+1. Hope this helps!

Answer:

Hey!

Y= x + 1 is your answer!

Step-by-step explanation:

hope this helps!

Answer:

three hundred and one

Step-by-step explanation:

This wasn't very clear..

Answer: the number 301 can be written as three hundred one.

Step-by-step explanation: the number 301 can be written as three hundred one. To find a, take the number and move a decimal place to the right one position. Now, to find b, count how many places to the right of the decimal. There are 2 places to the right of the decimal place.

Answer:

b 2/7

Step-by-step explanation:

Because there is a 6/21 chance and 2/7=6/21

Answer:

EF = 34, FG = 25

Step-by-step explanation:

EG is the total of the two smaller segments, EF and FG.

Therefore:

8x-14 + 4x+1 = EG

8x-14 + 4x+1 = 59

Now we can solve this equation.

8x-14 + 4x+1 = 59

12x-13 = 59

12x = 72

x = 6

Now, we can plug in the values of x into the expressions for the lengths of EF and FG:

EF

8x-14

8(6)-14

48-14

= 34

FG

4x+1

4(6)+1

24+1

= 25

Answer:

B

Step-by-step explanation:

its B because the input for every pair has the same output, if the input had different outputs it would be considered not a function. Imagine it like a vending machine, if you were to press 3 on the vending machine you would get whatever 3 was, but if you pressed 3 and you get something else besides whatever 3 is it would be broken. I hope this was helpful, I struggled learning this stuff but now I got it down lol.

Answer:

The ball will hit the ground at 0.968 seconds.

Step-by-step explanation:

Please refer to the attached graph in the answer area.

The given equation of height according to input variable time 't' is:

[tex]h = - 16 t^{2} + 15 ...... (1)[/tex]

h is in feet

t is in seconds

Both the values 't' and 'h' will be positive. (Time and height can never be negative)

To determine the time, at which the ball hits the ground, i.e. the height becomes 0.

Putting value of h = 0 in equation (1)

[tex]0 = - 16 t^{2} + 15 \\\Rightarrow t^{2} = \dfrac{15}{16}\\\Rightarrow t = \sqrt{\dfrac{15}{16}}\\\Rightarrow t = 0.968\ sec[/tex]

Hence, the time at which the ball hits the ground is 0.968 seconds.

Answer:

Since, company A charge of $423.5 is less than company B charge of $450

Hence,

Company A should be hired to get the better deal.

Step-by-step explanation:

Dimension of room: 11 * 14 foot

Area of rectangle is given by length * width

Thus,

area of room using above formula = 11*14 square foot = 154 square foot

For company A

charge  for 1 square foot = $2.75

Charge for room = charge  for 1 square foot * area of room

                           = 2.75 * 154 = 423.5

Thus, Total money charged by company  A as calculated above is $423.5

Given,

company B charges $450 per room

Since, company A charge of $423.5 is less than company B charge of $450

Hence,

Company A should be hired to get the better deal.

Answer:

Company B

Step-by-step explanation:

Answer:

[tex]54.5 \: ft^2 [/tex]

Step-by-step explanation:

Area of the figure = Area of rectangle + Area of both triangles

[tex]= 11\times 4 +\frac{1}{2} \times 3 \times 4 +\frac{1}{2} \times 3 \times 3\\=44 + 3\times 2+ 3\times 1.5\\= 44 + 6 + 4.5\\=54.5 \: ft^2[/tex]