robert gets a loan from his bank.
he agrees to borrow £6000 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 ha have paid back at the end of the 10 years?

Answer:

d 115.9

Step-by-step explanation:

The initial investment of Calvin must be increased by a factor of 115.927 % to equal Marquez's investment at any time. (Correct choice: D)

In this question we must apply the concept of compound interest to derive the initial investment to be done by Calvin. According to the statement, Calvin invests money five years later than Marquez.

To determine the initial investment to be deposited by Calvin such that his investment equals Marquez's investment at any time we resort to the following expression:

[tex]1500\cdot (1+0.03)^{t+5} = C_{C}\cdot (1+0.03)^{t}[/tex]     (1)

Then, we simplify the required initial investment:

[tex]C_{C} = 1500\cdot (1+0.03)^{5}[/tex]

[tex]C_{C} = 1738.911[/tex]

And the increase factor is:

[tex]r_{C} = \frac{1738.911}{1500}\times 100\,\%[/tex]

[tex]r_{C} = 115.927\,\%[/tex]

The initial investment of Calvin must be increased by a factor of 115.927 % to equal Marquez's investment at any time. (Correct choice: D) [tex]\blacksquare[/tex]

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Answer:

5cm in the diagram

Step-by-step explanation:

30/6=5

Answer:

x-17.5

Step-by-step explanation:

angles in a triangle add to 180

3x+8+(2x-3)+5x = 180

simplify(collect like terms):

10x + 5 = 180

solve:

10x = 175

x=17.5

Step-by-step explanation:

could not find the formula ?

the volume of a cylinder is ground area × height.

and the ground area is a circle.

so, all in all we get

pi×r²×h

with r being the radius (half of the diameter), and h being the height.

in our case we get

pi×(140/2)²×10 = pi×70²×10 = 49000×pi =

= 153,938.04... cm³

Answer:

Step-by-step explanation:

Part A

The data is modeling a geometric sequence because they have a common ratio of 2.

Part B:

= 48

Step by Step Answer

f(n)=f(n-1)*r

f(n)=f(5-1)*2

f(n)=f(4)*2

f(n)=(24)2

f(n)= 48

Part C:

= 384

Step by Step Answer

f(n)=f(1)*r^n-1

f(n)=3*2^8-1

f(n)=3*2^7

f(n)=3*128

f(n)=384

Aurora will complete the 10th station in 1024 minutes (or 17 hours and 4 minutes).

A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios.

aₙ=a₁(r)ⁿ⁻¹

The given data represents a geometric sequence, where the common ratio between any two consecutive terms is 2.

We can find the common ratio by dividing any term by its preceding term.

Common ratio = 4/2 = 8/4 = 16/8 = 2

Let T₁ be the time taken to complete the first station (x = 1). Then the explicit formula for the nth term of the geometric sequence is:

Tₙ = T₁ r⁽ⁿ⁻¹⁾

where r is the common ratio.

We are given the first four terms:

T₁ = 2

T₂ = 4

T₃ = 8

T₄ = 16

We can use the formula to find the time taken to complete the 10th station (x = 10):

T₁₀ = T₁ r⁽¹⁰⁻¹⁾

T₁₀ = 2(2)⁹

T₁₀ = 2 x 512

T₁₀ = 1024

Therefore, T₁₀ = 1024.

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The word or phrase that describes the chances of Elizabeth winning the mountain bike if she buys all the tickets is likely.

If Elizabeth buys all the tickets, then she will most definitely win the raffle because she will have the winning ticket.

In probability, when an event is certain to happen, it is said that the event is "likely." It is therefore likely that Elizabeth will win the raffle.

Find out more on likely events at https://brainly.com/question/7130419.

Answer:

y = 0

Step-by-step explanation:

the midline is positioned midway between the maximum and minimum values of the function.

maximum = 0.5 and minimum = - 0.5 , then

y = [tex]\frac{0.5-0.5}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0

the equation of the midline is y = 0 ( that is the x- axis )

Answer:

y=0

Step-by-step explanation:

y = 0.5−0.52\(0.5-0.5)(2)

2

0.5−0.5

= -0.02/0

= 0

The midline is y=0

The exponential regression equation of the census predicts the number of unoccupied homes

The exponential regression equation is y = 5.247256 * 1.033157^x

The dataset is given as:

x      y

0     5.3

10    7.3

20   9.7

30   14.3

To determine the exponential regression equation, we make use of a graphing calculator.

The calculation summary from the graphing calculator are:

Hence, the exponential regression equation is y = 5.247256 * 1.033157^x

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Answer: True.

Step-by-step explanation: Lines that don't intersect are parallel lines, and those are not parallel.  Parallel lines look like the image below.  The point of intersection in your image is where K is.  

Hope this helps! :)

Answer:

The probability of landing on heads is 50 and the probability of landing on tails is 50.

Step-by-step explanation:

Her answer is wrong because -

A. It does not equal 100, all percentages must add to 100

B. There is an equal chance of getting heads and of getting tails and 30 and 50 are not equal

Answer:

The shadow is longer by 3ft

Step-by-step explanation:

A simple a^2 + b^2 = c^2 problem

81 + b^2 = 225

b = 12ft

Answer

One case of sprite costs 3 dollars, All four cases are $12. You can buy 16 cases of sprite with 48 dollars.

Step-by-step explanation:

How to get the cost for 1 case:

You have 4 cases of sprite which all four combined costs $12. You divide 12 by 4 and get 3.

How to get the amount of cases of sprite you can buy with $48:

divide 48 by 3 and you get 16. Why 3? Because 3 is the amount per case and 16 x 3 is 48. Thank me later!

Answer:

It costs $3 per case of Sprite

With 48 dollars, you could buy 16 cases.

Step-by-step explanation:

12/4 = 3    12 dollars divided buy 4 dollars each equals 3 dollars per case

48/3 = 16  48 dollars divided by 3 dollars per case equals 16 cases of sprite

Answer:

complex

Step-by-step explanation:

Answer: 18,086.4 cubic units

Step-by-step explanation:

the radius squared: 3×3.14×4²=150.72.

If you want to make 120 candles, multiply that number by 120: 150.72×120=18086.4.

Answer:

A) 15

B) 57

C) 7

D) 19

Step-by-step explanation:

a) 3x+y^2=

  Insert the values

   3(2) + 3^2

   6+9 (3^2 = 3 x 3 = 9)

    = 15

b) 3x^2+5y^2=

   Insert the values

   3(2)^2 + 5(3)^2

   3(2^2 = 2 x 2 = 4) + 5(3^2 = 3 x 3 = 9)

    3(4) + 5(9)

     12+ 45

    = 57

c) 2x+y

   insert the values

   2(2) + 3

    4 + 3

    = 7

d) 5y+x^2=

    Insert the values

    5(3)+ 2^2

     15 + (2^2 = 2x2 = 4)

      15+4

       = 19

Hey there!

A car is purchased for $23,000 . Each year it loses 30% of its value. After how many years will the car be worth $6700 or less? (Use the calculator provided if necessary.) Write the smallest possible whole number answer.

Set up the depreciation equation D(t) where t is the number of years in the life of the car:

D(t) = 23,000/(1.3)^t

The problem asks for D(t)<=6800

23,000/(1.3)^t = 6800

Cross multiply:

7300(1.3)^t = 24,000

Divide each side by 6800

1.3^t = 23000/6800

1.3^t = 3.38

Take the natural log of both sides:

LN(1.3^t) = LN(3.38)

Using the natural log identities, we have:

t * LN(1.3) = 1.22

t * 0.2624 = 1.22

Divide each side by 0.2624

t = 4.6494

Rounding this up, we have t = 5

Answer:

it would be 7647

close enough though

Step-by-step explanation:

Answer:  x = 54°

Step-by-step explanation:

The sum of these three inter angles is equal to 180°.

36° + 90° + x° = 180

         126 + x = 180

                   x = 54°

Step-by-step explanation:

36° +90°+ x = 180° ( sum of all angle of triangle is 180°)

126° + x = 180°

x = 180° - 126°

x = 54°

Answer=12

Step-by-step explanation:

The area of a rectangle is h×b.

h=11

11×b=132

b=132/11=12 units

Using the tangent ratio, the height of the antenna, to the nearest meter, is AB = 8 m.

Tangent ratio is expressed as: tan ∅ = opposite/adjacent (TOA).

The information given has been sketched in the diagram attached below.

Find AC using the tangent ratio. Thus, we would have:

tan 29 = AC/CD

Substitute

tan 29 = AC/22

AC = tan 29 × 22 = 12.2 m.

Find BC using the tangent ratio:

tan 42 = BC/DC

Substitute

tan 42 = BC/22

BC = tan 42 × 22 = 19.8 m.

The height of the antenna, AB = BC - AC = 19.8 - 12.2 ≈ 8 m.

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Answer:

30 dollars a week

Step-by-step explanation:

2100/70 is 30

Answer:

First answer, 0.54 is 54% and for the second one, 0.35 is 35%

Step-by-step explanation:

1. You first mulitply the numerator by the denominator by 100 which would be 0.54 x 100 = 54

2. Once you get the answer you just add a percentage to the end of 54 which would equal 54% and thats your answer for 0.54 and to find 0.35 it is the same thing to find the percentage.

Answer:

D.

Step-by-step explanation:

Okay, so 8:15 to 12:00 is 225 minutes, or 3.75 hours

12:45 to 17:30 is 285 minutes, or 4.75 hours

3.75 + 4.75 = 8.5 hours (total)

She earns 14.50 dollars per hour

8.5 * 14.5 = 123.25 dollars

D.

Answer:

The answers is D: 8.5 hours x $14.50 = $123.25

Step-by-step explanation:

This employee worked a total of 8.5 hours on Monday (3.75 hours in the morning and 4.75 hours in the afternoon).

Then, you have to multiply the total amount of hours worked by the number of dollars paid per hour.

8.5 hours x $14.50 = $123.25

Answer:

1.5m+1.25j

Step-by-step explanation:

m equals the number of muffins sold, and because each muffin sells for $1.50, 1.5m represents the income made from the muffins.

Same thing with the juice boxes, j equals the number of juice boxes sold, and because each juice box sells for $1.25, 1.25j represents the income made from the juice boxes.

Add the income from both of them to get the total income, and you get 1.5m+1.25j.

Using the Empirical Rule, it is found that the lifespans, in months, are given by:

1. 24 and 32.

2. 20 and 36.

3. 16 and 40.

It states that, for a normally distributed random variable:

Hence, considering the mean of 28 months and the standard deviation of 4 months, the life spans are given by:

1. 24 and 32.

2. 20 and 36.

3. 16 and 40.

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Using the Empirical Rule, it is found that there is a 68% probability that a student scored between 66 and 82.

It states that, for a normally distributed random variable:

In this problem, considering the mean of 74 and the standard deviation of 8, we have that:

74 - 8 = 66

74 + 8 = 82.

Hence, there is a 68% probability that a student scored between 66 and 82.

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Answer:

easy

bro

Step-by-step explanation:

so you have to calculate the equation

Answer:

Delta does not have a relative extreme in the equation, so it is variable y It can not be true

Step-by-step explanation:

[tex]s = 5x + 3y[/tex]

There is an answer

The rest of the equation that has no substituted delta is not true, so the prime variables have relative extremes.

Answer14,000

Step-by-step explanation:

20,000-6,000=14,000

Answer:14000

Step-by-step explanation:

20000 - 6000, not sure why ur doing these type of problems in highschool