Circle the table letter below that represents a proportional relationship to this original table:

At the start of 2014 lucys house was worth ?200 000. The value of the house increased by 5% every year. Workout the value of her

Galina-37 [17]

Answer:

The value of Lucys house at the start of 2017 is 231525.

Step-by-step explanation:

It is given that the initial value of Lucys house is 200,000. The at the start of 2017.

The exponential function is defined as

$P=P_0(1+r)^t$

Where, P₀ is initial value, r is growth rate, t is time in years.

The value of house is defined by the function

$P=200000(1+0.05)^t$

Where, t is number of years after 2014.

$P=200000(1.05)^t$

The difference between 2017 and 2014 is 3 years.

$P=200000(1.05)^3=231525$

Therefore the value of Lucys house at the start of 2017 is 231525.

3 0

3 years ago

the trailer cost one-fourth as much as the boat. the total cost of both is 4,000 how much did each cost

Katarina [22]

Answer: Boat cost $ 3200

Trailer cost $ 800

Step-by-step explanation: From the statement , the coat of Trailer (t) = 1/4 of the coat of the boat ( b)

i.e t = 1/4b

multiply through by 4

4t = b

both cost 4,000

i.e t + b = 4000

recall: b = 4t

therefore

t + 4t = 4000

5t = 4000

t = 4000/5

t = 800

b = 4000 - 800

b = 3200

4 0

3 years ago

Express the terms of the following sequence by giving a recursive formula.

emmasim [6.3K]

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

$a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\$

Step-by-step explanation:

First of all, we have to determine if the given sequence is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

$a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7$

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

$a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7$

Hence,

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

$a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\$

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

6 0

3 years ago

In a trapezoid ABCD with legs AB and CD , the diagonals intersect each other at point O.

blondinia [14]

Where are the choices??

3 0

2 years ago

A group of 9 friends went bowling. Each person pays the same amount to bowl several games and a $3 fee to rent

ruslelena [56]

Answer: Each friend would pay $15.

3 0

2 years ago

Read 2 more answers