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elixir [45]
3 years ago
5

What is the equivalent amount in year ten of an expenditure of $5,000 in year one, $6,000 in year two, and amounts increasing by

$1,000 per year through year ten?
Mathematics
1 answer:
Archy [21]3 years ago
3 0

Answer:

The correct answer is the equivalent amount is $139,059.41

Step-by-step explanation:

According to the scenario, the computation of the equivalent amount in year ten is shown below;

= $5,000 × (P/A, 10%,10) + $1,000 × (P/G, 10%,10)

= $5,000 × 6.1466 + $1,000 × 22.8913

= $30,723 + $22,891.30

= $53,614.30

Now the equivalent amount is

= $53,614.30 × (F/P, 10%,10)

= $53,614.30 × 2.5937

= $139,059.41

Hence, the equivalent amount is $139,059.41

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What set of transformations is performed on triangle ABC to form triangle A′B′C′?
Simora [160]

Answer: A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin .

Step-by-step explanation:

From the given figure, the coordinates of ΔABC are A(-3,4), B(-3,1), C(-2,1) and the coordinates of ΔA'B'C' are A'(3,1), B'(3,4), C'(2,4).

When, a translation of 5 units down is applied to  ΔABC, the coordinates of the image will be

Then applying 180° counterclockwise rotation about the origin, the coordinates of the image will be :-

which are the coordinates of ΔA'B'C'.

Hence, the set of transformations is performed on triangle ABC to form triangle A’B’C’ is " A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin ".

4 0
4 years ago
Peter spent $450 on groceries in 3 months.What is the amount he spent every month on groceries, if he spent the same amount ever
WITCHER [35]
The amount he spends per week is 450/3=$150.
6 0
3 years ago
Which answer describes the transformation of f(x)=log2(x−5)−2 from the parent function g(x)=log2x ? A) It is the graph of g(x) s
damaskus [11]

Answer:

It is the graph of g(x) shifted 5 units right and 2 units down.

Step-by-step explanation:

Given : f(x)=log_2(x−5)−2  

the parent function g(x)=log_2(x)

To get f(x) , 5 is subtracted from x

If we add any number with x  then we shift left

If we subtract any number from x  then we shift right

Here 5 is subtracted from x , so we shift 5 units right

Also -2  at the end

If we add any number at the end , then we shift up

if we subtract any number at the end , then we shift down

Here 2 is subtracted at the end , so we shift 2 units down

It is the graph of g(x) shifted 5 units right and 2 units down.

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Two triangles are shown on the graph below. Which is a true statement about the triangles?
andriy [413]

Answer:

where the triangles are........????

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3 years ago
What is the midpoint of -5,2 and 1,5
ANEK [815]

Answer:(-2,3.5)

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