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anastassius [24]
3 years ago
7

James invests $5,072 in a savings account

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
5 0

Answer:

$13087.92

Step-by-step explanation:

formula: ab^x

a= starting  amount

a= 5072

b= 1+r

r=rate

r=9%=0.09

b=1+0.09 =1.09

x= 11 (years)

account after 11 years:

= 5072(1.09)^11

=13087.9227277

= 13087.92

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Quentin has 18 unit cubes. how many different rectangular prims can he build if he uses all of the cubes ?
frez [133]
A rectangular prism is defined by three lengths.

We can find out how many unit cubes would be in a prism by multiplying these three lengths together--that's how we find our <em>volume</em>.

Similarly, we can come up with different ways to multiply together three different numbers and make 18.
Each combination would be a new rectangular prism, with one catch:
Order doesn't matter. A prism with lengths 2, 2, and 3 is the same as one with lengths 2, 3, and 2, so don't make that mistake.

To find each combination, keep splitting 18 in different ways.
If one of the ways we split it can also be split, we need to write out that, too.
Here are the possible combinations:
18 × 1 × 1, obviously
9 × 2 × 1. splitting off 2
6 × 3 × 1. splitting off 3
4 × 6 × 1. our next biggest we can take out is 6, which can also be split...
4 × 3 × 2. there's the split of 6 into 2 and 3
<em>(3 × 6 × 1 is a repeat.)</em>
3 × 3 × 2 is new, though
<em>(2 × 9 × 1 is a repeat...)
</em><em>(2 × 3 × 3 is a repeat...)
</em>(aaaand 1 × 1 × 18 is a repeat. let's count up our combinations.)
<em>
</em>
There are 6 possible ways to multiply numbers together and get 18...
So 6 possible rectangular prisms.
4 0
2 years ago
Please help due in 5 minutes
miv72 [106K]

Answer:

x = 0

y= -3

Step-by-step explanation:

x = y + 3 into the equation y = -4x - 3, so

y = -4(y+3) - 3

y = -4y - 12 - 3

y = -4y - 15

5y = -15

y = -3

Then, you can substitute this into the equation x = y + 3

x = -3 + 3\\x = 0

6 0
2 years ago
What is the constant portion of y=1/3x
Reptile [31]

Answer:

1/3

Step-by-step explanation:

A direct variation has the form y=kx

k is the constant of proportionality

y = 1/3x

The constant of proportionality is 1/3

3 0
3 years ago
A chess club has 500 members nut is losing 30 members each year. A computer club has 150 members and is gaining 20 members per y
Fiesta28 [93]

500 - 30x = 150 + 20x
x = 7

3 0
3 years ago
NO LINKS!! Explain your answers (show the support by showing the changes in x and y on your table). If the relationship is linea
sdas [7]

Answer:

<u>Linear relationship</u>: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.

<u>Inverse relationship</u>:  the value of one variable decreases as the value of the other variable increases.

<u>Exponential relationship</u>: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)

<u>Question 5</u>

As the x-value increases (by one unit), the y-value decreases.

Therefore, this is an inverse relationship.

The y-values are calculated by dividing 35 by the x-value.

\sf y=\dfrac{35}{x}

**I believe there is a typing error in the table and that the y-value of x = 3 should be 11.67**

<u>Question 6</u>

As the x-value increases, the y-value increases.  The y-value increases by a factor of 5 for each x-value increase of 1 unit.

Therefore, this is an exponential relationship.

\sf y=5^x

5 0
2 years ago
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