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If you invest $1,500 today in a bank that gives you a 5 percent annual interest rate, which of these items can you buy in two ye

Andre45 [30]

<span>First, we must calculate the amount that will be available after two years. This is given by: Amount = initial amount * (1 + interest rate)^time Amount = 1500 * (1 + 0.05)^2 Amount = $1,653.75 Therefore, the only items you can buy using this amount are the electronics worth $1,650</span>

3 0

3 years ago

Read 2 more answers

How many solutions will a problem have if the linear equations have the same slope and y intercept

Pepsi [2]

If the y-intercepts are the same, the two equations represent the same line and there are INFINITELY MANY SOLUTIONS

7 0

3 years ago

Given collinear points E, F and G such that point F is the midpoint of segment EG. Find the new length of EG given that EF =5x+9

Veseljchak [2.6K]

Answer:

The length of EG is 58 units

Step-by-step explanation:

The midpoint of a segment divides it into two equal part

Let us use this rule to solve our question

∵ E, F, and G are collinear points

∵ Point F is the midpoint of segment EG

→ That means F divides EG into 2 equal segments EF and FG

∴ EF = FG

∵ EF = 5x + 9

∵ FG = 3x + 17

→ Equate them

∴ 5x + 9 = 3x + 17

→ Subtract 3x from both sides

∵ 5x - 3x + 9 = 3x - 3x + 17

∴ 2x + 9 = 17

→ Subtract 9 from both sides

∴ 2x + 9 - 9 = 17 - 9

∴ 2x = 8

→ Divide both sides by 2 to find x

∵ $\frac{2x}{2}=\frac{8}{2}$

∴ x = 4

→ Substitute x by 4 in EF and FG to find their lengths

∵ EF = 5(4) + 9 = 20 + 9 = 29

∵ FG = 3(4) + 17 = 12 = 17 = 29

∵ EG = EF + FG

∴ EG = 29 + 29 = 58

∴ The length of EG is 58 units

6 0

3 years ago

Question: State whether each table of values represents a function

Mashcka [7]

Answer:

Please check the explanation.

Step-by-step explanation:

As we know that the values in the table represent a function only if there there is only 1 input for every output.

Given the table 1

x y

-12 2

-10 10

0 -2

5 -6

8 -11

15 -15

From the table, it is clear that for each input there exists a unique output.

i.e.

According to the given table,

y = 2 at x=-12

y = 10 at x=-1 0

y = -1 at x=0

y = -11 at x=8

y = -15 at x=15

From the table, it is clear that for each input x, it has a unique output y.

Hence, table 1 is a function.

Given the table 2

x y

9 -18

-20 0

-6 1

-17 16

9 17

11 19

This table does not produce a function, because the input x=9 produces two outputs.

i.e.

at x = 9, the y = -18

at x = 9, the y = 17

Therefore, the table 2 does not represent a function.

3 0

3 years ago

What is the value of x+2y if -3x-6y=24

almond37 [142]

Answer:

- 8

Step-by-step explanation:

Given

3x - 6y = 24 ( divide all terms by - 3 )

x + 2y = - 8

8 0

3 years ago