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madam [21]
3 years ago
8

Rewrite each expression by combining like terms.

Mathematics
2 answers:
Andrej [43]3 years ago
8 0

Answer:

1) 5\times y-2xy=y(5-2x)

2) 4q + 2q - 6=6(q-1)

Step-by-step explanation:

1) 5\times y-2xy

In both terms given in an expression has common variable of 'y', so we can take that common.

The expression will be written as:

5\times y-2xy=y(5-2x)

2) 4q + 2q - 6

In two terms out of three in an expression has common variable of 'q', so we can take that common.

The expression will be written as:

4q + 2q - 6=2q(2+1)-6

=2q(3)-6

=6q-6

4q + 2q - 6=6(q-1)

Evgesh-ka [11]3 years ago
4 0

Answer:

5y-2xy

6q-6

Step-by-step explanation:

For the first expression, we can multiply 5 by y to get 5y. Thats all we can simplify it though, because xy is not equal to x or y.

For the second equation, we can easily add the variables to simplify. 6q-6

Hope this helps!

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Rachel purchased a prepaid phone card for $30. Long distance calls cost 6 cents a minute using this card. Rachel used her card o
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8 0
3 years ago
Nevaeh invested $660 in an account paying an interest rate of 3% compounded
iris [78.8K]

Answer:

19

Step-by-step explanation:

Rate 1: 3  

4

1

​  

%=3+1/4=

\,\,3.25\%\rightarrow 0.0325

3.25%→0.0325

\text{Rate 2: }3\tfrac{1}{8}\%=3+1/8=

Rate 2: 3  

8

1

​  

%=3+1/8=

\,\,3.125\%\rightarrow 0.03125

3.125%→0.03125

\text{Calculate Final Amount for Nevaeh}

Calculate Final Amount for Nevaeh

\overline{\phantom{\text{Calculate Final Amount for Nevaeh}}}

Calculate Final Amount for Nevaeh

 

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe  

rt

 

P=660\hspace{35px}r=0.0325\hspace{35px}t=14

P=660r=0.0325t=14

Given values

A=660e^{0.0325(14)}

A=660e  

0.0325(14)

 

Plug in

A=660e^{0.455}

A=660e  

0.455

 

Multiply

A=1040.2744

A=1040.2744

Use calculator (with e button)

\text{Calculate Final Amount for Jonathan}

Calculate Final Amount for Jonathan

\overline{\phantom{\text{Calculate Final Amount for Jonathan}}}

Calculate Final Amount for Jonathan

 

\text{Compounded Monthly:}

Compounded Monthly:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+  

n

r

​  

)  

nt

 

Compound interest formula

P=660\hspace{35px}r=0.03125\hspace{35px}t=14\hspace{35px}n=12

P=660r=0.03125t=14n=12

Given values

A=660\left(1+\frac{0.03125}{12}\right)^{12(14)}

A=660(1+  

12

0.03125

​  

)  

12(14)

 

Plug in values

A=660(1.0026042)^{168}

A=660(1.0026042)  

168

 

Simplify

A=1021.6468

A=1021.6468

Use calculator

\text{How much more money Nevaeh has:}

How much more money Nevaeh has:

1040.2744-1021.6468

1040.2744−1021.6468

18.6276

18.6276

\$ 19

$19

4 0
3 years ago
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