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2 years ago

Pls anwser the questions

Mathematics

1 answer:

aksik [14]2 years ago

3 0

1 - 51
2 - 129
3 - 51
5 - 90

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3 years ago

Which vanable expression represents the word phrase?

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2 years ago

If the reserve rate is 7% and a bank receives a deposit of $9000, how much of the $9000 is the bank free to lend?

elena55 [62]

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3 years ago

Read 2 more answers

-2(3x+9)=-54 AND 2(3x+4) -3x=35 SHOW WORK PLEASE

Naily [24]

Answer:

1. x=6

2. x=9

Step-by-step explanation:

$-2(3x+9)=-54\\-6x-18=-54\\+18 +18\\-6x=-36\\\frac{-6x}{-6} = \frac{-36}{-6}\\x=6$

$2(3x+4)-3x=35\\6x+8-3x=35\\3x+8=35\\-8 -8\\3x=27\\\frac{3x}{3} =\frac{27}{3} \\x=9$

Written Explanation:

-2x(3x+9)=-54

-6x-`8=54 (Distributive property)

Add 18 to both sides

-6x=-36

Divide both sides by -6 (negative divided by a negative equals a positive)

x=6

2(3x+4)-3x=35

6x+8-3x=35 (distributive property)

3x+8=35 (combine Iike terms and then subtract them 6x-3x=3x)

Subtract 8 from both sides

3x=27

Divide both sides by 3

x=9

5 0

3 years ago

Hunter invested $750 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 % compounded continuously. London invested $7

kompoz [17]

Answer: $ 55

Step-by-step explanation:

When interest is compounded continuously, the final amount will be

$A=Pe^{rt}$

When interest is compounded daily, the final amount will be

$A=P(1+\dfrac{r}{365})^{365t}$

, where P= Principal , r = rate of interest , t = time

For Hunter , P= $750, r = $6\dfrac{5}{8}\%=\dfrac{53}{8}\%=\dfrac{53}{800}=0.06625$

t = 18 years

$A=750e^{0.06625(18)}=\$2471.48$

For London , P= $750, r = $6\dfrac{1}{2}\%=\dfrac{13}{2}\%=\neq \dfrac{13}{200}=0.065$

t = 18 years

$A=750(1+\dfrac{0.065}{365})^{18(365)}=\$2416.24$

Difference = $ 2471.48 - $ 2416.24 =$ 55.24≈$ 55

Hence, Hunter would have $ 55 more than London in his account .

7 0

3 years ago