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Alla [95]
2 years ago
9

...................Math help....................

Mathematics
1 answer:
frosja888 [35]2 years ago
8 0

Answer:

35

Step-by-step explanation:

First let's find g(7):

g(7) = 2(7)-11

g(7) = 14-11

g(7) = 3

Now we find f(g(7))

f(3) = 3(3²)+7(3)-13

f(3) = 3(9) +21-13

f(3) = 27+21-13

f(3) = 35

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What is the value of x=2x + 9 = -27
Sergio039 [100]
<h3>I'll teach you how to solve 2x + 9 = -27</h3>

-----------------------------------------------------

2x + 9 = -27

Subtract 9 from both sides:

2x+9-9 = -27-9

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5 0
3 years ago
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Henry buys a large boat for the summer, however he cannot pay the full amount of $32,000 at
Anna007 [38]

Answer:

Monthly payments=$418.14

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Step-by-step explanation:

Loan payment per month=Amount to pay÷discount factor

Mathematically  P=A÷D

where D is the discount factor calculated using the formula;

\frac{(1+i)^n-1}{i(1+i)^n}

where i=periodic interest rate=annual rate divided by number of payment periods

A is the amount to pay after downpayment

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n=number of periodic payments=payments per year times number of years

⇒In this question you find the discount factor then divide the amount remaining to pay with the discount factor to get monthly payments

Given;

Cost of boat=$32000

Down payment=$14000

Loan to pay=$32000-$14000=$18000

Annual rate=5.5%=i=5.5%÷12=0.458%⇒0.00458

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D=\frac{(1+i)^n-1}{i(1+i)^n} \\\\\\D=\frac{(1+0.00458)^{48} -1}{0.00458(1+0.00458)^{48} } \\\\\\D=\frac{1.2455-1}{0.005703} \\\\\\D=\frac{0.2455}{0.005703} =43.05

To get the amount to pay monthly divide the loan to pay with the discount factor

=\frac{18000}{43.05} =418.14

Monthly payments=$418.14

Total amount will be=down payment + 48×$418.14

$14000+$20070.84=$34070.84

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