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const2013 [10]
2 years ago
13

Simplify the expression 4p−5(p+6)

Mathematics
1 answer:
VLD [36.1K]2 years ago
6 0

Answer:

−p−30

Step-by-step explanation:

Let's simplify step-by-step.

4p−5(p+6)

Distribute:

=4p+(−5)(p)+(−5)(6)

=4p+−5p+−30

Combine Like Terms:

=4p+−5p+−30

=(4p+−5p)+(−30)

=−p+−30

Answer:

=−p−30

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After four years of college, Erica has to start paying off all her student loans. Her first payment is due at the end of this mo
tatiyna

Answer:

Therefore, the approximate monthly payment is $548.85

Step-by-step explanation:

The amount of student loans Erica currently has = $34,006.00

The duration over which Erica is to pay back the loan = 7 years

The annual interest rate for the loan = 9.1%

Therefore, we have the geometric sequence formula is given as follows;

A_n = P( 1 + r)^n - M \times \left [ \dfrac{(1 + r)^n-1}{r} \right ]

Where;

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r = The annual interest rate = 9.1%

n = The number of monthly payment = 7 × 12 = 84

Aₙ = The amount remaining= 0 at the end of the given time for payment

Substituting the values into the above formula, , we get;

0 = 34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} - M \times \left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]

M = \dfrac{34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84}  }{\left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]} \approx 548.85

Therefore, the approximate monthly payment = $548.85

6 0
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Step-by-step explanation:

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Step-by-step explanation:

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, where n_1 = Size of first sample.

n_1 = Size of second sample.

As per given ,

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Now , If she calculates a two-sample confidence interval by hand for the difference in the mean number of flakes fed to horses with and without enteroliths the degrees of freedom she should use are

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