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zaharov [31]
2 years ago
5

Expand the expression: 1/3(12d + e)

Mathematics
1 answer:
Westkost [7]2 years ago
7 0

Answer:

4d + e/3

1/3 x 12d + 1/3e

1x12d/3+1/3e

12d/3 + 1/3e

4d + 13e

4d + e/3

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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;

M = The monthly payment

P = The initial loan balance = $34,006.00

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
2 years ago
If lmn xyz which congruences are true cpctc check all that apply i.will give you brainiest
bixtya [17]
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5 0
2 years ago
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Rosita and Garth are saving up for a vacation, and begin with a certain amount saved each. If Rosita works 5 hours, she will hav
noname [10]
Treat each (time, money) pair as an (x, y) pair, and get the slope of the line:
For Rosita, (5, 128), (7, 164): m = (y2 - y1)/(x2 - x1) = (164 - 128)/(7 - 5) = 18, implying that she earns $18/hr. The y-intercept is calculated as: y = 18x + b, 128 = 18*5 + b, b = $38, meaning that she started with $38. Rosita's equation is y = 18x + 38.
For Garth, (3, 124), (8, 194): m = (194 - 124)/(8 - 3) = 14. For 124 = 14*3 + b, b = $82. Garth's equation is y = 14x + 82

To find out when they will have saved the same amount, both equations would have the same y-value:
18x + 38 = 14x + 82
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y = 18*11 + 38 = $236 (alternatively, y = 14*11 + 82 = 236)
This means that Rosita and Garth will have both saved $236 after 11 hours of working.
7 0
2 years ago
On monday maggie ran n miles on tuesday she ran 90% of the number of miles she ran on monday and on tuesday she ran 50% of the n
kari74 [83]

Answer:

let number of mile on monday be x

tuesday = 9/10 of x

wednesday = 9/20 of x

Step-by-step explanation:

tues = 90/100=9/10

wednes = 50/100 * 90/100 * x

wednes = 9/20 of x

3 0
2 years ago
Help pls, Find PG if JG=18.
saw5 [17]
Answer: PG = 1/3JG = 1/3 x 18 = 18/3 = 6
8 0
2 years ago
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