If 445 to base n is equal to 173,find the value of n

Mathematics

1 answer:

Troyanec [42]3 years ago

6 0

Answer:

(4×n²) + (4×n¹) + (5×n^0) = 173

4n² + 4n + 5 = 173

4n² + 4n = 168

divide through by 4

n² + n - 42 = 0

n² + 7n - 6n - 42= 0

(n + 7)(n - 6) = 0

n = -7 or 6

but the solution is 6 since base is not negative.

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Carrie borrowed money from her sister Melissa. She has been paying her back $80 a month for the past 5 months. If this is 32% of

MrRa [10]

The money which is borrowed by Carrie to her sister Melissa which she has been paying her back $80 a month is $1250.

<h3>What is percentage of a number?</h3>

Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.

Carrie borrowed money from her sister, whose name is Melissa. She has been paying her back $80 a month for the past 5 months. Thus, the total amount she has returned is,

x=$80×5

x=$400

Now, the $400 is 32% of the money that she borrowed. Thus, the amount of money which she borrowed is,

$\text{Money}=\dfrac{400}{32}\times100\\\text{Money}=1250$