Tess deposited $500 in an account that earns 6% annual simple interest. She leaves the money in the account for 4 years. What wi
1 answer:
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Answer:
C
Step-by-step explanation:
Consider the series
The nth term of series is
The bottom index tells you that n starts changing from 3, so
Thus, the sum of all terms is
First, convert the mixed number into an improper fraction.
To convert a mixed number into an improper fraction, find the product of the whole number and the denominator and then add the numerator.
Then the denominator will be the original denominator from the mixed number.
= 
Now the fraction is being raised to the third power negative.
When an exponent is negative, it means to take the reciprocal of the number then raise it to the power of the absolute value of the exponent.
In a mathematical expression:
So, first take the reciprocal of
which is 3.
Then raise 3 to the absolute value of the exponent. The exponent is -3.
The absolute value of -3 is 3.
3^3 = 3 * 3 * 3 = 27
So, the answer is 27.
To convert a mixed number into an improper fraction, find the product of the whole number and the denominator and then add the numerator.
Then the denominator will be the original denominator from the mixed number.
Now the fraction
When an exponent is negative, it means to take the reciprocal of the number then raise it to the power of the absolute value of the exponent.
In a mathematical expression:
So, first take the reciprocal of
Then raise 3 to the absolute value of the exponent. The exponent is -3.
The absolute value of -3 is 3.
3^3 = 3 * 3 * 3 = 27
So, the answer is 27.
The question is incomplete. Here is the complete question:
Val rented a bicycle while she was on vacation. She paid a flat rental fee of f dollars, plus $8.50 each day. The total cost at the end of her vacation was t dollars. Let d represent the number of days Val rented the bicycle. Write an equation representing the total cost at the end of her vacation.
Answer:
Step-by-step explanation:
Given:
Flat rental fee =
Variable fee per day = $8.50
Total cost at the end vacation =
Number of days of her vacation =
Using unitary method, we can find the variable fee for 'd' days.
1 day variable fee = $8.50
Therefore, 'd' days variable fee =
Total cost at the end of her vacation can be obtained by adding the fixed rental fee and the variable fee obtained for the given number of days.
Now, total cost is given as:
Total cost = Flat rental fee + Variable fee
Substituting all the variables and framing above in the form of an equation, we get:
Therefore, the equation representing the total cost at the end of her vacation is