9514 1404 393
Answer:
373 miles
Step-by-step explanation:
The difference in latitude is ...
39.1° -33.7° = 5.4° = 0.54°(π/180°) radians = 0.03π radians
The arc length is given by ...
s = rθ, where θ is the angle in radians
The length of the arc along the longitude line is ...
s = (3960 mi)(0.03π) ≈ 373 mi
The distance from Atlanta to Cincinnati is about 373 miles.
The additional interest Benson pay each month is $750 if he invested at the rate of 2% for one year, option (b) is correct.
<h3>What is simple interest?</h3>
It is defined as the interest on the based on the principal amount, it does not include the compounded amount. The interest calculate on the initial amount or borrowed amount.
We know the formula for the simple interest is given by:
I = PRT
Where I is the simple interest.
P is the principal amount
R is the rate of interest
We have in the question:
I = $180
R = 2% = 0.02
T = 1 year
Put the above values in the formula, we get:
180 = P(0.02)(1)
P = $9000
The additional interest Benson pay each month is:
= 9000/12
= $750
Thus, the additional interest Benson pay each month is $750 if he invested at the rate of 2% for one year option (b) is correct.
Learn more about the simple interest here:
brainly.com/question/22621039
Answer: B. a savings account earns interest
Step-by-step explanation: Money loses value over time as the rate of inflation increases. In this scenario, when you have some money to spare, the ideal is to seek some kind of investment that earns interest.
Saving is one such option. The money in savings earns interest and is highly liquid, meaning it can be used at any time. In addition, saving is a very...
The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is
(x¹³)
To solve this exercise we have to resolve algebraic operations following the exponent rules.
(x²/x⁻¹¹)¹/₃
Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:
(x⁽²⁻⁽⁻¹¹⁾)¹/₃
(x⁽²⁺¹¹⁾)¹/₃
(x¹³)¹/₃
Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:
x⁽¹³*¹/₃⁾
x⁽¹³/₃⁾
As we have a fractional exponent, you must convert the exponent to root:
(x¹³)
<h3>What is an exponent?</h3>
In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
Learn more about exponent at: brainly.com/question/847241
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If i'm understanding this question correctly, i believe that it's 2.
2*9=6*3