Answer:
6^8
Step-by-step explanation:
6^4 * 6^4
We know that a^b* a^c = a^(b+c)
6^4×6^4 = 6^(4+4) = 6^8
Answer:
-132
Step-by-step explanation:
x/12 = -11
<u>⋅ 12 = ⋅ 12</u>
x = -132
Answer:
is this actually a question
Step-by-step explanation:
Lyra's speed of travel is 6.71 feet per seconds and Lyra's direction of travel is 27 degrees north of east
<h3>How to determine the speed of travel?</h3>
The diagram that represents the scenario is added as an attachment.
Let x represents Lyra's speed of travel.
The value of x is calculated using the following Pythagoras theorem.

Evaluate the exponents

Evaluate the sum

Evaluate the exponent
x = 6.71
Hence, Lyra's speed of travel is 6.71 feet per seconds
<h3>How to determine the direction of travel?</h3>
The direction (∅) is calculated using the following tangent ratio.

Evaluate the quotient

Take the arc tan of both sides

Evaluate

Hence, Lyra's direction of travel is 27 degrees north of east
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Using compound interest, the rates per compounding period are given as follows:
a) 0.1273 = 12.73%.
b) 0.0833 = 8.33%
c) 0.0617 = 6.17%
<h3>What is compound interest?</h3>
The amount of money earned, in compound interest, after t years, is given by:

In which:
- A(t) is the amount of money after t years.
- P is the principal(the initial sum of money).
- r is the interest rate(as a decimal value).
- n is the number of times that interest is compounded per year.
The <u>interest rate per compounding period</u> is given as follows:

For item a, the parameters are:
r = 0.12, n = 52.
Hence:

For item b, the parameters are:
r = 0.08, n = 104.
Hence:

For item c, the parameters are:
r = 0.06, n = 12.
Hence:

More can be learned about compound interest at brainly.com/question/25781328
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