We have to calculate the amount of money Peter will have in his account after 5 years. Formula for the amount after t years with interest compounded continuously : A = P * e^(r t ). We know that r = 0.06; t = 5; e = 2.71 and P = $8,000. A = 8,000 * 2.718^( 0.06 * 5 ) = 8,000 * 2,718^( 0.3 ) = 8,000 * 1.3488158 = 10,798.53. Answer:<span> B. $10,798.53.</span>
<h2>
Answer:</h2><h3>b. n is odd</h3><h2>
Step-by-step explanation:</h2>
In this problem, we assume that
is a whole number. The definition of inverse functions tells us that a function
has an inverse function if and only if the function is one-to-one, that is, if there is no any horizontal line intersecting the graph of
at more than one point. This only happens if
is odd. This is called the Horizontal Line Test for Inverse Functions. So let's take two examples:
FIRST:

Since n is even, an horizontal line will pass through two points as indicated in the first figure below.
SECOND:

Since n is odd, an horizontal line will pass through just one point as indicated in the second figure below.
Answer:
✓ 45% = 9/20
Step-by-step explanation:
What box?
The answer is 7x≤15 because 7 times x (7x) can't be greater than 15, so the inequality would be less than or equal to because it had to be less than or equal to 15.
7x≤15
Answer:
To find the value of missing exponent, we have to split the number which is in other side of equal sign (which is not having power) as the multiple of base of the missing exponent.
On both sides, powers have the same base, so their exponents must be equal.
Step-by-step explanation:
<h3>Problem 1:</h3>
Write the missing exponent:
25=5^x
Let x be the missing exponent.
To find the value missing exponent, we have to split the number which is in the left side as the multiple of the base of the missing exponent.
That is,
25=5*5 or 5^2
Now,
5^2=5^x
Powers have the same base so their exponent must be equal.
Hence the missing exponent is 2