The mystery number will be 19.4596
Answer:
There are 52 possible outcomes when you draw one card from a standard deck. Hence, 52 is the denominator of your probability fraction.
See description in the pic.
Answer:
Step-by-step explanation:
We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:
and we are given enough info to fill in:
and
and
or in linear format:
where n is the position of the number in the sequence. We already know the first term is -35.
The second term:
so
and
The third term:
and
so
and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.
That means that the fourth term will be -27 + 4 which is -23.
The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:
and
so
Answer:
$7,012.76
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 7/100
r = 0.07 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 5,000.00(1 + 0.07/1)(1)(5)
A = 5,000.00(1 + 0.07)(5)
A = $7,012.76
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 7% per year compounded 1 times per year over 5 years is $7,012.76.
