Answer:
The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000
Step-by-step explanation:
we know that
The simple interest formula is equal to

where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x-----> the amount invested at 5%
50,000-x -----> the amount invested at 7%
so

substitute in the formula above

solve for x



therefore
The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000
Step-by-step explanation:
There are 7 books that can go in the first spot.
After a book has been placed in the first spot, there are 6 books left that can go in the second spot.
After that, there are 5 books that can go in the third spot.
So on and so forth.
So the number of ways is:
7×6×5×4×3×2×1 = 7! = 5040
54981.35 is the square root
Answer:
SEE BELOW
Step-by-step explanation:
1. find value of m
a^2 + b^2 = c^2
7.5^2+10^2=c^2
15+100=c^2
115=c^2
square it
=10.7 (not answer)
a^2+b^2=c^2
10.7^2+30^2=c^2
114.49+900=c^2
1014.49=c^2
square it
m=31.9
2.20^2 + 21^2 = 841
29^2=841
yes the triangle is right angled !!!
hope this helps :)
The probability that Pete exceeds 200 in at least 9 of his next 10 games is 0.268+0.1074 = 0.3754
<h3>What is Probability ?</h3>
Probability is defined as the likeliness of an event to happen.
It has a range of 0 to 1.
It is given that
Pete, a professional bowler, is unhappy with any game below 200
80% of his games exceed this score.
the probability that Pete exceeds 200 in at least 9 of his next 10 games is given by
P( 9/10 > 200) +P(10/10>200)
The binomial experiment consists of n trial out of it x is success.

Here p = 0.8
For 9/10 matches

For (10/10 >200)

Therefore the probability that Pete exceeds 200 in at least 9 of his next 10 games is 0.268+0.1074 = 0.3754.
To know more about Probability
brainly.com/question/11234923
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