-24e^5/6e = -<span>4e^4
hope it helps</span>
Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
<span>quotient of 63 and a number h would be 63/h
14 less than that would be 63 over h - 14</span>
Answer:
$638.25
Step-by-step explanation:
The interest is 5.5% yearly and it is simple interest.
Now, if we consider a deposit of $575 into the bank account that earned 5.5% simple interest each year, then after 2 and half years James will get interest only for 2 years as the 3rd year's interest will be added after the 3rd year.
Therefore, if no money was deposited into or withdrawn from the account, then after 2.5 years the sum will be
dollars. (Answer)
Step-by-step explanation:
A. One book =$9.25÷b
=$9.25/b
B.One pen=$1.30÷p
=$1.30/p
C. One book+One book
=[($9.25÷b)+($1.30÷p)]÷($9.25+$1.30)
=[(&9.25/b)+($1.30/p)]/($10.55)
