Answer:
the Slope is 
Step-by-step explanation:
She should invest $6491.73.
The equation we use to solve this is in the form

,
where A is the total amount in the account, p is the principal invested, r is the interest rate as a decimal, n is the number of times per year the interest is compounded, and t is the amount of time.
A in our problem is 14000.
p is unknown.
r is 6% = 6/100 = 0.06.
n is 2, since it is compounded semiannually.
t is 13.
Answer:
x = 4
Step-by-step explanation:
Vertical angles are equal.
m∠1 = m∠2
10x - 9 = 4x + 15
Add 9 to both sides
10x = 4x + 15 + 9
10x = 4x + 24
Subtract 4x from both sides
10x -4x = 24
6x = 24
Divide both sides by 6
x = 24/6
x = 4
Assume that 7 is a. We already know that c = 25. The equation is c^2 - a^2 = b^2.
25^2= 625 7^2= 49 625-49= 576
Square root of 576 = 24
The length of thee other leg is 24.
Answer:
28.5 feet
Step-by-step explanation:
A water tower casts a shadow that is 24 foot long. A 9.5 foot tall tree casts a shadow that is 8 foot long. What is the height of the water tower?
The formula is given as:
Height of the tower/Shadow of the tower = Height of the tree/Shadow of the tree
Let the Height of the tower = x
Hence:
x/24 = 9.5/8
Cross Multiply
8x = 24 × 9.5
x = 24 × 9.5/8
x = 28.5 feet
Therefore, the height of the water tower is 28.5 feet