Answer:
a) 
b) The balance after 8 years will be of $29,069.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
a)
Loan of $17,500 means that 
6.4% interest rate means that 
Compounded monthly means that 
. So
b)
This is A(8). Then
The balance after 8 years will be of $29,069.
Answer:
0.32
Step-by-step explanation:
Equation: 16/(2(25)) = ?
Simplify: 16/50
Solve: .32
<u>There are 0.32 ounces of chocolate in each cookie.</u>
Answer: 61 people have worked on this worksheet so far.
Step-by-step explanation:
Given: 80% people try to do this ratio and proportion worksheet find they need some help with the problems.
Let x be the total number of people worked on this worksheet so far.
People need some help with the problems. =80% of x = 0.80x
As per given,
0.80x=49
Hence, 61 people have worked on this worksheet so far.
Answer:
The answer is 4 cm
Step-by-step explanation:
The answer is 4 cm because the formula for a cone is V=π r^2 h/3, and the formula for a cylinder is V=π r^2 h, and the cone's volume is V≈301.59, and, a cylinder with
r=4 and h=6 is V≈301.59
Therefore the answer is
4 cm
I hope this has satisfied you.
Answer:
0.675 m/s
Step-by-step explanation:
Let height of shadow= y,CD=x
Height of man=2 m
Speed of man= 
Therefore, 
Differentiate w.r.t t
When the man is 4 m from the building
Then, we have x=12-4=8 m
Substitute the values in above equation then, we get
Substitute the values then we get
Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.
