The future value (A) of a one-time investment of principal amount P at interest rate r compounded n times per year for t years is ...
... A = P(1 +r/n)^(nt)
Putting your given numbers into the formula, we have
... 876.34 = 300(1 +.06/4)^(4t)
Taking logarithms, this becomes the linear equation
... log(876.34) = log(300) + 4t·log(1.015)
Solving for t in the usual way, we get
... log(876.34) -log(300) = 4t·log(1.015) . . . . . . . subtract the constant term on the right
... (log(876.34) -log(300))/(4·log(1.015)) = t ≈ 18.00 . . . . divide by the coefficient of t
It will take <em>18 years</em> for the $300 CD to reach a value of $876.34.
<h3>Hello there!</h3>
The first thing we need to do here is see which information is relevant.
The question is asking for the ratio of books to pencils.
Therefore, we only need the number of books and pencils - all other information given is irrelevant in this scenario.
Number of books - 4
Number of pencils - 7
Now, we can order this as a ratio.
A ratio is two numbers put as a proportion. It's normally written out as first number : second number.
In this case, it's the ratio of number of books : number of pencils.
Fill in the number of books and number of pencils into each side of the equation.
number of books : number of pencils
4 books : 7 pencils (the unit is normally dropped)
So therefore, 4:7 would be your final answer.
Hope this helped!
Answer:
125 dogs and cats
Step-by-step explanation:
35 puppies make up 28% of the total dog and cat population
so 28% of the total population is 35
let x = the total population
0.28x = 35
x = 35 / 0.28
x = 125 <=== total dogs and cats
Answer:
y= -1/7x+23/7
Step-by-step explanation:
Answer:
the answer is 82° because if u added 45+53+82 it would come out to be 180° which is the overall degrees of a triangle.