ind the present value that will grow to $4000 if the annual interest rate is 8.5% compounded quarterly for 9 yr.
1 answer:
Answer:
$1876.31
Step-by-step explanation:
The present value can be found using the compound interest formula.
<h3>Present value</h3>The formula for the future value of an investment of P earning annual interest rate r compounded n times per year for t years is ...
FV = P(1 +r/n)^(nt)
Filling in the known values gives ...
4000 = P(1 +0.085/4)^(4·9) = P(1.02125^36)
Then the amount to be invested is ...
P = 4000/1.02125^36 ≈ 1876.31
The present value is $1876.31.
You might be interested in
Answer:
Step-by-step explanation:
Distance traveled in hours =
Distance traveled in 1 hour = ÷
÷
distance traveled in 3 1/5 hours =
=
Answer:
Domain: {-4, -2, 1, 2, 4}
Range: {-4, -2, -1, 1, 4}
The relation is a function.
Step-by-step explanation:
A <u>relation</u> is any set of ordered pairs, which can be thought of as (input, output).
A function is a <em>relation</em> in which no two ordered pairs have the same first component and different second components.
Remember that a function can only take on <u>one output for each input</u>. We cannot plug in a value and get out two values.
The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places <u><em>at exactly one point</em></u>, then the relation is a function.
I did the Vertical Line Test on your given graph. As you can see from the attached screenshot, each vertical line crosses the graph only once. Therefore, the given relation is a function.
The <u><em>domain</em></u> of the given relation is the set of x-values, while the <em><u>range</u></em> is the set of y-values. You'll have to list the ordered pairs in order to determine the domain and range of the given relation.
Relation: {(-4, -1), (-2, 1), (1, -2), (2, 4), (4, -4)}.
Domain: {-4, -2, 1, 2, 4}
Range: {-4, -2, -1, 1, 4}
Please mark my answers as the Brainliest if you find my explanations helpful :)
