Kathy has $50,000 to invest today and would like to determine whether it is realistic for her to achieve her goal of buying a home for $150,000 in 10 years with this investment. what return must she achieve in order to buy her home in 10 years?
a) about 12%
b) about 13%
c) about 9%
d) about 10%

a) About 12%

Step-by-step explanation:

We need to find the interest rate required to achieve her goal, so we will need to use the interest-compound formula:

Where:

PV= Present Value

i= interest rate

FV= Future Value

n= number of periods

replacing the data provided:

solving for i:

first, divide both sides by 50.000 to simplify the equation:

Take roots of both sides:

±

solve for i:

±

We get two answers, but we look for a coherent value. So we take the positive one:

≈12

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

answer: this is not a question

step-by-step explanation: this is a answer