Given
Present investment, P = 22000
APR, r = 0.0525
compounding time = 10 years
Future amount, A
A. compounded annually
n=10*1=10
i=r=0.0525
A=P(1+i)^n
=22000(1+0.0525)^10
=36698.11
B. compounded quarterly
n=10*4=40
i=r/4=0.0525/4
A=P(1+i)^n
=22000*(1+0.0525/4)^40
=37063.29
Therefore, by compounding quarterly, she will get, at the end of 10 years investment, an additional amount of
37063.29-36698.11
=$365.18
Answer:
In this problem, we need to describe the relation between variables, if that relation is functional or not. It's important to say that we assumed that the first variable is independent, and the second is dependent.
<h3>(a)</h3>
Age - Height of the person along his life: These variable are functinal and make total sense, because through time the person grows, which means the height changes as the age increases. These variables have a proportional relationship.
<h3>(b)</h3>
Height - Age of the person: These relation is not functional, becasuse age can't be a dependent variable, beacuse the age of a person doesn't depends on his height.
<h3>(c)</h3>
Gasoline price - Day of the Month: These relation is not functional, becasue time must be the independent variable.
<h3>(d)</h3>
Day of the Month - Gasoline price: These realation make sense, beacuse the price of the gasoline can be depedent of the day of the month.
<h3>(e)</h3>
A number and its fifth part: Notice that the fifth part depends on the number, it's defined by it, so this can be a function.
<h3>(f)</h3>
A number and its square root: These two variables represent a function, where "a number" represents the domain value and "its square root" represents a range vale.
Answer:
The answer is 68°
Step-by-step explanation:
<h3>
<u>Given</u>;</h3>
- A right angled-triangle IGH.
- where, m∠G = 90°
<h3><u>To </u><u>Find</u>;</h3>
We know that
tan θ = Opp ÷ Adj
tan θ = 5 ÷ 2
tan θ = 2.5
tan θ = 68.2 ≈ 68
We know that tan 68 = 2.5
Thus, The m∠I is 68°
<u>-TheUnknownScientist 72</u>
>
the answer is “>” because 12.312 is greater than 12.132
Step-by-step explanation:
Given :
Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 are congruent because they are vertical angles
To find : by which property are angles 4 and 5 congruent
Solution :
We know that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
Also, we know that if two things are equal to the same thing then they are equal to each other . In this case, we can say that if two angles are congruent to a third angle, then they are congruent to each other. As angles 4 and 5 are both congruent to angle 1, they are congruent to each other but angles 4 and 5 are alternate interior angles. So, if parallel lines have a transversal, alternate interior angles are congruent.
