Answer:
A). A(t) = P(1+r/n)^(nt)
B). DA/Dt = np(1+r/n)^(t)
C). A(5) =$ 5664.0
D).t = approximately 13.5 years
Step-by-step explanation:
A(t) = P(1+r/n)^(nt)
P = $5000
n= t
r= 2.5%
After five years t = 5
A(t) = P(1+r/n)^(nt)
A(5) = 5000(1+0.025/5)^(5*5)
A(5) = 5000(1+0.005)^(25)
A(5)= 5000(1.005)^(25)
A(5) = 5000(1.132795575)
A(5) = 5663.977875
A(5) =$ 5664.0
When the balance A= $7000
A(t) = P(1+r/n)^(nt)
7000= 5000(1+0.025/n)^(nt)
But n= t
7000= 5000(1+0.025/t)^(t²)
7000/5000= (1+0.025/t)^(t²)
1.4= (1+0.025/t)^(t²)
Using trial and error
t = approximately 13.5 years
Answer:
b)
Step-by-step explanation:
In every single other option, the y is not corresponding in amount to x. However in b), y is 6 times x, making b the correct answer as it is the only solution where y is directly corresponding to x
Sam worked from 8am to 4pm, for a total 8 hours.
Joe worked from 11 am to 4 pm, for a total of 5 hours.
Combined, they worked 8 + 5 = 13 hours, and earned $156.
That means they earned 156 ÷ 13 = $12 per hour
Sam worked 8 hours, so he should receive 8 * 12 = $96
Joe worked 5 hours, so he should receive 5 * 12 = $60
Answer is $60
Answer:
<em>If two lines are cut by a transversal such that alternate exterior angles are congruent, then the lines are parallel.</em>
Step-by-step explanation:
Start by stating that the given angles are congruent.
Call the angle vertical to angle 1 "angle 3."
Then angle 3 and angle 1 are congruent by vertical angles.
Angle 3 and angle 2 are congruent by transitive congruence of angles.
That makes lines u and v parallel by congruent corresponding angles of two lines and a transversal.
Answer
You can prove the following theorem:
<em>If two lines are cut by a transversal such that alternate exterior angles are congruent, then the lines are parallel.</em>
B. 96 because CORRESPONDING
