Answer: $434, 306.4
Step-by-step explanation:
From the information provided,
P= $163,000
R= 14% ; 14/100= 0.14
T=7 years
Using the formula,
A= Pr e^t
A= 163000*e^(0.14*7)
= 163000*e^(0.98)
= $434,306.4
Step-by-step explanation:
∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹
This represents a finite geometric series where n equals 4, a₁ is -144, and r is ½.
S = a₁ (1 − rⁿ) / (1 − r)
S = -144 (1 − (½)⁴) / (1 − ½)
S = -270
If you wish to calculate the infinite sum (n = ∞):
S = a₁ / (1 − r)
S = -144 / (1 − ½)
S = -288
Answer: It’s two trees
Step-by-step explanation:
Given that the city plants a tree every 20 feet along Dayton Avenue, we first need to establish the length of the side that faces Dayton Avenue.
We currently have three sides unaccounted for. However, it’s crucial to note that the side next to Dayton Avenue has the same length as the two unaccounted sides combined. This equivalence holds because both lengths include the 1 feather and 2 feather markers, confirming congruence.
Thus, the sum of both side lengths will be
.
Consequently, the side next to Dayton Avenue measures
feet.
Having determined that this side is 57 feet long, we divide this length by 20 to find the tree planting intervals. Since the planting occurs only in complete 20-foot segments, if the division results in a decimal, we must round down. A tree is only planted if complete segments of 20 feet are reached.

This rounding process gives us 2.
I hope this clarifies!
Answer:
0.03
Step-by-step explanation:
Yes, we all appreciate the copy and paste from Khan Academy
Answer:
Angle x = angle 115°.
Step-by-step explanation:
Given: We have two parallel lines intersected by a transversal.
To find: The value of x.
Solution: Since two parallel lines are intersected by a transversal, corresponding angles, which are a pair lying on the same side of the transversal—one being on the interior and the other on the exterior—are equal.
Thus, angle x = angle 115, being corresponding angles.
Therefore, angle x = angle 115.