Answer: $2936.27
Step-by-step explanation:
Present value = $1663
Rate = 5.5%
Time(n) = 19years
Future value= PV(1+r)^n
= 1663(1+5.5%)^19
= 1663(1.055)^19
=1663 × 2.766
=4599.86
Interest = Future value - Present value
= $4599 - $1663
= 2936
I’m a failure if you can just say “yes you are” in the comments
Answer:
1793.75 m²
Step-by-step explanation:
Given that :
Total amount of land leased = 2050 m²
Fraction of land given to brother = 1/8
Amount of land given to brother :
1/8 * 2050 = 256.25 m²
Amount of land left :
2050 m² - 256.25 m²
= 1793.75 m²
For get the length of apothem write sin60 = a/4 so sqrt3 /2 = a/4 so a = 4sqrt3 /2
a = 2sqrt3
so area of base = 6(4*2sqrt3)/2 = 6*4sqrt3 = 24sqrt3 unit squared
the lateral area = 4*4*6/2 = 4*2*6 = 48 unit squared
total area = 24sqrt3 +48 = 24(sqrt3 +2) unit squared
hope this will help you
Question 7
<h3>Answer: A) 15</h3>
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Work Shown:
angle B = angle D = 56
angle C = angle F = 64
The missing angle A adds with B and C to get 180
A+B+C = 180
A = 180-B-C
A = 180-56-64
A = 60
Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.
angle E = angle A
3x+15 = 60
3x = 60-15
3x = 45
x = 45/3
x = 15
Side note: I'm not sure why your teacher marked angle E as the same as angles C and F. They should have used another angle marker to indicate that angles A and E are the same.
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Question 8
<h3>Answer: B) 17</h3>
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Work Shown:
Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.
Therefore, we have these three pairings
- angle A = angle E
- angle B = angle D
- angle C = angle F
We'll first need angle C
A+B+C = 180
C = 180-A-B
C = 180-42-108
C = 30
which we'll then solve for x
angle F = angle C
4x-4 = 30
4x = 30+4
4x = 34
x = 34/4
x = 8.5
which doubles to
2x = 2*8.5
2x = 17
