Step-by-step explanation:
The initial image of the photo is 2 in by 4 in. The mat is 4 in by 6 in.
The new image is dilated by a scale of 2. So we double the dimensions. The new photo is 4 in by 8 in. The new mat is 8 in by 12 in.
After 6 years the investment is $5555.88
Step-by-step explanation:
A principal of $3600 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 6 years?
The formula used to find future value is:

where A(t) = Accumulated amount
P = Principal Amount
r = annual rate
t= time
n= compounding periods per year
We are given:
P = $3600
r = 7.5 %
t = 6
n = 1
Putting values in formula:

So, After 6 years the investment is $5555.88
Keywords: Compound Interest formula
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Answer:
Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft
Step-by-step explanation:
The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.
Depression triangle
The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,
using tangential ratio
tan 35° = opposite/adjacent
tan 35° = a/8
cross multiply
a = 8 tan 35°
a = 8 × 0.70020753821
a = 5.60166030568
a = 5.602 ft
Elevation triangle
The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.
tan 20° = opposite/adjacent
tan 20° = b/8
cross multiply
b = 8 tan 20°
b = 8 × 0.36397023426
b = 2.91176187413
b = 2.912 ft
Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft
Answer:
<em>c. It is a segment that connects two distinct points on a circle.</em>
Step-by-step explanation:
c. It is a segment that connects two distinct points on a circle.
Answer:
0.105 = 10.5% probability that an accident results in a death.
Step-by-step explanation:
What is the probability that an accident results in a death?
5% of 60%(sunny)
25% of 20%(foggy)
12.5% of 20%(rainy)
So

0.105 = 10.5% probability that an accident results in a death.