Answer:
1. y = -x + 3
2. y = x - 3
3. y = 3x + 1
4. y = -3x - 3
Step-by-step explanation:
Hello! sorry, I just saw your message on the question I answered before asking for help so here you go, these are the answers, hope this helps.
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Answer: the length of each of the two equal sides is 25 centimeters
Step-by-step explanation:
Let x represent the length of each of the two equal sides. This means that the total length of the two longer sides is 2x.
Let y represent the length of the third side.
The perimeter of a triangle is expressed as the sum of the length of each side of the triangle. The perimeter of the isosceles triangle is 65 centimeters. It means that
2x + y = 65 - - - - - - - - - 1
Each of the equal sides is 10 centimeters longer than the third side. This means that
x = y + 10
Substituting x = y + 10 into equation 1, it becomes
2(y + 10) + y = 65
2y + 20 + y = 65
2y + y = 65 - 20
3y = 45
y = 45/3 = 15
Substituting y = 15 into x = y + 10, it becomes
x = 15 + 10 = 25
Answer:
Step-by-step explanation:
Simplify:
Move 5c to the other side:
Divide bother sides with AC:
Simplify:
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1/4
There are 100 pence in a pound, so 2 pounds is 200 pence. 50 is 1/4 of 200.
1. The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ
Where:
A = the future value = ?
P = the principal investment amount = $2000
r = interest rate = 4%
n = the number of times that interest is compounded per year = 4
x = the number of years = 5
Calculations:
A = 2000 (1 + 0.04/4)²⁰
A = 2000 (1 + 0.01)²⁰
A = 2000 (1.01)²⁰
A = 2000 ₓ 1.22
A = $2440.38
2. The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ
Where:
A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 48%
n = the number of times that interest is compounded per year = 12
x = the number of years = 2
Calculations:
A = 50 (1 + 0.48/12)²⁴
A = 50 (1 + 0.04)²⁴
A = 50 (1.04)²⁴
A = 50 ₓ 2.56
A = $128.16
3. The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ
Where:
A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 4%
n = the number of times that interest is compounded per year = 12
x = the number of years = 3
Calculations:
A = 50 (1 + 0.04/12)³⁶
A = 50 (1 + 0.003)³⁶
A = 50 (1.003)³⁶
A = 50 ₓ 1.12
A = $56.36
