The total amount of money accrued ( principal and interest ) in 35 years is $570.78.
<h3>What is the total amount accrued?</h3>
The formula for compound interest is expressed as;
A = P( 1 + r/t )^(n×t)
Given the data in the question;
- Principal P = $200
- Rate r = 3% = 3/100 = 0.03
- Compounded monthly n = 12
- Time t = 35
- Amount accrued in 35 years A = ?
Plug the given values into the equation above.
A = P( 1 + r/n )^(n×t)
A = 200( 1 + 0.03/12 )^(12×35)
A = 200( 1 + 0.0025 )^(420)
A = 200( 1.0025 )^(420)
A = 200( 2.85390914 )
A = $570.78
Therefore, the total amount of money accrued ( principal and interest ) in 35 years is $570.78.
Learn more about compound interest here: brainly.com/question/27128740
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<h3>
Answer: 139.5</h3>
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(55) = 80/x
x*cos(55) = 80
x = 80/cos(55)
x = 139.4757 approximately
x = 139.5
Answer:
x = 6
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 25 when y = 100 , then
100 = 25k ( divide both sides by 25 )
4 = k
y = 4x ← equation of variation
When y = 24 , then
24 = 4x ( divide both sides by 4 )
6 = x
Answer:
Number of games won = 110
Step-by-step explanation:
Given:
Total games played = 154
The ratio of number of games won to number of games lost = 
Solution:
Let the number of games won be = 
Thus, number of games lost = 
The total games played can be given as = 
Thus, we have:
Dividing both sides by 7.
∴ 
So, number of games won = 
Answer:
1) 4x + 4y = -8
x=-2-y
y=-2-x
2) 22 – 2y = 4
y=9
Step-by-step explanation:
