The formula for total loan cost is attached.
10 years = 120 payments
MONTHLY Interest = .0325 / 12 =
<span>
<span>
<span>
0.0027083333
</span>
</span>
</span>
total = <span>0.0027083333 * 21,000 * 120 / (1-(1</span><span><span>.0027083333)-120
</span>
</span>
total = 6,825 / (1-
<span>
<span>
<span>
0.7228448406
</span>
</span>
</span>
)
total = 6,825 /
<span>
<span>
<span>
0.2771551594
</span>
</span>
</span>
total =
<span>
<span>
<span>
24,625.20
</span>
</span>
</span>
The length of AC is 16 km.
Solution:
Given data:
AB = c = 14 km, ∠A = 30° and ∠B = 89°
AC = b = ?
<u>Let us first find angle C:</u>
<em>Sum of all angles in a triangle = 180°</em>
m∠A+ m∠B + m∠C = 180°
30° + 89° + m∠C = 180°
119° + m∠C = 180°
Subtract 119° from both sides, we get
m∠C = 61°
<u>To find the length of AC:</u>
<em>Using sine formula:</em>
Substitute the given values in the formula.
Multiply by sin 89° on both sides.
The length of AC is 16 km.
Due to a negative value of P(X = x), it is found that the following is not a probability distribution.
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A sequence (x, P(X = x)) is a probability distribution if:
- The sum of all values of P(X = x) equals 1.
- There is no negative values of P(X = x).
In this problem, P(X = 2) is negative, thus, it is not a probability distribution.
A similar problem is given at brainly.com/question/24224213
Answer:
-5
Step-by-step explanation:
The initial value would be the value when x=0. Substituting 0 for x,
y = -2(0)-5
y = 0 - 5
y = -5
Answer:
(3, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
3x + y = 10
y = x - 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: 3x + (x - 2) = 10
- Combine like terms: 4x - 2 = 10
- Isolate <em>x </em>term: 4x = 12
- Isolate <em>x</em>: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x - 2
- Substitute in <em>x</em>: y = 3 - 2
- Subtract: y = 1
And we have our answer!
