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bekas [8.4K]
3 years ago
15

Work out the difference between 77.5 and 2.27.

Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0

Answer:

75.23 is the answer for 77.5-2.27

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An amount of $21,000 is borrowed for 10 years at 3.25% interest, compounded annually. If the loan is paid in full at the end of
Yanka [14]
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>


4 0
3 years ago
Someone please help me with this one quick
astraxan [27]

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>

$\frac{b}{\sin B } =\frac{c}{\sin C}

Substitute the given values in the formula.

$\frac{b}{\sin 89^\circ } =\frac{14}{\sin 61^\circ }

Multiply by sin 89° on both sides.

$\sin 89^\circ \times \frac{b}{\sin 89^\circ } =\frac{14}{\sin 61^\circ } \times \sin 89^\circ

$b=\frac{14}{0.8746 } \times0.9998

b=16

The length of AC is 16 km.

4 0
3 years ago
Determine whether the following is a probability distribution. If not, identify
shutvik [7]

Due to a negative value of P(X = x), it is found that the following is not a probability distribution.

---------------------

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

4 0
3 years ago
What is the initial value of the equation shown?
lapo4ka [179]

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

5 0
3 years ago
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
Vilka [71]

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>

  1. Substitute:                    3x + (x - 2) = 10
  2. Combine like terms:     4x - 2 = 10
  3. Isolate <em>x </em>term:               4x = 12
  4. Isolate <em>x</em>:                        x = 3

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:          y = x - 2
  2. Substitute in <em>x</em>:                           y = 3 - 2
  3. Subtract:                                     y = 1

And we have our answer!

3 0
3 years ago
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