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4 years ago

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An amount of $28,000 is borrowed for 11 years at 3.75% interest, compounded annually. if the loan is paid in full at the end of

that period, how much must be paid back? use the calculator provided and round your answer to the nearest dollar.

1 answer:

Varvara68 [4.7K]4 years ago

7 0

Amount owing after 11 years = 28,000(1 + 0.0375)^11

= $41,979 to nearest dollar

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Consider a car owner who has an 80% chance of no accidents in a year, a 20% chance of being in a single accident in a year, and

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Answer:

The expected loss for the car owner per year is $750.

Step-by-step explanation:

We are given that a car owner who has an 80% chance of no accidents in a year, a 20% chance of being in a single accident in a year, and no chance of being in more than one accident in a year.

Let X = Loss for the particular year for a car owner

Now as we know that the loss to the car owner may be of $0, $500, $5,000 or $15,000 because these amount he has to pay as a part of repair cost if his car met with an accident.

So, the probability distribution of X is given by;

X (Amount of Loss) P(X)

$0 0.80

$500 (0.20)(0.50) = 0.10

$5,000 (0.20)(0.40) = 0.08

$15,000 <u> (0.20)(0.10) = 0.02 </u>

Total <u> 1 </u>

Here, the probability of (0.20)(0.50) means that for the loss of $500, first the car must have to met with an accident and then there is 50% chance that after the accident the car will need repairs costing $500.

Now, the expected loss for the car owner per year is = $\sum (X \times P(X))$

$\sum (X \times P(X))$ = $(0 \times 0.80) + (500 \times 0.10)+(5,000 \times 0.08)+(15,000 \times 0.02)$

= 50 + 400 + 300 = $750.

So, the expected loss for the car owner per year is $750.

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3 years ago

What number must you add to complete the square x^2+12x =16

Nookie1986 [14]

Answer:

D. 36

Step-by-step explanation:

The square of half the x-coefficient must be added. That value is (12/2)² = 36.

_____

You're trying to create a trinomial of the form ...

... (a + b)² = a² +2ab +b²

where a = x, and 2b = 12.

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3 years ago

What is the slope of the line that passes through the points (3, 2) and (-1, 2)?

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Answer:its undefined

Step-by-step explanation:

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3 years ago

Pls help! <br> and a reason.

Rasek [7]

Answer:

$\angle BDA = 72^{\circ}$

$\angle DAB = 36^{\circ}$

$\angle BDC = 108^{\circ}$

$\angle BCD = 36^{\circ}$

$\angle DBC = 36^{\circ}$

Step-by-step explanation:

Given

$\angle ABD = 72^{\circ}$

Required

Determine the missing angles

Since AB = AD, then:

$\angle ABD = \angle BDA$ --- Base angles of an isosceles triangle

Hence:

$\angle ABD = \angle BDA = 72^{\circ}$

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$72^{\circ} + 72^{\circ} + \angle DAB = 180^{\circ}$

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Collect Like Terms

$\angle DAB = 180^{\circ} - 144^{\circ}$

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$72^{\circ} + \angle BDC = 180^{\circ}$

$\angle BDC = 180^{\circ} - 72^{\circ}$

$\angle BDC = 108^{\circ}$

Since ABC is isosceles, then:

$\angle DAB = \angle BCD = 36^{\circ}$ --- base angle of isosceles

$\angle BCD = 36^{\circ}$

Lastly:

$\angle BCD + \angle BDC + \angle DBC = 180^{\circ}$

$36^{\circ} + 108^{\circ} + \angle DBC = 180^{\circ}$

$\angle DBC = 180^{\circ} - 36^{\circ} - 108^{\circ}$

$\angle DBC = 36^{\circ}$

<em>See attachment</em>

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