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vovikov84 [41]
3 years ago
14

A $104.000 selling price with $24.000 down at 81/2% for 25 years results in monthly payments of

Mathematics
2 answers:
Vinil7 [7]3 years ago
4 0
 The monthly payment would be $289.33

$104,000 - $24,000 = $80,000
$80,000 x %8.5 interest = $6,800
$80,000 + $6,800 = $86,800  (total being paid back)
12 (total of months in a year) x 25 (number of years) = 300
Divide $86,800 by 300 and your monthly payment is $289.33
aksik [14]3 years ago
3 0
Pv=104,000−24,000=80,000
Now use the formula of the present value of annuity ordinary
Pv=pmt [(1-(1+r/k)^-kn)/(r/k)]
Solve for pmt
Pmt= ?
Pv=80000
R 8+1/2=8.5%
K monthly 12
N 25 years
Plug in the formula above then solve for pmt

Pmt=80,000÷(((1−(1+0.085÷12)^(
−12×25))÷(0.085÷12)))=644.18
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The data below gives the mean price (in cents) of a liter of regular gasoline at self-service filling stations at a sample of si
bogdanovich [222]

Answer:

135.05 ; 2.762 ; (133.201, 136.899) ; (132.840, 137.260)

Step-by-step explanation:

Given the data:

Urban area Price/liter

St. John, NL 137.1

Halifax 133.6

Montreal 136.2

Regina 132.3

Saskatoon 132.2

Yellowknife 138.9

Mean = (137.1 + 133.6 + 136.2 + 132.3 + 132.2 + 138.9) / 6

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Standard deviation (σ) : √Σ(X - mean)²/n-1

(137.1 - 135.05)^2 + (133.6 - 135.05)^2 + (136.2 - 135.05)^2 + (132.3 - 135.05)^2 + (132.2 - 135.05)^2+ (138.9 - 135.05)^2 = 38.135

√(38.135 / (6 - 1))

= √7.627

= 2.7617023

= 2.762

C.)

90% confidence interval of the mean :

Mean ± Zcrit * σ/√n

Zcrit at 90% = 1.64

135.05 ± 1.64 * (2.762/√6)

135.05 ± 1.64 * 1.1275817

Lower Value = (135.05 - (1.64 * 1.1275817)) = 133.201

Upper Value = (135.05 + (1.64 * 1.1275817))) = 136.899

Confidence interval = (133.201, 136.899)

D.)

95% confidence interval of the mean :

Mean ± Zcrit * σ/√n

Zcrit at 95% = 1.96

135.05 ± 1.96 * (2.762/6)

135.05 ± 1.96 * 1.1275817

Lower Value = (135.05 - (1.96 * 1.1275817)) = 132.840

Upper Value = (135.05 + (1.96 * 1.1275817)) = 137.260

Confidence interval = (132.840, 137.260)

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