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Log75+2log2-log3
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Shantle and Kwamie are planning to buy their first home. Although they are excited about the prospect of being homeowners, they
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Find the monthly payment.
Mortgage amount Annual percentage rate 2. $146,800 5.25% 30 years 4. $113,400 5% 15 years 6. Find the
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In interviewing November's statement she notices that her beginning balance was $600 and that she made a $200 payment on
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If you purchase a fishing boat for 18 monthly payments of $106 and an interest charge of $238, how much is the refund after 10
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Find the discount (ordinary interest) and proceeds on a promissory note for $2,000 made by Barbara Jones on February 10, 2007,
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Find the annual percentage rate on a loan of $1,500 for 18 months if the loan requires $190 interest and is repaid monthly.
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Malinda Levi borrows $12,000 on a 9.5% , 90 day note. On the 30th day, Malinda pays $4,000 on the note. If ordinary interest is
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The finance charge on a copier was $1,778. The loan for copier was to be paid in 18 monthly payments. Find the finance charge
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Alice Dubois was charged $455 in finance charges on a loan for 15 months. Find the finance charge refund if she pays off the
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Answers (63)
(a) R = 15p (b) C = 55 + 4p (c) Revenue [5*15]= $75 Variable cost [5*4]= $20 contribution 55 fixed cost -55 Net profit. 0 (d) 15p = 55 + 4p 11p = 55 p = 5 pizzas break-even Profit = revenue - cost 15(500)-4(500)-55 = $5445 Sell 500 pizzas $5445 (e) profit
2x-1 -2/(4x+1)
FV = 2800e^(.055*12) FV = 2800e^(.66) = 5417.42
Yes there is enough evidence to support---- T = (16-15.6)/(.3/sqrt(8)) df = n-1 df = 8-1 = 7 critical t value = 1.895
P(Casper) = .4 P(Denver) = .3 P(Casper u Denver) =0.27 P(Casper|Denver) P(Casper u Denver)/ P(Denver) = .27/.3 = 0.9
M C. D. Total Ma. 3. 6. 2. 11 Fe. 7. 4. 8. 19 Tot. 10. 10. 10. 30 P(Chim or Dog) = P(Chim) + P(Dog) -P(0) 10/30 + 10/30 -0 = 20/30 = 2/3
2.1(-1.2x+2.3y-1.1) = -2.52x + 4.83y -2.31
Three weeks is 7*3= 21 cars In week four is 11* 1 = 11 cars Add/n (21+11)/4 32/4 = 8
Let Angela needs n flower bulbs for an area measuring 230 square inches. n/230= 1/5 n= 230/5=46 Anglela needs 46 flower bulbs
a. The standard error of the sample mean is 4.564/sqrt(36) = 0.7607 b. yes The mother's mean age student birth lie in interval (28.358, 30.928)
z = (186.3-200)/(30/sqrt(9)) z = -1.37, you can use your table
a= x b = x+7 c = 13 x^2 + (x+7)^2 = 13^2 = x^2 + x^2 +7x +7x + 49 = 169 = 2x^2 + 14x + 49 = 169 = 2x^2 + 14x + 49 -169= 169-169 = 2x^2 + 14x -120 = 0 = x^2 +7x -60 = 0 (x -5)(x+12)= 0 x = 5 x = -12 ignored when it is negative a= 5 b = 12
315.10 -239.95 = $75.15
For an inscribed n-gon, circle radius is r A = (r^2 *n sin(2pi/n))/2 For the circumscribed n-gon A = r^2 *n tan(pi/n)
Down-hill =20% Cross-country =15% In down-hill and cross-country (20%)(40%) = 0.08
z = (300-300)/(39/sqrt(700)) z = (378-300)/(39/sqrt(700))
There are 12C3 = 220 ways, group of 3 people from 12 There are 9C3 = 84 ways, none of the three oldest. 220-84 = 136 groups where at least one member is 3 oldest. 136/220 = 0..618
Let l be 2x -7 w = x A = lw 72 = (2x-7)x 72 = 2x^2 -7x 2x^2 -7x -72 =0 (2x+9)(x-8) = 0 x -8 = 0 x = 8 l = 2x-7 l = 2(8) -7 l = 16-7= 9 L = 9 m and w =8 m
Direct labor rate variance (AR-SR)AH (11.6-12)(7500) = $ 3,000 favorable
=24x^6/4x^3- 12^3/4x^3 = 6x^3. -3
I = prt I = 6510(0.0325)(5)
Past year units 6552000/(600-444) = 42000 units Coming year units 655200/ (600-450) = 43680 units
60000/(105-70) 60000/35 = 1714.29 0r 1714 units
Margin units = 32-20 = 12 Fixed cost = 240000 break-even = 240000/12 = 20000 Margin units = 36-20 = 16 Fixed cost = 240000 New break-even = 240000/16 = 15000 20000 units and 15000 units
f(x) = 3e^x -2x^2 + c 10 = 3e^0 -2(0)^2+ c 10 =3-0+ c 7= c F(x) = 3e^x -2x^2 + 7
-2 = (-2/3)(-6) + b -2 = 4 + b -2-4 = 4-4 +b -6 = b m = -2/3 y = mx + b y = -2x/3 +(-6) y = -2x/3 - 6
If 3x^y 2. -24x^2+y
= x + 2y + 6x^2-12xy+8x = 6x^2 +9x + 2y -12xy
= 2x -y +14x^2-7xy +10x = 14x^2 +12x -y -7xy
1. 1/x^2 y
=(-2)^2 y^1 * (3x^3) = 4(3)y^2 x^3 =12y^2 x^3
mean = (6+15+7+14+11+ 13 + 15 +15)/8 = 12 Median: arranged number from smallest to largest 6 7 11 13 14 15 15 15 Median: (13+14)/2 = 27/2 =13.5 Mode: 15
=3(8x^2 +14x +5) =3(2x + 1)(4x +5)
=5√3 - √49*2 + √16*3 + 6√2 =5√3 -7 √2+ 4√3+ 6√2 = 9√3 - √2
3(8x^2 + 14x +5) = 3(2x + 1)(4x + 5)
-(6x-1)(36x^2 +6x +1)
√25*2 = 5√2
5√3 -7 √2+ 4√3+ 6√2 9√3 - √2
y = -x +2 x^2 + (-x +2)^2 = 34 x ^2 + x^2 -2x -2x +4 = 34 2x^2 -4x + 4 = 34 2x^ -4x + 4 -34 = 34-34 2x^2 -4x - 30 = 0 2(x^2 -2x -15) =0 2(x-5)(x+3) =0 x -5 =0 x =5 x+ 3 = 0 x =-3 y = -3 ,5 (5,-3), (-3,5)
(300000-30000)/(31-22) = 30000 units
Break-even = 250000/(125-73) = 250000/52 = 4808 units
12500
16x^2 /9y^2
Income from operation $78,000
a) Sales =$ 1,800,000 Variable costs = 1,080,000 Contribution margin = $720,000 contribution margin ratio = 720000/1800000 = 40% b) sales = $900,000 contribution margin ratio 32% contribution margin = 288000 less fixed cost = 210000 Income from operation =
a) unit margin = 80-55 =25 break-even = 740000/25 = 29600 units b) (740000+140000)/25 = 880000/25 = 35200
a) unit margin =110-80 = 30 Fixed cost =345000 Break-even = 345000/30 = 11500 units b) new break-even = 345000/40 = 8625 units
y-intercept of the linear regression is 2.07.
f'(x) =e^x -(e^-x))/2
1. (2)(3)x^1+3 = 6x^4 2. (4)^3 x^1*3 y^2*3 = 64x^3y^6
