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Montano1993 [528]
3 years ago
14

Suppose your friend's parents invest $25,000 in an account paying 5% compounded anually. What will be the balance be after 9 yea

rs?
Mathematics
2 answers:
sergey [27]3 years ago
7 0

Answer:

The balance of your friend's parents account will be $38,783.21 cents after 9 years.

Step-by-step explanation:

Year 1: 25,000(1.05)

Year 1: $26,250

Year 2: 26,250(1.05)

Year 2: $27,562.5

Year 3: 27,562.5(1.05)

Year 3: $28,940.625

Year 4: 28,940.625(1.05)

Year 4: $30,387.6563

Year 5: 30,387.6563(1.05)

Year 5: $31,907.0391

Year 6: 31,907.0391(1.05)

Year 6: $33,502.3911

Year 7: 33,502.3911(1.05)

Year 7: $35,177.5107

Year 8: 35,177.5107(1.05)

Year 8: $36,936.3862

Year 9: 36,936.3862(1.05)

Year 9: $38,783.2055

Mamont248 [21]3 years ago
4 0
<h2>Answer:</h2>

$38 783.2

<h2>Step-by-step explanation:</h2>

The equation is:

25 000*1.05^{9}

(1.05 because 5% is 0.05 of the whole)

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1.A bag has 4 green blocks, 3 red blocks, 2 blue blocks, and 1 yellow block. Find the probability of randomly selecting a block
maks197457 [2]

Answer: 1) 7/10  2) 15  3) 240  4) 1/4  5) 4/9  6) 1/20  7) No, not independent

Step-by-step explanation:

1. 4 green+3red+2blue+1yellow = 10 total

if 3/10 are red, then 7/10 are not red. So the second option, 7/10

2. 3 cartons in every 40

40*5 = 200

so do 3*5 = 15

so 15 or the third option

3. 40 out of 110

110*6 = 660

so do 40*6 = 240

so 240 or the fourth option

4.

Flipping heads: 1/2

rolling even: well, there is 2, 4, and 6, or 3 even numbers so 3/6 or 1/2

do 1/2*1/2 = 1/4

so 1/4 or the third option

5. Numbers more than 2: 3, 4, 5, 6 (4 numbers)

4/6 or 2/3 chance the first time, 2/3 chance the second time

do 2/3*2/3 = 4/9

so 4/9 or the second option

6. 5 dishes and 4 desserts

1/5 chance of picking the dish

1/4 chance of picking the dessert

do 1/5*1/4 = 1/20

so 1/20 or the fourth option

7. Since you don’t replace the marble after picking it, it affects the outcome of the second draw. Therefore the events are dependent, or not independent. So the second option.

7 0
3 years ago
Three people pull simultaneously on a stubborn donkey. Jack pulls directly ahead of the donkey with a force of 90.5 N , Jill pul
Radda [10]

Answer:

Fn= 174.9 N : Magnitude of the net force the people exert on the donkey.

Step-by-step explanation:

We find the components of the forces in x-y-z

Force of  Jack in z   =F₁z=90.5 N in direction (+z)

Force of  Jill  in x     = F₂x= -82.3*cos45°= - 58.19 N (-x)

Force of  Jill  in y     =F₂y=-82.3*sin45°=   + 58.19 N (+y)

Force of  Jane  in x  =F₃x=125*cos45°=   + 88.4 N (+x)

Force of  Jane  in y   =F₃y=125*sin45°=   + 88.4  N (+y)

Calculating of the components of the net force the people exert on the donkey.

Fnx= F₂x+F₃x=( - 58.19+ 88.4 )N=30.2N (+x)

Fny= F₂y+F₃y=( 58.19+88.4 ) = 146.59 N (+y)

Fnz =F₁z=90.5 N  (+z)

Calculating of the magnitude of the net force the people exert on the donkey.

F_{n} =\sqrt{(F_{nx})^{2}+(F_{ny}) ^{2} +(F_{nz}) ^{2}   }

F_{n} =\sqrt{(30.2)^{2}+( 146.59) ^{2} +(90.5) ^{2}   }

F_{n} = 174.9 N

7 0
3 years ago
Solve for the missing variables, I know they add up to 360 but where do i start?
iren2701 [21]

Answer:

Step-by-step explanation:

a°=180°-36°=144° b°=180°-113°=67°

a°=144° and b°=67°

144+67=211

36+113=149

149+211=360

3 0
1 year ago
Line XY bisects and is perpendicular to AB and CD. CD = 10 and XY = 24. What is the length of AP?
myrzilka [38]

Answer:

<u>AP = 13</u>

Step-by-step explanation:

See the attached figure.

CD = 10 and XY = 24

Line XY bisects and is perpendicular to AB and CD

∴ XY bisects at Y

∴ CY = 0.5 CD = 0.5 * 10 = 5

And from the geometry of the shape

P is the midpoint of XY

∴ XP = YP = 0.5 XY = 0.5 * 24 = 12

XY is perpendicular to CD

∴ ΔPYC is a right triangle at Y

∴ PC (hypotenuse) = \sqrt{PY^2+YC^2} =\sqrt{12^2+5^2}=\sqrt{144+25} =\sqrt{169} =13

From the figure AP = PC = 13

8 0
3 years ago
Odessa starts counting the frogs in the small pond that the forest service just set up by her house. She marks the data in this
lorasvet [3.4K]

Answer:

B. 2

Step-by-step explanation:

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5 0
3 years ago
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