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meriva
3 years ago
5

Nancy plans to deposit $1,000 quarterly for 35 years at 8.25% Interest, compounded monthly. How much will she

Mathematics
1 answer:
melomori [17]3 years ago
4 0

Answer:

$17,771.92

Step-by-step explanation:

A = P (1 + r/n)^nt

A = Future value (the answer you're trying to find)

P = Initial deposit ($1000)

R = Interest rate (8.25%; this will be represented as a decimal in the equation (.0825))

N = # of times interest is compounded per unit t (12)

T = Time (35)

35 * 12 = 420

1000 (1 + .0825/12)^420

1000(1.006875)^420

1000*17.77191635

A = $17,771.92 (rounded to the nearest hundredths)

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Please assist me with these problems​
Alex73 [517]

Answer:

1) $350

2) 55°

3) $300

Step-by-step explanation:

1) The total cost is the cost of the appointment plus the cost of the repair work.  The appointment costs $50.  The repair work costs $120 per 2 hours.  So the total cost is:

C = 50 + (120/2) t

C = 50 + 60t

For 5 hours of work, the cost is:

C = 50 + 60(5)

C = 350

It costs $350.

2) The temperature starts at 70°.  It drops 10° in 4 hours.  So the temperature after t hours is:

T = 70 + (-10/4) t

T = 70 − 2.5t

After 6 hours:

T = 70 − 2.5(6)

T = 55

The temperature is 55°.

3) Jennie's total pay is her weekly pay plus her commissions.  If her commission is x% of her sales, then her pay is:

P = 250 + (x/100) S

When her sales is $1000, her pay is $275.

275 = 250 + (x/100) 1000

275 = 250 + 10x

25 = 10x

x = 2.5

So her pay is:

P = 250 + (2.5/100) S

When S = $2000:

P = 250 + (2.5/100) 2000

P = 250 + 50

P = 300

Her total pay is $300.

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3 years ago
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nydimaria [60]

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Step-by-step explanation:

4 0
3 years ago
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the profit for a taco truck business follows this function, where x is the price of a taco(in dollars) and y is the daily profit
Sati [7]

Answer:

x = √2 + 2, -√2 + 2

Step-by-step explanation:

y = -2(x-2)² + 4

-2(x-2)² + 4 = 0 --- replace y with 0

-2(x - 2)² = -4 --- subtract 4 from both sides

(x - 2)² = \frac{-4}{-2} --- divide both sides by -2

(x - 2)² = 2 --- simplify

x - 2 = +-√2 --- square root both sides

x - 2 = √2 --- split into 2 equations

x - 2 = -√2

x = √2 + 2 --- solve first equation

x = -√2 + 2 --- solve second equation

x = √2 + 2, -√2 + 2


4 0
3 years ago
Read 2 more answers
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Slav-nsk [51]

Answer:

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3 0
3 years ago
720 m/day = m/min <br> Show work.
geniusboy [140]
The answer is 30 because a day is 24 hours so all I did was divide 720 and 24 and it gave me 30. I’m glad that I helped
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