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Musya8 [376]
3 years ago
10

in 2001 John makes an investment investment and $50,000 decreases in value of the rate of 2.5% per year write an exponential fun

ction to find the value of the investment in 2010
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
5 0

Answer:

$39811.77

Step-by-step explanation:

If we put y as the unit of year, the function will be 50000x0.975^y (100%-2.5% is 97.5%). And so from 2001 to 2010, nine years has passed, so the equation will be 50000x0.975^9 And if you calculate and round the answer to the nearest hundredth (cent), you will find $39811.77.

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Jason went to the post office and bought both 41-cent stamps and 26-cent postcards and spent $10.28. The number of stamps was 4
Charra [1.4K]
<h3>Jason bought 20 stamps of $0.41 each and 8 postcards of $0.26 each.</h3>

<em><u>Solution:</u></em>

Let stamps be s and postcards be p

Given that,

The number of stamps was 4 more than twice the number of postcards

s = 4 + 2p -------- eqn 1

Jason bought both 41-cent stamps and 26-cent postcards and spent $10.28

41 cent = $ 0.41

26 cent = $ 0.26

Therefore,

s \times 0.41 + p \times 0.26 = 10.28

0.41s + 0.26p = 10.28 --------- eqn 2

Substitute eqn 1 in eqn 2

0.41(4 + 2p) + 0.26p = 10.28

1.64 + 0.82p + 0.26p = 10.28

1.08p = 10.28 - 1.64

1.08p = 8.64

Divide both sides by 1.08

p = 8

Substitute p = 8 in eqn 1

s = 4 + 2(8)

s = 4 + 16

s = 20

Thus Jason bought 20 stamps and 8 post cards

8 0
3 years ago
Find the equation of the line The line has a slope of 1.3 and passes through the point (-2.3, -3.2)
irga5000 [103]

Answer:

y=1.3 x - 0.21

Step-by-step explanation:

y = (slope) \times x + (constant)

set (-2.3,-3.2) in above

- 3.2 = 1.3 \times ( - 2.3) + c

then c=-0.21

3 0
3 years ago
64% of US adults have very little confidence in newspapers you randomly select 10 US adults find the probability that the number
9966 [12]

Answer:

A) 0.1636

B) 0.7292

C) 0.0305

Step-by-step explanation:

This is a binomial probability distribution question that follows;

P(X = x) = nCx × p^(x) × q^(n - x)

In this case, p = 64% = 0.64

q = 1 - p = 1 - 0.64 = 0.36

Thus;

A) P(exactly 5) = P(5) = 10C5 × 0.64^(5) × 0.36^(10 - 5) = 0.1636

B) P(at least 6) = P(x ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)

P(6) = 10C6 × (0.64^(6)) × (0.36^(10 - 6)) = 0.2424

P(7) = 10C7 × (0.64^(7)) × (0.36^(10 - 7)) = 0.2462

P(8) = 10C8 × (0.64^(8)) × (0.36^(10 - 8)) = 0.1642

P(9) = 10C9 × (0.64^(9)) × (0.36^(10 - 9)) = 0.0649

P(10) = 10C10 × (0.64^(10)) × (0.36^(10 - 10)) = 0.0115

Thus;

P(x ≥ 6) = 0.2424 + 0.2462 + 0.1642 + 0.0649 + 0.0115

P(x ≥ 6) = 0.7292

C) P(x < 4) = P(0) + P(1) + P(2) + P(3)

From online binomial probability calculator, we have;

P(x < 4) = 0.0305

5 0
3 years ago
The value of a car decreases by 15% for each year the car is leased. If the original price of
Alenkasestr [34]

Answer:

Around 7830 dollars

Step-by-step explanation

Times 15,000 by 0.85, you'll get 12,750. Times each product by 0.85 and you'll get around 7830 dollars

6 0
3 years ago
What is the anwser to 3(x-4)=12x
e-lub [12.9K]

Answer:

x=-4/3

Step-by-step explanation:

3x-12=12x

3x-12x=12

-9/-3=12/-3

then -3 cancels

3x/3=-4/3

then 3 cancels 3

so x=-4/3

5 0
3 years ago
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