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Alexus [3.1K]
3 years ago
5

1.) how much will $5000 be worth in 5 years if it is compounded continuously at 3% interest.

Mathematics
1 answer:
Nady [450]3 years ago
5 0

Answer:

$5809.17

$6149.01

$2211.72

Step-by-step explanation:

Continous interest formula:

(pv)e^(rt)

we have

5000e^(5*.03)= 5809.17

Same equation from before

2500e^(.09*10)= 6149.01

2000e^(.0575*(21/12))

(we write 21/12 because that's how many years has passed)

= 2211.72

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A collection of nickels and dimes is worth $9.45. If the number of dimes is doubled, the value is
eduard

Answer:

The number of nickels is 45 and the number of dimes is 72.

Step-by-step explanation:

Let

x ----> number of nickels

y ----> number of dimes

Remember that

1\ nickel=\$0.05

1\ dime=\$0.10

so

0.05x+0.10y=9.45 ------> equation A

0.05x+0.10(2y)=16.65

0.05x+0.20y=16.65 ------> equation B

<em>Solve the system by substitution</em>

we have

0.05x+0.10y=9.45 ------> equation A

0.05x+0.20y=16.65 ------> equation B

Multiply both equations by 100 both sides

5x+10y=945 ---->5x=945-10y --> equation C

5x+20y=1,665 ----> equation D

substitute equation C in equation D

(945-10y)+20y=1,665

solve for y

945+10y=1,665

10y=1,665-945

10y=720

y=72\ dimes

Find the value of x

5x=945-10y

5x=945-10(72)

5x=225

x=45\ nickels

<em>Alternative Method</em>

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is the point (45,72)

therefore

The number of nickels is 45 and the number of dimes is 72.

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3 years ago
How to solve this problem
PolarNik [594]
X- 6/4=7
x-6=7×4
x-6=28
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Single quadrant ordered pairs
Marianna [84]

Answer:

this four sections are called the quadrants

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George does not like the fact that his neighborhood makes it mandatory to pay a yearly fee to use the pool. He conducts a survey
murzikaleks [220]

Answer:

I would pick the letter C

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
WILL MARK BRAINLEIST PLEASE HELP HURRY
Zina [86]

Answer:

Hello, Your answer will be D.

Step-by-step explanation:

The data is symmetric for Shop A but not for Shop B ( note the values 10 and 11 for Shop B which are a lot lower than the other values).

Mean for Shop A and Median for Shop B. <u><em>Have a Great Day!</em></u>

7 0
3 years ago
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