Answer:
There would be 24 dimes and 76 quarters.
Step-by-step explanation:
In order to find this, start by defining the number of dimes by x and the number of quarters as y. Now we can create a system of equations. Make the first about the total number of coins.
x + y = 100
Make the second about the amount of money.
.10x + .25y = 21.40
Now we can solve using elimination by multiplying the second equation by -4 and adding through.
x + y = 100
-.40x - y = -85.60
-----------------------
.60x = 14.4
x = 24
Now we can use the amount of dimes we have to find the number of quarters.
x + y = 100
24 + y = 100
y = 76
Answer:
x=-6
Step-by-step explanation:
Using proportions, it is found that the differential equation which describes the growth of the pigeon population is given by:

<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, considering the initial population and the population one week later, the rate of growth is given by:
k = 9/6 = 1.5.
The standard differential equation for population growth is:

Hence:

More can be learned about proportions at brainly.com/question/24372153
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Answer: $1114.91
Step-by-step explanation:
The formula for compound interest is

Where
A = final amount
P = initial principal balance (1030 for this)
r = interest rate (0.04 for this)
n = number of times interest applied per time period (2 for this)
t = number of time periods elapsed (2 for this)

This rounds up to $1114.91