Answer:
Step-by-step explanation:
The growth rate of the coin is exponential. We would apply the formula for exponential growth which is expressed as
y = ab^x
y = b(1 + r)^ t
Where
y represents the value of the coin after x months.
x represents the number of months.
a represents the initial value of the coin.
b represents rate of growth.
From the information given,
a = 243
b = 1 + 15/100 = 1 + 0.15 = 1.15
Therefore, the exponential expression to determine the number of months, x it will take for the coin to attain a certain value, y is expressed as
y = 243(1.15)^x
If y = 1000, it means that
1000 = 243(1.15)^x
1000/243 = 1.15^x
4.115 = 1.15^x
Taking log of both sides, it becomes
log 4.115 = xlog1.15
0.614 = 0.061x
x = 0.614/0.061
x = 10 months
It will take 10 months
Answer:

Step-by-step explanation:
Start by making the denominators of both fraction the same. This can be done by multiplying one fraction's denominator by the other.
After simplifying and combining the two fractions together, check if the numerator can be factorised such that there is a common factor in the denominator and numerator. In this case, the numerator cannot be factorised.
Lastly, expand the denominator.






You have 2 apples, get 3 more, and then lose 2 of them.
So, you HAVE 2 apples, and if you get 3 more, you can add it to the 2.

In total at the moment, you have 5 apples. Now, you lose 2 more. We can subtract that from our total number of apples.

We now know that you are left with
3 apples.
Number of shirts a department store bought = 200
Cost price of 200 shirts = $5400
Cost price of 1 shirt :


Thus, the cost price of one shirt = $27
Price at which the department store sold each shirt = $30
Which means :
▪︎Cost price of shirt = $27
▪︎Selling price of shrit = $30
Since selling price is greater than cost price, there was a markup in the price of the shirts.
We know that :

Markup percentage in the price of the shirts :





Thus, the percentage of markup = 
Therefore, the percentage of markup in the shirt's price = 
Answer:
(4,-8)
Step-by-step explanation:
Plug in the answers for the equations.