Answer:
315/8 GIVES 39.375.
But 35.375 Is actually a rational number,because it is terminating after 3 decimal places.
Hence its not a rational number
Answer: the value of the account after 10 years is $2606
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
P = 1800
r = 3.7% = 3.7/100 = 0.037
t = 10 years
Therefore,
A = 1800 x 2.7183^(0.037 x 10)
A = 1800 x 2.7183^(0.37)
A = $2606 to the nearest dollar
Answer:
1.6 cups
Step-by-step explanation:
Each batch needs 0.4 cups of sugar, and she is making 4 batches. Therefore, we can multiply 0.4 times 4 to find how much sugar is needed.
0.4*4=1.6
So, she needs 1.6 cups of sugar for 4 batches
Answer:
11.9 feet
Step-by-step explanation:
We want to find the value of 'x' and we are asked to set up an equation to find the value of x. In equation we must remember to get all the numerical values to one side and all the non-numerical values to the other while remembering to keep the equation balanced for example if we add 4 on one side we must do it to the other side to keep the equation balanced so,
→ x + 5.2 + 11.1 + 6.4 = 34.6
⇒ Simplify equation
→ x + 22.7 = 34.6
⇒ Minus 22.7 from both sides to isolate x
→ x = 11.9 feet