<u>Answer-</u>
He needs to put $10345 in the account today, in order to get 15000 in five years.
<u>Solution-</u>
We know that,

Where,
A = future value of the investment with interest = 15000
P = principal investment amount
r = annual interest rate (decimal) = 7.5% = 0.075
n = number of times that interest is compounded per year = 4
t = the number of years the money is invested = 5
Putting the values,


Step-by-step explanation:
Given the expression that modeled the relationship between these quantities (calories from grams of carbohydrate and the rest of the ingredients) as
4c+5 = 27
From the equation, the constant value of 5 represents the calories in grams of the rest of the ingredients present in the bite.
Let us calculate the value of c from the equation
4c+5 = 27
4c + 5- 5 = 27-5
4c = 22
c = 22/4
c = 5.5
This means that the total calories of carbohydrate the granola bite contains is 4(5.5) i.e 21 calories of carbohydrate
<em>Note that 8 cannot be the solution to the equation because for us to eliminate 5 from both sides of the equation, we need to subtract it from both sides not add. If 5 was added to both sides, the value of c would have been (32/4 i.e 8) which would have been wrong.</em>
Answer:
4/3 of an hour, or 1.33 hours
Step-by-step explanation:
It took Mike 1/3 of an hour to mow 1/4 of the yard. This means when it has been 1 full hour, he would have mowed 3/4 of the yard, because
hour. Because of this, we can multiply 1/3 by 4, because he has to mow 4 parts of his lawn, and he can do 1 part in 1/3 of an hour.
hours
Answer:
3
Step-by-step explanation:
Order of Operations; PEMDAS
Parentheses
Exponents
Multiplication & Division (Left to Right) (ex: 10x2÷5) You would do whatever comes left for Multiplication or Division.
Addition & Subtraction (Left to Right) (ex: 10-2+5) You would do whatever comes left for Addition & Subtraction.
3x+6 =
(9+6=15)
(6x2=12)
(12-15=<u>3</u>)