You have $22 in your bank account and deposit $11.50 each week. At the same time your cousin has $218 but is withdrawing $13 each week. When will your accounts have the same balance? (Hint: Write a system for the situation and solve)
Answers
After 8 weeks your accounts have the same balance.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
You have $22 in your bank account and deposit $11.50 each week.
And, At the same time your cousin has $218 but is withdrawing $13 each week.
Let after x weeks your accounts have the same balance.
Hence, We can formulate;
⇒ $22 + $11.50x = $218 - $13x
Solve for x as;
⇒ 22 + 11.50x = 218 - 13x
⇒ 13x + 11.50x = 218 - 22
⇒ 24.50x = 196
⇒ x = 196 / 24.50
⇒ x = 8
Learn more about the mathematical expression visit:
#SPJ2
Cousin = 218 - 13w
it wants to know what w equals when You = Cousin
or
22 + 11.50w = 218 - 13w
first we can add 13w to both sides
24.50w + 22 = 218
then we can subtract 22 from both sides
24.50w = 196
then we divide both sides by 24.50
so
w = 196 / 24.50 = 8
therefore it would take 8 weeks for the accounts to have the same balance
Related Questions
Bob and sarah need to paint a fence. bob can paint the fence in 4 hours and sarah can paint the fence in 2.5 hours. if they work together, how long will it take them to paint the fence?
the length and width of a rectangular room are measured to be 3.955 plus-or-minus 0.005 m by 3.050 plus-or-minus 0.005 m. what is the area of the room and its uncertainty in square meters?
What is the area, in square, of the rectangle?Sides 2 ---- 9 Top and bottom 3 ---- 7
What are the roots of 12x = 9 + 5x2?
Answers
Answer:
Step-by-step explanation:
Center of the circle is (0,0)
the point on the circle is (4,5)
Center radius form of the circle is
where (h,k) is the center and 'r' is the radius of the circle
WE know center is (0,0) . Lets find out the radius using the given point
Plug in the given point (4,5)
Equation becomes
General form of equation is
Radius= √((4-0)²+(5-0)²)=√41
Equation of the circle : x²+y²=41
Answers
Answer:
The answer is: 1.99<h<2.37
Step-by-step explanation:
The procedure is as followed
V=πr^2h
225=π(5.5)^2h
h=2.37
225=π(6)^2h
h=1.99
u = 1
a = 3
t = 1/2
Work out the value of v.
Answers
Answer:
Step-by-step explanation:
First, substitute the variables with the given values.
turns into
First, multiply what is in the parentheses
Turn 1 into a fraction over 2 by multiplying 1 by 2 and using it as the numerator
Add
Answers
8z+3-2z<51
Collect like terms.
6z+3<51
Move constant to the right side and change its sign.
6z<51-3
Subtract the numbers.
6z<48
Divide both sides of the inequality by 6.
z < 8
Answers
Answer:
2
Step-by-step explanation:
figure 1 had 6
figure 2 had 10
figure 3 had 14
so 6-4=2