Answer:
$341.07
Step-by-step explanation:
Hanna and Dawson both invested at 3.2% = 0.032
Hannah has balance of 31,000 in account
Dawson has balance of 42000 in account
Interests earned by both are
1)Hannah -P(1+i)^-n
=31000(1+0.032)^-1
=31000(1.032)^-1
=31000(0.968992)
=$30038.752
=$30038.75
Interest earned by Dawson is $31,000 - $30038.75 = $961.25
2)Dawson- P(1+i)^-n
=42000(1+0.032)^-1
=42000(1.032)^-1
=42000(0.968992)
=$40697.664
=$$40697.664
Interest earned by Dawson is $42,000 - $40697.66= $1302.32
3) Hence the amount that Dawson earns than is:
=$1302.32-$961.25
= $341.07
Answer:
The total cost
in dollars of going to the baseball game for
people of a family can be given as:

Step-by-step explanation:
Given:
At a baseball game:
Cost of car parking = $5
Cost per ticket = $21
To write an equation in the form of
representing the total cost of going to the baseball game.
Solution:
The total number of people in the family is = 
Using unitary method to find the cost of tickets for
persons.
If 1 ticket costs = $21
<em>Then,
tickets will cost in dollars</em><em> = </em>
Fixed rate for car parking = $5
Thus, the total cost
in dollars of going to the baseball game for
people of a family can be given as:

Answer:
45
Step-by-step explanation:
1/3 of 90
= 1/3 * 90
= 90/3
= 30
Let the missing number be x.
2/3 of x
= 2/3 * x
= 2x/3
30 = 2x/3
Cross multiply,
2x = 30 * 3
2x = 90
x = 90/2
x = 45
Hence,
the missing number is 45.
Answer:
We get x=3 and y=21
The ordered pair will be: (3,21)
Step-by-step explanation:
We need to use the substitution method to solve the system of equations.

For substitution method we substitute the value of x or y from one equation to other.
Let:

Putting value of y from equation 2 into equation 1

So, we get value of x=3
Now, for finding value of y, We substitute the value of x
Find value of x from equation 2

Now, putting value of x in equation 1

So, we get value of y=21
So, We get x=3 and y=21
The ordered pair will be: (3,21)