Answer:
The amount of change in the balance of the account is an increase of $3160.57.
Step-by-step explanation:
i) first deposit is given as $1250
ii) second deposit is given as $3040.57
iii) first withdrawal is given as $400
iv) second withdrawal is given as $400
v) third withdrawal is given as $400
vi) first penalty removed is $35
vii) second penalty removed is $35
viii) therefore the change to the balance is given by
$1250 + $3040.57 - $400 - $400 - $400 + $35 + $35 = $3160.57
viii) Therefore the amount of change in the balance of the account is an increase of $3160.57.
Answer: the final mass of the solid is 176 grams.
Step-by-step explanation:
The "change" between two quantities, one initial Qi and one final Qf is defined as:
Change = Qf - Qi.
In this case, the quantity is mass, and we know that the initial mass is 260 grams.
And we also know that the change is -84 grams.
Then we have the equation:
Qf - 260 g = -84g
Qf = -84g + 260g = 176g
So the final mass of the solid is 176 grams.
The numbers are 3 and 18
Step-by-step explanation:
- Step 1: Let one number be x. Then the other number = 6x.
Also, 6x = 12 + 2x
⇒ 4x = 12
⇒ x = 3
⇒ 6x = 18
Answer: Exactly square root 58 inches
Step-by-step explanation: The dimensions given for the right angled triangle are 7 inches and 3 inches respectively. The third side is yet unknown. However what we know is that a right angled triangle can be solved by using the Pythagoras theorem which states that,
AC^2 = AB^2 + BC^2
Where AC is the longest side. The question requires us to calculate the longest side and with the other two sides already known, the Pythagoras theorem now becomes,
AC^2 = 7^2 + 3^2
AC^2 = 49 + 9
AC^2 = 58
Add the square root sign to both sides of the equation
AC = square root 58 inches
