Question Correction
Evelyn packed this box with 1 inch cubes. Which expression does not show how Evelyn can find the volume of the box?
- (A)6+6+6+6+6+6
- (B) 2 X 3 X 6
- (C) 2 + 3 + 6
- (D) 6 X 6
Answer:
(C) 2 + 3 + 6
Step-By-Step Explanation
In the diagram,
- Height = 6 Units
- Length =2 Units
- Width =3 Units
Volume = Height X Length X Width
= 6 X 2 X 3
=36 cubic units
Consider the options:
(A)6+6+6+6+6+6 =36 cubic units
(B) 2 X 3 X 6 =36 cubic units
(C) 2 + 3 + 6 = 11 cubic units
(D) 6 X 6 =36 cubic units
Out of the option, that which is not equivalent to 36 cubic units is:
(C) 2+3+6
Therefore, it does not show how Evelyn can find the volume of the box.
Answer:
The amount of money after 12 years is $19581.99 to the nearest cents
Step-by-step explanation:
The formula of the compound continuously interest is V = P
, where
- V is the value of the account in t years
- P is the principal initially invested
- e is the base of a natural logarithm
- r is the rate of interest in decimal
∵ A person places $7320 in an investment account
∴ P = 7320
∵ The account earning an annual rate of 8.2%, compounded continuously
∴ r = 8.2% ⇒ divide it by 100 to change it to decimal
∴ r = 8.2 ÷ 100 = 0.082
∵ The time is 12 years
∴ t = 12
→ Substitute these values in the formula above to find V
∵ V = 7320
∴ V = 19581.99121 dollars
→ Round it to the nearest cents ⇒ 2 d.p
∴ V = 19581.99 dollars
∴ The amount of money after 12 years is $19581.99 to the nearest cents.
Step-by-step explanation:
i am expecting that total cards is 234
X + x + 2 = 90
2x + 2 = 90
-2. -2
to combine like terms
2x = 88
Divide both sides by 2 to isolate x
x = 44
Answer
A is x+2 = 46
B is x = 44
Total 90 degrees = complementary angle
