Answer:
6 in
Step-by-step explanation:
The <em>area</em> of a picture <em>is</em> 25 7/5 square inches. If the width of the picture is 4 1/2 inches, what is the length? <em>(A=(w)(l) </em>)
Assuming that your "25 7/5 square inches" is not a mistake, then this is equivalent to 26 2/5 square inches.
Converting 26 2/5 sq. in. to an improper fraction, we get 132/5 sq. in., which represents the area of the picture. If the width is 4 1/2 inches, or 9/2 inches, then the length, l, is:
132/5 in^2
l = ------------------
9/2 in
To divide 132/5 in^2 by the fraction 9/2 in, invert 9/2 and multiply:
135 in^2 2
l = -------------- * ------ = 270/9 in = 30/5 in = 6 in
5 9
Answer:
Table of values







<em>See attachment for graph</em>
Step-by-step explanation:
Given

Solving (a): Make a table
Considering the values of x from 0 to 5, we have:
When 

When 

When 

When 

When 

When 

So, we have:







Solving (b): The graph
See attachment
Answer:
Simple interest = PRT/100
300 = 150 x 4 x T/100
2 x 100/4 = T
Therefore T = 50 years
Hope this helps!
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.