Answer:
Step-by-step explanation:
Simple interest rate applies only to the principal amount deposited and not the compounded amount. The formula for simple interest is expressed as
I = PRT/100
Where
I is the interest.
P is the principal or initial amount deposited.
R is the interest rate.
T is the duration in years.
From the information given,
P = $300.00
R = 5 1/4% = 5.25%
T = 6 months = 0.5 years
Therefore,
I = (300×5.25× 0.5)/100 =787.5/100
I = 7.875
The balance in the account at the end of this time will be
300 + 7.875 = $307.875
Answer:
There are 24 squares
Step-by-step explanation:
By taking the small triangles and connecting them to make squares and adding those to the number of squares already there there are 24 squares in total.
<span>f(x) = 5x+1
f(-4) = 5(-4) + 1 = -20 + 1 = -19
hope that helps
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Answer:
4.41 feet per second.
Step-by-step explanation:
Please find the attachment.
We have been given that a man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. We are asked to find how fast must he let out the string when the kite is flying on 34 ft. of string.
We will use Pythagoras theorem to solve for the length of side x as:



Now, we will use Pythagorean theorem to relate x and y because we know that the vertical side (16) is always constant.

Let us find derivative of our equation with respect to time (t) using power rule and chain rule as:

We have been given that
,
and
.





Therefore, the man must let out the string at a rate of 4.41 feet per second.
Because 28 is divisible by 4 ( because 28÷4=7), we have 4/9 = 28/63;
The correct answer is 28.