Answer:
The perimeter of the triangle is about 17.1 units.
Step-by-step explanation:
The perimeter of a triangle is the sum of its three side lengths.
We can see that the two legs of the triangle both measure five units.
To find the third segment, we can use the Pythagorean Theorem since the <em>x-</em>axis is perpendicular to the <em>y-</em>axis. Recall that:
Where <em>a</em> and <em>b</em> are the two legs and <em>c</em> is the hypotenuse.
Our two legs are 5 and 5. Hence:
Solve for the hypotenuse:
Hence, our perimeter will be:
In conclusion, the perimeter of the triangle is about 17.1 units.
Answer:the total value of the account after 3 years is $7266
Step-by-step explanation:
Initial amount that Ryan invested into account is $500 This means that the principal is P, so
P = 7000
It was compounded annually. This means that it was compounded once in a year. So
n = 1
The rate at which the principal was compounded is 1.25%. So
r = 1.25/100 = 0.0125
It was compounded for 3 years. So
n = =3
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore
A = 7000 (1+0.0125/1)^1×3
A = 7000(1.0125 )^3= $7266
Answer:
6 buckets
Step-by-step explanation:
Answer:
y = 6x - 11
Step-by-step explanation:
An arithmetic sequence is a linear function. This means it steadily increases or decreases through addition/subtraction by a constant amount. Here the sequence grows by adding 6 each time.
-11 + 6 = -5
-5 + 6 = 1
1 + 6 = 7
etc....
Since this is linear, its equation has the form y = mx + b where m is the slope and b is the y-intercept. The slope is m = 6 and b = -11.
y = 6x - 11
Answer:
Step-by-step explanation:
Given
--- initial
-- rate
Value after a year = $20.70
Required
Expression to calculate its value after y years
This is calculated using:
Where
Substitute in
Substitute and in
