Answer:
15
Step-by-step explanation:
30 --> r
60 --> r√3
90 --> 2r
<h3>
Answer:</h3>
y=5x-6
<h3>
Solution:</h3>
- First, let's write the equation of the line in Point-Slope Form:
- y-y1=m(x-x1)
- y-(-1)=5(x-1)
- y+1=5(x-1
- Convert into slope-intercept:
Hope it helps.
Do comment if you have any query.
Simple interest is always computed on the original principal amount. The interest for every time period is the same. The formula
.. I = P*r*t
is used to compute the interest (I) on the principal amount (P) for a given rate (r) and time period (t).
5) On Olivia's account, the interest at the end of 3 years will be
.. I = Prt
.. I = 1530*0.06*3 . . . . . interest is "per year" and time is in years.
.. I = 275.40
This amount of interest is added to Olivia's account to give a balance of
.. balance = principal + interest
.. = 1530 +275.40 = 1805.40
When interest is compounded, it is computed not on the original principal amount (except in the first period), but on the account balance at the beginning of the period. That account balance will include any interest earned up to that point. For a given principal amount (P) and periodic interest rate (r), the account balance at the end of t periods of time will be
.. balance = P*(1 +r)^t
Here, interest is compounded annually, so "r" is the annual rate and "t" is the number of years. At the end of 3 years, Melinda's account balance will be
.. balance = 1500*(1 +.08)^3
.. = 1889.57
Melinda's account has 1889.57 -1805.40 = 84.17 more than Olivia's account. This corresponds to selection D.
6) Account 1 will have a balance after 2 years of
.. balance = principal +interest = P +P*r*t = P*(1 +r*t)
.. = 400*(1 +.035*2) = 428
Account 2 will have a balance after 2 years of
.. balance = P*(1 +r)^t
.. = 250*(1 +.0325)^2 = 266.51
The total of the two accounts will be 428 +266.51 = 694.51. This corresponds to selection J.
1- getting the side lengths:
We are given that the ratio between the sides is:
BC : AC : AB
4 : 3 : 5
We are also given that AC = 12 cm
We will simply use cross multiplication to find the lengths of the other two sides as follows:
BC : AC : AB
4 : 3 : 5
?? : 12 : ??
length of BC = (12*4) / 3 = 16 cm
length of AB = (12*5) / 3 = 20 cm
2- getting the perimeter of the triangle:
perimeter = AB + BC + AC
perimeter = 20 + 16 + 12
perimeter = 48 cm
3- getting the length of the hypotenuse:
We are given that angle C is the right angle in triangle ABC. The hypotenuse is the side opposite to the right angle. In our case, this side is AB.
This means that the length of the hypotenuse = AB = 20 cm
4- getting the area of the triangle:
area of triangle = 0.5 * base * height
Since the given triangle is a right-angled triangle, therefore, the base and the height are the two legs associated with the right angle.
This means that:
base = AC = 12 cm
height = BC = 16 cm
Therefore:
area of triangle = 0.5 * 12 * 16 = 96 cm²
Hope this helps :)
The slope of the line is 1/2