Answer:
interest rate = 2.9%
Step-by-step explanation:
the principal is $25,000, the interest is $10,875
Number of years = 15
We use simple interest formula
I = P*r*t
Where I is the interest amount=10,875
P is the principal amount= 25000
r is the interest rate = r
t is the number of years = 15
Plug in all the value in the formula
I = P*r*t
10875 = 25000 * r * 15
10875 = 375000 * r
Divide both sides by 375000
r=0.029
We always write rate of interest in percentage so we multiply by 100
0.029 * 100= 2.9%
So interest rate = 2.9%
The answer would be y=60.
I think.
Answer:
-12
Step-by-step explanation:
Let the number be A
Given if you divide the sum of six and the number A by 3 , the result is 4 more than 1/4 of A
That’s
6+A/3 = 4+1/4 of A
6+A/3 = 4+1/4 x A
6+A/3 = 4+A/4
Cross multiply
4(6 + A) = 3(4 + A)
Distribute
4 x 6 + 4 x A = 3 x 4 + 3 x A
24 + 4A = 12 + 3A
Subtract 24 from both sides to eliminate 24 on the left side
24 - 24 + 4A = 12 - 24 + 3A
4A = -12 + 3A
Subtract 3A from both sides so the unknown can be on one side
4A - 3A = -12 + 3A - 3A
A = -12
Check
6+(-12)/3 = 4 +(-12)/4
6 -12/3 = 4 -12/4
-6/3 = -8/4
-2 = -2
Answer:
8√3.
Step-by-step explanation:
192 = 2 * 2 * 2 * 2 * 2 * 2 * 3
The square root of the multiple of the 6 2's is 2*2*2 = 8
so √192 = 8√3.
Answer:
a) Acute
Step-by-step explanation:
To clasify the triangle as Acute, Right, or Obtuse, we use the converse of the pythagorean theorem and see if c^2 is greater, less than, or equal to b^2+a^2.
So 16^2 ? 11^2 + 12^2
Since 11^2 +12^2 = 265 and 16^2 is 256, c^2 is less than b^2+a^2. So the triangle is acute.