V = P(1 + i)^n
Where,
V = 10.400
P = 10.000
i = 8%
n = ?
Then we will following:
10.400 = 10.000(1+8%)^n
10.400/10.000 = (1 +0,08)^n
1,04 = 1,08^n
Applying Logarithm on both sides, we will have:
Log (1,04) = Log(1,08^n)
Log(1,04) = n.Log(1,08)
n = Log(1,04)÷Log(1,08)
n = 0,5 years
Aplication rules of 3
1 years _______ 12months
0,5 years _______ x
x = 0,5 . 12 months
x = 6 months
Answer:
Simplify 2(x+1)\times 22(x+1)×2 to 4(x+1)4(x+1).
4(x+1)=324(x+1)=32
2 Divide both sides by 44.
x+1=\frac{32}{4}x+1=
4
32
3 Simplify \frac{32}{4}
4
32
to 88.
x+1=8x+1=8
4 Subtract 11 from both sides.
x=8-1x=8−1
Answer:
3
Step-by-step explanation:
Answer:
In these functions translation is used.
The transformation means that vertex of function m(s) is translated 18 units downwards.
Step-by-step explanation:
We have been given that average gas mileage m in miles per gallon for a compact car is modeled by m(s) = - 0.015(s - 47)2 +33 and mileage for an SUV is modeled by my(s) = -0.015(s - 47)2 + 15.
We can see that both functions are parabolic and opens downwards. The vertex of function m(s) is (47,33), while vertex of function my(s) is (47,15). We can describe this change by translation.
This transformation means that function m(s) is translated 18 units downwards and average mileage of SUV is 18 miles/hour lesser than compact car at equal speeds.
Answer:
Number 1 can form a right triangle. Numbers 2 & 3 cannot.
Step-by-step explanation:
To check if the sides are a right triangle, check if the sum of the squares of the two smaller sides equals the length of the square of the longest side. In other words, do the Pythagorean Theorem.
5² + 12² = 13²
25 + 144 = 169
169 = 169
<u><em>They are equal therefore Number 1 can form a right triangle.</em></u>
5² + 7² = 9²
25 + 49 = 81
74 = 81
<em>They are not equal, therefore Number 2 can't form a right triangle.</em>
<em />
10² + 12² = 30²
100 + 144 = 900
244 = 900
<em>They are not equal, therefore Number 3 can't form a right triangle.</em>
