Answer:
y = 10(1.01)^60
Step-by-step explanation:
The general equation of exponential growth is
y = ab^x
b has to do with the rate of growth.
b = 1 + r, so in this case, b = 1 + 1% = 1 + 0.01 = 1.01.
Now we have
y = a(1.01)^x
a is the initial value, so now we have
y = 10000(1.01)^x
where y is the number of books after x months
Since you need the number of books after 5 years, we must convert 5 years into months.
5 years * (12 months)/year = 60 months
The problem wants the expression in thousands of books, so we divide the initial value by 1000.
Answer: y = 10(1.01)^60
Answer:
Surface area = 80.4 cm²
Step-by-step explanation:
The diagram of both cylinders is attached below for a better understanding.
<h3>First find the radius of larger cylinder:</h3>
Surface area = 2πrh + 2πr²
236 = 2(3.14)(5)r + 2(3.14)r²
236 = 31.4r + 6.28r²
236 = 6.28(r² + 5r)
35.58 = r² + 5r
r = 3.97 cm
<h3>
Find the radius of Smaller cylinder:</h3>
Two cylinders are in proportion if their heights and radius are in proportion:
Ratio of height of small cylinder to big cylinder = 3/5 = 0.6
So ratio of radius of both is also 0.6
Let R be the radius of small cylinder
ratio of radius of small cylinder to big cylinder = R / 3.97
R = (0.6)(3.97)
R = 2.38
<h3 /><h3>Surface Area for small cylinder:</h3>
R = 2.38cm and h = 3 cm
Surface area = 2πrh + 2πr²
Surface area = 2(3.14)(2.38)(3) + 2(3.14)(2.38)²
Surface area = 80.4115cm²
Round of to nearest tenth
Surface area = 80.4 cm²
<h3>I’ll teach you solve 3x^-2 and 5x^2y(2x^4y^-3)</h3>
——————————————
(A)
3x^-2
Apply exponent rule:
3*1/x^2
Multiply fractions:
1*3/x^2
Multiply the numbers:
1*3= 3
3/x^2
Your Answer Is
(B)
5x^2y(2x^4 y^-3)
Apply exponent rule:
5y*2x^2+4 y^-3
Add the numbers:
2+4= 6
5y*2x^6 y^-3
Apply exponent rule:
5*2x^6 y^1-3
Subtract the numbers:
1-3= -2
5*2x^6 y^-2
Apply exponent rule:
5*2* 1/y^2 x^6
Multiply fractions:
1*5*2x^6/y^2
Multiply the numbers:
1*5*2= 10
10x^6/y^2
Your Answer Is
Plz mark me as brainliest if this helped :)
Answer:
Step-by-step explanation:
The formula for the area of a square is A = x^2, where x is the length of one side. Equivalently, x^2 = A.
Here x^2 = 225 yd^2. Taking the positive square root of both sides, x = 15 yd.
Thus, the perimeter of the square area enclosed by the fence is
P = 4(15 yd) = 60 yd
Answer:
B 20
Step-by-step explanation: