When you multiply a whole number by a fraction, multiply the whole number by the numerator ( top number) and then divide by the denominator (bottom number).
8 x -8/9 = (8 *-8)/9 = -64/9 = -7 1/9 = -7.1
Answer:
Solution : Volume = 96/5π
Step-by-step explanation:
If we slice at an arbitrary height y, we get a circular disk with radius x, where x = y^(1/3). So the area of a cross section through y should be:
A(y) = πx^2 = π(y^(1/3))^2 = πy^(2/3)
And now since the solid lies between y = 0, and y = 8, it's volume should be:
V = ∫⁸₀ A(y)dy (in other words ∫ A(y)dy on the interval [0 to 8])
=> π ∫⁸₀ y^(2/3)dy
=> π[3/5 * y^(5/3)]⁸₀
=> 3/5π(³√8)⁵
=> 3/5π2^5
=> 96/5π ✓
Answer:
After 23 years , the capital will get three times as big
Step-by-step explanation:
Firstly, let us write the compound interest formula
P = I( 1 + r)^n
Since we are considering a capital rise of 3 times
If I, the initial value is x, the P
value later will be 3x
Interest rate is 5/100 = 0.05
so we need the value of t
This will be;
3x = x(1 + 0.05)^t
3= 1.05^t
ln 3 = t ln 1.05
t = ln 3/ln 1.05
t = 23 years
Answer:
Exact form: -√19
Decimal form: −4.35889894...
Hello! So the formula for compound interest is P(1 + r)^t, where r = rate, P = principal, and t = time (years). C is out, because you multiply the rate and principal together to get the price, not add. You raise the decimal to a certain power, based on the amount of years. You add 1 to the rate. 5% in decimal form is 0.05 and you must add 1 to the amount, which eliminated B. The only answer that works is A, because it shows the correct formula. The answer is A.
