Let us say that:<span>
P = present value
F = future value
i = interest rate
n = period
P = F / [ (1 + i ) ^n ]
P = 200000 / [ (1 + 0.011) ^6 ]
P = 187293.65
<span>Therefore the student must put up Php 187,293.65</span></span>
Answer:
The second similar can with a radius of 24-inch radius will hold 12 gallons
Step-by-step explanation:
The given parameters are;
The volumes of the cylindrical can ∝ (The radius of the cans)³
The volume of first can, V₁ = 1¹/₂ pints
The radius of the first can, r₁ = 6-inch
The radius of the second can, r₂ = 24-inch
Therefore, we have;
V ∝ r³
V = k × r³
∴ 1¹/₂ pints ∝ (6 in.)³
1¹/₂ pints = 43.3125 in³
∴ 43.3125 in³ = k × 216 in.³
The constant of proportionality, k = 43.3125/216 = 0.2005208333
Therefore, we have for the second can, we have;
V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³
The volume of the second can = 2772 in.³
1 in.³ = 0.004329 gallons
∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons
Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.
4th root is even so there can be negative solutions.
0.0001
0.001 * 0.1
0.01 * 0.1 * 0.1
0.1 * 0.1 *0.1 * 0.1
4th root (0.0001) = 0.1 or -0.1
Answer:
<h2>B) x = 2/3</h2>
Step-by-step explanation:
y = a - horizontal line (a - any real number) - slope = 0
x = a - vertical line (a - any real number) - undefined slope
y = mx + b - diagonal line (m - any real number except 0, b - any real number) - m - slope
You have to combine like terms (terms that have the same variable(x,y....) and power/exponent)²³
(4x³ - 4 + 7x) - (2x³ - x - 8) Distribute -1 into (2x³ - x - 8)
(4x³ - 4 + 7x) + (-)2x³ - (-)x - (-)8 (two negative signs cancel each other out and become positive)
(4x³ - 4 + 7x) - 2x³ + x + 8 Now combine like terms
4x³ - 2x³ + 7x + x - 4 + 8 (I rearranged for the like terms to be next to each other)
2x³ + 8x + 4 It is equivalent to B
Combine like terms
(I rearranged for the like terms to be next to each other)
It is equivalent to D
(x² - 2x)(2x + 3) Distribute x² into (2x + 3) and distribute -2x into (2x + 3)
(x²)2x + (x²)3 + (-2x)2x + (-2x)3
When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together
2x³ + 3x² - 4x² - 6x Combine like terms
2x³ - x² - 6x It is equivalent to A
[Info]
When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together. (You can combine the exponents only if they have the same variable)
For example:

(You can't combine them because they have different exponents of y and x)
