Answer:
Joe would be paying $700 in 5 years time.
Explanation:
I = Pin
where : I - interest
P - principal
i - the interest rate
n - the number of years
I = Pin, plug in the given data as provided in the problem.
P = $2,000
i = 0.07 per year
n = 5 years
I = ($2,000)(0.07/year)(5 years)
= ($2,000)(0.07)(5)
= $700
Multiply the bracket by -2
2x+3y^2 -2(x-y2)
2x+3y^2-2x+2y^2
2x-2x+3y^2+2y^2- rearranging
3y^2+2y^2
5y^2
Answer: 5y^2
Answer:
A = 21 degrees
Step-by-step explanation:
Here in this question, we are told to calculate the value of angle A.
When two angles are tagged complementary, what this means is that the addition of both angles gives a total of 90 degrees.
Hence;
A + B = 90
This means that;
(x-21) + (2x -15) = 90
x + 2x -21-15 = 90
3x -36 = 90
3x = 90+ 36
3x = 126
x = 126/3
x = 42
But we are told to calculate the measure of A
A = x -21
A = 42-21
A = 21 degrees
You could do 2/6+2/6=4/6, or you could do 1/6+3/6=4/6, or vice versa.
Answer:
10 cm
Step-by-step explanation:
Given:
No. of small spherical bulb = 1,000
radius (r) of smaller bulbs = 1 cm
Required:
radius of the bigger bulb
SOLUTION:
The following equation represents the relationship of the volume of the smaller and bigger bulb,
![\frac{V_2}{V_1} = 1,000](https://tex.z-dn.net/?f=%20%5Cfrac%7BV_2%7D%7BV_1%7D%20%3D%201%2C000%20)
Where,
= volume of bigger bulb
= volume of smaller bulb
1,000 is the number of smaller bulbs melted to form the bigger bulb.
Volume of a sphere is given as, ⁴/3πr³
Therefore:
= ⁴/3*π*r³ = 4πr³/3
= ⁴/3*πr³ = ⁴/3*π*(1)³ = ⁴/3π*1 = 4π/3
Plug the above values into the equation below:
![\frac{V_2}{V_1} = 1,000](https://tex.z-dn.net/?f=%20%5Cfrac%7BV_2%7D%7BV_1%7D%20%3D%201%2C000%20)
![\frac{\frac{4*pie*r^3}{3}}{\frac{4*pie}{3}} = 1,000](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Cfrac%7B4%2Apie%2Ar%5E3%7D%7B3%7D%7D%7B%5Cfrac%7B4%2Apie%7D%7B3%7D%7D%20%3D%201%2C000%20)
![\frac{4*pie*r^3}{3}*{\frac{3}{4*pie} = 1,000](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%2Apie%2Ar%5E3%7D%7B3%7D%2A%7B%5Cfrac%7B3%7D%7B4%2Apie%7D%20%3D%201%2C000%20)
![\frac{4*pie*r^3*3}{3*4*pie} = 1,000](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%2Apie%2Ar%5E3%2A3%7D%7B3%2A4%2Apie%7D%20%3D%201%2C000%20)
![\frac{12*pie*r^3}{12*pie} = 1,000](https://tex.z-dn.net/?f=%20%5Cfrac%7B12%2Apie%2Ar%5E3%7D%7B12%2Apie%7D%20%3D%201%2C000%20)
(12pie cancels 12 pie)
(taking the cube root of each side)
Radius of the bigger bulb = 10 cm