Answer:
(a+1) x (a+1) = a² + 2a +1
Step-by-step explanation:
She would need 11 weeks in order to reach her goal.
Answer:
- 5.9%
Step-by-step explanation:
Data provided in the question :
Future value of the amount invested = $4,600
Principle i.e amount of purchase = $7,500
Time, n = 8 years
Now,
let the interest rate be 'i'
using compounding
$4,600 = $7,500 × (1 + i)⁸
or
0.613 = (1 + i)⁸
or
1 + i = 0.941
or
i = -0.059
or
interest rate = - 5.9%
Here negative sign means loss
Answer:
64 : 343
Step-by-step explanation:
First use the radii to find the volume
1) Radius of first sphere is 4 (taken from 4:7 ratio)
Insert it into the equation for volume of a sphere: V=4
/3πr^3
V = (4/3)(π)(4^3)
V = (4/3)(π)(64)
V = 256/3 π
Volume of the first sphere = 256/3 π
2) Radius of the second sphere is 7 (also taken from 4:7 ratio)
Insert it into the equation for volume of a sphere: V=4
/3πr^3
V = (4/3)(π)(7^3)
V = (4/3)(π)(343)
V = 1372/3 π
Volume of the second sphere = 1372/3 π
Next, calculate the ratio by dividing the two numbers
256/3 π ÷ 1372/3 π
Answer should be 64 : 343
The simple way to do this problem is to just cube the numbers:
4:7 becomes 4^3 : 7^3 = 64 : 343
Either way works.
0.955 * 1300 = 1241.5. 0.88 * 1241.5 = 1092.52 Round 1092.52 to 1093. That's the only answer I can think of.
