Answer:
So interest rate is 8% per annum
Step-by-step explanation:
Principal amount = $3,006
Amount at end = $3,967.92
Time = 4yrs
interest money = ($3967.92 - $3006)
also equal to = 4 * (x/100) * $3,006
Where x is the interest rate per annum
So, 4 * (x/100) * $3,006 = ($3967.92 - $3006)
x = 8%
So interest rate is 8% per annum
Answer:
mean and range
arrangement before: 24,25,25,26,27
arrangement after: 24,25,25,25,26,27,28
mean before: (27+25+24+26+25)/5 = 25.4
mean after: (27+25+24+26+25+25+28))/5 = 25.7
median before: 25
median after: 25
mode before: 25
mode after: 25
range before: 24 to 27
range after: 24 to 28
hence, the mean and range were affected while the median and mode remained unchanged.
Solution:
1) Rewrite it in the form {a}^{2}-2ab+{b}^{2}, where a={d}^{2} and b=4
{({d}^{2})}^{2}-2({d}^{2})(4)+{4}^{2}
2) Use Square of Difference: {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}
{({d}^{2}-4)}^{2}
3) Rewrite {d}^{2}-4 in the form {a}^{2}-{b}^{2} , where a=d and b=2
{({d}^{2}-{2}^{2})}^{2}
4) Use Difference of Squares: {a}^{2}-{b}^{2}=(a+b)(a-b)
{((d+2)(d-2))}^{2}
5) Use Multiplication Distributive Property: {(xy)}^{a}={x}^{a}{y}^{a}
{(d+2)}^{2}{(d-2)}^{2}
Done!
Step-by-step explanation:
![lets \: assume \: the \: water \: gallon \: has \: 1000litres \\](https://tex.z-dn.net/?f=lets%20%5C%3A%20assume%20%5C%3A%20the%20%5C%3A%20water%20%5C%3A%20gallon%20%5C%3A%20has%20%5C%3A%201000litres%20%5C%5C%20)
![1000 = 0.25x](https://tex.z-dn.net/?f=1000%20%3D%200.25x)
0.25 Is the rate and x is how many minutes
Answer:
A
Step-by-step explanation:
The axis of symmetry for the figure is the y- axis
The y- axis has equation x = 0