15 = ½ (7x-6)
distribute ½ into parentheses
15 = ½(7x) - ½(6)
15 = ⁷/₂x - 3
multiply by 2
30 = 7x -6
subtract +6 to both side
30 + 6 = 7x
36 = 7x
devide 7 to both side
36
------ = x
7
9514 1404 393
Answer:
b. angle K is acute
Step-by-step explanation:
We're often told not to draw any conclusions from the appearance of a figure in a geometry problem. Here, angle K appears to be somewhat less than 90°, so angle K is acute.
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<em>Additional comment</em>
This choice of answer is confirmed by the fact that the other two (visible) choices say the same thing. If one of them is correct, so is the other one. Hence they must both be incorrect. (An obtuse angle is more than 90°.)
It is simplified. You can't simplify farther.
Answer:
(a)![A(n)=P(1+\frac{r}{24})^{24n}](https://tex.z-dn.net/?f=A%28n%29%3DP%281%2B%5Cfrac%7Br%7D%7B24%7D%29%5E%7B24n%7D)
(b)$3763.31
Step-by-step explanation:
When a Principal, P is invested at an annual rate r, for a period of k times over n years, the Amount, A(t) after n years is given by the model:
![A(n)=P(1+\frac{r}{k})^{nk}](https://tex.z-dn.net/?f=A%28n%29%3DP%281%2B%5Cfrac%7Br%7D%7Bk%7D%29%5E%7Bnk%7D)
In this case:
r=1.8%
Since it is compounded bimonthly, k=2X12=24
Therefore:
![A(n)=P(1+\frac{r}{24})^{24n}](https://tex.z-dn.net/?f=A%28n%29%3DP%281%2B%5Cfrac%7Br%7D%7B24%7D%29%5E%7B24n%7D)
For P=$2400, and n=25 years
![A(25)=2400(1+\frac{0.018}{24})^{24*25}\\A(25)=\$3763.31](https://tex.z-dn.net/?f=A%2825%29%3D2400%281%2B%5Cfrac%7B0.018%7D%7B24%7D%29%5E%7B24%2A25%7D%5C%5CA%2825%29%3D%5C%243763.31)
The balance in the account after 25 years is $3763.31.
Answer: what are lengths of lizard
Step-by-step explanation: you can calculate average length of lizard
And also standard deviation and determine median too