T <-3 is the answer i hope this helps
Answer:
0,0
Step-by-step explanation:
because it is in the centre of the graph
1.<span>
The midpoint </span>MPQ of PQ is given by (a + c /
2, b + d / 2)<span>
2.
Let the x coordinates of the vertices of P_1 be :
x1, x2, x3,…x33
the x coordinates of P_2 be :
</span>z1, x2, x3,…z33<span>
and the x coordinates of P_3 be:
w1, w2, w3,…w33</span>
<span>
3.
We are given with:
</span>
X1
+ x2 + x3… + x33 = 99
We also want to find the value of w1 + w2 + w3… + w33.<span>
4.
Now, based from the midpoint formula:</span>
Z1 = (x1 + x2) / 2
Z2 = (x2 + x3) / 2
Z3 = (x3 + x4) / 2
Z33 = (x33 + x1) / 2<span>
and
</span>
<span>W1
= (z1 + z1) / 2
W2 = (z2 + z3) / 2</span>
<span>W3
= (z3 + z4) / 2
W13 = (z33 + z1) / 2
.
.
5.</span>
<span>W1
+ w1 + w3… + w33 = (z1 + z1) / 2 + (z2 +
z3) / 2 + (z33 + z1) / 2 = 2 (z1 + z2 + z3… + z33) / 2</span>
<span>Z1
+ z1 + z3… + z33 = (x1 + x2) / 2 + (x2 + x3) / 2
+ (x33 + x1) / 2
</span>2 (x1 + x2 + x3… + x33) / 2 = (x1 + x2 +
x3… + x33 = 99<span>
<span>Answer: 99</span></span>
Answer: 
Step-by-step explanation:
Given: Fraction of 7th graders got A = 
Fraction of 7th graders got B = 
The fraction of the students got an A or B = Fraction of 7th graders got + Fraction of 7th graders got B
Hence, the required fraction:
Answer:
After 19 months,value in the account will reach $3700
Step-by-step explanation:
The value of a savings account f(t) in terms of t ( number of months since account opening) is given as ![\[3,500(1.003)^{t}\]](https://tex.z-dn.net/?f=%5C%5B3%2C500%281.003%29%5E%7Bt%7D%5C%5D)
We need to determine the value of t when f(t)>=3700
Expressing it in equation form,
![\[3,500(1.003)^{t} >= 3700\]](https://tex.z-dn.net/?f=%5C%5B3%2C500%281.003%29%5E%7Bt%7D%20%3E%3D%203700%5C%5D)
![\[=>(1.003)^{t} >= \frac{3700}{3500}\]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%281.003%29%5E%7Bt%7D%20%3E%3D%20%5Cfrac%7B3700%7D%7B3500%7D%5C%5D)
![\[=>(1.003)^{t} >= 1.057\]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%281.003%29%5E%7Bt%7D%20%3E%3D%201.057%5C%5D)
Taking log of both sides,
![\[=>t * log(1.003) >= log(1.057)\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Et%20%2A%20log%281.003%29%20%3E%3D%20log%281.057%29%5C%5D)
![\[=>t >= \frac{log(1.057)}{log(1.003)}\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Et%20%3E%3D%20%5Cfrac%7Blog%281.057%29%7D%7Blog%281.003%29%7D%5C%5D)
![\[=>t >= 18.51\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Et%20%3E%3D%2018.51%5C%5D)
So t = 19.
