Answer:
If not a test ill help
Step-by-step explanation:
Answer: the number of shoppers on the first day is 125
Step-by-step explanation:
The number of shoppers is 20% more than the numbers of shoppers the day before. It means that the number of shoppers is increasing in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as
Sn = (ar^n - 1)/(r - 1)
Where
n represents the number of term in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
r = 1 + 20/100 = 1.2
n = 4(first 4 days)
S4 = 671
Therefore, the expression for the first 4 days is
671 = (a × 1.2^(4) - 1)/1.2 - 1
671 = (a × 1.2^(4) - 1)/0.2
671 = 1.0736a/0.2
671 = 5.368a
a = 671/5.368
a = 125
![\large\mathfrak{{\pmb{\underline{\blue{To\:find}}{\blue{:}}}}}](https://tex.z-dn.net/?f=%5Clarge%5Cmathfrak%7B%7B%5Cpmb%7B%5Cunderline%7B%5Cblue%7BTo%5C%3Afind%7D%7D%7B%5Cblue%7B%3A%7D%7D%7D%7D%7D)
The value of
.
![\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}](https://tex.z-dn.net/?f=%5Clarge%5Cmathfrak%7B%7B%5Cpmb%7B%5Cunderline%7B%5Corange%7BSolution%7D%7D%7B%5Corange%7B%3A%7D%7D%7D%7D%7D)
![\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}](https://tex.z-dn.net/?f=%5Clarge%5Cmathfrak%7B%7B%5Cpmb%7B%5Cunderline%7B%5Cred%7BStep-by-step%5C%3Aexplanation%7D%7D%7B%5Cred%7B%3A%7D%7D%7D%7D%7D)
We know that,
![\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}](https://tex.z-dn.net/?f=%5Csf%5Cpink%7BSum%5C%3Aof%5C%3Aangles%5C%3Aof%5C%3Aa%5C%3Atriangle%5C%3A%3D%5C%3A180%C2%B0%7D)
➪ 95° + (3
+4)° + (4
- 3)° = 180°
➪ 3
+ 4
+ 95° + 4° -3° = 180°
➪ 7
+ 96° = 180°
➪ 7
= 180° - 96°
➪ 7
= 84°
➪
= ![\frac{84°}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B84%C2%B0%7D%7B7%7D)
➪
= 12°
Therefore, the value of
is 12°.
Now, the three angles of the triangle are 95°, 40° and 45° respectively.
![\large\mathfrak{{\pmb{\underline{\purple{To\:verify}}{\purple{:}}}}}](https://tex.z-dn.net/?f=%5Clarge%5Cmathfrak%7B%7B%5Cpmb%7B%5Cunderline%7B%5Cpurple%7BTo%5C%3Averify%7D%7D%7B%5Cpurple%7B%3A%7D%7D%7D%7D%7D)
✒ 95° + 40° + 45° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
![\boxed{Hence\:verified.}](https://tex.z-dn.net/?f=%5Cboxed%7BHence%5C%3Averified.%7D)
Answer:
Slope is positive.
Every additional hat produced results in a cost increase of $0.60
Before producing any hats the cost is about $100
Step-by-step explanation:
Calculate the slope or rate of change using two data points from the table.
![m = \frac{111-105}{20-10} =\frac{6}{10}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B111-105%7D%7B20-10%7D%20%3D%5Cfrac%7B6%7D%7B10%7D)
This means that the cost rises by $6 for every 10 hats or 0.60 per 1 hat. The slope is positive and increasing.
This also means that for 0 hats the cost is 105-6 = 99 or about $100.
Answer:
A. x + 200 = 450
Step-by-step explanation:
Since clara deposited $200 into her savings account and it brought her account up to $450, to find the answer you would add "x" with 200 and you should get 450 which means x= 250. we can check our answer by solving : 450-200 and you should get 250 for your answer so the answer is
A x + 200 = 450