Answer:
1. A is d=1.75
Step-by-step explanation:
Hi,
AxB = 0 means A=0. or B=0
so 2 solutions :
4x-3= 0
4x=3
x = 3/4
and x+2 = 0.
x= -2
solutions are : -2 +and 3/4
Answer:
23 months
Also please note that it's everytime ^t/12 not (^t)/12
Step-by-step explanation:
Principal (P) = $2700
rate = 9%
t = ?
Amount = ![P(1+\frac{r}{100} )^(t/12)](https://tex.z-dn.net/?f=P%281%2B%5Cfrac%7Br%7D%7B100%7D%20%29%5E%28t%2F12%29)
Amount = 2700 +500 = $3200
So substituting all our values we get :
![3200 = 2700(1+\frac{9}{100})^(t/12)\\ 3200=2700(1+0.09)^(t/12)\\3200 = 2700(1.09)^(t/12)\\\frac{3200}{2700} =1.09^(t/12)](https://tex.z-dn.net/?f=3200%20%3D%202700%281%2B%5Cfrac%7B9%7D%7B100%7D%29%5E%28t%2F12%29%5C%5C%203200%3D2700%281%2B0.09%29%5E%28t%2F12%29%5C%5C3200%20%3D%202700%281.09%29%5E%28t%2F12%29%5C%5C%5Cfrac%7B3200%7D%7B2700%7D%20%20%3D1.09%5E%28t%2F12%29)
So we use log to solve for t :
![t/12=log_{1.09} (\frac{3200}{2700})\\](https://tex.z-dn.net/?f=t%2F12%3Dlog_%7B1.09%7D%20%28%5Cfrac%7B3200%7D%7B2700%7D%29%5C%5C)
Solving this using a calculator we get:
1.9714966193*12
=23 months
Answer:
30 red marbles
Step-by-step explanation:
If the ratio is 2 red marbles for every 5 blue marbles then you would add them together to find out how many marbles are in one group.
2+5=7
There are 7 marbles in each group.
Now we have to find out how many total groups there are by dividing the total amount of marbles by the amount in each group.
105÷7=15
There are 15 groups of 7 marbles.
Looking back at the ratio, we know that the 15 groups each have 2 red marbles and 5 blue marbles. So if there is 2 red marbles 15 times (2 marbles in 15 groups) we would multiply.
2×15=30
There are 30 red marbles.
I hope that makes sense.