The first one is 87° because they are corresponding angles
The second one is 93° because they are same side interior angels
Answer:
Option B) There is a 3 percent increase in the savings account each year.
Step-by-step explanation:
we have
![M(x)=10,000(1.03^x)](https://tex.z-dn.net/?f=M%28x%29%3D10%2C000%281.03%5Ex%29)
This is a exponential function of the form
![y=a(b^x)](https://tex.z-dn.net/?f=y%3Da%28b%5Ex%29)
where
M(x) represent the amount of money in a saving account
x represent the number of years
a is the original deposit (y-intercept)
b is the base
r is the rate or percent increase
![b=(1+r)](https://tex.z-dn.net/?f=b%3D%281%2Br%29)
The percent increase per year is the base of the exponential function decreased by 1.
so
![r=b-1](https://tex.z-dn.net/?f=r%3Db-1)
In this problem we have
---> original deposit
![b=1.03\\r=1.03-1=0.03=3\%](https://tex.z-dn.net/?f=b%3D1.03%5C%5Cr%3D1.03-1%3D0.03%3D3%5C%25)
Therefore
The percent increase per year is 3%
Answer: Null hypothesis :![H_0:\ p=0.22](https://tex.z-dn.net/?f=H_0%3A%5C%20p%3D0.22)
Alternative hypothesis : ![H_a:\ p](https://tex.z-dn.net/?f=H_a%3A%5C%20p%3C0.22)
Step-by-step explanation:
Given claim : The proportion of U.S. adults age 25 or older who smoke : ![p=0.22](https://tex.z-dn.net/?f=p%3D0.22)
A researcher suspects that the rate is lower among U.S. adults 25 or older who have a bachelor's degree. i.e. ![p](https://tex.z-dn.net/?f=p%3C0.22)
Since the null hypothesis is a fact checked by the researcher or the experimenter that always contains a equals to sign.
∴ Null hypothesis :![H_0:\ p=0.22](https://tex.z-dn.net/?f=H_0%3A%5C%20p%3D0.22)
Alternative hypothesis : ![H_a:\ p](https://tex.z-dn.net/?f=H_a%3A%5C%20p%3C0.22)
Answer:
$18.75
Step-by-step explanation:
75 divided among the 4 sisters equally
Answer:
Answer:
-13
Step-by-step explanation
Rounded to the nearest 0.01 or
the Hundredths Place.