This question is about compound interest, but since the interest is such a small number you can use what you know about simple interest to eliminate some answers.
You can immediately eliminate choice A as a clunker, since it is less than the original amount in the account.
Consider what the amount of interest would be if you make the rate much larger than the original rate, say 10%, or 0.1:
$6,500 × 0.1 = $650
If this amount were added to the original amount each year for two years, the total would be:
$6,500 + $650 + $650 = $6,500 + $1,300 = $7,800
This is an over-estimate for the information given, and since choices C and D are even greater than this over-estimate, they can be eliminated. That means choice B is the correct answer.
There are several ways two triangles can be congruent.
<em> congruent by SAS</em>
<em> congruent by corresponding theorem</em>
In
and
(see attachment), we have the following observations
--- Because O is the midpoint of line segment AD
--- Because O is the midpoint of line segment BC
---- Because vertical angles are congruent
---- Because vertical angles are congruent
Using the SAS (<em>side-angle-side</em>) postulate, we have:

Using corresponding theorem,
---- i.e. both triangles are congruent
The above congruence equation is true because:
- <em>2 sides of both triangles are congruent</em>
- <em>1 angle each of both triangles is equal</em>
- <em>Corresponding angles are equal</em>
See attachment
Read more about congruence triangles at:
brainly.com/question/20517835
9514 1404 393
Answer:
see attached for a graph
x = 0.5 when y = 1
Step-by-step explanation:
The graph has a y-intercept of -1, which is halfway between 0 and -2. It goes up 4 units (2 vertical grid spaces) for 1 unit to the right (1 horizontal grid space). It seems to cross y = 1 at about x = 1/2.
x = 1/2 when y = 1.
The distance travelled by Jim in 24 step is 9 miles by unitary method.
According to the given question.
The number of steps travelled by Jim = 24
Also, it is given that "Carly takes three steps to walk the same distance as Jim walks in four steps".
Therefore, by unitary mehod we can say that
The number of steps walked by Carly = 3 × (24/4) = 3 × 6 = 18
So, the distance travelled by Carly in 18 steps
= 18 × 0.5miles
= 9 miles
Since, the Carly's 18 steps is equals to Jim's 24 steps.
Therefore, the distance travelled by Jim in 24 step is 9 miles.
Find out more information about unitary method here:
brainly.com/question/22056199
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Answer:
The overall probability of type II diabetes among 40- to 59-year-olds in Houston is 9.3%.
Step-by-step explanation:
We have these following rates of type II diabetes:
7% among Caucasians
10% among African-Americans
12% among Hispanics
5% among Asian-Americans.
The ethnic distribution of Houston is:
30% Caucasian
25% African-American
40% Hispanic
5% Asian-American
What is the overall probability of type II diabetes among 40- to 59-year-olds in Houston?

is the probability of finding a Caucasian with type II diabetes in Houston. So it is 7% of 30%.

is the probability of finding an African-American with type II diabetes in Houston. So it is 10% of 25%.

is the probability of finding a Hispanic with type II diabetes in Houston. So it is 12% of 40%.

is the probability of finding an Asian-American with type II diabetes in Houston. So it is 5% of 5%.


The overall probability of type II diabetes among 40- to 59-year-olds in Houston is 9.3%.