Answer:
13.1 (3sf)
Step-by-step explanation:
14 ^2 - 5^2 = 171
root 171 = 13.1 (3sf)
Answers:
- <u>24000 dollars</u> invested at 4%
- <u>18000 dollars</u> was invested at 7%
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Work Shown:
x = amount invested at 4%
If she invests x dollars at 4%, then the rest (42000-x) must be invested at the other rate of 7%
She earns 0.04x dollars from that first account and 0.07(42000-x) dollars from the second account
This means we have
0.04x+0.07(42000-x)
0.04x+0.07*42000-0.07x
0.04x+2940-0.07x
-0.03x+2940
This represents the total amount of money earned after 1 year.
We're told the amount earned in interest is $2220, so we can say,
-0.03x+2940 = 2220
-0.03x = 2220-2940
-0.03x = -720
x = -720/(-0.03)
x = 24000 dollars is the amount invested at 4%
42000-x = 42000-24000 = 18000 dollars was invested at 7%
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As a check, we can see that
18000+24000 = 42000
and also
0.04x = 0.04*24000 = 960 earned from the first account
0.07*18000 = 1260 earned from the second account
1260+960 = 2220 is the total interest earned from both accounts combined
This confirms our answers.
Answer:

Step-by-step explanation:
We are given a joint probability table.
There are four different graders in a school
1. Grade Ninth
2. Grade Tenth
3. Grade Eleventh
4. Grade Twelfth
Field trip refers to the students who will attending the amusement park field trip.
No field trip refers to the students who will not be attending the amusement park field trip.
We want to find out the probability that the selected student is an eleventh grader given that the student is going on a field trip.

Where P(eleventh and FT) is the probability of students who are in eleventh grade and will be going to field trip

Where P(FT) is the probability of students who will be going to field trip

So the required probability is

Answer:
Step-by-step explanation:
You could also use increments of 4 degrees instead, so the first line to the right of the zero point represents 4 degrees Celsius, the second represents 8 degrees and so on. Having each line represent 4 degrees is useful, since the temperatures where Celsius and Fahrenheit correspond are multiples of 4 in both scales. It's ok if you give brainliest to the other person who answered first