Answer: The next three terms =2.56, - 1.024 and 0.4096
Step-by-step explanation:
Common Ratio of a Geometric sequence, R is calculated as
=a2/a1 = -40/100=-0.4
or a3/a2=16/ -40 = -0.4
such that the next three terms are
5th term = -6.4 x -0.4=2.56
6th term= 2.56 x -0.4 =-1.024
7TH term= -1.024 x -0.4=0.4096
<em>4℉.</em>
What we know about Degrees is that there is a<em> </em><u><em>Positive</em></u> type and a <u><em>negative</em></u> type.
(i.e: 30℉ is <u><em>positive</em></u> and -30℉ is <u><em>negative</em></u>.)
If the temperature was -4℉ at 7AM, then it is negative. If it goes up by an amount that is more than 4 then that negative will go up to a positive temperature. In this case: At 9AM it was 8° <u><em>warmer</em></u>.
<u><em>Warmer</em></u><em> is a </em><u><em>keyword</em></u><u>.</u> If it is warmer by an amount, Negative temperatures <u><em>will go up to a positive</em></u> and positive temperature <u><em>will just go up</em></u>. If it gets cooler, negative temperatures <u><em>will go down further</em></u> and positive temperatures <u><em>will go down to a negative</em></u>.
So lets work out this problem with our newfound knowledge.
-4° F at 7AM
8° warmer at 9AM
-4 + 8 = 4.
<em>The temperature was 4° at 9AM.</em>
-Snooky
Cost of Alejandro's food = $12
Tip paid by Alejandro = 20% of his bill = 20% of 12 = 2.4
Cost of Mia's food = $18
Tip paid by Mia = 15% of his bill = 15% of 18 = 2.7
Total Tip Paid = 2.4+2.7 = 5.1
Total Check Amount = 12 + 18 = 30
Total tip paid by Alejandro and Mia is r% of the total check amount.
So, we need to determine what % of 30 is equal to 5.1%
⇒ r% × 30 = 5.1
⇒ r% = 5.1 / 30
⇒ r% = 17%
Hence, r is 17%
The first thing we are going to do for this case is define variables.
We have then:
x = Number of boys
y = Number of girls
We now write the system of equations:
x / y = 11/9
x = y + 124
Solving the system we have:
x = 682
y = 558
The number of students is:
x + y = 682 + 558 = 1240
Answer:
the total students in the school is:
1240 students
Answer:
1936
Step-by-step explanation:
x² + 87 = (x +1)²
x² + 1)² - x² =87
(x² + 2x +1) = 87
2x + 1 = 87 ⇒ x = 44
44² = 1936
