1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alexandr1967 [171]
4 years ago
12

An Arithmetic series has 20 terms. The first term is -81. The sum of all the terms is -480. Use the arithmetic sum formula to fi

nd the last term
Mathematics
1 answer:
timama [110]4 years ago
4 0

Answer:

The last term is 33.

Step-by-step explanation:

Sn = (n/2)(a1 + L)    where a1 = first term and L = the last.

So:

-480 = (20/2) ( -81 + L)

-480 = 10( L - 81)

L- 81 = -480 / 10 = -48

L = -48 + 81

L = 33.

You might be interested in
Today is sunday. Tom starts to read a book with 490 pages today. Sundays he reads 25 pages and on all other days he reads 4 page
mrs_skeptik [129]

Based on the information given, it can be noted that Tom will use 117 days to read the book.

How to solve a equation.

Based on the information given, we are informed that Tom starts to read a book with 490 pages today. Sundays he reads 25 pages and on all other days he reads 4 pages.

Let the number of days be represented by x. Therefore, the equation to solve the question will be:

25 + (4 × x) = 490

25 + 4x = 490

4x = 490 - 25

4x = 465

x = 465/4

x = 116.25

x = 117

Therefore, he'll use 117 days to read the book.

Learn more about equations on:

brainly.com/question/13763238

6 0
3 years ago
Which function is the inverse of ?<br> f(x)=50,000(0.8)^x
IrinaK [193]
Answer:

<span>y=<span><span><span>log<span>(x)</span></span>−<span>log<span>(50000)</span></span></span><span>log<span>(0.8)</span></span></span></span>

Explanation:

write as : <span>y=50000<span><span>(0.8)</span>x</span></span>

Taking logs:

<span><span>log<span>(y)</span></span>=<span>log<span>(50000)</span></span>+<span>log<span>(.<span><span>(0.8)</span>x</span>.)</span></span></span>

But <span>log<span>(.<span><span>(0.8)</span>x</span>.)</span></span> is the same as <span>x<span>log<span>(0.8)</span></span></span>

Thus
<span>x=<span><span><span>log<span>(y)</span></span>−<span>log<span>(50000)</span></span></span><span>log<span>(0.8<span>)

</span></span></span></span></span>Now swap the x'x and the y's giving:<span><span><span><span><span>
</span></span></span></span></span>

<span>y=<span><span><span>log<span>(x)</span></span>−<span>log<span>(50000)</span></span></span><span>log<span>(0.8<span>)

my teacher helped a little bit


</span></span></span></span></span>

4 0
3 years ago
Which term does not describe a square?
forsale [732]

Answer: a

Step-by-step explanation:

7 0
3 years ago
Ming writes a number pattern on a slip of paper and hands it to his friend Jack. 24 21 23 20 22 19 21 18 Jack writes the next nu
tiny-mole [99]
The rule is -3, then +2

24-3 = 21
21 + 2 = 23
23-3= 20
20+2= 22
22-3= 19
19+2 = 21
21-3= 18
18+2 = 20
3 0
3 years ago
In six grade class, 3/7 of the students are boys, and 5/8 of these boys are in Ms. Jones’ class. What fraction of the entire six
Damm [24]

Think of the entire population of 6th graders here. 3/7 are boys and 4/7 are girls. 5/8 of these boys are in Ms. Jones' class; that fraction would be (5/8)(3/7), or 15/56. This 15/56 represents the fraction of the entire sixth grade class who are in Ms. Jones' class.


8 0
3 years ago
Read 2 more answers
Other questions:
  • Troy is making a flag shaped like a square. Each side measure 12 inches. He wants to add ribbon along the edges. He has 36 inche
    14·2 answers
  • What is 2625 in expanded form
    10·2 answers
  • What the value of the digit 4 in 42,780
    7·1 answer
  • (4) (5) Geometry help
    7·1 answer
  • Without graphing ,find where each parabola crosses the x-axis.a) y=x^-2x-3
    7·1 answer
  • How much would it cost to fence in this property if fencing costs $5.00 per foot?
    11·1 answer
  • Carrie saved money to spend while on a one-month vacation to Europe. On day 8, she had $2,400 remaining. On day 16, she had $1,6
    10·2 answers
  • Mark and Henry are marking exam papers. Each set takes Mark 25 minutes and Henry 1 hour. Express the times Mark and Henry take a
    9·2 answers
  • Two angles are complementary. Angle 1 has a
    5·1 answer
  • Remember to KCF. Help me with this
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!