Answer:
a) [tex]t_{1} = 12[/tex]
b) The explicit formula
[tex]t_{n} = ar^{n-1} = 12(2.5)^{n-1}[/tex]
c) t₁₈ = 69,849,193.096
Step-by-step explanation:
Step(i):-
Given that the geometric sequence
r = 2.5
Given the fourth term of the geometric sequence
[tex]t_{4} = ar^{3} = 187.5[/tex]
⇒ ar³ = 187.5
⇒ a (2.5)³ = 187.5
[tex]a = \frac{187.5}{(2.5)^{3} } = 12[/tex]
The explicit formula
[tex]t_{n} = ar^{n-1} = 12(2.5)^{n-1}[/tex]
Step(ii):-
put n=1
[tex]t_{1} = ar^{1-1} = 12(2.5)^{1-1} = 12 (2.5)^{0} = 12[/tex]
The [tex]18^{th}[/tex] of the geometric sequence
[tex]t_{18} = ar^{18-1} = a r^{17}[/tex]
[tex]t_{18} = 12( 2.5)^{17}[/tex]
t₁₈ = 69,849,193.096
Final answer:-
a) [tex]t_{1} = 12[/tex]
b) The explicit formula
[tex]t_{n} = ar^{n-1} = 12(2.5)^{n-1}[/tex]
c) t₁₈ = 69,849,193.096
How much simple interest does $2000 earn in 9 months at an interest rate of 1.5%
Answer:
270
Step-by-step explanation:
2000 x 0.015=30
30x9=270
Hope I helped!
Anybody know the answers??? Helpppp
Answer:
2. x = 135
Step-by-step explanation:
im not sure about question 1
Please help me with this ASAP !!!!<333
Write the fraction or mixed number as a percent.
2 3/10
Answer:
230%
Step-by-step explanation:
2x3/10=23/10=2.3x100%=230%
Solve for h. Show your work.
94 = 87 + l/h
9514 1404 393
Answer:
h = l/7
Step-by-step explanation:
Subtract 87, multiply by h, divide by 7.
94 = 87 + l/h . . . . given
7 = l/h . . . . . . . . . subtract 87
7h = l . . . . . . . . . multiply by h
h = l/7 . . . . . . . . . divide by 7
Consider the line - 3x+2y=6.
Find the equation of the line that is perpendicular to this line and passes through the point (7, – 4).
Find the equation of the line that is parallel to this line and passes through the point (7, – 4).
Equation of perpendicular line: 1
=
x
6
?
Equation of parallel line:
Answer:
1600's missive skydiving found slosh combining freezers do naughtiness
SOMEONE PLEASE HELP ME ASAP THIS IS ALMOST DUE ILL MARK BRAINLIEST!!!!
Answer:
30 ft
Step-by-step explanation:
Hi!
So according to the Pythagorean theorem, a^2 + b^2 = c^2
Ok, so let's just plug those numbers in:
18^2 + 24 ^ 2 = c^2
324 + 576 = c^2
900 = c^2
[tex]\sqrt{900}[/tex] = c
[tex]\sqrt{900}[/tex] = 30
x = 30
You could also use Pythagorean triples, and there are Pythagorean triples for this which is 3:4:5; and since it's a ratio, we can write it as 3x:4x:5x. Then, according to a and b, x would equal 6, so then we plug in x:
3(6):4(6):5(6)
and you get:
18:24:30
Let me know if you have any questions.
lan spent $23.53 on eating out this week, $40 on gasoline, and $20 on a school function. How much were his total cash outflows?
please help me asap
Which fraction can be expressed as a non-terminating decimal?
Answer:
[tex]\frac{7}{9} = 0.777777 ..[/tex]
[tex]\frac{1}{3} = 0.33333..[/tex]
Step-by-step explanation:
Explanation:-
Non -terminating decimals are the one that does have an end term. it has infinite number of terms
Example :-
[tex]\frac{7}{9} = 0.777777 ..[/tex]
[tex]\frac{1}{3} = 0.33333..[/tex]
23 clothespins are placed on a clothesline at 2-foot intervals. How far is it from the first clothespin to the last one
B) Plot the point B(2,-2) and C(-3,0) on the grid.
Answer:
Step-by-step explanation:
For B it would be 2 to the right and 4 down from the origin and for C it would be three to the left and that’s it from the origin
Multiply out (expand) the following bracket
5(x - 3)
Step-by-step explanation:
5x - 15 we multiply the barclet value by 5
Step-by-step explanation:
5(x-3)= 5×x - 5×3
= 5x-15
Find the geometric proof
Answer:
See Explanation
Step-by-step explanation:
Line l is bisector of MO... (given)
[tex] \therefore MN = NO.... (1)[/tex]
[tex] \because MN + NO = MO..(M-N-O)[/tex]
[tex] \therefore NO + NO = MO..[From \:(1)] [/tex]
[tex] \therefore 2NO = MO [/tex]
[tex] \therefore NO = \frac{1}{2} MO [/tex]
[tex] \therefore NO = \frac{1}{2}\times 24..(\because MO=24)[/tex]
[tex] \therefore NO =12[/tex]
Thus Proved
Answer:
67 the dhjguuugf
Step-by-step explanation:
Ducati I am so
What sign is a result of a negative integer raised to an even power
Answer:
+
Step-by-step explanation:
Which of the following functions is graphed below
Isaiah's regular hourly rate is $12.50. When he works overtime he receives an hourly rate of 1½times his
regular hourly rate. What is Isaiah's hourly overtime rate?
Students in the fifth-grade class bought 28 yards of fabric to make pennants for a pep rally.
Each pennant requires 13 yard of fabric.
If the students have already made 35 pennants from the fabric, how many more pennants can they still make?
A. 63 pennants
B. 49 pennants
C. 21 pennants
D. 7 pennants
Answer:
C. 21 pennants
Step-by-step explanation:
35-28=7
7 divided by 1/3= 21/1 or 21
The number of pennants that can be made is given by equation A = 49 pennants
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the number of pennants required be represented as A
The amount of fabric bought by students = 28 yards
The amount of fabric required by each pennant = 1/3 yards
The total number of pennants made by students = 35 pennants
So , the number of pennants that can be made is N
N ( 1 / 3 ) = 28 be equation (1)
Multiply by 3 on both sides , we get
N = 84 pennants
So , the remaining number of pennants A = N - number of pennants made by students
On simplifying the equation , we get
The remaining number of pennants A = 84 - 45
The remaining number of pennants A = 49 pennants
Hence , the number of pennants is 49
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ3
over dinner one evening, another black mathematician told Dr.Goins that he was worried that hos blog account of the difficultes he faced might discourage black graduate students who hope to pursue careers in academic research, what was his response?
Answer:
Step-by-step explanation:
BALTIMORE It was not an overt incident of racism that prompted Edray Goins, an African-American mathematician in the prime of his career, to abandon his tenured position on the faculty of a major research university last year.
The hostilities he perceived were subtle, the signs of disrespect unsp_ken.
And at the recent math meeting, where Dr. Goins delivered a keynote address titled “A Dream Deferred: 50 Years of Bl_cks in Mathematics,” his presence kindled conversations about racial slights in the math world. The presumption of competence and authority that seems to be automatically acc0rded other mathematicians, for instance, is often not applied to them, several bl_ck mathematicians said.
(hope this helps can i plz have brainlist :D hehe)
now you can make their answer the brainliest (:
HELP ME PLEASE I WILL GIVE BRAINLIEST HELP PLS PLS PLS
Answer:
Either 180 feet, or 90 feet
Step-by-step explanation:
This is because she could just throw across the field rather than throwing it base to base.
I hope you understand!
18% commission on a $500 couch
bro can someone pleaseee help me
what is the growth factor of y=1.5(0.5)^x ?
Answer:
Growth factor = 5
Step-by-step explanation:
Given
[tex]y = 1.5(0.5)^x[/tex]
Required
Determine the growth factor
An exponential function is represented as: [tex]y = ab^x[/tex]
Where b is the growth factor
By comparing: [tex]y = ab^x[/tex] to [tex]y = 1.5(0.5)^x[/tex]
[tex]b = 0.5[/tex]
Hence, the growth factor is 5
of
On Sunday a burger Shop
Sold a cochbined total
231 hamburgers and
Cheeseburgers The number
or Cheeseburgers sold was
2 times the number of
hamburgers sold. How
many
hamburgers Sold
Step-by-step explanation:
1 : 2
Hamburger cheeseburger
(you add the 1 & 2 to make 3)
231÷3=77
1×77=77
2×77=154
77 : 154
Hamburger cheeseburger
Hope it make sense :-)
Michael is buying birthday presents for his five friends. he would like to spend less than $150 total. on average, How much can he spend on each person? write out the inequality as well.
10p - 3(-0.9p -0.8)
rewrite in simplest terms for 13 points! thank you
Answer:10p−3(−0.9p−0.8)
=10p+(−3)(−0.9p)+(−3)(−0.8)
=10p+2.7p+2.4
Combine Like Terms:
=10p+2.7p+2.4
=(10p+2.7p)+(2.4)
=12.7p+2.4
Step-by-step explanation:
Can’t get the answer for this
Which expression is equivalent to
?
WIN ON
o
comº
Answer:
Third One
Step-by-step explanation:
Plz solve as a ordered pair Plz
Show instructions
Questions 1-5 of 5 | Page 1 of 1
Question 1 (1 point)
A cab company charges $2 per cab ride, plus an additional $2 per mile driven. If a cab ride is 7 miles long, how
much will it cost?
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Question 2 (1 point)
Rachel has already written 3 pages, and she expects to write 2 pages for every additional hour spent writing.
Write an equation that shows the relationship between the hours spent writing h and the total pages written p.
David wants to donate $400 to a charity. He has already saved $125. He earns $9 each day at his after-school job. What is the least number of days that David must work to earn $400?
Answer:
About 31 days
Step-by-step explanation:
Since he already has $125, you can subtract that amount from how much he needs to earn. $400 - $125 = $275 that he must earn.
Divide the remaining amount by how much he earns a day to find the number of days he must work to reach his goal.
$275 ÷ $9 ≈ 30.5 (I got 30.5 repeating). I rounded up to 31 days.