Answer: i+96
Step-by-step explanation:
Note that [tex]i^{4k}[/tex], where k is an integer, is equal to 1.
This means that [tex]i^{4!}=i^{5!}=i^{6}=\cdots=i^{99!}+i^{100!}=1[/tex]
So, we can rewrite the sum as [tex]i^{1}+i^{1}+i^{2}+i^3+97(1)=i+i-1-i+97=i+96[/tex]
[tex]n![/tex] is divisible by 4 for all [tex]n\ge4[/tex]. This means, for instance,
[tex]i^{4!} = \left(i^4\right)^{3!} = 1^{3!} = 1[/tex]
[tex]i^{5!} = \left(i^4\right)^{5\times3!} = 1^{5\times3!} = 1[/tex]
etc, so that [tex]i^{n!} = 1[/tex] for all [tex]n\ge4[/tex].
Meanwhile,
[tex]i^{0!} = i^1 = i[/tex]
[tex]i^{1!} = i^1 = i[/tex]
[tex]i^{2!} = i^2 = -1[/tex]
[tex]i^{3!} = i^6 = (-1)^3 = -1[/tex]
Then the sum we want is
[tex]i^{0!} + i^{1!} + i^{2!} + i^{3!} + 97\times1 = i + i - 1 - 1 + 97 = \boxed{95+2i}[/tex]
Stephen Simmons received a single payment loan for a loan for $6,200. he agreed to repay the loan and 160 days at an interest rate of 10% ordinary interest. What is the maturity value of his loan when he pays it back in 160 days. 
9514 1404 393
Answer:
$6475.56
Step-by-step explanation:
The maturity value is ...
A = P(1 +rt)
where P is the principal amount, r is the annual rate, and t is the number of years. For ordinary interest, a year is 360 days, so the number of years is 160/360 = 4/9.
The loan value is ...
A = $6200(1 + 0.10×4/9) ≈ $6475.56
Stephen's loan has a maturity value of $6,475.56.
2. Izza walked 5 steps forward, 8 steps backward, 9 steps forward and 3 steps backward. How
many steps is Izza from where she started?
3. Samuel was at the ground floor when he decided to go to the fourth floor. He then went down 2
or and went up 7 more floors. Where is he now?
On a winter night the temperature dropped f.rom -6°C to -15°C. How many degrees did the
Tamperature drop?
Answer:
Izza walked 3 steps forward
samuel is on the 9th floor
-9 degrees
Step-by-step explanation:
Use the tangent to find the length of side PR.Express your answer to the nearest tenth.
Answer:
PR = 4.9
Step-by-step explanation:
For given angle Q, RQ is the adjacent leg, and PR is the opposite leg.
We recall the meaning of the tangent ratio.
tan A = opp/adj
Here we have
tan Q = opp/adj
tan 51 deg = PR/4.0
PR = 4.0 * tan 51 deg = 4.9
Answer: PR = 4.9
please help me thank you
Answer:
y+3=-3/5(x + 5)
Step-by-step explanation:
3x+5y=15 has a slope of -3/5. With the point (-5,-3) that would be y + 3= -3/5(x + 5) in point slope form.
Find the m AB
X
34°
B
34°
68°
146°
56°
Answer:
68°
Step-by-step explanation:
Given
<AXB = 34 °
Arc AB = 2 * <AXB ( Relation between arc and inscribed angle)
Arc AB = 2 * 34°
= 68°
Hope it will help :)
Please help this is due today!
Use the diagram to complete the statements using correct notation. If there is not enough information to prove congruency, explain why:
Example cannot be determined
If it’s a congruent, the congruence reason has to be SAS SSS ASA OR SAA
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
Can not be determined.
Step-by-step explanation:
From the figure attached,
In ΔHFS and ΔIFS,
Side HS ≅ Side HI [Given]
∠HFS ≅ ∠IFS [Given]
Side FS ≅ Side FS [Reflexive property]
But there is no property of SSA (Side-side-angles for the congruence of two triangles)
Therefore, answer is "can not be determined".
Evilate the functions
f(x+7)=
Answer:
hindi ko alam pano bayanpasenya naWhat is the answer to n/4 = -9
Answer: n=-36
Step-by-step explanation:
Answer:
-36
Step-by-step explanation:
n/4=-9
Can be rewritten as
n/4 x 4 = -9x4
simplify
n=-36
Please help this is due today!
Calculate the unknown missing angle measures.
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
well it is a right trianlg that means that the first side is 90 degrees
and the other two sides are 45 because they look the same angles so 180 minus 90 = 90 divide that by 2 to get 45
Step-by-step explanation:
¿Cómo se dice 80 en números romanos?
Answer:
PLEASE MARK ME BRAINLEST...
Step-by-step explanation:
Para leer y escribir correctamente el número 80 como número romano LXXX, debe leerse y escribirse de izquierda a derecha, y de mayor a menor número.
Answer:
Guessing that Romanos means Roman Numerals = LXXX
Step-by-step explanation:
L=50
X=10
10X3= 30
30+50=80
The zoo charges $14.50 for each visit, or you can buy a membership for $100
Answer:
Step-I’m going to need more information
Answer:
ill rather buy the membership
Step-by-step explanation:
Because its less money for more times to go to the zoo.
What equivalent ratio to 5:15?
Answer:
10 : 30
Step-by-step explanation:
Answer:
10:30
----------------------
A bank pays 3.4% annual interest,
compounded monthly. If $1550 is invested
for 11 years, what will be the ending value
of the account?
Answer:
$2,251.79.
total compound should be is $701.79.
Step-by-step explanation:
plecorato de potasio es elemento
Answer:
no es un elemento de la tabla periódica
math 2 help ummmmmyeah
Answer:
1. 38 degrees
2. 38 degrees
Step-by-step explanation:
It tells you that angle 1 is 38 degrees, and they are supplementary angles, which means angle 2 is also 38 degrees.
Hope this helps :)
Let me know if there is anything to fix!!
6p² equals to..................
Answer:
36p is the correct answer
if a Biro costs 12.50naira. How many biros can buy with 300 naira?
Answer:
300\12.50
Step-by-step explanation:
that will be your answer bra
21 x 15 = (20 + 1) x 15 =
Answer:
hello! have a good day!
21 x 15 = (20 + 1) x 15 = 315
I need the answer asap!!
Answer:
Step-by-step explanation:
x² × 2x² = 2x^4 (2x to the power of 4)
x² × -3x = -3x³
+3 × 2x² = 6x²
+3 × -3x = -9x
2x^4 , -3x³ , 6x², -9x
In bold are the bottom two
For the sequence defined by a1=2
An+1=5/an-4
Answer:
i thnk is 239.213
Step-by-step explanation:
Help pls!!!!!!!!!!!!!!!!!!!!!!!!! Questions 2 Five students scored 80 on a test, five students scored 85, and five students scored 90.
Complete each statement below by inserting the correct number
a. The mean is equal to
b. The median is equal to
C. The range is equal to
d. The mean absolute deviation is equal to
Answer:
Ñ consigo responder pois estar em inglês
Use this model to calculate
3/8 times 2/6
A.16/18 B.13/24 C.6/48 D5/48
Answer:
Step-by-step explanation:
i do not see any model, but the answer is
3/8*2/6=6/48
The solution of the expression 3/8 times 2/6 is,
⇒ 6/48
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The expression is,
⇒ 3/8 times 2/6
Now, We can simplify as;
⇒ 3/8 times 2/6
⇒ 3/8 × 2/6
⇒ 6/48
Thus, The solution of the expression 3/8 times 2/6 is,
⇒ 6/48
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ3
please tell fast plzzzzzz
Step-by-step explanation:
1x+4x=180(sum of supplementary angles)
5x. =180
x. =180/5
x. = 36
Word problem please help thank you
Answer:
The equation would be P(t) = 280t + 3310
The estimated number of moose in 2008 would be 8350 moose.
Step-by-step explanation:
First we will have to find out by how much will the number of moose increase each year. In order to do that we the number by which the population of moose increase, by the difference between 1991 and 1999. And so we get...
[tex]\frac{5830-3590 }{1999 - 1991} = \frac{2240}{8} = 280[/tex]
Now that we know by how much the number of moose increases each year, we can make the following equation...
Let "t" be the number of years from 1990, then...
P(t) = 280t + 3310
(if you are wondering why is it 3310, it is because you have to put in the number of moose that was there in 1990 and you can get that number by substracting 280 from the number of moose in 1991).
Based on the linear relation we figured out, the number of moose in 2008 would be predicted to be...
P(t) = 280t + 3310
P(2008 - 1990) = 280(2008 - 1990) + 3310
P (18) = 280(18) + 3310
P(18) = 8350
What expression simplifies to 2i ? help asap lots of points
Answer:
Step-by-step explanation:
First, consider the following expression.
(6x + 8) + (4x + 2)
To simplify this expression, you combine the like terms, 6x and 4x. These are like terms because they have the same variable with the same exponents. Similarly, 8 and 2 are like terms because they are both constants, with no variables.
(6x + 8) + (4x + 2) = 10x + 10
Can you please help me
Step-by-step explanation please
Answer:
x=9
Step-by-step explanation:
It’s a ratio.
2/6=5/(6+x)
cross-multiply
12+2x=30
2x=30-12
2x=18
x=9
Or even more simply:
2/6=3/x
2x=18
x=9
A explanation would help very much
Answer:
x = 14
y = 40
Step-by-step explanation:
3y+8 = 128
3y = 120
y = 40
45/20=2.25 (scale factor)
5x-25 = 2.25(2x-8)
5x-25 = 4.5x - 18
.5x = 7
x=14
what is the solution of 4 + √ 5x + 68 = x + 10
Answer:X=3
Step-by-step explanation: Option B
I have 21 students and each picture takes 3 minutes and each class picture takes 10 minutes
Answer:
It would take 73 minutes in total.
Step-by-step explanation:
21 students x 3 minutes = 63 minutes
63 + 10 = 73
I hope this is what you were asking :)
12 x satisfies the inequality: 2x -8 < 12
Create an inequality to represent all the possible values of x.
Answer: x<10
Step-by-step explanation:
2x-8<12
2x-8+8<12+8
2x<20
[tex]\frac{2x}{2}[/tex]<[tex]\frac{20}{2}[/tex]
x<10