if we have a geometric series with u1 = 2.1 and r= 1.06, what would the least value of n be such that Sn > 5543?
Answers
Answer:
88
Step-by-step explanation:
Write the expression for the sum in the relation you want.
Sn = u1(r^n -1)/(r -1) = 2.1(1.06^n -1)/(1.06 -1)
Sn = (2.1/0.06)(1.06^n -1) = 35(1.06^n -1)
The relation we want is ...
Sn > 5543
35(1.06^n -1) > 5543 . . . . substitute for Sn
1.06^n -1 > 5543/35 . . . . divide by 35
1.06^n > 5578/35 . . . . . . add 1
n·log(1.06) > log(5578/35) . . . take the log
n > 87.03 . . . . . . . . . . . . . . divide by the coefficient of n
The least value of n such that Sn > 5543 is 88.
Related Questions
Filling up a tank of gas costs $36.96. If the tank holds 16.5 gallons of gas, then how much d
each gallon cost?
Answers
Answer:
$2.24 per Gallon
Step-by-step explanation:
36.96 divided by 16.5 is 2.24, then to check that multiple 2.24 by 16.5 and you get the total cost of 36.96. Hope this helps.
If ΔMTV is reflected across the y-axis, what are the resulting coordinates of point M?
(-2, -5)
(-2, -5)
(5, -2)
(5, -2)
(-2, 5)
(-2, 5)
(-5, 2)
(-5, 2)
Answers
The answer is A (-2,5).
HOPE IT HELPS (◕‿◕✿) SMILE!!solve the equation. 4.6g +9+1.6g +21 what is g
Answers
Answer:
= 6.2g+9
Step-by-step explanation:
Faith is driving to a concert and needs to pay for
parking. There is an automatic fee of $7 just to enter
the parking lot, and when she leaves the lot, she will
have to pay an additional $2 for every hour she had her
car in the lot.
Answers
Answer: $7 + 2h = Will be the price she pays when she leaves.
Step-by-step explanation:
Please help!
(Please do not answer with links or “idk but good luck”)
2(4z + 9) = 34
Answers
Distribute: 8z + 18 = 34
Then subtract 18 from both sides
8z = 16
Divide both sides by 8 to isolate z
Answer: z=2
Step-by-step explanation:
a restaurant customer left 0.70 as a tip the tax was 8% and the tip was 10% of the after cost which information is not needed to compute the bill after tax and tip what was the total bill
Answers
Answer:the answer is b.
Step-by-step explanation:
What is the rate of change of the line through (-2,-2) and (-1,5)?
Answers
Answer:
The rate of change or the slope is 7. (If you were to graph this, you would use 7/1.
Step-by-step explanation:
To find the slope when you're given two sets of points, you must find the distance from the y values and the distance from the x values!
Y values: distance from -2 to 5 is +7
X values: distance from -2 to -1 is +1
7/1 or just 7.
Hope this helps! :)
What is the midpoint of a line segment with the endpoints of (-4, -4) and (6, 14)
(10, 18)
(2, 10)
(-1, 4)
(1, 5)
Answers
Answer:
The midpoint is ( 1,5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
( -4+6)/2 = 2/2 =1
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
( -4+14)/2 = 10/2 =5
The midpoint is ( 1,5)
Which statement describes the mapping? A. The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value. B. The mapping does not represent y as a function of x, because two of the x-values correspond to the same y-value. C. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value. D. The mapping does not represent y as a function of x, because there are more x-values than different corresponding y-values.
Answers
Answer:
The answer is
C. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.
Step-by-step explanation:
In mathematics, mapping is used synonymously to a function, and a function is basically a relation between two values or expressions say y and x
like the difference equation relating y and x.
In a function, for every value of x plugged into the function there is always a corresponding value of y.
Example.
Given the function
y=2x+5.
find the value of y when x=0
we are going to substitute x=0 and solve
y=2(0)+5
y=5
so for x=0 y=5
HEY CAN YALL ANSWER DIS PLS!!!
Answers
Answer:
a
Step-by-step explanation:
i just multiplied
Answer:
A. $63.60
Step-by-step explanation:
Multiply $7.95 x 8
This equals $63.60
HELP HURRY. What is the sum when you simplify the expression 3 + (-4)?
Answers
Answer:
-1
Step-by-step explanation:
ASAP
Level 3
The volume of a rectangular pool is the product of the pool's area and depth. Suppose a pool that is 12 feet deep has
a volume of 10368 ft? What is the area of the pool?
The area of the pool is
square feet.
The area of the pool is the product of the pool's length and width. Suppose the pool's length is 24 ft. What is the
pool's width?
The pool's width is
feet
Answers
Answer:
The area of the pool is [tex]864\ ft^2[/tex]
The pool's width is 36 ft
Step-by-step explanation:
Volume and Area
The volume of a rectangular pool is the product of the pool's area and depth. We are given the pool's depth d=12 feet and the pool's volume V=10368 [tex]ft^3[/tex]
Since:
[tex]V= d*A[/tex]
Solving for A:
[tex]\displaystyle A=\frac{V}{d}=\frac{10368}{12}=864\ ft^2[/tex]
The area of the pool is [tex]864\ ft^2[/tex]
Now we calculate the pool's width, knowing the area is the product of the pool's length and width. Knowing the length is L=24 ft:
[tex]A=L*W[/tex]
Solve for W:
[tex]\displaystyle W=\frac{A}{L}=\frac{864}{24}=36[/tex]
The pool's width is 36 ft
What is the measure in degrees of the smaller of the angles formed by the hands of a clock at 7:48?
Answers
Answer:
So the measure in degrees of the smaller angle formed by the hands of the clock at 7:48 is 24 degrees
Step-by-step explanation:
At 7:48 , we have two angles formed
One formed by the hour and the other formed by the minute hand
The angle formed by the hour hand will be;
7/12 * 360 = 210 degrees
Let’s now go for the minutes hand
mathematically;
60 minutes = 360 degrees
So 48 minutes will be ;
Recall;
there are 12 hours on a clock, so each hour will be 30 degrees
So the angle for 48 minutes will be;
48/60 * 30 = 24 degrees
What is the equation of a line with a
slope of -2 and crosses the vertical axis
at the point (0, 5)?
Answers
Answer:
y=-2x+5
Step-by-step explanation:
the slope is m and the y-intercept is b in the form y=mx+b, and -2 is the slope and 5 is the y-intercept in this equation, so y=-2x+5
Answer:
y=-2x+5
Step-by-step explanation:
y=mx+b
m is the slope which is -2
b is the y intercept which is given in the problem, 5
Use the properties of logarithms and the values below to find the logarithm indicated. Do not use a calculator to evaluate the logs. Show your work on the right using the draw tool. Log rules are included for reference at the bottom of the slide.
Answers
Answer:
02.
Step-by-step Explanation
[tex]log \frac{3}{2} \\ \\ = log \frac{3 \times 4}{2 \times 4} \\ \\ = log \frac{12}{8} \\ \\ = log 12 - log 8 \\ \\ = 1.1 - 0.9 \\ \\ = 0.2 \\ \\ \huge \red{ \boxed{log \frac{3}{2} = 0.2}}[/tex]
Answer: 0.2
Step-by-step explanation:
We have to find [tex]log \frac{3}{2}[/tex].
We are given log 12 and log 8, the farthest.
Subtract to find the number you have to multiply by.
3 x 4 = 12 and 2 x 4 = 8.
Our next fraction will be [tex]log \frac{12}{8}[/tex]
Now, subtract log 12 (1.1) by log 8 (0.9)
1.1 - 0.9 = 0.2
So, the answer to the question is 0.2
pls answer i need answer fast
Answers
Answer:
-24
Step-by-step explanation:
Given expression:
3z (2y - 4)²
z = -2 and y = 3
To solve this problem, simply substitute:
3z (2y - 4)² = 3(-2){2(3) - 4}²
= -6(6-4)²
= -6 (2)²
= -6 x 4
= -24
Answer:
The answer is -24
Adrian can run 9 miles in 3 minutes
Answers
Answer:
ummmm cool
Step-by-step explanation:
Answer:
He's probably just an alien or somethin- i mean yea lol
Step-by-step explanation:
pls help
A:1/360
B:1/180
C:1/90
D:1/100
Answers
Answer: A) 1/360
This is because there are 360 degrees in a full circle.
The system of equations graphed below has how many solutions?
A. 0
B. 1
C. Infinitely many
D.2
Answers
Answer:
A. 0
General Formulas and Concepts:
Perpendicular Lines always have 1 solution.
Parallel Lines always have no solution.
Same Lines always have infinite amount of solutions.
Step-by-step explanation:
We see from the graph given that the 2 lines are parallel. Since they are parallel, they will never intersect.
Therefore, we would have no solution, or 0 solutions, as our answer.
Which equation has the same solution as this equation?
x^2-16x+12=0
Answers
Landen has violin lessons every 3rd day and singing lessons every 5th day. Today Landen has both lessons. In how many days will Landen have both lessons on the same day again?
Answers
Answer:
The 15th day
Step-by-step explanation:
Violin Lessons - 3, 6, 9, 12, 15
Singing Lessons - 5, 10, 15
Landen will have violin and singing lessons on the fifteenth day.
Hope this helped! :)
helpppppppppppppppppppppppp
Answers
Answer:
By looking at the sides. BC is the same as HJ and 3 is half of 6. That goes with the rest of the equation
AC = GJ
AB = HG
So then the change in BCA is Double of GHJ
3(2x - 7) = 5(x + 3) + 2x7
Answers
Answer:
x = -1.52016
Step-by-step explanation:
Step 1: Write equation
3(2x - 7) = 5(x + 3) + 2x⁷
Step 2: Solve for x
Distribute: 6x - 21 = 5x + 15 + 2x⁷Subtract 6x on both sides: -21 = -x + 15 + 2x⁷Add 21 to both sides: 0 = -x + 36 + 2x⁷Rearrange: 0 = 2x⁷ - x + 36Find roots by graphing: x = -1.52016The Smith family and the Jackson family are having their basements remodeled. the Smiths contractor charge $16.50 an hour plus $289 in supplies. the Jackson’s contractor charge is $18.75 an hour and $274.60 and supplies. at how many hours of work with the total cost be the same for both families
Answers
Answer:
6.4 hrs
Step-by-step explanation:
16.5h + 289 = 18.75h + 274.6
16.5h-18.75h = 274.6-289
-2.25h=-14.4
h=14.4/2.25
h=6.4 hrs
check
6.4×16.5=105.6
105.6+289=394.6
18.75×6.4=120
120+274.6=394.6
Which gives the correct domain and range for the following relation: (-3, 2) , (0, 4) ,
(-3, 0) , (1, 4)
A. Domain: {-3, 0, 4}, Range: {2, 4}
B.
Domain: {-3, 0, 1}, Range: {0, 2, 4}
C.
Domain: {-3, 0, 4}, Range: {0, 2, 4}
D.
Domain: {-3, 0, 1}, Range: {2, 4}
Answers
Our class buys oranges for 25¢ each and sells them for 50¢ each. If each student in our class of 30 sells 10 oranges, how much money, in dollars, will we make?
Answers
Answer:
$75 Have a nice day! :)
here is how 50 x 10 = 500 500 x 30 = 15000 15000 divided by 2 = 7500 converted to dollars is $75
Answer:
$75.00
Step-by-step explanation:
50¢-25¢=25¢
30×10=300
300×25¢=7500¢
7500¢=$75$
Round 9.8846387057 to the nearest whole number.
Answers
Answer:
10
Step-by-step explanation:
Hey there! The answer is 10 because if it is 9.5 or higher you will round it up to the nearest number. In this case, you are rounding 9.88, so you round up to the nearest whole number, which is 10.
~I hope I helped you! :)~
Answer:
10
Step-by-step explanation:
r/10+4=5 answer plzz
Answers
Answer:
r = 10
Step-by-step explanation:
Solve for r by simplifying both sides of the equation, then isolating the variable.
Does anyone know this?
Answers
Answer:
obtuse scalene
Step-by-step explanation:
Answer:
Obtuse Scalene
Step-by-step explanation:
all the sides have different numbers
Find the equation of this line
Answers
using y2-y1/x2-x1
-4-2/3-2
-6/1
slope (m) is -6
to find b part of equation (y=mx+b) plug in point value for x and y
2=-6(-4)+b (multiply -6 and -4)
2=24+b (subtract 24 over)
b=-22
final equation is y=-6x-22
