Answer:
[tex]E(n)=75000 \times 2^n[/tex]
Complete question:
write a function that gives mapiyas cumulative earnings E(n), in dollars when she has written n sequel's
Step-by-step explanation:
According to the question, she earned $75000 for the first book.
Also,We are given that her cumulative earnings double with each sequel that she writes.
Assuming she has written n sequel's
Now since we are given that her cumulative earnings double with each sequel
So, her initial earning will be [tex]2^n[/tex] times
So, her earning will be : [tex]75000 \times 2^n[/tex]
Now we are given that cumulative earnings is denoted by E(n)
So, the function becomes :[tex]E(n)=75000 \times 2^n[/tex]
Hence a function that gives Mapiya's cumulative earnings E(n), in dollars when she has written n sequel's is [tex]E(n)=75000 \times 2^n[/tex]
Please help this is past due
Answer:
See below.
Step-by-step explanation:
Alexi originally has $43 in his bank account and deposits $7 per week.
Week 1: $50
Week 2: $57
Week 3: $64
Week 4: $71
Week 5: $78
The pattern is that it increased $7 every week starting from $43.
A pattern rule would be: y = 7x + 43 where x represents the number of weeks.
(Literal equations) The formula for the volume of a cylinder is V = πr^2h. Solve V = πr^2h for h, the height of the cylinder. A. h= π/Vr^2 B. h= πr^2/V C. h= V/πr^2 D. h= πV/r^2
Answer:
C
Step-by-step explanation:
Given
V = πr²h
Isolate h by dividing both sides by πr²
[tex]\frac{V}{\pi r^2}[/tex] = h → C
Select the correct answer. Which economic indicator measures inflation? A. GDP B. CPI C. unemployment rate
Answer:
B
Step-by-step explanation:
The correct answer is CPI. It shows the average price over time paid by consumers.
Hope this helps! (Please consider giving brainliest)
P.S: This is not a mathematics question.
The economic indicator measures inflation among the options given is: C. unemployment rate
What is an economic indicator that measures inflation?CPI (Consumer Price Index) is the appropriate economic indicator for assessing inflation as it monitors price fluctuations of a designated basket of goods and services, giving insights into average price changes.
Conversely, GDP (Gross Domestic Product) quantifies the total value of goods and services produced in an economy, while the unemployment rate measures the percentage of the labor force without jobs.
Therefore, the answer is: C. unemployment rate
Learn more about inflation on:
https://brainly.com/question/21586910
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Factor 8d^2 - 18 ? HELP PLEASE!!!!
Answer:
2 ( 2d -3)(2d+3)
Step-by-step explanation:
8d^2 - 18
Factor out the greatest common factor 2
2(4d^2 -9)
Rewriting the terms in parentheses
2 (( 2d)^2 - 3^2)
We recognize that this is the difference of squares ( a^2 - b^2) = (a-b)(a+b)
2 ( 2d -3)(2d+3)
Answer:
[tex]2(2d-3)(2d+3)[/tex]
Step-by-step explanation:
[tex]8 {d}^{2} - 18 \\ 2(4 {d}^{2} - 9)
=2(2d-3)(2d+3) [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
if x
varies directly as y.
x=5 and y=10. find the
Value of a x when y=
3
Answer:
x = 1.5 when y = 3
Step-by-step explanation:
You can put this in a ratio:
x : y
5 : 10
1.5 : 3
x is 1.5 when y is 3.
The slope of a line is
oni -
and the y-intercept is 5. What is the equation of the line written in general
5'
form?
Answer:
I don't know what general 5' form means, but I'm guessing that means slope-intercept form, the easiest form of a linear equation. So we can use the equation for this is y = mx+b. M being slope, and b is the y-intercept. So that means that we will get an answer of:
y = 1x+5, you spelled 1 wrong so I just correct it.
Answer: y = x+5what type of solutions does this equation have
Answer:
2 imaginary solutions
Step-by-step explanation:
Find the value of x in the given right triangle.
Answer:
cosine = adjacent / hypotenuse
cosine (62) = x / 12
x = 12 * 0.46947
x = 5.6
Step-by-step explanation:
Find the exact value of each expression. sin75 degrees and cos(-75 degrees).
Answer:
0.965925826
0.258819045
Step-by-step explanation:
→If you were to calculate [tex]sin(75)[/tex], you would have a total of:
0.965925826
→If you were to calculate [tex]cos(-75)[/tex], you would have a total of:
0.258819045
Pat walked around a circular track she knew that the distance across The center was 100 meters if she walked around the entire track how far did she walk
Answer:
314.16 m
Step-by-step explanation:
The distance across the track is 100 metres. This means that the diameter is 100 m.
The track is circular, so, we need the circumference.
The circumference of a circle is given as:
C = πD
where D = diameter
Therefore, the circumference of the track is:
C = π * 100 = 314.16 m
She walked a distance of 314.16 m
what should be added to twice a rational Number -7/3to get 3/7
Answer:
107/21
Step-by-step explanation:
re - phrase the question algebraically:
-14/3 + y = 3/7
LCM of 3 and 7 = 21
-98/21 + y = 9/21
what should be added to -98 to make 9?
answer: 107
therefore answer: 107/21
Hope this helps.
Good Luck
Find the size of the final unknown interior angle in a polygon whose other interior angles are:
Answer:
Step-by-step explanation:(2ñ-4)90
(7×2-4)90
=900°
900-(162+125+148+105+98+115)
900-753
=147°
I’m tryna figure out how find the value of x
Step-by-step explanation:
tan(37) = x/3
x=tan(37)*3
From a point on the ground the angle of elevation of the top of a tower is x°. Moving 150 meters away from that point the angle of elevation was found to be y° .If tan x=3/4 and tan y=5/7 find the height of the tower.
Answer:
2250m
Step-by-step explanation:
Step 1
Since
Hence,
tan x = 3/4
tan y=5/7
tan x = BA/ CA where BA = height and CA = distance
3/4 = h/ d
4h = 3d
h = 3d/4.......... Equation 1
tan y = BA / DA + 150m
5/7 = h/d + 150
7 × h = 5(d + 150)
7h = 5d + 750............ Equation 2
Since h = 3d/4
7(3d/4) = 5d + 750
21d/4 = 5d + 750
Multiply both sides by 4
21d = 4(5d + 750)
21d = 20d + 3000
21d -20d = 3000
d = 3000
Distance (d) = 3000m
Substitute 3000m for d in equation 1
h = 3d/4
h = 3 × 3000/4
h = 2250m
Answer:
2250mStep-by-step explanation:
[tex]tangent=\dfrac{opposite}{adjacent}[/tex]
We have:
[tex]\tan x^o=\dfrac{3}{4}\\\\\tan y^o=\dfrac{5}{7}[/tex]
By definition of tangent, we have:
[tex]\tan x^o=\dfrac{AB}{AC}\\\\\tan y^o=\dfrac{AB}{AC+150}[/tex]
Therefore we have the system of equations:
[tex]\left\{\begin{array}{ccc}\dfrac{AB}{AC}=\dfrac{3}{4}&(1)\\\\\dfrac{AB}{AC+160}=\dfrac{5}{7}&(2)\end{array}\right[/tex]
From (1)
[tex]\dfrac{AB}{AC}=\dfrac{3}{4}[/tex] cross multiply
[tex]3AC=4AB[/tex] divide both sides by 3
[tex]AC=\dfrac{4AB}{3}[/tex]
Substitute it to (2):
[tex]\dfrac{AB}{\frac{4AB}{3}+150}=\dfrac{5}{7}\\\\\dfrac{AB}{\frac{4AB}{3}+\frac{3\cdot150}{3}}=\dfrac{5}{7}\\\\\dfrac{AB}{\frac{4AB}{3}+\frac{450}{3}}=\dfrac{5}{7}\\\\\dfrac{AB}{\frac{4AB+450}{3}}=\dfrac{5}{7}\\\\AB\cdot\dfrac{3}{4AB+450}=\dfrac{5}{7}[/tex]
[tex]\dfrac{3AB}{4AB+450}=\dfrac{5}{7}[/tex] cross multiply
[tex](3AB)(7)=(5)(4AB+450)\\\\21AB=(5)(4AB)+(5)(450)[/tex]
[tex]21AB=20AB+2250[/tex] subtract 20AB from both sides
[tex]AB=2250[/tex]
Such a tower height is rather impossible, but this is the solution.
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!
Answer:
-136x
Step-by-step explanation:
Pls brainliest
who can please help solve and explain
Answer:49882
when I put a number over a number it means I can't put the whole number inside the answer line so I toke out the last number and put it in
5 0 9
× 9 8
45810. this is from multiplying with the nine
+ 4062. this is from multiplying with the right
49882 this is the answer
u had to add the two answer and that's how I got 49882
Use the
DULive
(7 x 9) - (7 x 2) = (x (9 - 2)
Answer:
X=7
Step-by-step explanation: I
63-14=7x
7x=49
x=7
What is the approximate area of a sector of a circle with a radius of 8 cm, and a minor arc of 70 degrees?
Answer:
39.0953=39cm2
Step-by-step explanation:
Minor arc =70
Angle of arc=70
Then this sector =70/360=7/36 of the circle
Then area = 7/36x3.14x8x8=39cm2 approximatly
You can work a maximum of 40 hours a week. You need to make $440 in order to cover your expenses. Your office job pays $12 an hour and your babysitting job pays $10 an hour. What is the least possible number of hours you can work at your office job and still meet the requirements?
Answer:
The least possible number of hours you can work at your office job is 20.
Step-by-step explanation:
$12/h ----> office
$10/h ----> babysitting
"o" -----> hours office job
"b" -----> hours babysitting job
[tex]12x + 10y = 440\\x + y \leq 40\\12x + 10y = 440 -----> 6x + 5y = 220 ----> y = \frac{220-6x}{5} \\\\x + y \leq 40\\x + \frac{220-6x}{5} \leq 40\\5x + 220 - 6x \leq 200\\x \geq 20[/tex]
Solve for b.
2b + 9 = b
b =
Answer:
-9
Step-by-step explanation:
9=b-2b
9=-b
divide both sides by -
b=-9
Answer:
[tex] \boxed{b = 9} [/tex]
Step-by-step explanation:
[tex] = > 2b + 9 = b \\ \\ = > 2b - b + 9 = 0 \\ \\ = > b + 9 = 0 \\ \\ = > b = - 9[/tex]
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each division expression with the correct quotient.
6x - 8
5x - 8
2x + 6
8r - 2
6x + 5
2x + 5
50 + 6
5.1 – 2
A:(1812 + 150) - 3.1
B:(16x2 + 48x) - 81
C:(56x2 - 14x) = 7x
D:(20x2 – 32x) = 4x
Answer:
A. 6 x + 5
B. 2 x + 6
C. 8 x - 2
D. 5 x - 8
Step-by-step explanation:
Given: division expressions
To find: quotient of each of the division expressions
Solution:
Use formula: [tex]\left ( \frac{x^m}{x^n} \right )=x^{m-n}[/tex]
A.
[tex]\frac{18x^2+15x}{3x}=\frac{18x^2}{3x}+\frac{15x}{3x}=6x^{2-1}+5=6x+5[/tex]
B.
[tex]\frac{16x^2+48x}{8x}=\frac{16x^2}{8x}+\frac{48x}{8x}=2x^{2-1}+6=2x+6[/tex]
C.
[tex]\frac{56x^2-14x}{7x}=\frac{56x^2}{7x}-\frac{14x}{7x}=8x^{2-1}-2=8x-2[/tex]
D.
[tex]\frac{20x^2-32x}{4x}=\frac{20x^2}{4x}-\frac{32x}{4x}=5x^{2-1}-8=5x-8[/tex]
Answer:
A.[tex]\frac{18x^2+15x}{3x}=6x+5[/tex]
B.[tex]\frac{16x^2+48x}{8x}=2x+6[/tex]
C.[tex]\frac{56x^2-14x}{7x}=8x-2[/tex]
D.[tex]\frac{20x^2-32x}{4x}=5x-8[/tex]
Step-by-step explanation:
A.[tex]\frac{18x^2+15x}{3x}[/tex]
[tex]\frac{3x(6x+5)}{3x}[/tex]
=[tex]6x+5[/tex]
[tex]\frac{18x^2+15x}{3x}=6x+5[/tex]
B.[tex]\frac{16x^2+48x}{8x}[/tex]
=[tex]\frac{16x(x+3)}{8x}[/tex]
[tex]=2(x+3)[/tex]
[tex]=2x+6[/tex]
[tex]\frac{16x^2+48x}{8x}=2x+6[/tex]
C.[tex]\frac{56x^2-14x}{7x}[/tex]
[tex]=\frac{14x(4x-1)}{7x}=2(4x-1)=8x-2[/tex]
[tex]\frac{56x^2-14x}{7x}=8x-2[/tex]
D.[tex]\frac{20x^2-32x}{4x}[/tex]
=[tex]\frac{4x(5x-8)}{4x}=5x-8[/tex]
[tex]\frac{20x^2-32x}{4x}=5x-8[/tex]
What is the solution to the system of equations?
-2x + 3y = 13
3x + 4y = 6
Answer:
x = -2
y = 3
Step-by-step explanation:
You are given a system of two linear equations:
-2x + 3y = 13
3x + 4y = 6
One of the good ways to solve this system is trying to eliminate one variable (x or y), calculate the remaining variable and substitute the calculated variable back into system to solve for eliminated variable.
Here, we will manipulate the original system, so that we can easily eliminate x.
Let's multiply both sides of the first equation by 3 and the second equation by 2 (this manipulating step does not change the original system of equations).
3*(-2)x + 3*3y = 3*13
2*3(x) + 2*4y = 2*6
<=>
-6x + 9y = 39
6x + 8y = 12
Now, we add up two equations, left side + left side, right side + right side, we obtain:
-6x + 9y + 6x + 8y = 39 + 12
or
17y = 51
We divide both sides of equation by 17, to get y.
=> y = 51/17 = 3
Substitute y = 3 back into the first equation of system (or the second equation, it doesn't matter, here we choose the first one).
=> -2x + 3*3 = 13
=> -2x + 9 = 13
=> -2x = 4
=> x = -2
=> The solution of this system is (x, y) = (-2, 3)
Hope this helps!
:)
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:-5-1 c
Step-by-step explanation:
In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer and 0 for answer not attempted. Ram gets 3 correct and 4 incorrect out of 7 questions he attempted. What is his score?
Answer: He scored 7 marks
Step-by-step explanation:
Correct answer gets +5, so 5 * 3 = 15
Incorrect answer gets -2 so -2 * 4 = -8
So he scored 15 - 8 = 7
Arrange the trigonometric functions in increasing order of their values
cos π/6 sin π/6 cos π/2 sin π/2 cos π/4
Answer: pretty sure it's this
Step-by-step explanation:
Find a coterminal angle to -180 degrees.
Answer:
540 degrees
Step-by-step explanation:
Ronald spent $123.45 on school clothes. He counted his money and discovered that he had $36.55 left. How much money did he originally have?
Answer:
$123.45+$36.55
= $160
Step-by-step explanation:
Hector draws a triangle with exactly two sides that have the same length. Which of the following are possible ways to classify the triangle by its angle measures and side lengths? Select all that apply. A. right and isosceles B. acute and isosceles C. obtuse and scalene D. acute and scalene E. obtuse and isosceles
Answer:
I think it's A but I'm not sure
A toy store marks down every toy by 15% in June .how much does a toy cost during June
Answer:
15% less than its regular price
Step-by-step explanation:
If the toy is marked down 15% in June, its cost during June is 15% less than its regular cost. (It will be 85% of its regular cost.)
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!
Answer:
work is shown and pictured