Answer:
140.71
Step-by-step explanation:
WEEK 1- 100
WEEK 2- 105
WEEK 3-110.25
WEEK 4-115.7625
WEEK 5-121.550625
WEEK 6-127.62815625
WEEK 7-134.009564063
WEEK 8-140.710042266
By using an exponential equation, we will see that in the first 8 weeks she makes $954.90.
How much will she make in 8 weeks?
We know that the first week she makes $100, and for each week after that, she makes an extra 5%.
Then, the second week she makes:
W(2) = $100*(1 + 5%/100%) = $100*(1.05)
The third week she makes:
W(3) = $100*(1.05)*(1 + 5%/100%) = $100*(1.05)^2
We already can see the exponential pattern, for the N-th week, the salary will be:
W(N) = $100*(1.05)^(N - 1)
Then what she wins in the first 8 weeks is:
W(1) = $100W(2) = $100*1.05 = $105W(3) = $100*(1.05)^2 = $110.25W(4) = $100*(1.05)^3 = $115.75W(5) = $100*(1.05)^4 = $121.55W(6) = $100*(1.05)^5 = $127.63W(7) = $100*(1.05)^6 = $134.01W(8) = $100*(1.05)^7 = $140.71Now we just need to add these 8 values, we will see that the total money that she makes in these 8 weeks is:
M = $954.90
If you want to learn more about exponentials, you can read:
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Find the area of each. Round to the nearest tenth.
Answer:
346.361 Yd^2 rounded to the nearest tenth is 346.4 Yd^2
Step-by-step explanation:
The area of a disk is A=π[tex]R^2[/tex] where R=10.5 yard.
Answer:
346.2 yd^2
Step-by-step explanation:
Area of a circle: π*r^2π = 3.14radius (r) = 10.5 ydπ*r^2 <== substitute the numbers for pi(π) and radius(r)
3.14*10.5^2
3.14*110.25
346.185 <== round to the nearest tenth
346.2 yd^2
Hope this helps!
Calculate the z-test statistic for a hypothesis test in which the null hypothesis states that the population proportion, p, equals 0.14 if the following sample information is
present
n = 200
x= 31
(Round to two decimal places as needed.)
Z=
Answer:
The z-test statistic for a hypothesis test in which the null hypothesis states that the population proportion, p, equals 0.14 if the following sample information is present (n = 200; x = 31) is z = .6114.
Step-by-step explanation:
The z-test statistic formula is:
[tex]\displaystyle z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]We are given x = 31 and n = 200, so we can solve for [tex]\hat{p}[/tex] : 31/200 = .155.
The population proportion, [tex]p=.14[/tex], is given in the problem.
We can substitute the known values into the z test statistic formula:
[tex]\displaystyle z = \frac{.155-.14}{\sqrt{\frac{.14(.86)}{200} } }[/tex][tex]\displaystyle z=\frac{.015}{\sqrt {.000602}}[/tex][tex]z=.6114[/tex]The z-test statistic for this problem is z = .6114.
Number two please asap
J
Step-by-step explanation:
both Rue and Zoe they earned that same amount after working for 4 hours as you see that both line both hit the point (4,24)
What is 5389 rounded off to the nearest 100?
Answer:
5400
Step-by-step explanation:
the 89 is higher then 5 so it would round the 3 up to a 4
Answer:
5389 rounded to the nearest 100 is 5400
Step-by-step explanation:
we round the number up to the nearest 100 if the last 2 digits of the number are 50 an d over we round the number down to the nearest 100 if the last 2 digets are 49 and below
The Window has the shape of a kite. How many square meters of glass were used to make the Window
The window that has the shape of a kite has the area of the glass as 648 centimetre squared.
What is area of a figure?Area can be defined as the space occupied by a flat shape or the surface of an object. Therefore,
The window is the shape of a kite. Therefore, the square meters of the glass used for the window is the area of the window(kite).
Therefore,
area of kite = ab / 2
where
a and b are the length of the diagonalTherefore,
a = 18 + 18 = 36 cm
b = 15 + 21 = 36 cm
area of the window = 36 × 36 / 2 = 1296 / 2 = 648 cm²
learn more on area here:https://brainly.com/question/2494000
help me pleaseeeeeeee
Answer:
x = 25
Step-by-step explanation:
This is just algebra involved with geometry!
Your objective is to solve for x.
The line dividing the 2x-5 and x+20 is the bisector
A bisector means the two angles have to be equal!
Your objective is to solve for x.
The line dividing the 2x-5 and x+20 is the bisector
A bisector means the two angles have to be equal!
2x-5=x+20 should be the equation!
Subtract x from both sides
x-5=20
Now add 5 to both sides
x=20+5
x=25
Now you need to plug the answers in!
50-5 for 2x-5
25+20 for x+20
45+45 = 90
I don't really know about the 125 but if that was excluded then this is it ^^^
The value of x is,
⇒ x = 33.3°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
The value of total angle is, 125°
Hence, By definition of angles we get;
⇒ (2x - 5) + (x + 20) = 125°
⇒ 3x + 15 = 125°
⇒ 3x = 125 - 15
⇒ 3x = 110
⇒ x = 33.3°
Thus, The value of x is,
⇒ x = 33.3°
Learn more about the angle visit:;
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Hi! I am pretty confused on how to solve this problem. Any steps would be great to help me understand it!
In triangle ABC, what is the measure of A if a = 11, b = 13, and c = 7?
57.79°
49.62°
38.17°
32.21°
pls
Answer:
A= 57.79 degrees
B= 32.58 degrees
C= 89.63 degrees
Step-by-step explanation:
hope this helps!
Answer:
A. 57.79
Got it right on Plato
Round your answer to the nearest hundredth.
Answer:
41.81°
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
The price of an item has risen to $228 today. Yesterday it was $95. Find the percentage increase.
Answer:
140% increase
Step-by-step explanation:
Percent increase = [(final - initial) ÷ initial] · 100
[(228 - 95) ÷ 95] · 100
[133 ÷ 95] · 100
1.4 · 100
140
BRAINLIEST please if this helped!Guys help me pls I need the answer ASAP
Answer:
see below
Step-by-step explanation:
12^6 / 12^3 = 12 ^(6-3) 12^3
(9^3)^5 = 9^(3*5) = 9 ^ 15
a retailer purchased a camera for rs.1560 and sold it at 5% loss find the loss amount
Answer:
Loss is Rs. 78
Step-by-step explanation:
Solution:
Given,
Cost Price (CP)= Rs.1560Loss Percent (L%) = 5%Here,
L%= L/CP ×100%
or,. 5 =L/1560×100
or,. 5×1560/100 =L
or,. L= Rs.78
Therefore, Loss is Rs.78
I need a serious help!
If x = 10 units, y = 12 units, z = 12 units, and h = 8 units, then what is the surface area of the triangular prism shown above?
could you repost/answer with a picture?
Which shows the solution set to the
inequality below?
2x+35-5
A. H
-5 -4 -3 -2 -1
0 1
++
2 3 4 5
-
B. +
HHHHHH
-5 -4 -3 -2 -1 0 1 2 3 4 5
C. HA
++++
-5 -4 -3 -2 -1 0 1
0 1 2 3 4 5
D.
-5 -4 -3 -2 -1
+++++
0 1 2 3 4 5
Answer:
The answer is C hope this can help you out!
A number x when added to its half, is equal to its third increased by 35.
Answer:
x=30
Step-by-step explanation:
x = x
half of x = (1/2) x = "its half"
third of x = (1/3) x = "its third"
"A number x when added to its half" = x + (1/2)x
"its third increased by 35" = (1/3)x + 35
according to the prompt, these two are equal, so
x + (1/2) x = (1/3)x + 35
x = 1x = (2/2)x to match denominators
(2/2)x + (1/2)x = (1/3)x + 35
= (3/2)x
(3/2)x = (1/3)x + 35
subtract (1/3)x from both sides to isolate the variable and its coefficients
(3/2)x - (1/3)x = 35
multiply both sides by 6 as that is the lowest common multiple of both 2 and 3 (2*3 = 6 so 6 is a multiple of both)
9x - 2x = 35*6
7x = 210
divide both sides by 7 to isolate x
x = 30
Please answer all questions and show work for each step and each part (part A, part b, part c)
*50 points*
Answer:
Already answered in advance in the comments section
Step-by-step explanation:
Feel free to ask more questions if any!
I’ll give BRAINLIEST
Helen is N year old. Helen’s Brother is a year older than her.
a. Write n algebraic expression for the age of Helen’s brother
b. Find her brother’s age if Helen is age 12
C. Find her brothers age If Helen is x years old
Answer:
[tex] \fbox{ \sf A) Age of Helen’s brother = N+1} \\ \fbox{ \sf B) Age of Helen’s brother = 13 \: year \: old} \\ \fbox{ \sf C) Age of Helen’s brother = x+1} [/tex]
Step-by-step explanation:
Given:
Helen's age = N year old
Helen's brother = One year older than helen
To find:
a. Write n algebraic expression for the age of Helen’s brother
b. Find her brother’s age if Helen is age 12
C. Find her brothers age If Helen is x years old
Solution:
A)algebraic expression for the age of Helen’s brother = Helen’s age + 1 = N+1
[tex]\fbox{Age of Helen’s brother = N+1}[/tex]
B) if helen is 12 year old then, N = 12
substituting the value of N in above equation,
Age of Helen’s brother = N+1 = 12+1 = 13 y/o
[tex]\fbox{Age of Helen’s brother = \: 13 \: year \: old}[/tex]
C) if helen is x year old then, N = x
substituting the value of N in above equation,
Age of Helen’s brother = N+1 = x+1
[tex]\fbox{Age of Helen’s brother = x+1}[/tex]
Thanks for joining brainly community!
f(x) = x^2. What is g(x)?
A. g(x) = 2x^2
B. g(x) = (1/4 x)^2
C. g(x) = 1/2 x^2
D. g(x) = (1/2 x)^2
7. A company invests in a new project and it is expected that after years of running the cumulative project in millions of shillings from the project is given by the function f(t)=10.5t-+- 20 where t represents time in years. The project can run for maximum of nine years required (1) Draw a graph which represent the profit functions (Smarks)
Answer:
what are the objectives of census class 7
Which is greater -3 or -1/3 ?
Answer:
-1/3
Step-by-step explanation:
because it is a negative number and closer to zero than -3 is making it greater, becuase it is closer to a positive number.
Answer:
-1/3 is greater than -3
-3 < -1/3
A: x+90=180
B: 2x+90=180
C: x-90=180
D: Not enough info
Answer:
(B) 2x + 90 = 180 is an equation that could be used to find x.
Step-by-step explanation:
Observing at the triangle, we can see that..
- We are aware of two angel measurements, both of which are 45 degrees.
One triangle is exactly 180 degrees and if you add both 2 angel measurements from the triangles...
45 + 45 = 90 degrees
180 - 90 = 90 degrees
As a result, we know that x = 90. Now we find the equation. Lets look at equation B. ( 2x + 90 = 180 )
Step 1 : 90 should be subtracted from both sides.
2x + 90 − 90 = 180 − 90
2x = 90
Step 2 : Divide both sides by 2.
(When I use the symbol /, it signifies I'm dividing.)
2x/2 = 90/2
x = 45
Step 3: Examine your solution to see whether it is right.
2x + 90 = 180
2(45) + 90 = 180
90 + 90 = 180 ✓
This shows that 2x + 90 = 180 is an equation that could be used to find x.
Hope this helps! :D
Estimate the sum of the decimals below by rounding to the nearest whole
number. Enter your answer in the space provided.
3.145
1.824
+ 7.769
Answer:
12.738
rounded to the nearest hundred is 12.74
60 PTS PLS HELP! Data Set 1 has a mean of 152.7 and a MAD of 2.5.
Data Set 2 has a mean of 170.2 and a MAD of 1.7.
What can be concluded about the two distributions?
Select each correct answer.
The means-to-MAD ratio is 10.
The distributions are different.
The distributions are somewhat similar.
The means-to-MAD ratio is 7.
Answer:
the means to and reroof is 10
the distributions are somewhat similar
Step-by-step explanation:
Answer:
the distributions are different
Corey deposits $3500 a bank which pays 3%
interest per year. How much money will John have in
his account after 10 years?
Answer:
35,000
Step-by-step explanation:
Answer:
Corey will have $4550.00 in is account after 10 years.
Step-by-step explanation:
This is simple interest. Here is the formula for simple interest.
[tex]A=P(1+r*t)[/tex]
A = Final Amount
P = Principal Amount
R = Interest Rate
T = Time
We are given values for P, r, and t. Lets solve for A.
To get 3 percent as a decimal divide it by 100. We get 0.03.
[tex]P=3500[/tex]
[tex]r=0.03[/tex]
[tex]t=10[/tex]
[tex]A=3500(1+0.03*10)[/tex]
[tex]A=3500(1+0.30)[/tex]
[tex]A=3500(1.30)[/tex]
[tex]A=4550[/tex]
In parallelogram ABCD, mLA
4x + 20 and m2C = x + 26
Find the value of x.
Then find the measure of LA.
Answer:
Step-by-step explanation:
In a parallelogram, opposite angles are congruent.
∠A = ∠C
4x + 20 = x + 26
Step 1: To find the valu of 'x', first subtract 20 from both sides
4x = x + 26- 20
4x = x + 6
Step2: Now, subtract 'x' from both sides
4x -x = 6
3x = 6
Step:3: divide both sides by 3
x = 6/3
x = 2
∠A = 4*2 + 20
= 8 + 20
∠A = 28°
Given that 5 miles is 8 km, convert 17.8 miles to km.
Answer:
[tex]28km[/tex]
Step-by-step explanation:
[tex]5miles = 8km[/tex]
[tex]17.8miles = x[/tex]
[tex] \frac{17.8}{5} \times 8km[/tex]
[tex]x = 28km[/tex]
I need help I have to get to 80%
Answer:
118
Step-by-step explanation:
Because if you add 34 and 28 you get 62 then if you minus 62 from 180 you get 118. Then you get 180 because all of the angles have to equal 180 degrees.
Given the following functions, evaluate each of the following:
Answer:
1. -6
Step-by-step explanation:
f(x)=x²-9
g(x)= x-3
1. (f+g)(2) =
(2²-9)+(2-3) = (4-9)+(2-3) = (-5)+(-1)= -6
How to turn 68% into fraction
Answer:
68/100=17/25
Step-by-step explanation:
Since there are 2 digits in 68, the very last digit is the "100th" decimal place. So we can just say that 68 is the same as 68/100. terms by dividing both the numerator and denominator by 4. :D
Answer:
0.68=17/25
Step-by-step explanation:
first, turn it into a regular number which is as simple as dividing by 100, then you want to find a fraction which you first convert 0.68 into 68/100 and simplifying it gives you 17/25.