Answer:
x=−3 or x=5
Step-by-step explanation:
SALARY Sondra just started a job with an annual salary of $30,000. Each year, her salary will increase by 6%. If Sondra continues to work at this job, what will be her total earnings in the first 5 years, rounded to the nearest dollar?
A. 31,915
B. 40,147
C. 169,113
D. 179,260
Answer:
C
Step-by-step explanation:
1st year-> 30000
2nd year-> 31800
3rd year ->33708
4th year->35730.48
5th year -> 37874.3088
37874.3088+35730.48+33708+31800+30000= 169112.7888
≈ 169113
The solution is Option C.
The total amount of earnings of Sondra after 5 years is $ 169,113
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the annual salary of Sandra be A = $ 30,000
Now , the percentage increase in salary = 6 %
So , the equation will be
First year :
The increase in first year = annual salary of Sandra + percentage increase in salary x annual salary of Sandra
The increase in first year = 30000 + ( 6/100 ) x 30000
= 30000 + 1800
= $ 31,800
Second year :
The increase in second year = increase in first year + percentage increase in salary x increase in first year
The increase in second year = 31800 + ( 6/100 ) x 31800
= 31800 + 1908
= $ 33,708
Third year :
The increase in third year = increase in second year + percentage increase in salary x increase in second year
The increase in third year = 33708 + ( 6/100 ) x 33708
= 33708 + 2022.48
= $ 35,730.48
Fourth year :
The increase in fourth year = increase in third year + percentage increase in salary x increase in third year
The increase in fourth year = 35730.48 + ( 6/100 ) x 35730.48
= 35730.48 + 2143.8288
= $ 37,874.3088
Now , the equation is
The total earnings of Sondra is = First year salary + second year salary + third year salary + fourth year salary
The total earnings of Sondra is = 30000 + 31,800 + 33,708 + 35,730.48 + 37,874.3088
The total amount earnings of Sondra is = $ 169,112.7888
Therefore , the total amount earnings = $ 169,113
Hence , The total amount of earnings of Sondra after 5 years is $ 169,113
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Calcul
A train travels 60 miles in 90 minute
Calculate the train's average speed.
Answer:
Step-by-step explanation:
Speed per min = 60 ÷ 90 = 0.66 miles
Answer:
0.66 miles/1 min
Step-by-step explanation:
60/90=0.66/1
8^1/6 x 2^x = 32^1/2
Work out the exact value of x.
Answer:
I think 2
Step-by-step explanation:
It depends on whether 8^1/6 really actually means (1/6) the fraction... or (8^1)/6
I took it as 8^(1/6) meaning to the power of a fraction
Gordon read 18 pages of a book about rockets in 40 minutes. What was the unit rate per minute? Per hour?
Answer:
he can read a page in about 2 minutes and i.d.k about the hour part
Step-by-step explanation:
you do
40 divided by 18 and get 2.2
Answer:
.45 per minute and 27 per hour
Step-by-step explanation:18/40 simplified
Solve for z.
2 + 8 - z = -24
Answer:
Z=34
Step-by-step explanation:
Answer:
z = 34
Step-by-step explanation:
Given
2 + 8 - z = -24
Combine Like Terms-
10 - z = -24
Rearrange Terms-
-z + 10 = -24
Subtract 10 from both sides
-z + 10 - 10 = -24 -10
Simplify
-z = -34
Divide -1 from both sides
-z/-1 = -34/-1
Answer-
z = 34
Linda started taking piano lessons. She had to practice 1 3/4 hours each day. If after only 8 days Linda decided she wanted to stop, how many hours did she take lessons
Answer:
If you mean how many hours did she practice because it didn't say how long her lessons are then the answer is 14 hours
Step-by-step explanation:
1 3/4 = 1.75
8 times 1.75 = 14
A bag contains 1 green, 4 red and 5 yellow balls. Two balls are selected at
random. Find the probability if there is no replacement of P(1 green and 1
yellow).
Answer:
The probability is 1/18.
Step-by-step explanation:
There are 10 balls in total. Let's start with the probability of just the green. There is 1 green ball.out of 10 balls total, so the probability of pickin just the green one would be 1/10. Since we aren't replacing the balls after we choose them, the total number of balls is now 9. now the probability of picking one yellow ball out of the nine balls left is 5/9 because there are 5 yellow balls. To get the probability of the green and yellow balls picked, we multiply the individual probabilities to get the actual probability of choosinf one green and one yellow ball without replacement. So multiply 1/10×5/9= 5/90, simplified to 1/18.
Two balls are selected at random, the probability of choosing two balls 1 green and 1 yellow without replacement is 1 / 20
Probability-based problem:What information do we have?
Number of green balls = 1
Number of red balls = 4
Number of yellow balls = 5
Total number of balls = 1 + 4 + 5 = 10
Probability of green ball = 1 / 10
Probability of yellow ball = 5 / 10
Probability if there is no replacement of P(1 green and 1 yellow) = (1/10)(5/10)
Probability if there is no replacement of P(1 green and 1 yellow) = 1 / 20
Find out more information about 'Probability'.
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WILL GIVE BRAINIEST TO THE FIRST PERSON WHO ANSWERS THEM ALL CORRECTLY, BUT U HAVE TO BE QUICK!!!
Answer:
A) a^8
B) 16a^14
C)a^mn
D)24a^yz
E)a^3
F)5a^2
G) a^5
H)a^m-n
If the diagonals of a shombus are 10 and 24, find the area of the rhombus
A
120 units
B
240 units
С
60 units
D
180 units
Witch triangle o be an acute angle
Answer:
An acute triangle
Step-by-step explanation:
A triangle that is 47°
PS
The diagram shows the dimensions of a coal bunker.
The volume of the bunker is 0.432 m^3
Calculate the length, a, shown on the diagram. Give your answer in centimetres.
Answer:
Step-by-step explanation:
80×= 8×+16
Please help i need to help
Answer:
4.25
Step-by-step explanation:
Step 1: 23-(17-12)²+6.25
Step 2: 23-5²+6.25
Step 3: 23-25+6.25
The high temperatures for a week are shown.
15°, 34°, 17°, 15°, 16°, 8°
Which measure of center, mean or median, would BEST represent the data?.
The median, 15.5, is best because it represents the middle most value of the data in the set.
The mean, 17.5, is best because the center of this data set is affected by outliers.
The mean, 17.5, is best because it is the average of all the values in the data set.
.
The median, 15.5, is best because the center of this data set is affected by outliers.
Answer:
i think it is a because my teacher just went over it
Step-by-step explanation:
hello
Which expression is equivalent to
Answer:
C
Step-by-step explanation:
16 times 0.5x equals 8x.
16 times -0.75 equals -12y, so this means A and D are incorrect.
16 times 2 is 32, so this means that B is wrong, for you must multiply each number in the parentheses by 16.
Hope that helps :)
28 orders in 4 days = orders per day
Answer:
7 orders per day
Step-by-step explanation:
28/4=7
Answer:
7
Step-by-step explanation:
divide 28 / 4 = orders per day
The figure is made up of a square and a rectangle. Find the area of the shaded region 16 by 3 by 7
Answer:
Go on Answers.com your welcome.
!! HELP IM IN 7TH GRADE AND M LEARNING 9TH AND 8TH GRADE MATH!!
QUESTION~
If f(x) = 2|x| is graphed on a regular
coordinate grid, does the graph
form an acute, right, or obtuse
angle at its vertex?
Answer:
The vertex forms an acute angle.
Find the degree of the term.
- 3x^3
The degree of – 3x^3 is
Answer:
the degree of -3x^3 is 3
Step-by-step explanation:
the exponent is 3
An ecological group suspects tuna are consuming dangerous levels of copper in a region of the world. Dangerous levels of copper are classified when they reach beyond 5.7 parts per million. A random sample of 21 tunas in the region were tested and the data is shown in the stemplot.
Part A: What proportion of the tuna in the sample have dangerous levels of copper in their systems? (4 points)
Part B: Construct and interpret a 98% confidence interval for the mean copper levels of the tuna if the sample of 21 tuna has a mean copper level of 4.77 parts per million and standard deviation of 1.16 parts per million. (6 points)
Answer:
a. 5 out of 21
b. (4.1811, 5.3589)
Step-by-step explanation:
a. We can see from the stem plot that 5 out of the 21 tunas have dangerous levels of copper in their system because the copper level reached over 5.7, and the problem states "Dangerous levels of copper are classified when they reach beyond 5.7 parts per million"
b. How to find it on calculator
Step 1: [stat]
Step 2: go to [tests]
Step 3: go down to [7: zinterval]
Step 4: make sure input is on [stats]
Step 5: input the following
: 1.16
X (with the line above it): 4.77
n: 21
c-level: .98
The solution is :
A.) The required proportion is 5/21=0.2381
B.) 98% confidence the true copper level (in parts per million) lies in the interval (4.13, 5.41).
What is standard deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
here, we have,
A) From the stem-leaf plot, we see that out of 21 tunas, 5 have dangerous levels of copper since the levels go beyond 5.7 parts per million. The required proportion is 5/21=0.2381
B) Given the sample mean is {x}=4.77, sample standard deviation s=1.16 and the sample size is n=21.
Since the population standard deviation is not known, we use t-distribution.
So the 98% CI for mean is
4.77 ± t{1-0.02 /2,20} x 1.16/sqrt(21) = (4.13, 5.41)}
We are sure with 98% confidence the true copper level (in parts per million) lies in the interval (4.13, 5.41)
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someone help solve this! f + 1 1/2 = 4 1/4
f= ?
Answer:
2 1/4
Step-by-step explanation:
<A and <B are vertical
angles. if m<A =(3x+13)° and <B=(5x+9)° then find the measure of <A
Answer:
Step-by-step explanation:
3x+13 = 5x+9
2x = 4
x = 2
A = 3x+13 = 19°
Square tiles of side 30 cm were
used to cover a floor which is 9 m
long and 6 m wide. How many
square tiles were used?
~!!!! PLEASE HELP I HAVE AN HOUR TO DO THIS !!!!~ im a 7th grader in honors learning 9th and 8th grade math please help me
QUESTION~~
How the graph of f(x) = |x| compare with the graph of g(x) = −1/2|x|
ANSWERS CHOICES~
(A):The graph of g is a vertical compression and reflection over the x-axis of the graph
of f.
(B):The graph of g is a vertical stretch and reflection over the y-axis of the graph of f.
(C):The graph of g is a vertical stretch and reflection over the x-axis of the graph of f.
(D):The graph of g is a vertical compression and reflection over the y-axis of the graph of f.
Answer:
A.
Step-by-step explanation:
the blue is f(x) and red is g(x) as you can see the numbers and it reflects over the x-axis.
What is the diffrence between 7/8 and 1/2?
Answer:
3/8
Step-by-step explanation:
1. Find common denominators, which is 7/8 and 4/8
2. 7/8 - 4/8 = 3/8
Answer:
7/4 or 1 3/4
Step-by-step explanation:
I need help immediately
Answer:
<DEC= 45
Step-by-step explanation:
those two lines are parallel which means they are cross by the diagonal line at the same angle
180-135= 45
A preschool teacher gave out a total of 65 cookies to her class during snack ... She allowed each of her 25 students to choose either 3 small cookies or 2 large cookies. Assuming all the children in the class choose one of these two options at snack time, how many of the students in her class choose to have 3 small cookies
Answer:
25
Step-by-step explanation:
Find the circumference and area of the circle to the nearest hundredth. Use 3.14 for . Round to the nearest hundredth if necessary.
The circumference of the circle is about ____ cm.
The area of the circle is about ____ cm2.
Please answer!
Answer:
The circumference of the circle is about 166.42 cm.
The area of the circle is about 2205.07 cm².
Step-by-step explanation:
Diameter = 53 cm
Radius = r = 53cm/2 = 26.5 cm
π = 3.14
Circumference = C = 2 π r
C = 2(3.14)(26.5cm) = 166.42cm
The circumference of the circle is about 166.42cm.
Area = A = π r²
A = (3.14)(26.5cm)² = 2205.07 cm²
The area of the circle is about 2205.07 cm².
What is the area of a rectangle whose length is 36 inches and whose width is 42 inches?
Answer:
1512
Step-by-step explanation:
L x W = Area
How might a victory at Gettysburg have benefited the confederacy? Plz I need this fast!!!! I will mark brainist!!!
Answer:
It might have convinced European nations to align with the South.
Step-by-step explanation:
i did this one twice
Tyler poured 15 cups of water into 2 equal sized bottles and filled each bottle. How much water was in each bottle?
Answer:7.5
Step-by-step explanation:
you divided 15 into 2
Answer:
7 and a half
Step-by-step explanation:
Divide 2 and 15 toet 7 and a alf