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
To learn more about equations click :
https://brainly.com/question/10413253
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Sully saves 2/3 of her paycheck for bills. If she makes $1,983, how much does she
have to pay her bills?
Answer:According to the rule, you should be spending no more than 43 percent of your before-tax income on all your debt payments. So, if your gross income per month is $4,000, your total debt including mortgage, auto loans, credit card payments and student loans should be less than $1,720
Step-by-step explanation:
Will got an insurance check of $4500. He deposited it into a savings account at 1.7 percent interest for five years. What was the total amount of money in the account after five years? $4882.50 $4462.50 $4374.38 $4315.63
Answer:
the answer is 4882.50, hope this helps
Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American adults. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Heart Rates in Beats per Minute Class Frequency 51 - 58 6 59 - 66 3 67 - 74 11 75 - 82 13 83 - 90 4
Answer:
[tex]Mean = 68.9[/tex]
[tex]s^2 =18.1[/tex] --- Variance
Step-by-step explanation:
Given
[tex]\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}[/tex]
Solving (a): Calculate the mean.
The given data is a grouped data. So, first we calculate the class midpoint (x)
For 51 - 58.
[tex]x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5[/tex]
For 59 - 66
[tex]x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5[/tex]
For 67 - 74
[tex]x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5[/tex]
For 75 - 82
[tex]x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5[/tex]
For 83 - 90
[tex]x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5[/tex]
So, the table becomes:
[tex]\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}[/tex]
The mean is then calculated as:
[tex]Mean = \frac{\sum fx}{\sum f}[/tex]
[tex]Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}[/tex]
[tex]Mean = \frac{2547.5}{37}[/tex]
[tex]Mean = 68.9[/tex] -- approximated
Solving (b): The sample variance:
This is calculated as:
[tex]s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}[/tex]
So, we have:
[tex]s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}[/tex]
[tex]s^2 =\frac{652.8}{36}[/tex]
[tex]s^2 =18.1[/tex] -- approximated
How can Help me
(a+b)^2≥4ab
Mark as brainlist___________________________________
Answer:
(a+b) ²≥4ab explanation below↓↓↓↓
Step-by-step explanation:
We know that
(a-b) ²≥0
a²-2ab+b²≥0
Move -2ab to the other side
a²+b²≥2ab
Add 2ab to both sides
a²+2ab+b²≥4ab
(a+b) ²=a²+2ab+b² therefore :
(a+b) ²≥4ab
What does the enlargement look like and what are the coordinates?
Answer:
(-6, -3) (-3,-3) (-3,-6)
Step-by-step explanation:
Multiple all of the vertices by 1.5.
(-6, -3) (-3,-3) (-3,-6)
Hope I helped!
[enlargment will still be a triangle]
Pls help I’m failing asap
Answer:
The equation 2d + 18 = 24 can help find the number of days Jerry has been doing sit-ups.
Step-by-step explanation:
During the first day, Jerry did 18 sit-ups, and he proceeded to do 2 more sit-ups each following day, so the expression to represent this situation is 2d + 18. Because he did 24 sit-ups today, to find the number of days he did sit-ups, the equation to solve is 2d + 18 = 24.
Where is -9 located from -5 negative or postieve
Answer:
Negative
Step-by-step explanation:
-9 and -5 are both negative numbers
Please solve this:
3 (4 + 5) - 12 + 2
I need friends...I wanna talk to someone
Answer:
17
Step-by-step explanation:
BODMAS
3(9)-12+2
27-12+2
27-10
17
Answer:
17
Step-by-step explanation:
You add what's inside the parenthesis, then rewrite the equation once more, (3)(9)-12+2, then you gotta multiply 3*9 which is 27. Rewrite the equation again, 27-12+2, then you must subtract 27 from 12 which is now 15. So now we're left with 2, 15+2 is 17. If it makes it any easier, think of this equation as losing friends and gaining friends, and now you're left with 17 now.
What is the difference of 78−13?
Answer:
65
Step-by-step explanation:
I need help do this!!!!
Answer:
f= - 0.5 (5n+31)
------------------
n
Step-by-step explanation:
1 3 Sophia took home of the pizza that was left over from a party. The amount she took represents of a 8 whole pizza. 3 1 The equation p = can be used to find the number of pizzas p left over from the party. 8 2 How many pizzas were left over? There were pizzas were left over from the party.
Answer:
Sophia took home 2/5 of the pizza that was left over from a party. The amount she took represents 1/2 of a whole pizza. The equation 2/5p=1/2 can be used to find the number of pizzas p left over from the party.
Step-by-step explanation:
Answer the first one plz
Answer:
65 is the answer okkkkkk
Best of luck
~!!!!! PLEASE HELP IM IN 7TH GRADE LEARNING 9TH AND 8TH GRADE MATH !!!!!~
QuESTION *SORRY ITS SMALL HGVCFGHJJHV*
Which quadratic regression equation best fits the data set?
O = 2.608x2 +115.265z+1568.065
Oy=2.60822 - 115.265x + 1568.065
O y = 1568.065x2 + 115.265x + 2.608
O = 1568.06522 - 115.265z +2.608
Hurry please
Answer: y=2.608x^2-115.264x+1568.064
Step-by-step explanation:
un abuelo dijo a su nieto mira que curioso tu edad es la quinta parte de la mia pero también es igual a la tercera parte de mi edad menos diez años ¿cuántos años tiene el nieto y el abuelo?
¿Puedo conseguir la corona? y el abuelo tiene cincuenta y ocho años
Bagel Boys delivers bagels for a $6
delivery fee plus $2.50 per bagel. An
engineering firm has $100. What is the
maximum number of bagels the firm
can purchase?
A. 37 bagels B. 38 bagels
C. 39 bagels D. 40 bagels
Answer:
A.37 BAGELS
Step-by-step explanation:
100-6
94/2.50
37.6 round down
37 bagels
Answer the question plz
Answer:
F=122 g=58 h=122
Step-by-step explanation:
F and h have same angle
H is same angle as 58
Plz help me ive been stuck on this for 30 minutes
George sold 18, 22, 26, 12, 25, 20, and 19 cars per month over the past seven months. He followed the steps below to determine the number of cars he needs to sell in the next month to have a mean number of sales per month of 24.
Step 1: Find the total cars needed to have a mean of 24: 24 times 7 = 168.
Step 2: Find the total cars sold: 18 + 22 + 26 + 12 + 25 + 20 + 19 = 142.
Step 3: Subtract the total cars sold from the total cars needed: 168 minus 142 = 26.
Step 4: State the answer: George needs to sell 26 cars next month.
Where did George make his first mistake?
Step 1
Step 2
Step 3
Step 4
Answer:
Step One. He should have multiplied by 8.
Lasian invests £9200 into a bank account. She receives 5% per year compound interest. How much money does she have after 11 years?
Answer:
the money after 11 years is £15,735.12
Step-by-step explanation:
The computation of the amount after 11 years is given below:
Future value = Present value × (1 + rate of interest)^number of years
= £9,200 × (1 + 0.05)^11
= £9,200 × 1.05^11
= £9,200 × 1.710339358
= £15,735.12
Hence, the money after 11 years is £15,735.12
Pls help I really need help pls
Answer:
h=-18
Step-by-step explanation:
h+9=-9
h= --9-9
h=-18
Answer:
H = -18
Step-by-step explanation:
h+9 = -9
-9 = -9
cancels
h = -9 -9
h = - 18
According to the 2006 Uniform Crime Report (UCR), the state of Delaware had a population of 853,476 and 5,817 violent crimes. Compute the violent crime rate per 100,000 persons and interpret your result.
Answer:
682
Step-by-step explanation:
Population = 853,476
Number of violent crimes = 5817
We are to get violent crime rate per 100000 persons and interpret the result obtained.
Now if population is 1
Crime = 5817/853476
If population is 100000,
Crime = 5817x100000/853476
= 681.56
= 682
We conclude that the violent crime rate is of 682 crimes per 100000
Judy plans to serve cheese to guests at a dinner party. She estimates
each guest will have 2 ounces of cheese, and she wants to have 8
additional ounces of cheese available. If Judy has 40 ounces of cheese,
which expression can be used to determine the number of guests Judy
can invite to her party?
Answer:
4
Step-by-step explanation:
2+8 = 10
10/40 = 4
4
Maybe...
Suppose has a solution. Explain why the solution is unique precisely when has only the trivial solution. Choose the correct answer.
Answer:
Because [tex]x = y[/tex], then the solution is unique.
Step-by-step explanation:
Given
[tex]Ax = b[/tex]
[tex]Ax=0[/tex]
See comment for complete question
Let there be two solutions x and y.
Such that:
[tex]Ax = b[/tex] and [tex]Ay = b[/tex]
Since:
[tex]Ax = Ay = b[/tex]
Then:
[tex]Ax - Ay = b - b[/tex]
[tex]Ax - Ay = 0[/tex]
This implies that:
[tex]Ax - Ay = A(x-y) = 0[/tex]
The only trivial solution is:
[tex]Ax - Ay = A(x-y) = 0[/tex]
Such that:
[tex]x -y = 0[/tex]
Then
[tex]x = y[/tex]
Because [tex]x = y[/tex], then the solution is unique.
The line is parallel to y = -3x - 2 and passes through the point (-4, 3)
Answer:
y = -3x - 9
Step-by-step explanation:
Parallel lines have same slope.
y = mx + b
m -> slope & b ->y-intercept
y = -3x - 2
So, slope of the required line = -3
(-4 , 3)
y - y1 = m(x - x1)
y - 3 = -3(x - [-4])
y - 3 = -3(x + 4)
y - 3 = x*(-3) + 4*(-3)
y - 3 = -3x - 12
y = -3x -12 + 3
y = -3x - 9
How to when me when i when i
Answer:
shrek
Step-by-step explanation:
1+1=2
Press F9 on your keyboard five more times and see how long Carol lives in each of her alternate lives. Remember that she will always live to be at
least 44 years old, since she is already 44 years old. How long did Carol live each time?
Answer:
59 or infant
Step-by-step explanation:
she will either live to be 59 each time or she will live to be a undying God like being
3 1/3 x 14 = 3 14/2 =
H3
Answer:
10?
Step-by-step explanation:
I'm assuming it wants you to simplify 3 14/2 if so, then the answer would be 3 14/2 = 10
[tex]3\frac{1}{3}\cdot \:14 =\frac{10}{3}\cdot \:14 =\frac{10\cdot \:14}{3} =\frac{140}{3} =46\frac{2}{3}[/tex]
Hope I helped you!Success!Help me plsss in need help there is a picture
Answer:
Division Expression - 7 ÷ 3
Unit Form - 21 thirds ÷ 3 = 7
Improper Fraction 7/3
Step-by-step explanation:
Hope this helps!! <3
What are the solutions of the equation (x + 2)2 + 12(x + 2) – 14 = 0? Use u substitution and the quadratic formula to
solve.
A. x=-825-13
B. x=-6+5 V2
C. x=-4+5 V2
D. x=-25
so alot of the text got cut off so im going to re wright the problem
An illusionist needs both female and male volunteers for a show he needs no more then 10 volunteers for a show the illusionist needs fewwr then 4 female volunteers let X represent the number of female volunteers and Y represent the number of male volunteers which inqualities model the situation select eatch correct answer
Answer:
A. x+y<10
B. x+y≤10
Step-by-step explanation:
A is correct because they can be less than.
B is correct because there is less than or equal too of numbers of volunteers.
C, D, and E cannot be correct however, because that means that they can be over at any number. Therefore, these three would be incorrect.