Answer:
2508
Step-by-step explanation:
We are given that
Principal ,P=2200
Rate of interest, r=7%
Time, t=2 year
We have to find the final account balance after two years.
[tex]S.I=\frac{P\times r\times t}{100}[/tex]
Using the formula
[tex]S.I=\frac{2200\times 7\times 2}{100}=308[/tex]
Amount=P+S.I
Amount=2200+308
Amount=2508
Hence, the final account balance after two years=2508
The average mark scored by 29 students in a science test was 56%. John was sick, so he sat the test late and scored 71%. Including John's score, what was the new mean mark?
Answer:B
Step-by-step explanation:
If 3/4 of the class likes soda and 3/5 of those who like soda prefer Coke, what PERCENT of the whole class that likes Coke?
Answer:
For soda =3/4
For coke= 3/5 X 3/4=9/20
Whole class is 1....
Therefore X% of 1 =9/20
Solving :
X/100 X 1 =9/20
X/100=9/20
20X =900
X= 900/20 = 45%
Wilma can walk 4 miles in 30 minutes. How many miles can she walk in 3 hours?
Answer:
24 miles
Step-by-step explanation:
3 hours = 180 minutes
[tex]\frac{4}{y}: \frac{30}{180}[/tex]
y × 30 = 4 × 180
30y = 720
30y ÷ 30 = 720 ÷ 30
y = 24
simplify 12/18 into an equivalent fraction
Answer:
2/3
Step-by-step explanation:
In the diagram, ∠XWY congruent to ∠ZWY. Find XY.
Answer:
10
Step-by-step explanation:
Let XY = a
Since,
XY + YZ = XZ
a + YZ = 24
YZ = 24 - a
By angle bisector property:
[tex]\frac{WX}{WZ} = \frac{XY}{YZ} \\ \\ \frac{15}{21} = \frac{a}{24 - a} \\ \\ \frac{5}{7} = \frac{a}{24 - a} \\ \\ 5(24 - a) = 7a \\ \\ 120 - 5a = 7a \\ \\ 120 = 7a + 5a \\ \\ 120 = 12a \\ \\ a = \frac{120}{12} \\ \\ a = 10 \\ \\ \implies \: XY = 10[/tex]
raiz cuadrada de -200
Help me plzzzzzzzzzzzzzzzz
Answer:
1. 25
2. 9
Step-by-step explanation:
If I'm correct, to complete the square you need to use [tex](\frac{b}{2} )^{2}[/tex]
So, for #1, b is 10. [tex]\frac{10}{2}[/tex] = 5. [tex]5^{2}[/tex] = 25.
For #2, b is -6. [tex]\frac{-6}{2}[/tex] = -3. [tex]-3^{2}[/tex] = 9.
A 42 inch Plasma TV first hit the market at a price of 1800. After the holidays it was reduced by 20% and finally the price was slashed another 25%. What was the final price of the TV?
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Answer:
1080
Step-by-step explanation:
The first price reduction reduced the price to (1 -20%) = 0.80 times the original. The second price reduction reduced the price to ...
0.80(1 -25%) = 0.80×0.75 = 0.60
times the original.
The final price was ...
1800 × 0.60 = 1080
Yeabsira and Jose are helping their chemistry teacher set up materials for a class lab
activity. They have 56 grams of calcium carbonate and 150 mL of acetic acid total. Each
reaction requires 7 grams of calcium carbonate and 10 ml of acetic acid. How many full
reactions can they set up?
Answer:
2
Step-by-step explanation:
1. To earn some extra money, Ben mows lawns for people in his neighborhood.
He earns $18 per lawn and has saved $200 for the season.
Write an algebraic equation to represent this situation.
Use your equation to determine how much Ben will earn for 21 lawns.
2.Bubba is trying to gain weight. He eats a 400 calorie breakfast each day then eats snacks all day. Each snack is 120 calories.
Write and solve an equation for the number of snacks eaten.
Solve for if bubba consumes 3,160 calories today.
Answer:
1. 18x+200
If x=21, answer: 578$
2. (3160-400)/ 120=x
x=23
Step-by-step explanation:
What is the multiplier for a 30% decrease. *
Answer:
0.7
Step-by-step explanation:
Let the number to be decreased be x. To decrease x by 30 %, the result will be
= x - 30% * x
= x - 0.3x
= 0.7x
From above, the result is 0.7 multiplied by the number to be reduced. Hence the multiplier is 0.7
rearrange the following formulato make t
the subject:
b= T / 3 -5
(REPOST) answer if you KNOW the answers!
Answer:
hello! :) have a good day!
1). 24
2). 27
3). 5
PICTURE 1:
The answer is 24: (13 7/10) Rounded To The Nearest Whole Number is: (14)
[tex]13 \frac{7}{10} = 14[/tex]
AND,
(10 1/8) Rounded To The Nearest Whole Number is: (10)
[tex]10 \frac{1}{8} = 10[/tex]
So, 14 + 10 = 24
______________________________________
PICTURE 2:
The answer is 5: (8 1/5) Rounded To The Nearest Whole Number is: (8)
[tex]8 \frac{1}{5} = 8[/tex]
AND,
(2 7/8) Rounded To The Nearest Whole Number is: (3)
[tex]2 \frac{7}{8} = 3[/tex]
So, 8 - 3 = 5
______________________________________
PICTURE 3:
The answer is 27: (58 5/12) Rounded To The Nearest Whole Number is: (58)
[tex]58 \frac{5}{12} = 58[/tex]
AND,
(30 5/7) Rounded To The Nearest Whole Number is: (31)
[tex]30 \frac{5}{7} = 31[/tex]
So, 58 - 31 = 27
______________________________________
HERE ARE ALL THE ANSWERS:
PICTURE 1: 24
PICTURE 2: 5
PICTURE 3: 27
HOPE THIS HELPS!! :)
A coin is tossed and six sided die numbered 1 through 6 is rolled. Find the probability of tossing a tail and then rolling a number greater than 1.
Answer:
5/12
Step-by-step explanation:
A coin has two faces (H, T)
n(S) = 2 (sample space)
If it is tossed and a rail is gotten,
n(E) = 1 (event)
Probability of tossing a tail = n(E)/n(S)) = 1/2
If a dice is rolled, the sample space S = {1, 2, 3, 4, 5, 6}
n(S) = 6
Number greater than 1 are the evens E = {2, 3, 4, 5, 6}
n(E) = 5
pr(rolling a number greater than 1) = 5/6
Hence the probability of tossing a tail and then rolling a number greater than 1 = 1/2 * 5/6
= 5/12
Find the surface area of the triangular pyramid. The side lengths of the base are equal.
8.7 cm
6 cm
10 cm
The surface area is
square centimeters.
Answer:
522.0
Step-by-step explanation:
10*6=60
60*8.7=522.0
or you can take out the zero either way that's the answer
Answer:
522.0
Step-by-step explanation:
Step-by-step explanation:
10*6=60
60*8.7=522.0
or you can take out the zero either way that's the answer
Which is the graph of x - y = 1?
Ty
Ty
5
4
4
3
3
3
2
+
2
1
-5-4-3-2-1
6
4
tar
X
-1
1 2 3
1 2 3 4 5
5 -5-4-3-2-1,
22
2
3
2
3
4
3
4
15
4
3
Save and Exit
Next
Submit
Mark this and return
Answer:
Step-by-step explanation:
The graph of x - y = 1 is plotted below
Plotting linear graphsThe given equation is:
x - y = 1
The equation can be rewritten as:
y = x - 1
This is of the form y = mx + 1
where m is the slope
c is the y-intercept
Compare the equation y = mx + 1 with y = x - 1
The slope, m = 1
The y-intercept, c = -1
The graph of the equation y = x - 1 is plotted below
Learn more on graphs of linear equations here: https://brainly.com/question/14323743
que resultado da 24 entre 8
Answer:
24÷8=3
Step-by-step explanation:
Find the surface area of the regular pyramid
A wealthy man just died and left his pet dogs the following estate: $20,000 per year for the next 11 years with the first cash flow today. At a discount rate of 4.2%, what is the doggy estate worth in today's dollars?
Select the correct answer. What is this expression in simplest form?
Answer:
[tex]\frac{x^2+x-2}{x^3-x^2+2x-2}\\=\frac{x^2+(2-1)x-2}{x^2(x-1)+2(x-1)}\\=\frac{x^2+2x-x-2}{(x-1)(x^2+2)}\\=\frac{x(x+2)-1(x+2)}{(x-1)(x^2+2)}\\=\frac{(x-1)(x+2)}{(x-1)(x^2+2)} \\=\frac{x+2}{x^2+2}\\So, ~last~option~is~the~correct~answer.[/tex]
The simplest form of the provided expression is (x + 2)/(x² + 2) option (D) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
[tex]\rm \dfrac{\left(x^2+x-2\right)}{x^3-x^2+2x-2}[/tex]
[tex]\rm =\dfrac{\left(x-1\right)\left(x+2\right)}{x^3-x^2+2x-2}[/tex]
[tex]\rm =\dfrac{\left(x-1\right)\left(x+2\right)}{\left(x-1\right)\left(x^2+2\right)}[/tex]
= (x + 2)/(x² + 2)
Thus, the simplest form of the provided expression is (x + 2)/(x² + 2) option (D) is correct.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ5
Suppose the probability of an IRS audit is 3.8 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more. What are the odds that such a taxpayer will be audited? (Round your answers to the nearest whole number.) What are the odds against such a taxpayer being audited? (Round your answers to the nearest whole number.)
Does this look right? Explain why
5/6
6.565656…
0.23
-5 3/8
Answer:
Yes
Step-by-step explanation:
Yes ,a rational number is a number that can be expressed as a fraction. Repeating and terminating decimal are rational number so
5/6 is right since it is a fraction
6.565646 is right since it is a repeating decimal
0.23 is right since it is a terminating decimal
-5 3/8 is right since it is a mixed number
Sqr root of 11 and 0.32416.... is wrong since it creates multiple random unknown digits
In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars? Express your answer rounded to the nearest cent
Answer:
The cost of that car in 2012 dollars is $20,755
Step-by-step explanation:
We take a look at inflation values of the dollar to solve this question.
100 dollars in 1976 are equivalent to 469.48 dollars in 2021.
100 dollars in 2012 are worth 113 dollars today.
So, to find the 2012 equivalent, we divide 469.48 by 113/100 = 1.13. So
469.48/1.13 = 415.5.
That is, 100 dollars in 1976 are equivalent to 415.5 dollars in 2012, that is, 1 dollar in 1976 was worth 4.155 dollars in 2012.
In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars?
Multiplying by 4.155
5000*4.155 = 20,755
The cost of that car in 2012 dollars is $20,755
Adult tickets to the fall play cost $6 and student tickets cost $3. The drama class sold 25 more student tickets than adult tickets to the fall play. If the class collected $660 from ticket sales, how many student tickets were sold?
The drama class sold how many tickets?
The solution is?
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Answer:
90 student tickets65 adult ticketsStep-by-step explanation:
For many "mixture" problems, it is convenient to use a variable for the quantity of the highest contributor. Here, we can use 'a' to represent the number of adult tickets, because adult tickets cost the most. Then the number of student tickets is (a+25), and the total revenue is ...
6a +3(a+25) = 660
9a +75 = 660
9a = 585
a = 65
(a+25) = 90
The drama class sold 90 student tickets and 65 adult tickets.
PLEASE HELP IM BEGGING
This is due and I have no idea what the answer is also I need the work shown
Answer:
Options (A), (C) and (E)
Step-by-step explanation:
System of inequalities has ben given as,
y ≥ 0.75x
y ≤ 2x - 7
By satisfying with the points given in the options,
Option A. (8, 8)
y ≥ 0.75x
8 ≥ 0.75(8)
8 ≥ 6
True
y ≤ 2x - 7
8 ≤ 2(8) - 7
8 ≤ 9
True.
Therefore, (8, 8) is the solution of the given system.
Option (B) (2, 2)
y ≥ 0.75x
2 ≥ 0.75(2)
2 ≥ 1.5
True
y ≤ 2x - 7
2 ≤ 2(2) - 7
2 ≤ -3
False
Therefore, Option B is not the solution.
Option C (9, 7)
y ≥ 0.75x
7 ≥ 0.75(9)
7 ≥ 6.75
True
y ≤ 2(x) - 7
7 ≤ 2(9) - 7
7 ≤ 11
True
Therefore, Option B is the solution of the system of inequalities given.
Option D (4, 6)
y ≥ 0.75x
6 ≥ 0.75(4)
6 ≥ 3
True
y ≤ 2x - 7
6 ≤ 2(4) - 7
6 ≤ 1
False
Therefore, Option (D) is not the solution.
Option E (10, 9)
y ≥ 0.75x
9 ≥ 0.75(10)
9 ≥ 7.5
True.
y ≤ 2x - 7
9 ≤ 2(10) - 7
9 ≤ 13
True
Therefore, Option E is the solution of the given system of inequalities.
Options (A), (C) and (E) are the correct options.
Instructions: Deconstruct the following conditional statement into its hypothesis and conclusion.
Conditional Statement: “If it’s raining, then there are clouds in the sky.”
Hypothesis:
Conclusion:
x = y+2
x+4y=7
Please help!
Which of the following lines goes through the point (0,4) and is parallel to y = 5 x - 3?
M
O =
y = 5 x + 4
W
y= 5 x-7
y = -5 X-3
a 4kg ham cost $13/kg. Find the cost per pound . Round to the nearest hundred
Answer:
The cost per pound of the ham is $5.89.
Step-by-step explanation:
Given that a 4kg ham cost $13/kg, in order to find the cost per pound the following calculation has to be made:
1 kg = 2.20462 pounds
2.20462 = 13
1 = X
((1 x 13) / 2.20462) = X
13 / 2.20462 = X
5.89 = X
Therefore, the cost per pound of the ham is $5.89.
For what value of x is JKLM a parallelogram? Marking people as brainlist
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Answer:
C 21
Step-by-step explanation:
You can approach this any of several ways. The following conditions must be true:
adjacent angles total 180°
opposite angles are congruent
Using the latter relation on the upper right and lower left angles, we have ...
4x -1 = 3x +20
x = 21 . . . . . . . . . . add 1-3x to both sides