Answer:
B.
Step-by-step explanation:
First you need to figure out how many numbers there are, so with this you can simply count 10. Then use the formula to plug in the numbers: 10(22-77)/2 to get the answer.
The required sum of the arithmetic progression is -275.
The arithmetic sequence is given 22, 11, 0, -11, ..., –77, sum of the sequence is to be determined.
Arithmetic progression is the series of numbers that have common differences between adjacent values
Here,
first term (a) = 22
Last term (l) = -77
Now,
l = a + (n - 1)d
-77 = 22 + (n - 1) *(-11)
-77 - 22 = (n - 1)(-11)
n - 1 = 9
n = 10
Now,
sum of the arithmetic sequence,
s = n / 2 [a + l]
s = 10 / 2 [22 - 77]
s = 5 [-55]
s = -275
Thus, the required sum of the arithmetic progression is -275.
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Find the simple interest earned, to the nearest cent, for the principal, interest rate, and time.
$530, 6%, 1 year
Answer:
The Answer is $3180..Step-by-step explanation:
principal (p) = $ 530Interest Rate (R) = 6%Time (T) = 1 yearSimple Interest (I) = ?By using formula,
Simple Interest (I)= P× T× R/ 100
= $530 × 1 year× 6%
= 530 × 1 × 6
= $3180
Therefore , The simple Interest is $3180.
If you like this answer then mark this answer as BRAINLIEST answer.....Thank you ☺️☺️
The simple interest will be equal to $3180.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
Given that:-
principal (p) = $ 530
Interest Rate (R) = 6%
Time (T) = 1 year
Simple Interest (I) = ?
The formula to calculate the simple interest is given below:-
Simple Interest (I)= P× T× R/ 100
SI = $530 × 1 year× 6%
SI = 530 × 1 × 6
SI = $3180
Therefore, the simple interest will be equal to $3180.
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Student Council is selling Shark Shirts. Each shirt costs $8 and it costs $4 to put a shark on the front and it costs $3 to put your name on the back. If Student Council sells the shirts for $18, how much profit will they make per shirt?
Answer:
$33
Step-by-step explanation:
because iring gigapos
Mr. Harris is purchasing 2.25 pounds of meat that costs $2.80 per pound. How much change should Mr. Harris receive if he gives the cashier $20.00?
Answer:
$13.70
Step-by-step explanation:
$2.80*2.25=$6.30
$20-$6.30=$13.70
Find the midpoint of the segment having the given endpoints.
(8,4) and (-5,-9)
Answer:
-5.6
Step-by-step explanation:
A conjecture and the two-column proof used to prove the conjecture are shown.
Please help 46 points
Answer:well one
Step-by-step explanation:
two
Answer:
see below
Step-by-step explanation:
1. Linear Pair Postulate
This one is a little questionable, as some definitions of linear pairs require supplementary angles, whereas others only require the intersection of two lines. Check your book or notes for any given theorems regarding supplementary angles.
2. m<ABC+ m<CBD= 180 degrees
The definition of supplementary angles is that two angles are supplementary if their measures sum to 180 degrees.
3. Substitution Property of Equality
From previous step, the 90 degrees was in place of <CBD.
4. m<ABC=90 degrees
moved 90 degrees from left side to the right.
PLEASE NEED IT ASAP You'll get brainliest Find the distance between the two points in simplest radical form. (0,-1) and (3,-5)
Answer:
5
Step-by-step explanation:
first you have to subtract x for example 0-5 square and use it on y and then square root both of them you will got the answer
What is the value of
2 1/4 (-4.5)
Answer:
9/5x-45/10=-81/10=-8.1
Step-by-step explanation:
PLZ HELP FAST
Which is closest to the area of a circle with a diameter of 6 inches?
Select one:
108 square inches
36 square inches
27 square inches
54 square inches
Given the points (–5,–25) and (3,15), what's the slope of the line?
A)
m = 5
B)
m = 4
C)
m = –2
D)
m = –5
Answer:
A) m=5
Step-by-step explanation:
find the gradient using equation
m=(y²-y¹)/(x²-x¹)
=(-25-15)/(-5-3)
m=5
what is 13839x8468=?
Answer:
117188652
Step-by-step explanation:
Answer:
117,188,652
Step-by-step explanation:
Hope this helps!! And good luck!
Which of the following are exterior angles? Check all that apply.
The answer is A, D, and F.
We have given that the following are exterior angles.
What is the exterior angle?
The angle between a side of a polygon and an extended adjacent side. an angle formed by a transversal as it cuts one of two lines and is situated on the outside of the line.
Therefore, The answer is A, D, and F.
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Answer: D, F
Step-by-step explanation:
The answer is D: <2 and F: <4
Borrowed $250
Loan type: single payment
Interest rate: 12%
time of loan: 2mo
amount to repay ___
Answer:
Total interest paid:
$83.73
Total payments:
$333.73
I think I got this wrong so can someone please help me and explain it to me
Answer:
the answer is c
Step-by-step explanation:
Becuase he is given 100 dollars and he uses 20 dollars a day, so you put x with 20 to calculate how many days that he can spend $20 on
Day 1: money spent = 20
Day 2: total money spent = 20+20 = 2*20
So, for x days, total spent money should be 20*x = 20x
At an instant, say, after x days.
=> saving = total amount - spent
=> money left = 100 - 20x
=> y = 100 - 2x
=> y = - 2x + 100
Determine if the two triangles are congruent. If they are, state how you know.
Answer:
SAS
Step-by-step explanation:
It tells you that there are two sides equal, and they both have a 90 degree angle. This means that they are congruent because of side, angle, side, or SAS.
Hope this is helpful!!
Two angles in a triangle are equal and their sum is equal to the third angle in the triangle. What are the measures of each of the three interior angles?
Answer:
45º, 45º, 90º
Step-by-step explanation:
Assume angles are x then third is x+x = 2x.
sum of angles in a triangle = 180
=> x + x + 2x = 180
=> 4x = 180
=> x = 180/4 = 45
so, angles are 45,45 and 90.
Andres Michael bought a new boat. He took out a loan for $24,180 at 4.5% interest for 4 years. He made a $4,650 partial payment at 4 months and another partial payment of $3,400 at 6 months. How much is due at maturity? (Do not round intermediate calculations. Round your answer to the nearest cent.)
Answer:
$25,381.94
Step-by-step explanation:
45% interest in 2 years = 45/24 = 1.875% monthly
Debt at month 0 (when Andres got the loan)
24,320
Debt at month 1
24,320*(1 + 0.001875) = 24,365.6
Debt at month 2
24,365.6*(1.001875) - 54.110 (partial payment) = 24,357.1755
Debt at month 3
24,357.1755*(1.001875)
Debt at month 4
Debt at month 5
Debt at month 6
- 3,410 (partial payment)
= 24,540.36874
Debt at month 7
24,540.36874*(1.001875)
Debt at month 8
Debt at month 9
and so on until month 24 (the maturity)
Debt at maturity
= 25,381.93916 = $25,381.94 rounded to the nearest hundreth.Answer:
$25,381.94
Step-by-step explanation:
45% interest in 2 years = 45/24 = 1.875% monthly
Debt at month 0 (when Andres got the loan)
24,320
Debt at month 1
24,320*(1 + 0.001875) = 24,365.6
Debt at month 2
24,365.6*(1.001875) - 54.110 (partial payment) = 24,357.1755
Debt at month 3
24,357.1755*(1.001875)
Debt at month 4
Debt at month 5
Debt at month 6
- 3,410 (partial payment)
= 24,540.36874
Debt at month 7
24,540.36874*(1.001875)
Debt at month 8
Debt at month 9
and so on until month 24 (the maturity)
Debt at maturity
= 25,381.93916 = $25,381.94 rounded to the nearest hundreth.Answer:
$25,381.94
Step-by-step explanation:
45% interest in 2 years = 45/24 = 1.875% monthly
Debt at month 0 (when Andres got the loan)
24,320
Debt at month 1
24,320*(1 + 0.001875) = 24,365.6
Debt at month 2
24,365.6*(1.001875) - 54.110 (partial payment) = 24,357.1755
Debt at month 3
24,357.1755*(1.001875)
Debt at month 4
Debt at month 5
Debt at month 6
- 3,410 (partial payment)
= 24,540.36874
Debt at month 7
24,540.36874*(1.001875)
Debt at month 8
Debt at month 9
and so on until month 24 (the maturity)
Debt at maturity
= 25,381.93916 = $25,381.94 rounded to the nearest hundreth.Answer:
$25,381.94
Step-by-step explanation:
45% interest in 2 years = 45/24 = 1.875% monthly
Debt at month 0 (when Andres got the loan)
24,320
Debt at month 1
24,320*(1 + 0.001875) = 24,365.6
Debt at month 2
24,365.6*(1.001875) - 54.110 (partial payment) = 24,357.1755
Debt at month 3
24,357.1755*(1.001875)
Debt at month 4
Debt at month 5
Debt at month 6
- 3,410 (partial payment)
= 24,540.36874
Debt at month 7
24,540.36874*(1.001875)
Debt at month 8
Debt at month 9
and so on until month 24 (the maturity)
Debt at maturity
= 25,381.93916 = $25,381.94 rounded to the nearest hundreth.Answer:
$25,381.94
Step-by-step explanation:
45% interest in 2 years = 45/24 = 1.875% monthly
Debt at month 0 (when Andres got the loan)
24,320
Debt at month 1
24,320*(1 + 0.001875) = 24,365.6
Debt at month 2
24,365.6*(1.001875) - 54.110 (partial payment) = 24,357.1755
Debt at month 3
24,357.1755*(1.001875)
Debt at month 4
Debt at month 5
Debt at month 6
- 3,410 (partial payment)
= 24,540.36874
Debt at month 7
24,540.36874*(1.001875)
Debt at month 8
Debt at month 9
and so on until month 24 (the maturity)
Debt at maturity
= 25,381.93916 = $25,381.94 rounded to the nearest hundreth.Answer:
$25,381.94
Step-by-step explanation:
45% interest in 2 years = 45/24 = 1.875% monthly
Debt at month 0 (when Andres got the loan)
24,320
Debt at month 1
24,320*(1 + 0.001875) = 24,365.6
Debt at month 2
24,365.6*(1.001875) - 54.110 (partial payment) = 24,357.1755
Debt at month 3
24,357.1755*(1.001875)
Debt at month 4
Debt at month 5
Debt at month 6
- 3,410 (partial payment)
= 24,540.36874
Debt at month 7
24,540.36874*(1.001875)
Debt at month 8
Debt at month 9
and so on until month 24 (the maturity)
Debt at maturity
= 25,381.93916 = $25,381.94 rounded to the nearest hundreth.vvvvvv
which number line models -6+7
Answer:
well -6 is negative so
Step-by-step explanation:
it 1+0=1 so -6+7=1
A senior class at a high school has 424 students. 3/4 of those students choose to go to college out of state. How many students are not going to college out of state?
Answer:
318
Step-by-step explanation:
math wiz
Drag each label to the correct location on the table.
Match each equation with its number of unique solutions.
y = 3x^2- 6x + 3
y= -x^2 - 4x + 7
y = -2x^2 + 9x – 11
Answer:
1. 1 real solution
2. 2 real solutions
3. Two complex solutions
Step-by-step explanation:
y = 3x^2- 6x + 3
This has 1 real solutions.
y= -x^2 - 4x + 7
This has 2 real solutions.
y = -2x^2 + 9x – 11
This has 2 complex solutions.
The number of unique solutions each equation has is required.
[tex]y=3x^2-6x+3[/tex] has one real solution.
[tex]y=-x^2-4x+7[/tex] has two real solutions.
[tex]y=-2x^2+9x-11[/tex] has two complex solutions.
The number of solutions is determined by the value of the discriminant.
Let us find the determinant of each equation
[tex]y=3x^2-6x+3[/tex]
[tex]D=b^2-4ac\\\Rightarrow D=6^2-4\times 3\times 3\\\Rightarrow D=36-36\\\Rightarrow D=0[/tex]
The equation has one real solution.
[tex]y=-x^2-4x+7[/tex]
[tex]D=(-4)^2-4\times (-1)\times 7\\\Rightarrow D=16+28\\\Rightarrow D=44\\\Rightarrow D>0[/tex]
The equation has two real solutions.
[tex]y=-2x^2+9x-11[/tex]
[tex]D=9^2-4\times (-2)\times (-11)\\\Rightarrow D=81-88=-7\\\Rightarrow D<0[/tex]
The equation has two complex solutions.
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Solve this equation
100x + 300 = 200
Answer:
-1
Step-by-step explanation:
100x=200-300
100x=-100
100x/100=-100/100
x=-1
After solving this equation we get, 100x + 300 = 200 x = -1.
To solve this equation
100x + 300 = 200,
Subtract 300 on both side,
100x + 300 - 300 = 200 - 300
100x = -100
Divide 100 on both side,
x = -1
Therefore, After solving this equation 100x + 300 = 200 we get x = -1.
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6th grade math I mark as brainliest
Answer:
C. 8,034
Step-by-step explanation:
26 x 309 = 8,034
Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)
Answer:
x-int: (-1.2, 0)
y-int: (0, -0.7)
Step-by-step explanation:
The x-intercept is the x value when y = 0.
Another way to reword that is when the graph crosses the x-axis.
The y-intercept is the y value when x = 0.
Another way to reword that is when the graph crosses the y-axis.
According to the graph, when y = 0 and when the line crosses the x-axis, the x-value is -1.2. Therefore, our x-intercept is (-1.2, 0).
According to the graph, when x = 0 and when the line crosses the y-axis, the y-value is -0.7. Therefore, our x-intercept is (0, -0.7).
plz help me I can't figure it out
Answer:
A.
[tex]\sqrt{500}[/tex]
Step-by-step explanation:
when a value is outside of the root, then you can square it and put it back in. After you put it back in, you need to multiply it by the number that is remaining
In this case, you would square 10 which equals 100, and put it back into the root and multiply 100 by 5.
100x5=500
Therefore, the answer is A, root 500
12=x÷8
I need help please
Answer:
x=96
Step-by-step explanation:
PLZ ANSWER MY QUESTION.YOU WILL BECOME BRAINLIEST. The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The lengths of two sides of a triangle are and Find the possible lengths of the third side.
Answer:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides.
the shop pays workers $14.25 per hour plus 5.5% commision. If someone works 18 hours and sells $240 worth of merchandise, what is the total amount of their paycheck for this pay period?
Answer:
Their paycheck will be $269.70
Step-by-step explanation:
18x14.25=256.50+13.20=269.70
Manatees are an endangered species of herbivorous, aquatic mammals found primarily in the rivers and estuaries of Florida. As part of its conservation efforts, the Florida Fish and Wildlife Commission records the cause of death for every recovered manatee carcass in its waters. Of the 392392 recorded manatee deaths in 2012, 6868 were perinatal and 8181 were caused by collision with a watercraft. (a) What is the probability that the death of a randomly selected manatee was due to collision with a watercraft? (Enter your answer rounded to four decimal places.)
Answer:
Other question are " (b) What is the probability that the death was not due to collision with a watercraft? (Enter your answer rounded to four decimal places.) P(not collision) - (c) What is the probability that the cause of death was due to perinatal problems or collision with a watercraft? What is the
(c) What is the probability that the cause of death was due to perinatal problems or collision with a watercraft? What is the probability that it was due to some other cause? (Enter your answers rounded to four decimal places.) P(perinatal or collision) P(other cause) -"
a) P(collision) = Number of deaths caused by collision / Total number of deaths
P(collision) = 81/392
P(collision) = 0.2066
b) P(not collision) = 1 - P(collision)
P(not collision) = 1 - 0.2066
P(not collision) = 0.7934
c) P(perinatal or collision) = (68+81)/392
P(perinatal or collision) = 0.3801
P(other cause) = 1 - 0.3801
P(other cause) = 0.6199.
find the cost of 4 1/3 m of cloth at $ 40 1/2 per metre.
Answer:
4 1/3 = 4.33 and 40 1/2 = 40.50Then, 4.33 × 40.50 =175.365Step-by-step explanation:
The Answer is 175.365..Thank you ☺️☺️
Plant A is 4 inches tall and growing at a rate of 4 centimeters per
week. Plant B is 10 inches tall and growing at a rate of 1 centimeter per
week. After how many weeks will both plants have the same height?
Choose the equation that best represents this situation.
A.) 4 - 4y = 10 - Y
B.) 4 + 4y = 10 + y
C.)4 + y + 4y = 10
D.)4(y + 4y) = 10
Answer:1/2t + 4 = 1/4t + 5.5
1/2t - 1/4t = 5.5 - 4
2/4t - 1/4t = 1.5
1/4t = 1.5
t = 1.5 x 4
t = 6
h = 1/2t + 4
h = 1/2(6) + 4
h = 3 + 4
h = 7
solution is (7,6)
means that the plants will both be 7 cm tall after 6 weeks
The figure shows what appears to be obtuse triangle A B C with obtuse angle C. Point D is on side A B. Single tick marks pass through segments A D and D B. Point E is on side B C. Double tick marks pass through segments B E and E C. Point F is on side C A. Triple tick marks pass through segments C F and F A. Segment F D is drawn and has length 4. Segment E D is drawn and has length 6.4.
Answer:
Your answer is 8 units. :)
The measure of the side AC from the given triangle ABC is 12.8 units and the measure of the side BC from the given triangle ABC is 8 units.