Answer:
Answer:
\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149
Step-by-step explanation:
Standard equation of a circle: \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2
(where (a, b) is the center and r is the radius of the circle)
Substitute the given center (-14, -5) into the equation:
\sf \implies (x-(-14))^2+(y-(-5))^2=r^2⟹(x−(−14))2+(y−(−5))2=r2
\sf \implies (x+14)^2+(y+5)^2=r^2⟹(x+14)2+(y+5)2=r2
Now substitute the point (-7, 5) into the equation to find r²:
\sf \implies ((-7)+14)^2+(5+5)^2=r^2⟹((−7)+14)2+(5+5)2=r2
\sf \implies (7)^2+(10)^2=r^2⟹(7)2+(10)2=r2
\sf \implies 149=r^2⟹149=r2
Final equation:
\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149
The balance in the account after 30 years will be $91,745.06, the total amount of money put into the account will be $54,000 and the total interest earned will be $37,745.06.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We can use the formula for the future value of an annuity to answer these questions:
FV = PMT(((1 + r)ⁿ - 1) / r)
a. To find how much will be in the account in 30 years, we need to calculate the future value of the annuity after 30 years of monthly deposits.
There are 12 months in a year, the number of months is:
n = 30 years × 12 months/year = 360 months
The monthly interest rate is:
r = 3% / 12 = 0.0025
Substituting the given values into the formula, we get:
FV = $150 × (((1 + 0.0025)³⁶⁰ - 1) / 0.0025)
= $91,745.06
b. To find the total amount of money put into the account, we need to multiply the monthly payment by the number of months:
Total amount = $150/month × 360 months
= $54,000
c. To find the total interest earned, we need to subtract the total amount of money put into the account from the future value of the annuity:
Total interest = $91,745.06 - $54,000
= $37,745.06
Therefore, the balance in the account after 30 years will be $91,745.06, the total amount of money put into the account will be $54,000 and the total interest earned will be $37,745.06.
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The two figures are similar. Write the similarity statement. Justify your answer using factor and showing all work. Describe (in general since it isn't on a graph) the transformations from ABC to the new figure. Please don't troll this is for a unit test!!!!
First Triangle
A to B: 40
B to C: 60
C to A: 50
Second Triangle
X to Y: 31.25
Y to Z: 25
Z to X: 37.5
Answer:
B to C;60
Step-by-step explanation:
Z to X;37.5 CORRECT ME IF IM WRONG #Carryonstudents
a computer screen is 22cm by 12cm. what is the perimeter of the screen
Answer:
The perimeter is 68 cm.
Step-by-step explanation:
Two sides of 22cm = 44cm
Two sides of 12 cm = 24 cm
44cm + 24cm = 68cm.
5 x 7/20 and i really need help
Answer:
THE ANSWER IS 7/4
Step-by-step explanation:
Step-by-step explanation:
[tex]5 \times \frac{7}{20} \\ = \frac{35}{20} \\ = \frac{7}{4} [/tex]
answerr......
In which data set is the mean greater than the median?
According to the skewness of each data-set, the first histogram has a mean greater than the median.
What is the relation between mean, median and skewness?If the mean is greater than the median, the data is positively(right) skewedIf the mean is less than the median, the data is negatively(left) skewedIn this problem, for the mean greater than the median, we want a right-skewed data, which is given by the first histogram.
More can be learned about a data-set skewness at https://brainly.com/question/1446134
Answer:
B
Step-by-step explanation:
took test
Which answer best describes the shape of this distribution?
(A)uniform
(B)skewed left
(C)bell-shaped
(D)skewed right
Answer:
I'm not 100% sure but it might be b
Step-by-step explanation:
What is the value of b?
Enter your answer in the box.
b =
A right triangle with base labeled as b. The hypotenuse is labeled as 34. The perpendicular is labeled as 16. The angle made between base and perpendicular is marked as a right angle.
Answer:
30
[tex]b = \sqrt{ {c}^{2} - {a}^{ {2} } }[/tex]
[tex]b = \sqrt{ {34}^{2} - {16}^{2} } [/tex]
[tex]b = \sqrt{1156 - 256} [/tex]
[tex]b = \sqrt{900} [/tex]
[tex]b = 30[/tex]
i need help ill give uh 15?
Answer:
The answer is b- 1/4 = 4 3/4
Step-by-step explanation:
B stands for the total amount of chocolate bars they started with.
Gabby ate 1/4 of those chocolate bars.
4 3/4 of the chocolate bars were left after that.
So, total amount of bars - what Gabby ate = chocolate bars that are left
b - 1/4 = 4 3/4
HELPPPP ME PLEASE 50 POINTS PLUS brainly
Answer:
input: 1 2 6 18
output: 5 10 30 90
Step-by-step explanation:
Find the value of cos F rounded to the nearest hundredth, if necessary
Using the trigonometric ratios, the value of cos F in the right angle triangle is 0.28 .
What are right angle triangle?Right angle triangle are triangle that has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
Therefore,
cos F = adjacent / hypotenuse
adjacent = FE
hypotenuse = 50
50² - 48² = FE²
FE = √2500 - 2304
FE = √196
FE = 14
Therefore,
cos F = 14 / 50
cos F = 0.28
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If you were to roll two dice, what is the probability that the sum of the numbers showed on the dice is greater than 5?
The probability that an outcome is greater than 5 is the likelihood of the outcome
The probability that the sum of the numbers showed on the dice is greater than 5 is 13/18
How to determine the probability?The sample size of a roll of two dice is:
n(S) = 36
The number of outcomes that have a sum greater than 5 is:
Greater than 5 = 26
So, the required probability is:
P = 26/36
Simplify
P = 13/18
Hence, the probability that the sum of the numbers showed on the dice is greater than 5 is 13/18
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What is the missing length?
10 yd
=
Area of shaded region
50 yd?
Answer:
v = 10 yd
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = 10 , h = v and A = 50 , then
[tex]\frac{1}{2}[/tex] × 10v = 50
5v = 50 ( divide both sides by 5 )
v = 10
HELPPPPPPPPPPPPPPPPPPPPPPp
Answer:
162
Step-by-step explanation:
to find the surface area of the rectangles do base x height
5 x 10 = 50
there are 3 sides on a triangle so do 50 x 3 = 150
now we need to find the area of the triangles
the formula for the surface area would be base x height ÷ 2
3 x 4 = 12
12 ÷ 2 is 6
because there are 2 triangles you would need to multiply it by 2
6 x 2 is 12
add it all together
12 + 150 is 162
Kevin and Randy Muise have a jar containing 63 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $7.35. How many of each type of coin do they have?
Answer:
About 0.1
Step-by-step explanation:
If you divide 7.35 by 63, you get about 0.1.
3. The area of a gym is 2,387 square feet. The area of the bathroom is 7
times less than the area of the gym. What is the area of the gym?
Answer:
795.6?
Step-by-step explanation:
The Area of Bathroom is 391.714 square feet.
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
We have,
Area of Gym = 2387 square feet.
Area of Bathroom is 7 times less than the area of the gym.
So, Area of Bathroom
7x = 2387 + 341
7x = 2728
x= 391.714
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Please help I'll mark barinliest
Ella and Amy are planning trips to
ten countries this year. There are
12 countries they would like to
visit. They are deciding which
countries to skip, how many ways
are there?
Applying the combination formula, the number of ways there are is: 66.
What is Combination?Combination is a technique in maths used in selecting objects from a group of objects in a way that the order in which they are selected does not matter.
Combination formula is given as:
[tex]nC_r = \frac{n!}{r(n - r)!}[/tex]
Given the following:
n = 12 r = 2Plug in the values:
[tex]12C_2 = \frac{12!}{2(12 - 2)!}\\\\12C_2 = \frac{12!}{2(10)!}\\\\12C_2 = \frac{12 \times 11}{2(1)}[/tex]
[tex]\mathbf{12C_2 = 66}[/tex]
Therefore, applying the combination formula, the number of ways there are is: 66.
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The triangle shown below has an area of 22 units, 4 Find the missing length. = units
Answer:
11
Step-by-step explanation:
The formula for the area of a triangle is bh(1/2).
We can model an equation with:
22=4x(1/2)
multiply both sides by 2
44=4x
x=11
FIND THE VALUE OF X FOR BRAINLIEST!!! :D
Answer:
x = 41
Step-by-step explanation:
x = 180 - 97 - 42
x = 41
Sum of the triangle = 180
I hope my answer helps you.
Answer:
x° = 41°
Step-by-step explanation:
x° = (180-42- 97)° = 41°
Hope this helps
Match the verbal expression (term) with its algebraic expression (definition).
Match Term Definition
Some number increased by two A) a ÷ 2
A variable decreased by two B) y2
Product of an unknown value and two C) 2z
Quotient of some number and two D) x − 2
An unknown value squared E) b + 2
Answer:
some number increased by two: (E) b+2
A variable decreased by two: (D) x-2
Product of an unknown value and two (C) 2z
Quotient: (A) a / 2
An unknown value squared: (B) y2
Two vertices of a right triangle have coordinates (37) and (310). The segment that connects these points is a leg of the triangle
Which set of coordinates for the third vertex would create a night triangle?
OS)
Answer:
(7, 8)
I hope my answer helps you.
Can someone help me with this
Answer:
1 / 216, or 0.00462...
Step-by-step explanation:
I will give Brainliest! :<
This meal costs $75.00.
Fatima used a 20% off coupon and then tax was added.
The total after the coupon and tax was $75.00.
What was the tax rate?
Submit and EXPLAIN, please!
Answer:
The discount given on the cost of the meal is $15
Step-by-step explanation:
How to calculate tax on a given price
According to the question, we are given the following information
The original cost of the meal = $75
Off coupon = 20%
Required
The number of coupons given
coupon amount = 0.2 * 75
coupon amount = $15
Hence the discount given on the cost of the meal is $15
ASKING AGAINN COMONN YALL
Answer:
20 units
Step-by-step explanation:
The y axis is 2-6 so subtract 6 and 2 which is 4
the x axis is 3-9 so subtract 9 and 3 which is 6
The other sides are the same
4+4+6+6= 20
When K is positive the parabola ____
Answer:
when the parabola form updward than k is positiveDetermine the degree of the polynomial −57.
Answer:
zero (0)
Step-by-step explanation:
The degree of the polynomial -57 is zero (0).
Hope it helps you in your learning process.
A VIAL OF PIPERACILLIAN 4 G IS RECONSTITUTED WITH 2 Ml OF NORMAL SALINE TO YEILD 2g/mL. What is the concentration of the medication if the patient is to receive 1 mL OF THE MEDICATION? A.1.0g B. 1.5g C. 2.0g D. 2.5g
Answer:
2 gm
Step-by-step explanation:
2 gm / ml * 1 ml = 2 gm
help not understanding this one
Answer:
3/m²³
Step-by-step explanation:
REWRITE
[tex]\sqrt{\frac{36m^2}{4m^24} } =\frac{\sqrt{36m^2} }{\sqrt{4m^24} }[/tex]
DISTRIBUTE SQ ROOT
[tex]\sqrt{36m^2} =\sqrt{36} \sqrt{m^2}= 6m[/tex]
[tex]\sqrt{4m^24} =\sqrt{4} \sqrt{m^24} =2m^12[/tex]
SIMPLIFY
[tex]\frac{6m}{2m^24} =\frac{3m}{m^24} =\frac{3}{m^23}[/tex]
Hope this helps!
a simple random sample of earthquake depths yields the following:
n=600, x=5.82 km, and s=4.93 km
use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00km
The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region.
Test-Static tData;
mean = 5.82s = 4.93n = 600Let's calculate the t-value
[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } }[/tex]
Substitute the values into the equation and solve;
[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } } \\t = \frac{5.82 - 5}{\frac{4.93}{\sqrt{600} }} \\t = \frac{0.82}{0.201} \\t = 4.079[/tex]
The t-value is 4.079
The allowed significance value = 0.01
The degree of freedom is n -1, which becomes 600 - 1 = 599.
The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region, we have to reject the null hypothesis or claim incorrect.
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Your sister Samantha is turning 48 in April. She is 3 times older than your brother John, and twice as old as you. How old is your brother John?
giving brainliest! need this one question soon, thank you so much!
Answer:
7.014m
Step-by-step explanation:
[tex] \frac{11.3}{2.9} = \frac{h}{1.8} \\ h = \frac{11.3 \times 1.8}{2.9} \\ h = 7.013793103448275 \\ h = 7.014m[/tex]
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