Answer:
$4121.61
Step-by-step explanation:
Use the formula for the balance of an ordinary annuity.
A = P((1 +r/n)^(nt) -1)/(r/n)
A = $1000((1 +.04/2)^(2·2) -1)/(.04/2) ≈ $4121.61
The future value of the account is $4121.61.
arrange the given the decimals in ascending order from least to greatest
To arrange in ascending order means to arrange numbers from the smallest value to the greatest value in the set of numbers provided.
9) 3.021 < 3.12 < 3.121 < 3.21
Look at the 1st decimal place after the point first. 0 is less than 2 & 1, so 3.021 is the least number. Now, for 3.12 & 3.121, look at the 3rd place. 3.12 = 3.120, so it’s smaller than 3.121. Then comes 3.21 which is the greatest number in this set.
10) 5.0090 < 5.05 < 5.059 < 5.5
Here, 5.0090 is the smallest number. Then comes 5.05 = 5.050 which is smaller than 5.059. 5.5 is the greatest number.
_________
RainbowSalt2222 ☔
Which lines are parallel? Why?
A) No lines are parallel
B) a || b by the same side interior angles
C) c || d by the same side interior angles
D) c || d by the converse of the same side interior angles
E) a || b by the converse of the same side interior angles
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The correct Choice is ~ D
a || b by the converse of the same side interior angles
I need help with elementary statistics
What is the value of x in the diagram below? 49 14 2 O A. 7 OB. 8 O C. 9 D. 6
Answer:
just answered
Step-by-step explanation:
The value of x in the given diagram is 7 because the two triangles are similar
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The given two triangle are similar
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Let us form a proportional equation to find x
49/x=14/2
49/x=7
49/7=x
We get x=7
Hence, the value of x in the given diagram is 7 because the two triangles are similar
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I WILL GIVE BRAINLIST IF ALL ANSWERED CORRECTLY
Injured runners train on a special track at a rehabilitation center. The track is a square with a half circle on its left and right sides. The area of the square is 128 square feet. What is the length of the track? Use the table to help you answer the questions.
Square 11.02 11.12 11.22 11.32 11.42 11.52
Value 121.0 123.2 125.4 127.7 130.0 132.3
Square 11.62 11.72 11.82 11.92 12.02
Value 134.6 136.9 139.2 141.6 144.0
1. Fill in the blanks to complete the description of the track. (2 points)
The track has ____ sides of the square and the distance around ____ complete circle(s).
2. The length of one side of the square is the square root of its area. Use the table to find the approximate length of one side of the square. Explain how you used the table to find this information. (2 points)
3. Use your answers above to find the total length of the part of the track that is made up of sides of the square. (2 points)
4. The circumference of (distance around) a circle is π times the diameter, or C = πd. A side of the square is the diameter of each half circle.
In your answer to question 1, you gave the number of complete circles included in the track. Use this answer and C = πd to find the approximate length of the circular part of the track to the nearest tenth of a foot. Use 3.14 for π and show your work. (2 points)
5. Find the approximate length of the track, including the straight and circular sections. (2 points)
Answer:
The length of the track is approximately 51.7 ft
The track has three sides of the square and the distance round a half of a complete circle
Step-by-step explanation:
The given track shape and measurements are;
The shape on the left side of the track = Square
The shape on the right side of the track = Half circle
The area of the square on the the left side of the track = 128 square feet
Therefore, from the area, A, of a square of side length, s, which is s × s, and letting the side length of the square = s, we have;
Area of the square portion of the track = s × s = s² = 128 ft²
Therefore, s = √(128 ft²) = 8·√(2) ft.
Whereby the side length of the square is bounded by the diameter of the half circle, we have;
Length of the diameter of the half circle = s = 8·√(2) ft.
The length of the perimeter of the half circle = π·D/2 = π × 8·√(2)/2 = π × 4·√(2) ≈ 17.77 ft.
The perimeter of the track, which is the length of the track is made up of the three sides of the square opposite to the half circle and the circumference of the half circle.
Therefore;
The length of the track = 3 × 8·√(2) ft + π × 4·√(2) ft. = 4·√2×(π+6) ≈ 51.7 ft
The length of the track ≈ 51.7 ft
Which gives;
The track has three sides of the square and the distance round a half of a complete circle.
geomtry plzzzz help 15 points
Step-by-step explanation:
RV = QV but also = PV = 26
because RVQ and RVP are both isoceles triangles.
TR = QR/2 = 24/2 = 12
because T is the middle point of RQ.
Alf needs to borrow $15,000 to pay for his college tuition. He can borrow the money from his
parents at a rate of 3.55% interest compounded annually for 4 years, or he can borrow from his
local bank at a rate of 3.50% interest compounded continuously for 4 years
Manipulation of Numerical Data
Alf would prefer to borrow from his parents because their rates are more favourable.
The future value of the loan if he borrows from his parents is given by this formula: A(1 + r)^n
Where:
A = amount
R = interest rate
N = number of years
$15,000(1 + 0.0355)^4 = $17,246.13
The future value of the loan if he borrows from the local bank is given by this formula: : A x e^r x N
Where:
A= amount e = 2.7182818 N = number of years r = interest rate$15,000 x 2.7182818^0.035 x 4 = $62,137.18
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Is 0.225 a rational number?
Answer:
Maybe
Step-by-step explanation:
maybe
Answer:
yes because it can be written as a fraction 225/1000
15. A farmer records the number of eggs that chickens on the farm produce each week. The table
shows the results.
143
160
117
137
152
108
128
If during the next week, the chickens on the farm produce 60 eggs, which statement is true?
A The value 60 is an outlier that will skew the data to the left.
B The value 60 is an outlier that will skew the data to the right.
С The value 60 is not an outlier, and it will not skew the data in either direction.
D
The value 60 is not an outlier, and the effect on the data is unknown.
Which side lengths could NOT form a triangle?
Answer options:
5 m, 6 m, 8 m
10 m, 10 m, 2 m
19 m, 34 m, 15 m
3 m, 16 m, 14 m
The sides for which a triangle is not possible are 19 m, 34 m, 15 m. The correct option is (c).
What is a triangle?A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.
The given options are considered one by one
(a) 5 m, 6 m, 8 m
For a triangle, the sum of its two sides is always greater than its longest side.
For the given triangle the longest side is 8.
Since 5 + 6 > 8, the given sides can form a triangle.
(b) 10 m, 10 m, 2 m
For a triangle, the sum of its two sides is always greater than its longest side.
For the given triangle the longest side is 10.
Since 10 + 2 > 10, the given sides can form a triangle.
(c) 19 m, 34 m, 15 m
For a triangle, the sum of its two sides is always greater than its longest side.
For the given triangle the longest side is 34.
Since 19 + 15 = 34, the given sides cannot form a triangle.
(d) 3 m, 16 m, 14 m
For a triangle, the sum of its two sides is always greater than its longest side.
For the given triangle the longest side is 16.
Since 14 + 3 > 16, the given sides can form a triangle.
Hence, the sides that cannot form a triangle are 19 m, 34 m, 15 m.
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Select the best answer.
sin(3pi/3 + x) =
• sinx
• -sinx
• -cosx
• cosx
Answer:
-sin x
Step-by-step explanation:
sin(3π/3+x)=sin (π+x)=-sin x
or
sin (π+x)=sin πcos x+cos π sin x=(0)cos x+(-1)sin x=0-sin x=-sin x
Nina and Jo both ran a 9 km race.
Nina took 1 hour 15 minutes to run the whole race.
Jo started the race 4 minutes later than Nina but caught up when they had both travelled 6 km.
If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
9514 1404 393
Answer:
7.83 km/h
Step-by-step explanation:
At her constant pace, Nina's time for 6 km will be found by the proportion ...
(time for 6 km)/(6 km) = (time for 9 km)/(9 km)
time for 6 km = (6 km)/(9 km) × (75 min) = 50 min
Jo's time for the same distance will be 4 minutes less: 50 -4 = 46 min. Jo's speed is ...
speed = distance/time
= (6 km)/(46/60 h) = 360/46 h ≈ 7.83 km/h . . . . Jo's speed
_____
Additional comment
From the 6 km point, the remaining race is half the distance already run, so will take half the time already taken. As we know, Nina will finish in 25 more minutes; Jo will finish in 46/2 = 23 more minutes, 2 minutes ahead of Nina.
Find the product. Simplify your answer.
(3p–2)(4p–1)
there you go the answer is in the picture
41=12d-7 what is the value of d in this equation
Answer:
d= 4
Step-by-step explanation:
HELP PLS
Answer:
the anser is the first one
The ratio of boys to girls is 7:5. The ratio of boys with glasses to boys without glasses is 1:6. The ratio of girls with glasses to girls without glasses is 1:3. What fraction of students wear glasses?
Answer:
3/16
Step-by-step explanation:
Boys with glasses are 1/(1+6) = 1/7 of boys. Boys are 7/(7+5) = 7/12 of the group.
Girls with glasses are 1/(1+3) = 1/4 of girls. Girls are 5/(7+5) = 5/12 of the group.
The fraction of the group that wears glasses is ...
(1/7)(7/12) +(1/4)(5/12) = 1/12 +5/48 = 9/48 = 3/16
3/16 of the students wear glasses.
_____
Additional comment
It appears we can choose a multiple of 48 students to work out the detailed numbers. For 48 students, the ratio of boys to girls is 28 : 20. The ratio of boys with glasses to those without is 4 : 24, and the similar ratio for girls is 5 : 15. In our group of 48 students, 4 boys and 5 girls = 9 students wear glasses. The fraction is 9/48 = 3/16 as shown above.
Help please
Answer question 2 please
On the list of facts, the second fact says "A quarter of the nuts are walnuts.".
A quarter of 956 is => 239 <= .
Please help! Only answer if correct.
After driving x miles, the first plan costs
60 + 0.70x
dollars, while the second plan costs
0.80x
dollars.
The plans cost the same when these prices are equal:
60 + 0.70x = 0.80x
Solve for x :
60 = 0.80x - 0.70x
60 = 0.10x
x = 60/0.10
x = 600
can someone help with this
Step-by-step explanation:
A. n is the number of persons excluding chaperones
B. The equation describes the situation where the total admission cost at orchard A is equal to that of B. (This happens at n=17 persons)
C. For which number of persons is orchard A cheaper than orchard B? (It will be for n is more than 17 persons, but there is no requirement to calculate this).
what is 1,623 x 2,908? please help
Answer:
1,623 x 2,908 = 4,719,684
Answer:
4719684
Step-by-step explanation:
Tell me if you want one.
help
me
please
i
really
need
help
Answer:
16/35 chapters per hourStep-by-step explanation:
Set a ratio:
7/8 hours ⇒ 2/5 chapters1 hour ⇒ x chaptersFind the value of x by cross-multiplication:
x = 1 × 2/5 ÷ 7/8x = 2/5 × 8/7x = 16/35what is 3a² bc
² if a= 2 b =3 c =4
Answer:
If a=2, b=3, c=4,
3a²bc = 3(2)²(3)(4)
= 3×4×3×4
= 12²
= 144
Answer:
the answer is 144
Step-by-step explanation:
3a²bc
=3×2×2×3×4
=3×4×12
=12×12
=144
A secured loan would most likely be used to pay for
A. college
B. a car
C. groceries
D. a phone
A secured loan would most likely be used to pay for a car, the correct option is B.
We are given that;
The four options
Now,
A secured loan is a loan that is backed up by collateral pledged by the borrower, such as a car or property.
The lender can sell the collateral to cover repayment of the loan if the borrower defaults.
Car, since it is a common type of collateral for secured loans.
College, groceries and a phone are less likely to be used as collateral for secured loans, since they are either intangible, perishable or low-value assets.
Therefore, by loan the answer will be car.
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fast hurry no link no bot please right
9514 1404 393
Answer:
(d) 972π in³
Step-by-step explanation:
The formula for the volume of a sphere is ...
V = 4/3πr³
The sphere has a diameter of 18 in, so a radius of 9 in. Its volume is ...
V = (4/3)π(9 in)³ = (4/3)729π in³ = 972π in³
The container can hold 972π in³ of water.
What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ?
y−1=8/9(x−4)
y+1=8/9(x+4)
y+4=9/8(x+1)
y+1=8/7(x+4)
Answer:
y+1=8/9(x+4)
Step-by-step explanation:
Tell me if you want one!
5. Aaron sold 126 boxes of cookies. This is 14 more than twice the
number of boxes his sister, Victoria, sold. How many boxes of
cookies did Victoria sell?
Answer:
112
Step-by-step explanation:
Aaron = y
Victoria = x
y = 14 +x
126 = 14 + x
x = 112
Victoria sold 112 boxes of cookies
What is the solution to -5m = -40?
A. m = -8
B. m = 200
C. m = -200
D. m = 8
bru,h does anyone know this?
Answer:
The width is 410ft and the length is 780ft
Find the sum 52,679 + 3,596
Answer:
56,275
Step-by-step explanation:
someone please please help me
Answer:
11
Step-by-step explanation: