The required equation is D = 5n + 200 and the amount deposited after 8 months is $240
Given the amount that steven deposited every month as $200
Let n be the number of months
If he decides to increase the amount by $5 every month, then the amount added after n months will be $5nThe function that describes the arithmetic sequence will be expressed as sum of the amount deposited and increment:D = 200 + 5n = 5n + 200
In order to get the amount deposited after 8 months, we will replace n by 8 to have:
D = 200 + 5(n)
D = 200 + 5(8)
D = 200 + 40
D = 240
Hence the required equation is D = 5n + 200 and the amount deposited after 8 months is $240
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Find the volume for each.
Answer:
Volume of cuboid = 1,386 inch³
Step-by-step explanation:
Given:
Length of cuboid = 14 inch
Width of cuboid = 9 inch
Height of cuboid = 11 inch
Find:
Volume of cuboid
Computation:
Volume of cuboid = Length of cuboid x Width of cuboid x Height of cuboid
Volume of cuboid = 14 inch x 9 inch x 11 inch
Volume of cuboid = 126 inch² x 11 inch
Volume of cuboid = 1,386 inch³
Tony answered all the questions on his math test but got 5 answers wrong. There is a 1 point pent
for every wrong answer. He received 4 points for every correct answer. His score was 72. How many questions did Tony answer correctly on his Math test?
Answer:
I believe he answered 18 questions correctly.
The value of the power (-8) ti the second power is
Answer:
64
-8 to the second power is -8^2 Which is -8×-8 Which gives 64
PLZ HELP!! I RLY NEED IT!! Josie selected 6 books from thr library. However, he can only check out 4 books at a time. How many possible selections can he make?
Answer:
4 selections
Step-by-step explanation:
We are told in the question that:
Josie selected 6 books from the library. However, he can only check out 4 books at a time.
The number of possible selections can he make is 4 selections. This is because, He can only take 4 books out of the library at a time. This is the standard.
The length of a rectangular screen is 6 feet, and the width of the screen is 8 feet. What is the length of a diagonal of this screen in feet?
Answer:
Length of diagonal = 10 feet
Step-by-step explanation:
Length of a rectangular screen = 6 feet
Width of the rectangular screen = 8 feet
Since, all interior angles of a rectangle are 90°,
Triangle formed with two adjacent sides and the diagonal will be a right triangle.
By applying Pythagoras theorem,
Hypotenuse² = (leg 1)² + (leg 2)²
(Diagonal)² = (leg 1)² + (leg 2)²
Diagonal = [tex]\sqrt{6^2+8^2}[/tex]
= [tex]\sqrt{100}[/tex]
= 10 feet
If the measure of Angle B = 54°, what is the measure, in degrees, of Angle BCA in the
triangle?
Answer:
5
Step-by-step explanation:
thanks for the points
If who answers fast, correct and first, I WILL GIVE YOU THE BRAINLIEST!!!!!!!!!!!
Answer:
Is A.
Step-by-step explanation:
22 < 7x+57
7x+57>22
7x>-35
x>-5
Q 18: Melissa uses 150 g of sugar for every 6 eggs. How many eggs should she use with 350 g of
sugar?
Answer:
14 eggs
Step-by-step explanation:
150 grams need 6 eggs
1 gram need 6 ÷ 150 eggs
350 grams need 350×6÷ 150 = 14 eggs
How do I find the missing side length to the nearest tenth of a millimeter.
Answer:
11.5
Step-by-step explanation:
$20 is what percent of $40?
Please help ples
Answer:
50%
Step-by-step explanation:
50%
$20=50%
$20 x 2= $40
What is the answer to question b and d
Answer:
Step-by-step explanation:
a) -3
b) 5
c) -2
d) -6
Answer:
a) (-3)
b) 5
c) (-2)
d) (-6)
Hope it helps!!
You can use the formula is A = 1/2 b•h to find the area of every triangle.
area
of
A
True
B
False
Answer:
True. Every Triangle is true to this formula.
yeah it's true we can found area of every triangle with that fomula
Rebecca is sharing a pizza with some friends. Below is an Image of how she cuts the pizza.
AE is a diameter of the 20 in pizza!
a) If rebecca wants the biggest piece which one would she choose ( name it by its arc)? Be careful the image may not be drawn to scale
b) Rebecca loves stuffed crust!! She decides to figure out the length of cheese in her piece of the crust ( hint find the arc length
Answer:
a) The piece of pizza she should choose is BE
b) The length of the cheese in her piece of the crust is approximately 20.07 inches
Step-by-step explanation:
The given diameter of the pizza, AE = 20 in.
The measure of the arc AB, [tex]m\widehat{AB}[/tex] = ∠ACB = 65°
The measure of the arc DE, [tex]m\widehat{DE}[/tex] = ∠DCE = 110°
Given that AE is the diameter of the circular pizza, we have;
[tex]m\widehat{BE}[/tex] = ∠BCE = 180° - ∠ACB = 180° - 65° = 115°
Similarly;
∠ACD = 180° - ∠DCE = 180° - 110° = 70°
a) The biggest piece of pizza is the piece with the largest angle which is the piece formed by arc BE, [tex]m\widehat{BE}[/tex] = 115°
The piece of pizza she should choose is the piece, BE
b) Arc length = (Arc angle)/360 × (Circumference of the circle)
The circumference of the circular pizza, C = π × Diameter = π × length [tex]\overline {AE}[/tex]
∴ C = π × 20 in.
The arc length of the arc BE = 115/360 × π × 20 = 115·π/18 ≈ 20.07
The length of the cheese in her piece of the crust, l = The arc length of the arc BE ≈ 20.07 inches.
What is the length, in centimeters, of the hypotenuse of a right triangle with legs measuring V2 cm and 3 cm?
Answer:
[tex] \sqrt{13} [/tex]
Step-by-step explanation:
A is the hyp. And b/c are the sides
A²=b²+c²=3²+2²=9+4=13
Now take the square root of 13 as the answer
The volume of the box is 60 cubic inches. What are
the length, width, and height of the box?
Answer: The volume is the product of the Length, Width, and Height: V = LWH.
Step-by-step explanation: We are given V = 240 in.3, and H = 6 in., and L = W + 3 in.
Thus 240 in.3 = (W+3 in.)*W*(6 in.) so W(W+3 in.) = 240 in.3 / 6 in. = 40 in.2
Using the distributive property and moving the constant to the left gives:
W2 + (3 in.)W - 40 in.2 = 0
This factors:
(W + 8 in.)(W - 5 in.) = 0
The first factor gives W = -8 in. which is nonsense because it is negative.
The second factor gives a valid answer of W = 5 in.
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean Theorem.
A triangle has a slant of 5ft, a height of 4ft, and a base of 3ft. What is its area?
A. 6ft^2
B. 10ft^2
C. 12ft^2
D. 20ft^2
Cost of the student ticket to the school play is $7. Write an equation that correctly relates the total cost, c,
Complete question :
The cost of a student ticket to the school play is $7. Write an equation that correctly relates the total cost, c, for a particular number, s, of student tickets purchased. Identify the independent and dependent variable.
Answer:
Dependent variable = Total cost
Independent variable = number of students
Step-by-step explanation:
The total cost equation is :
Total cost, c = cost per ticket * number of tickets
c = 7 * s
c = 7s
The Independent variable also called the predictor variable is the number of students in the scenario described above as it is the variable upon which the total cost relies. It dictates the value of the output or dependent variable. As we vary the value of the Independent variable, number of students, the total cost which is the dependent variable also varies. The dependent variable on the other hand is the predicted value or variable which is controlled by the independent variable. The dependent variable in this case is the total cost, c
Check the box labeled show altitude of triangle ABC. The altitude divides ABC into ADB and BDC through the point you determined in question 2.
14 more to go please help
Answer:
B) 31.25%
Step-by-step explanation:
Out of 100 employees at a company, 92 employees either work part time or work 5 days each week. There are 14 employees who work part time and 80 employees who work 5 days each week. What is the probability that a randomly selected employee works both part time and 5 days each week?
Answer: 0.02
Step-by-step explanation:
OpenStudy (judygreeneyes):
Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is
P(A U B) = P(A) +P(B) - P(A and B).
The problem has given us each of these pieces except the intersection, so we can solve for it,
If you plug in P(A U B) = 0.92 and P(A) = 0.14, and P(B) = 0.80, you can solve for P(A and B), which will give you the answer.
I hope this helps you.
Credit: https://questioncove.com/updates/5734d282e4b06d54e1496ac8
Answer:
The probability that a randomly selected employee works both part time and 5 days each week is 0.02
Step-by-step explanation:
What is probability?
Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event.
The total employees =100
Let A= Employees who work part time = 14
and B = Employees who work 5 days each week = 80
Then, A∪B= 92
We have to find, P(A∩B)
P(A∪B)=P(A)+P(B)-P(A∩B)
[tex]\frac{92}{100}=\frac{14}{100}+\frac{80}{100}-[/tex]P(A∩B)
0.92=0.14+0.8-P(A∩B)
0.92=0.94-P(A∩B)
P(A∩B)=0.02
Hence, the probability that a randomly selected employee works both part time and 5 days each week is 0.02.
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https://brainly.com/question/23044118
# SPJ2
what would be the answer
Answer:
B= 21.195
Step-by-step explanation:
Inner circle area = 3.14×1.5×1.5=7.065
Outer circle area = 3.14× 3×3 = 28.26
3 is the radius of the outer circle
Area of the shaded portion is = area of outer circle - area of inner circle
28.26-7.065=21.195
Answer B= 21.195
Find the slope of the line that passes through the points (2,4)and (6,12)
Answer:
2
Step-by-step explanation:
slope = rise/run
slope = (12-4)/(6-2) = 8/4 = 2
A 68 kg deer has a momentum of 952 kg-m/s. What is its velocity?
Answer:
14 m/s
Step-by-step explanation:
Find the value of y. Round to the nearest tenths place.
Answer:
y = 12
Step-by-step explanation:
Look at the left triangle first. Opposite the 30 degree angle (not shown) is the shortest side, which (according to the sine function) is half the hypotenuse, or 2√3. Then (2√3)² + x² = (4√3)², or
4(3) + x² = 16(3). Thus, x² = 16(3) - 4(3) = 12(3) = 36, and so x = 6. Again using the sine function, we find that x = 2y = 6, so, using the sine function, we find that sin 30° = 6/y. Thus y = 6 / (2/1) = 12 = y
helppp helping my sister
A farmer had a total of 995 horses and cows. After selling some of the horses and cows, he had 510 horses and 390 cows left. How many horses and cows did he sell altogether?
a =
horses and cows
Complementary, Supplementary or neither?
Answer:
whaats the question
Step-by-step explanation:
HeLp Me !!!!!!!!!!!!!!!!!!!
Answer:45.1%
Step-by-step explanation:
(5x - 7y + 8) + (-y + 6 - 4x) + (9 - 3x + 8y)