Answer:
You know that the beginning salary is $32,000, and it is raised by $1,000 per year.
a) We want to find a recursive relation, let's try to find a pattern:
S₁ = salary on the first year = $32,000
S₂ = salary on the second year = $32,000 + $1,000 = $33,000
S₃ = salary on the third year = $33,000 + $1,000 = $34,000
and so on.
We already can see that the recursive relation is: "the salary of the previous year plus $1,000", this can be written as:
Sₙ = Sₙ₋₁ + $1,000
Such that S₁ = $32,000
b) Your salary in the fifth year is S₅
Let's construct it:
S₃ = $34,000
S₄ = $34,000 + $1,000 = $35,000
S₅ = $35,000 + $1,000 = $36,000
Your salary on the fifth year is $36,000
c) When we have a recursive relation like:
Aₙ = Aₙ₋₁ + d
The sum of the first N elements is given by:
Sum(N) = N*(2*A₁ + (N - 1)*d)/2
Then the sum of your salary for the first 20 years is:
S(20) = 20*(2*$32,000 + (20 - 1)*$1,000)/2
S(20) = $830,000
What is the surface area of this right rectangular prism glass slab with dimensions of 20 inches by 3 inches by 12 inches?
a.576
b.588
c.672
d.648
Answer:
C. 672
Step-by-step explanation:
Answer:
C) 672
Step-by-step explanation:
How many students are enrolled in a course either in calculus, discrete mathematics, data structures, 7. or programming languages at a school if there are 507, 292, 312, and 344 students in these courses, respectively; 14 in both calculus and data structures; 213 in both calculus and programming languages; 211 in both discrete mathematics 558 and data structures; 43 in both discrete mathematics and programming languages; and no student may take calculus and discrete mathematics, or data structures and programming languages, concurrently
Answer:
974
Step-by-step explanation:
Let assume that:
The set of student that took part in Calculus be = C
Those that took part in discrete mathematics be = D
Let those that took part in data structures be = DS; &
Those that took part in Programming language be = P
Thus;
{C} = 507
{D} = 292
{DS} = 312
{P} = 344
For intersections:
{C ∩ DS} = 14
{C ∩ P} = 213
{D ∩ DS} = 211
{D ∩ P} =43
{C ∩ D} = 0
{DS ∩ P} = 0
{C ∩ D ∩ DS ∩ P} = 0
According to principle of inclusion-exclusion;
{C ∪ D ∪ DS ∪ P} = {C} + {D} + {DS} + {P} - {C ∩ D} - {C ∩ DS} - {C ∩ P} - {D ∩ DS} - {D ∩ P} - {DS ∩ P}
{C ∪ D ∪ DS ∪ P} = 507 + 292 + 312 + 344 - 14 - 213 - 211 - 43 - 0
{C ∪ D ∪ DS ∪ P} = 974
Hence, the no of students that took part in either course = 974
yo i really need help please in order to pass this i’ll give a brainliest to anyway who knows the correct answer please no links
all i know is that it would not be 13.9
Answer:
12in
Step-by-step explanation:
this is the only subject i'm good at in math XDDD.
was 10 years and 6 months old when I moved to Mumbai. have been living in Mumbai for the past 13
years 11 months. What is my age now?
24 years and 5 months
add 13 years to ten get 23 add 6 to 11 to get 1 year and 5 months
23 plus 1 years and 5 months = 24 years an 5months
have a nice day please mark brainliest
Can someone help me with this question. Will Mark brainliest.
Answer:
Step-by-step explanation:
Joe has been riding his bicycle at a speed of 12 mph and has gone 48 miles. How long has he been riding?
Answer:
Joe's been riding 4 hours because if you divide 48 by 12 it gives you 4 and it's by hours so it would be 4 hours. point blank period.
Step-by-step explanation:
Find the missing side of this right triangle 8 16
Answer:
[tex]\boxed {\boxed {\sf b= \sqrt{192}}}[/tex]
Step-by-step explanation:
Since this is a right triangle, we can use Pythagorean Theorem to find the sides.
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
In this triangle, 8 and x are the legs because they form the right angle. 16 is the hypotenuse because it is opposite the right angle.
[tex]a=8 \\c=16[/tex]
Substitute the values into the formula.
[tex]8^2+b^2=16^2[/tex]
Solve the exponents.
8² = 8*8= 64 16²=16*16=256[tex]64+b^2=256[/tex]
Subtract 64 from both sides to isolate the variable.
[tex]64-64+b^2= 256-64 \\b^2=192[/tex]
Take the square root of both sides.
[tex]\sqrt {b^2}=\sqrt{192}\\ b=\sqrt{192}[/tex]
The missing side is equal to √192
help wrong answers reported
Answer:
65
Step-by-step explanation:
all triangles angles equal 180°
180-72-43=65
find the value of X, round to the nearest 10th
Answer:
4.0731 cm
Step-by-step explanation:
Use pythagorean Theorem which is a^2 + b^2 = c^2 where a and b are the sides of the triangle and c is the hypotenuse, in other words the longest side.
Since x is in line with the center of the circle and is perpendicular with line that measures 15.6 cm we know that one side of the triangle is half of 15.6 or 7.8.
So then we input our known values into the formula and solve for the missing one. The formula looks like this
7.8^2 + b^2 = 8.8^2
solve for b and you get about 4.07431
your very welcome
Answer:
X= 4.1
Step-by-step explanation:
Other answer wasn't rounded.
X= 4.1 cm
Can someone really help me!
lets take number one for example,
When subtracting negative numbers, the (-) in the number (-20) cancels out the original minus sign, therefore, to answer the equation:
10 - (-20)
you would need to turn the equation into an addition problem, getting the equation:
10 + 20
and from there you can get the simple answer of:
30
(brainliest please)
PR and os are diameters of circle T. What is the
measure of SR?
50°
* 80°
• 100°
120
Answer:
100degrees
Step-by-step explanation:
Find the diagram attached
From the diagram
<PQT =<TRS = 40
Since the triangle STR is isosceles, here,
<TSR =<TRS = 40
Also the sum of angle in a triangle is 189, hence:
Arc SR+<TSR +<TRS = 18₩
ArcSR +40+40=180
ArcSR +80=180
ArcSR = 180-80
ArcSR = 100degrees
Hence the measure of SR is 100degrees
The measure of arc SR is 100°. The correct option is the third option - 100°
Calculating the measure of an Arc
From the question, we are to determine the measure of arc SR.
The measure of arc SR = <STR
Now, we will determine the measure of <STR
In the diagram, T is the center of the circle.
∴ TP and TQ are radii.
Then, we can conclude that ΔPQT is an isosceles triangle.
Recall: Base angles of an isosceles triangle are equal.
∴ <PQT = <TPQ = 40°
Now, consider ΔPQT
<QTP + <TPQ + <PQT = 180° (Sum of angles in a triangle)
<QTP + 40° + 40° = 180°
<QTP + 80° = 180°
<QTP = 180° - 80°
<QTP = 100°
Also, in the diagram, <QTP and <STR are vertically opposite angles
NOTE: Vertically opposite angles are equal
That is, <QTP = <STR
∴ <STR = 100°
Hence, the measure of arc SR is 100°. The correct option is the third option 100°
Learn more on Calculating the measure of an arc here: https://brainly.com/question/3506007
Here is the complete and correct question:
Line PR and Line QS are diameters of circle T. What is the measure of Arc SR?
50°
80°
100°
120°
Please find the attached image
-2021
English
g
p
Which angles are corresponding angles? Select all that
apply.
o 21 and 23
5
3
7
6
4
8
26 and 28
22 and 28
25 and 27
22 and 27
23 and 26
Answer:
I'm not too sure what you mean but since there was no image I tried to look up how to tell if angles are corresponding based on angle degree and the most I got was the angles will be equal but only if there is a transversal cur but none of the answers equal each other
Step-by-step explanation:
so what advice I can give you is corresponding angles are usually the same degree but on a different level. like on the first parallel line there is an angle and on the second (or whatever) there is another angle (on the same side of the first) -meaning they will both be on the right or the left- and yeah there you go
if you have any questions comment and I'll try my best to help
what is the volume of the prism 8 1/2 m 7 m 4 m
Answer:
Step-by-step explanation:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.
Answer:
Step-by-step explanation:
Volume of prism = length * width * height
= 8 1/2 * 7 * 4
[tex]= \frac{17}{2}*7*4\\\\=17 * 7 * 2\\\\= 238 cubic m[/tex]
find the 9th term in 3, -11, -25, -39
Answer:
-53
Step-by-step explanation:
Mrs. Wallace wants to buy 112 gallons of sour cream for a recipe. If sour cream is sold only in 1-pint containers, how many containers will she need to buy?
Answer:
896 containers
Step-by-step explanation:
Given that;
1 pint = 1 container
Convert 112 gallons to pint
1 pint x 0.125 gallons
x = 112gallons
Cross multiply
0.125x = 112
x = 112/0.125
x = 896 pints
Since sour cream is sold only in 1-pint containers, then the total container she will buy is 896 containers
Find the measure of each number:
Step-by-step explanation:
11. angles 1 and 2 are vertical angles, meaning they are congruent.
angle 2=angle 1=38 degrees
14. angles 1 and 2 are supplementary angles, meaning they add to 180 degrees.
angle 1=180-angle 2=180-67=113 degrees
If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?
Answer:
The answer is A.
Step-by-step explanation:
Answer:
Step-by-step explanation:
A is the correct answer on Edge
An airplane is at 32000 feet above sea level and the seeds at an average rate of 1000 feet per minute how many minutes will it take for the airplane to land at an airport 3000 feet above sea level
Answer:
29 minutes
Step-by-step explanation:
Let
x = number of minutes
y = the height of the airplane above sea level in feet
y = 32,000 - 1000x
y = 3,000
Therefore,
y = 32,000 - 1000x
3,000 = 32,000 - 1000x
3,000 - 32,000 = -1000x
-29,000 = -1,000x
x = -29,000 / -1,000
x = 29 minutes
it will take 29 minutes for the airplane to land at an airport 3000 feet above sea level
Is 41.77 a integer?
Answer:
nope, an integer must be a whole number, no fractions / decimals
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
An integer is a whole number or a number that is not a fraction or decimal. So, since 41.77 is a decimal it cannot be an integer. Examples of integers are 41 or -2.
8. The probability that a mature hen will lay an egg on a given day is 0.80. Hannah has 6 hens. Using the table, what is the probability that at
least 2 of the hens will lay eggs on a given day?
4
Number of Eggs
Probability
0
0.000064
1
0.002
2.
0.015
3
0.082
5
0.393
6
?
0.246
Ariana orders 4 large pizzas and 1 order of breadsticks The total for her order is $34.46. Emily orders 2 large pizzas and 1 order of breadsticks. $18.48 is the total for her order. Determine the order for 1 large pizza and 1 order of breadsticks?
Whats the value of x????
Answer:
X = 23
Step-by-step explanation:
oppsosite angles are equal so the brackets equal 90 degrees like the right angle opposite.
90-21 = 69
69 / 3 = 23
x = 23
Answer:
23
Step-by-step explanation:
The equation on the left will equal to 90 due to it being congruent to the angle with the square. Therefore, make the equation out to be 3x+21=90 and subtract 21 from both sides and that will give you 69. Divide 69 by three which will leave you with x=23
the same ice cream shop is running a sale on cylindrical shaped tubs of ice cream. The cylinder has a radius of 4.5 cm and a height of 18 cm. Find the volume of a tub of ice cream
Answer:
you got this
Step-by-step explanation:
I believe in you
Calculate the distance between point B (3,-7) and point C (0,8) on the coordinate grid
Answer:
Distance= 15.3
Step-by-step explanation:
I WILL GIVE 10 POINTS AND BRAINLIEST WHO EVER ANSWERS FIRST The space capsule is moving up at a speed of 80 miles per hour a few seconds after launch. What is the space capsule's velocity per hour
CAN SOMEONE answer this question please
Answer:
x = 18
y = 27
Step-by-step explanation:
Answer:
x = 18
y = 27
Step-by-step explanation:
Furaha pushes his rectangle next to Rahma's rectangle to form a new, longer rectangle. Draw an area model to show the new rectangle. Label the side lengths.
Answer:
See attachment
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the new model
From the question;
Furaha's model is: 6 by 4
Rahma's model is: 7 by 4
When Furaha's rectangle is pushed next to Rahma's, the new model becomes: (6 + 7) by 4
i.e. 13 by 4
See attachment 2
which fraction correctly represents 0.54
Answer:
27/50 is the fraction.
Step-by-step explanation:
Jenica bowls three games and scores an average of 116 points per game. She scores 105 on her first game and 128 on her second game. What does she need to score on her third game to get a mean score of ?
Answer:
230
Step-by-step explanation:230
Find the surface area.
24 in.
40 in.
10 in.
26 in.
NEED HELP ASAP!!
Answer:
200
Step-by-step explanation: