Answer: $53,330
Step-by-step explanation:
This is an exponential function so to find the salary in 3 years, you need to use a future value formula such as :
= Amount * ( 1 + rate) ^ number of years
Amount = $51,000
Rate = 1.5%
Number of years = 3 years
Salary = 51,000 * ( 1 + 1.5%)³
= 53,329.59
= $53,330
Are two congruent figures similar?Explain
Answer:
Ye cs they're both cong.
Step-by-step explanation:
Answer:
Which figures
Step-by-step explanation:
What is the value of f(-3) when f(x)=5(2)
Answer:
a) 5/8
Step-by-step explanation:
f(-3) when f(x)=5(2)^x just replace the x with -3
f(x)=5(2)^x = 5 (2)^-3 we find the 3rd power of 2 first which means multiply 2 with itself 3 times
2×2×2 = 8 but here, it asks us for negative third power of 2 so we turn the 8 upside down :
if 2^3 = 8 then 2^-3 = 1/8 and now we multiply it with 5
5 × 1/8 = 5/8
A cake has two layers. Each layer
is a regular hexagonal prism. A slice removes one face of
each prism, as shown.
a. What is the volume of the slice?
b. What is the volume of the remaining cake?
Answer:
Volume of slice is 40 in³
Volume of the remaining cake is 197.014 in³
Step-by-step explanation:
hope this helps!!
brainliest please?
n a recent survey, 55 out of 125 adults stated that they slept late on Saturday mornings. What percent of adults surveyed slept late on Saturday mornings?
Answer:
44%
Step-by-step explanation:
55 out of 125 just means we divide 55 by 125.
[tex]\frac{55}{125} = .44[/tex]
[tex].44 = 44%[/tex]%
.44 can be converted to 44% by moving the decimals place.
Question in pic!!! will give brainliest!! help asapp!
Answer:
Quadratic Trinomial
Step-by-step explanation:
Hello there!
quadratic trinomial equations look like - [tex]x^2+bx+c[/tex]
given formula [tex]n^2-7n+21[/tex] which is in the form of a quadratic trinomial
a quadratic trinomial consist of a constant, a variable to the power of 2, and a variable
Reasons why its not the other answer choices:
Linear equations do not have variables with powers therefore we can eliminate answer choice linear trinomial and linear polynomial
[tex]n^2-7n+21[/tex] is not a quadratic polynomial because a quadratic polynomial consists of a = 0
This is what a quadratic polynomial looks like
[tex]ax^2+bx+c=0[/tex]
so we can conclude that [tex]x^2+bx+c[/tex] is an example of a quadratic trinomial
Last question on my assignment need help. Find x.
Answer:
I think it would be 20 hope it helps and good luck
Step-by-step explanation:
Answer:
i think its at 21
Step-by-step explanation:
helpppppppppp plzzzzzzz due in 20 min
Answer:
A. [tex]3<\sqrt{15} <4[/tex]
Step-by-step explanation:
First we need to know what [tex]\sqrt{15}[/tex] equals.
It equals around 3.87, which is more than 3 and less than 4.
Answer: It might be "A" i dont know.
Subject:Mathematics
Answer:
true sorry if wrong im not the best at this type of math but im average
Step-by-step explanation:
Compare the unit rates to find which is the better value.
A. 24 cans for $21.36
B. 12 cans for $10.56
C. 20 cans for $17.20
D. 16 cans for $13.60 m
Answer:
The 16 cans for 13.60
Step-by-step explanation:
21.36 ÷ 24 = 0.89
10.56 ÷ 12 = 0.88
17.20 ÷ 20 = 0.86
13.60 ÷ 16 = 0.85
The 16 cans for 13.60 is the best buy, just remember, cost ÷ amount!!
Answer:
i think the awnser wold be 16 cans for 13.60$
Step-by-step explanation:
if i am wrong i am truly sorry!
you can buy 16 cans for 13.60 and if you need more you would be saving a lot of money for 32 cans for 17.20.
Ten students each attempted 10 free throws. This list shows how many free throws each student made. 8 5 6 6 4 9 7 6 5 9 What is the median number of free throws made?
Answer:
six 6 is the median number i think
Step-by-step explanation:
-3.5 + x7= -5.2
pls answer
Larry's math teacher did not want to announce her age. She told her students if
they could solve the riddle, it would reveal how old she was. Her riddle stated: "The
product of my age and five, then decreased by twenty and finally increased by my
age times negative three is fifty." How old was Larry's math teacher? Hint: Write the
equation first, then solve to find the missing part.
Answer:
age is 35
Step-by-step explanation:
5a - 20 + (-3a) = 50
2a - 20 = 50
2a = 70
a = 35
the elevator at an old hotel has a weight limit of 1200 pounds. Assume the average person weighs 150 pounds and has a 10 pound luggage. What is the greatest amount of people that can ride the elevator at the same time
A: 7 people
B: 9 people
C: 11 people
D: 13 people
Need help with answers
FIND THE AREA (LEAVE EXPLANATION)
Answer:
20 yd²
Step-by-step explanation:
lets do the big one
4 x (6-2) = 4 x 4 = 16 yd²
2 x (4-2) = 2x2 = 4 yd²
16 yd² + 4 yd² = 20 yd²
Another way
Find the area of the figure if it was a rectangle
4 x 6 = 24 yd²
then subtract 2 x 2 = 24 yd² - 4 yd² = 20 yd²
Answer:
20
Step-by-step explanation:
Solve the area of the squares separately, then add. the small square has a length and width of 2, and 2x2 is 4, so that area is 4. the bigger one has a length and width of 4, and 4x4 is 16, and then we add the two values together, and 16+4 is 20, so the total area is 20.
help plsss!!!
For which interval is the function constant?
(2, 6)
(6, ∞)
(−∞, 0)
(0, 2)
9514 1404 393
Answer:
(a) (2, 6)
Step-by-step explanation:
The function is constant where its graph is horizontal. That portion of the graph lies between x=2 and x=6. In interval notation, the function is constant in the interval (2, 6).
2/3(x - 6)=6 what is the value of x?
Answer:
15
Step-by-step explanation:
Need help with this trigonometry word problem
From the top of the tower 30 m height a man is observing the base of a tree at an angle of depression measuring 30 degree. Find the distance between the tree and the tower.
Please show your work
Answer:
30√3 m ≈ 52 m
Step-by-step explanation:
The side ratios in a 30°-60°-90° triangle are 1 : √3 : 2. The long leg of the triangle is √3 times 30 m, or about 51.96 m.
The distance between the tree and the tower is about 30√3 m ≈ 52 m.
__
If you haven't memorized the ratios of this special triangle, you can use the relation ...
Tan = Opposite/Adjacent
tan(30°) = 30/d
d = 30/tan(30°) = 30√3 = 51.96 . . . . same as above
at the high school 1/3 of the students play a instrument,of the students who play a instrument 2/3 play a string instrument,what fraction of the students at the high school play a string instrument
What is 1/2 to the power of 5??
Answer:
1/32
Step-by-step explanation:
5+ 3x - 37 = 6x + 23 - 8x what is the value for x
Answer:
The value of X is 11
X=11
Step-by-step explanation:
Isolate the variable by dividing each side by the factors that don't contain the cariable.
Write a paragraph explaining why consumer goods packaged in cube-shaped boxes would use less packaging material than rectangular boxes containing the same product volumes. Provide an example, including sketches of the boxes and their dimensions, to substantiate your explanation. Why aren’t more products in cube-shaped boxes?
Answer:
Students review how to determine the surface area and volume of a rectangular prism, that all dimensions are equal in cubes so the volume of cubes are the length of any side raised to the third power, or cubed. This prepares them for two associated activities. First, students find the volumes and surface areas of rectangular boxes such as cereal boxes and then figure out how to convert their boxes into a new, cubical boxes having the same volume as the original. As they construct the new, cube-shaped boxes from the original box material, students discover that the cubical box has less surface area than the original, and thus, a cube is a more efficient way to package items. Students consider why consumer goods are generally not packaged in cube-shaped boxes, even though this would require fewer materials and ultimately, less waste. Then, to display their findings, each student designs and constructs a mobile that contains a duplicate of his or her original box, the new cube-shaped box of the same volume, the scraps that are left over from the original box, and pertinent calculations of the volumes and surface areas involved.
Step-by-step explanation:
Thank you for your time have a good day!If 3^2x+1 - 3^x+5, what is the value of x?
Answer:
3^(2x+1)
Step-by-step explanation: srry if am wrong and am probally wrong.
solve using the triangle sum therom
Write the quadratic function 5x2 - 40x + 60 in its vertex form by completing the square. Then
identify its turning point.
9514 1404 393
Answer:
5(x -4)² -20turning point = (4, -20)Step-by-step explanation:
It can work well to factor the leading coefficient from the x-terms.
5(x² -8x) +60
Now, add the square of half the x-coefficient inside parentheses, and subtract the same amount outside parentheses.
5(x² -8x +16) +60 -(5)(16)
5(x -4)² -20 . . . . write as a square, simplify the added constant
The vertex form is ...
5(x -4)² -20
It shows you the vertex is (4, -20). This is the turning point.
_____
Vertex form is a(x -h)² +k, where (h, k) is the vertex.
Is 0.000068 greater than or less than 0.0000678?
Answer:
.000068 is greater than .0000678
A box contains 45 cubes numbered 1-45. What is the probability of pulling out 2 primes in a row if the first one is. It replaced?
Answer:
1/9
Step-by-step explanation:
prime #'s between 1 and 45:
2,3,5,7,11,13,17,19,23,27,29,31,37,41,43
P(prime,prime) = 15/45 × 15/45 or 1/3 × 1/3
Work out the volume of this cylinder? 12m height and 5m radius
Answer:
942m³
Step-by-step explanation:
π×radius²×height
π×5²×12=942.4777961m²
to 3sf it's
942m³
3 significant figures is 3 numbers.
Question :-
What is the volume of a cylinder with a radius of 5 m and a height of 12 m?Answer :-
The volume of a cylinder is 942 m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5 \: m}}\put(9,17.5){\sf{12 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 5 meters. The height of a cylinder is 12 meters. We have been asked to find the volume of a cylinder.
To calculate the volume of a cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(5 \: m)^2(12 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(25 \:m^2)(12 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (78.5 \:m^2)(12 \:m)[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 942 \: m^3}[/tex]
Therefore :-
The volume of a cylinder is 942 m³.[tex]\\[/tex]
Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979
Have a great day! <33
Solve for c, giving brainliest. please show your work/explain, i got to the point of square rooting 185, but i don't understand where to go from there if it cannot be simplified. Thanks.
Answer:
13.6 in (mrs clark)
Step-by-step explanation:
a²+b²=c²
16 + 169 = c²
c² = 185
c ≈ 13.6
2 quarts of paint equally into 6 containers how much paint in quarts into each container written as a fraction
Answer:
0.333 or 1/3
Step-by-step explanation:
2/6 = 0.333 = 1/3