Answer:
Number of year = 17 year 4 month (Approx.)
Step-by-step explanation:
Given:
Current amount = $500
Future amount = 2 x 500 = $1,000
Rate of interest = 4%
Find:
Number of year
Computation:
Rate [Monthly] = 4% / 12 = 0.00333
Total time = 12 x n = 12n
A = P[1+r]¹²ⁿ
1000 = 500[1+0.003333]¹²ⁿ
2 = [1+0.003333]¹²ⁿ
2 = [1.003333]¹²ⁿ
Number of year = 17.358
Number of year = 17 year 4 month (Approx.)
given the function f(x)= √x+7, find the value of x when f(x)=1
Heeeeeeelp meeee pleaseeeee
Answer:
755887578787-∵°
Step-by-step explanation:
PLEASE I NEED HELP ASAP!!
Answer:
8√2
Step-by-step explanation:
BRAINIEST TO WHOEVER RIGHT
Could you get a closer picture?
Extra Credit:
8 congruent spheres are packed into a cube with
edge length x so that each sphere is tangent to 3
faces of the cube and 3 other spheres as shown.
what is the ratio of the total volume of the
spheres of the volume of the cube?
Answer:
Ratio of the volumes of the spheres and cube = 0.523
Step-by-step explanation:
From the figure attached,
Diameter of one sphere = Half of the measure of one side of the cube
= [tex]\frac{x}{2}[/tex]
Radius of the sphere = [tex]\frac{\frac{x}{2}}{2}[/tex]
= [tex]\frac{x}{4}[/tex]
Volume of a cube is given by the formula,
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
Therefore, volume of one sphere = [tex]\frac{4}{3}\pi (\frac{x}{4})^{3}[/tex]
= [tex]\frac{x^3\pi}{48}[/tex]
Volume of 8 spheres = [tex]8\times \frac{x^3\pi}{48}[/tex]
= [tex]\frac{x^3\pi}{6}[/tex]
Volume of a cube = (side)³
= [tex]x^3[/tex]
Ratio of the volumes of the sphere and cube = [tex]\frac{\frac{\pi x^3}{6} }{x^3}[/tex]
= [tex]\frac{\pi}{6}[/tex]
≈ 0.523
Which two shapes have perimeters of 18 feet but have different areas?(1 point)
A rectangle with a length of 9 ft. and a width of 2 ft. and a rectangle with a length of 6 ft. and a width of 3 ft.
A rectangle with a length of 5 ft. and a width of 3 ft. and a square with a side length of 4 ft.
A rectangle with a length of 7 ft. and a width of 2 ft. and a rectangle with a length of 6 ft. and a width of 3 ft.
A rectangle with a length of 8 ft. and a width of 2 ft. and a square with a side length of 4 ft.
Answer:
they have different areas and different perimeters
Step-by-step explanation:
Plz help, its worth 200 points by today
Answer:
[tex]X = \sqrt{39}[/tex]
Step-by-step explanation:
[tex]1)\ X^2 + 5^2 = Y^2\ (Y\ is\ the\ hypotenuse\ of\ the\ smaller\ triangle)[/tex]
[tex]2)\ Y^2 + 6^2 = 10^2[/tex]
[tex]3)\ X^2 + 25 + 36 = 100[/tex]
[tex]4)\ X^2 = 39[/tex]
[tex]5)\ X = \sqrt{39}[/tex]
Answer:
X = [tex]\sqrt{39}[/tex]
Step-by-step explanation:
Summer Job!
Earn $150/week
Plus $2.75 per subscription sold
Let: T = Total weekly earnings
N = Number of subscriptions sold
Choose the equation that models weekly earnings for the summer job
advertisement.
Multiplying by a positive number will give a positive product. TrueFalse
Answer:
true
Step-by-step explanation:
6x - 4y = 38
x + y = 5
Answer: y= -4/5 and x= 29/5
Step-by-step explanation:
From eqn2 , x= 5-y. Thus substituting in eqn1 will give
6(5-y)-4y=38
30-6y-4y=38
30-10y=38
-10y=38-30
-10y= 8
y=8/-10---> y= -4/5
Substituting y in eqn2 we have
x+(-4/5)=5
x=5+4/5
x=29/5
Simply by adding like terms: -7x^2*y*z + 3y*z^2 - z*x^2*y - 4y
9514 1404 393
Answer:
-8x^2·y·z +3y·z^2 -4y
Step-by-step explanation:
It can be helpful to make sure the variables in each term are in alphabetical order. This makes it easier to see "like" terms. The variables in each term are ...
x^2 y z
y z^2
x^2 y z
y
Only the first and third terms are like terms, so those are the only ones that can be combined. Their coefficients are -7 and -1, so sum to -8. The combined term is of highest degree, so in standard form we list that term first.
= -8x^2·y·z +3y·z^2 -4y
y is directly proportional to x.
When y = 30, x = 6
a) Work out an equation connecting y and x.
b) Work out the value of y when x=12
help pls!!!! no links pls and thank you sm!!!
Answer:
after 10 months farm a and b have the same amount of animals
Step-by-step explanation:
hope this helps :)
Help me with this please!!!!!!
Answer:
w = [tex]14\sqrt{2}[/tex]
Step-by-step explanation:
Sin(60) = [tex]7\sqrt{6}[/tex] / w
Sin(60) * w = [tex]7\sqrt{6}[/tex]
w = [tex]7\sqrt{6}[/tex] / Sin(60)
w = [tex]14\sqrt{2}[/tex]
Hope this helps!
help ASAP!!!
The Great Pyramids of Khufu is located in El Giza, Egypt. Pyramids were built to serve as tombs for the pharaohs of ancient Egypt. The Great Pyramid is 481
feet high and has a square base with a base edge length of 756 feet. What is the approximate surface area (to the nearest hundredth) of the pyramid.
(HINT: Is the base on the surface?)
[tex] \huge \frak \orange {question:-}[/tex]
The Great Pyramids of Khufu is located in El Giza, Egypt. Pyramids were built to serve as tombs for the pharaohs of ancient Egypt. The Great Pyramid is 481 feet high and has a square base with a base edge length of 756 feet. What is the approximate surface area (to the nearest hundredth) of the pyramid.
(HINT: Is the base on the surface?)
[tex] \huge \frak \red{solution:-}[/tex]
Square with edge length = 756 feet
Square= 1/2 × 297.45 × 481
= 286,146.9ft
= 1,037,709,9ft. base with edge length =756 feet
area of square,
= Side² = 756 × 756 = 571,563ft²
⇒ area of base = 1/2 = 756/2 = 378ft
By pythagorean theorem,
H² = P²+B²
(481)² = P²+(378)²
P² = (481)²-(378)²
P² = 231,361-142,884
P² = 88,477
P = √88,477
P = 297.45
Area of triangle =1/2 × b × h
= 1/2x297.45*481
= 148.725×481
= 71,536.725
Now area of 4 triangles = 4×71,536.725
= 286,146.9ft
total surface area of pyramid + square
= 751,563+286,146.
= 1,037,709,9ft.
[tex] \huge \frak \blue{answer:-}[/tex]
[tex] \boxed{1,037,709,9ft}[/tex]
Suppose that a new employee starts working at $7.72 per hour and receives a 5% raise each year. After time t, in years, his hourly wage is given by the equation y=$7.72(1.05)t. Find the amount of time after which he will be earning $10.00 per hour.
After what amount of time will the employee be earning $10.00 per hour?
Answer:
substitute 10 for y (y=10) and solve for t
2.17
Step-by-step explanation:
I think the equation is written wrong because assuming that his wage increases at the end of each year, the beginning of the first year wages should be 7.72, not 0.
recommended correction
y=7.72 + (1.05)t
What is the BALANCE POINT for this set of data? Type the NUMBER ONLY. :)
Answer:
The answer is "36".
Step-by-step explanation:
Please find the complete question in the attached file.
Cynthia was asked to subtract 0.223 from 0.54. Which of the following is the best estimate that Cynthia can make to check her answer?
A. 0.4 − 0.2
B. 0.5 − 0.2
C. 0.5 − 0.1
D. 0.6 − 0.2
Answer:
b
Step-by-step explanation:
0.223 rounds to 0.2 and 0.54 rounds to 0.5 so 0.5-0.2
Solve for n
2n +4 = 3.4
Answer:
n= -0.3
Step-by-step explanation:
Find the inverse: y = - 1/2 x + 4.
Find the missing side length.
PLEASE NO LINKS- I WILL REPORT YOU.
I Need help-
Thank you
Consider the conversion of the speed 156 feet per second to kilometers per hour. Which TWO statements are correct? A) 156 ft/s = 11,232 in/min B) 156 ft/s = 112,320 in/min Eliminate C) 156 ft 1s x 1min 60s x 12in 1ft D) 156 ft 1s x 60s 1min x 1ft 12in E) 156ft 1s x 60s 1min x 12in 1ft
I NEED THE ANSWER ASAP
Answer:
If your doing it on usa tp and have a through e is b and e
Step-by-step explanation:
The two (2) statements that are correct about this conversion are:
B) 156 ft/s = 112,320 in/min
E) 156ft 1s x 60s 1min x 12in 1 ft.
Given the following data:
Speed = 156 feet per seconds.To convert the value of speed in feet per seconds to kilometers per hour:
What is speed?Speed can be defined as the distance covered by an object per unit time. Also, it is usually measured in meter per seconds (m/s).
Conversion:
1 ft/s = 1.09728 km/hr.
156 ft/s = X km/hr.
Cross-multiplying , we have:
[tex]X=156 \times 1.09728[/tex]
X = 171.1757 km/hr.
Note:
1 feet = 12 inches.
156 feet = [tex]156 \times 12[/tex] = 1872 inches.
Next, we would convert this value to inches per minute:
156 ft/s = [tex]1872 \times 60[/tex] = 112,320 inches per minute.
Therefore, the two (2) statements that are correct about this conversion are:
B) 156 ft/s = 112,320 in/min
E) 156ft 1s x 60s 1min x 12in 1 ft.
Read more on speed here: https://brainly.com/question/10545161
Please answer, no links please.
Answer:
what you need help with? there is no picture or question
Step-by-step explanation:
Answer:
Solution given:
area of semi circle h=½πr²=½×π×5²=39.27in²
area of rectangle EFHI=l×b=6×3=18in²
area of rectangle CDFG=l×b=17×2=34in²
Total area: 39.27+18+34=91.27 square inches
HELP ASAP!! Find the total area of the figure below. Round your answer to the nearest tenth
Answer:
area = 88 mi²
Step-by-step explanation:
all vertical dimensions = 8/2 = 4 mi
area = (4 x 11.9) +(4 x 6.1) + (4 x 4) = 88 mi²
What x and y equal to
Answer:
X = 4, Y = 3.
Explanation:
Since the length of side CK is equal to the length of WM, then you can make the equation 6y-4 = 18. then you just add 4 to each side and divide both sides by six to get 3. Same thing for the other equation. Angle (i think its an angle due to its placement) C is equal to angle M, so you can make the equation 3x + 7 = 19. Subtract seven from both sides then divide by 3 to get 4. Tell me if you have any questions :)
Answer and Step-by-step explanation:
We know the triangles are congruent, so if you were to flip one of the triangles onto the other, the will perfectly match up, allowing us to solve for x and y.
19 = 3x + 7
Subtract 7 from both sides.
12 = 3x
Divide each side by 3.
4 = x
14 = 6y - 4
Add 4 to each side.
18 = 6y
Divide each side by 6.
3 = y
x = 4
y = 3
#teamtrees #PAW (Plant And Water)
what's 5/6 as a decimal ?? plz help
Jackie's mother's sister has a son. How would that son be related to Jackie? He is Jackie's
Answer:
cousin
Step-by-step explanation:
because his moms sister is his aunt and if she had a kid it would be his cousin hope this help
Jackie's aunt son would be related to Jackie as her cousin.
CousinCousin is referred to as the son or daughter of an uncle or aunt. Cousins are people who share a common ancestor that is at least 2 generations away, such as a grandparent or great-grandparent.
Jackie's mother's sister is Jackie's aunt. Therefore Jackie's aunt son would be related to Jackie as her cousin.
Find out more on Cousin at: https://brainly.com/question/12481514
Irina is watching a 3 hour movie on TV. The shaded part of the fraction model below represents the part of each hour that the movie is playing, and the unshaded part represents the time spent on commercials.
Answer:
3 * 5/6 = 15/6 hours
Step-by-step explanation:
From the figure attached :
The bar is divided into 6 equal parts ; with 5 of the sections being shaded and 1 left unshaded
The shaded represent the actual playing time
Unshaded portion = time spent in commercials
Using the model, the actual playing time of the movie excluding commercials :
(Shaded portion / total portion) * movie length
5 / 6 * 3 = (5*3) / 6 = 15/6
Plz help me giving brainliest
Answer:
A. 80
Step-by-step explanation:
Count the first top half and you get 40 and you will know the bottom half is 40
which altogether is 80 or you can count the blocks one by one or count the blocks on the right side count the top blocks by five across.
V= l*w*h
V= 5*4*4
V= 80
Hope this Helps! :)
Have a nice day! :)
A person can pay $11 for a membership to the history museum and then go to the museum
for just $1 per visit. What is the maximum number of visits a member of the history
museum can make for a total cost of $100?
Answer:
89 if you pay 11$ to go to the museum for Justin 1$
Step-by-step explanation:
100 - 11 = 89.