Answer: 19 years
Step-by-step explanation:
Given
Amount invested [tex]\$400[/tex]
Rate of interest [tex]R=6\%[/tex]
after 1-year amount becomes
[tex]A=400\left (1+6\%\right)\\A=400\left (1+0.06\right)\\A=400\times 1.06\\A=\$424[/tex]
After n years it is
[tex]A=400\left (1.06\right)^n[/tex]
Sum accumulated is [tex]\$1200[/tex]
[tex]\Rightarrow 1200=400\left(1.06\right)^n\\\Rightarrow 3=\left(1.06\right)^n\\\text{Taking log both sides}\\\Rightarrow n=\dfrac{\ln 3}{\ln 1.06}\\\\\Rightarrow n=18.85\approx 19\ \text{years}[/tex]
50 persons 2 glass. Each glass 150 milliliter. How many liters
Answer:
1.5 liters
Step-by-step explanation:
300 mL per person
50 people
300 x 50 = 1500
1500 mL = 1.5 L
HELP PLZ
DUE
RNNN
WILL
GIVE
BRAINLIS
Answer:
54 in.
remember that to get the perimeter you just have to add all the sides
Use 1/2ab sin C formula pls
Step-by-step explanation:
[tex]area = \frac{1}{2} a.b \sin(C) \\ from \:cosine \: rule \\ {c}^{2} = {a}^{2} + {b}^{2} - 2a.b \cos(C) \\ 36 = 144 + 81 - (2 \times 12 \times 9) \cos(C) \\ 189 = 216 \cos(C) \\ \cos(C) = 0.875 \\ C = \cos {}^{ - 1} (0.875) \\ C = 28.96 \degree \\ area = \frac{1}{2} \times 144 \times 9 \times \sin(28.96 \degree) \\ area = 313.8 \: sq \: units[/tex]
1. The radius of the circular base of a cylinder tank is 0.7 m and its height is 5 m. What is
its surface area??
A. 20.5572 sqm
B. 22.5072 sqm
C. 25.0572 sqm
D. 27.0552
2. An ice cream cone has a radius of 7 cm and a slant height of 10 cm. What is its surface
area?
A. 337.66 sq cm
B.373.66 sq cm
C.376.36 sq cm
D. 376.66 sq cm
help, it's just 1-3 :( with solution please :(
3. A cubical wooden box has a surface area of 600 square cm. What is the measurement
of each
edge?
B. 6 cm
C. 10 cm
A. 5 cm
D. 100 cm
Answer:
C)
B)
C)
Step-by-step explanation:
Question-1:recall the surface area formula of cylinder
[tex] \displaystyle A _{S} = 2\pi r(h + r)[/tex]
given that,h=5 and r=0.7
substitute:
[tex] \displaystyle A _{S} = 2\pi (0.7)(5 + 0.7)[/tex]
simplify parentheses:
[tex] \displaystyle A _{S} = 2\pi (0.7)(5 .7)[/tex]
simplify multiplication:
[tex] \displaystyle A _{S} =25.0572 sqm[/tex]
hence, our answer is C
Question-2:remember the surface area formula of cone
[tex] \displaystyle A _{S} = \pi r(r + s)[/tex]
given that,r=7 and s=10
substitute:
[tex] \displaystyle A _{S} = \pi (7)(7+ 10)[/tex]
simplify parentheses:
[tex] \displaystyle A _{S} = \pi (7)(17)[/tex]
simplify multiplication:
[tex] \displaystyle A _{S} =373.66sqcm[/tex]
hence, our answer is B
Question-3:now for the question-3 we need a little bit understanding
remember the surface area formula of cube
[tex] \displaystyle A _{S} =6 {a}^{2} [/tex]
we are given that,[tex]A_S=600[/tex] Thus
substitute:
[tex] \displaystyle 6 {a}^{2} = 600[/tex]
divide both sides by 6:
[tex] \displaystyle {a}^{2} = 100[/tex]
square root both sides:
[tex] \displaystyle {a}^{} = 10[/tex]
hence, the measurement of each
edge is 10 cm therefore our answer is C)
on a piece of paper graph......
what is the value of y in the following system of equations ? 2x + 3y = 6 2x + y = -2
y = 4
Step-by-step explanation:
2x + 3y = 6. #1
2x + y = -2. #2
Subtract Eq 2 from Eq 1,
3y - y = 6 - (-2)
2y = 8
or
y = 4
Answer:
y = 4
Step-by-step explanation:
2x + 3y = 6
2x + y = -2
Let's set the second equation equal to y. This means that y will be alone on one side of the equal sign.
2x + y = -2
Subtract 2x from both sides.
y = -2x - 2
Now that we have y as an expression, plug it into the first equation.
2x + 3y = 6
2x + 3(-2x - 2) = 6
Distribute the 3 across the parentheses by multiplying.
2x - 6x - 6 = 6
Combine like terms.
-4x = 12
Divide both sides by -4.
x = -3
Now we have solved x.
To solve for y, plug x back into one of the equations.
y = -2x - 2
y = -2(-3) - 2
Multiply.
y = 6 - 2
Subtract.
y = 4
Check your answer by plugging both values back into the original equations.
2x + 3y = 6
2(-3) + 3(4) = 6
Multiply.
-6 + 12 = 6
Add.
6 = 6
Your answer is correct.
Hope this helps!
54 divided by u = 9.
Answer:
6 = u
Step-by-step explanation:
54 / u = 9
We have to isolate "u" all by itself;
54 = 9*u
54 / 9 = u
6 = u
Hope this helps!
Answer:
6
Step-by-step explanation:
We need to find of u value such that , 54 divided by u = 9. Converting it into equation ,
Equation :-
→ 54/u = 9
→ 1/u = 9 × 1/54
→ 1/u = 1/6
→ u = 6
Hence the required answer is 6.Find the surface area of each sphere shown below. Round you
32 yd
Watch "How Wolves Changed Rivers" on YouTebe
***And answer the following question please ASAP ASAP please
1. Why did the "deer" (they are really elk) leave the valleys when the wolves were re-introduced to Yellowstone?
2. When the elk left the valleys, what happened to the vegetation? Give specific examples.
3. Once the vegetation changed, what wildlife came back?
4. How did the wolves change the rivers?
5. How did the elk change the rivers when the wolves were removed from Yellowstone National Park?
You Are Not Allowed To Put Links Or To Tell To Go To Other Websites according To The Rules
HELP ME ASPA!!!!!
Round your answer to the nearest hundredth.
AC=
5¼
a5.41 m
b5.25 m
c5.05 m
d5.04 m
Answer:
d is right broooooooooooooooo
Answer:
d
Step-by-step explanation:
5.4 is the ans ..hope it helps
If one leg of a right triangle is 4/7 and the hypotenuse is 10/6, then the other leg is
please tell me where to graph this!! (include if i open circle or not please) (NO FILE ANSWER!!!)
Answer:
1.Make the circle open
2.put the dot on 5
3. change direction
Step-by-step explanation:
A solid dot on a number line graph indicates that the given number should be included as a possible solution, whereas an open dot indicates that the given number cannot be a solution. For example, if you graph x > 7, you place an open dot at 7.
Have a nice day! :-)
Answer:
closed circle on 3 with line pointing right
Step-by-step explanation:
the number can be greater than or equal to 3 so it means that includes 3 so closed circle on 3 and then it points right towards the bigger numbers because it can be greater than 3
33/35 in simplest form
Answer:
its already in simplest form
Step-by-step explanation:
You have a friend that feels tired so often that they use coffee to try to waken themselves up in the afternoon. They typically drink a venti Starbucks coffee at 4:00 pm in the afternoon. They go to bed around 10:00 pm must wake up at 6:00 am. You’re concerned that drinking the coffee may be affecting their sleep habits and using coffee to solve the problem is only making it worse.
•The amount of caffeine in a venti Starbucks coffee is 415mg
•Every hour, the amount of caffeine in your body decreases by 12%
•People that have 300mg of caffeine at bedtime experience severe sleep disruption
•People that have 50mg of caffeine at bedtime can experience a loss of one hour of sleep
•Recommend sleep time for teenagers is 8-10 hours
Create a report to determine if your friend needs to change their coffee drinking habits.
Answer:
Not sure how to answer that but i am that friend getting a venti strabucks everyday and i go to sleep at 4-6 am and wake up at sometime between 10-1 pm
Step-by-step explanation:
1- The acceleration of a particle is defined by the relation a = 6 ft/s 2. Knowing
that s =-32 ft when t = 0 and v= -6 ft/s when t = 2 s, determine the velocity, the
position, and the total distance traveled when t = 5 s.
help fast
Answer:
The initial velocity of the particle is
v' = -6 - 6.2 = -18 ft/s
at t = 5s, the velocity is v = -18 + 6.5 = 12 ft/s
the position is
[tex]x = - 32 - 18 \times 5 + \frac{1}{2} \times 6 \times 5 {}^{2} = - 47 \: ft[/tex]
the total distance traveled is
[tex]s = | \frac{12 {}^{2} - 18 {}^{2} }{2 \times 6} | = 15 \: ft[/tex]
Gavin wants to buy a bike which costs 1,000 dollars. He raised 250 so far from his shoe shop. How much more does Gavin need to raise in order to buy the bike?
Answer:
the answer would be 750 dollars.
Step-by-step explanation:
If he needs $1,000 in total and already has $250, you can do 1,000 - 250 to get 750. A simpler way to.do that could be to take 1,000 - 200 to get 800, and then subtract another 50.
Find the surface area of the above solid.
A. 52 cm2
B. 43 cm2
C. 54 cm2
D. 58 cm2
Answer:
A.52 cm2 ihope ihelp po hehe
Compare two images shown here. In what ways are
they alike?In what ways are they different?
Step-by-step explanation:
they are the same such that the part labelled x is the same as the part labelled 2
Expand and simplify (x-3)(x+5)
Answer:
x2+2x−15
Step-by-step explanation:
Answer:
x^2 + 2x - 15
Step-by-step explanation:
X × X + 5x - 3x - 3 × 5 =
x^2 + 5x - 3x - 3 × 5 =
X^2 + 2x - 15
also x^2 means x to the 2nd power
you have a set of 10 cards numbered 1 to 10. you choose a card at random. Event A is choosing a number less than 7. Event B is choosing an odd number. Calculate the probability. P(A)
Answer:
6/10 for event A or 3/5 reduced
5/10 for event B or 1/2 reduced Hope that helps!
Please answer for brainlest
they are Vertically Opposite Angles..
A juice manufacturing company designed a carton as shown below. What is the name of the three-dimensional
figure it creates?
Answer: rectangular prism and a pyramid I think
Step-by-step explanation:
What is the missing Angel
Answer:
30
Step-by-step explanation:
Answer:
i belive it is 30 degre angle
Step-by-step explanation:
Choose which categories are ordinal data related to dogs.
species of dogs
size of dogs
fitness level of dogs
type of food
amount of rest of dogs
Answer:
I don't understand this question please write again
which term means 'per hundred' or hundredths?
a. decimal b. Ratio c. Percent d. fraction
The Answerto your question is : C. Percent
Graph y =-7x-1 il do anything
Answer:
here you go!
Can some explain how to do this?
Answer:
Exact Area = 210.25pi - 210Approximate Area = 450.185The units for the area are in square inches or in^2. The approximate value shown above is when using pi = 3.14
=============================================================
Explanation:
Use the pythagorean theorem to find the length of the hypotenuse
a = 20b = 21c = unknowna^2 + b^2 = c^2
20^2 + 21^2 = c^2
400 + 441 = c^2
c^2 = 841
c = sqrt(841)
c = 29
The hypotenuse is 29 inches long. This is the diameter of the circle. Half of that is the radius at r = d/2 = 29/2 = 14.5 inches.
The area of the circle is...
A = pi*r^2
A = pi*(14.5)^2
A = pi*210.25
A = 210.25pi
Which is exact in terms of pi
We'll subtract off the triangular region as this isn't shaded in. The area of the triangle is base*height/2 = 20*21/2 = 420/2 = 210 square inches.
So the shaded region is therefore 210.25pi - 210 square inches
This approximates to 210.25*3.14 - 210 = 450.185 when using the approximation pi = 3.14; use more decimal digits of pi to get a more accurate value.
Will give brainliest answer
Answer:
a
Step-by-step explanation:
PLS HELP!!!
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
6 yd
13 yd
17 yd
Answer:
36
Step-by-step explanation: