Answer:
Number of year = 11.725 year (Approx.)
Step-by-step explanation:
Given:
Amount invested = $200
Interest rate = 6% (compounded semi annually)
Future value = 2 x Amount invested
Find:
Number of year
Commutation:
Future value = 2 x Amount invested
Future value = 2 x 200
Future value = $400
Number of year (Semi-annual) = 2n
Interest rate (Semi-annual) = 6% / 2 = 3%
So.
A = P[1+r]ⁿ
400 = 200[1+3%]²ⁿ
2 = [1.03]²ⁿ
n = 11.725 year
Number of year = 11.725 year (Approx.)
What is the PERIMETER of this green rectangle? 3 in. 7in
Answer:
20 in
Step-by-step explanation:
Help
Find the experimental probability that 4 of 4
children in a family are boys.
The problem has been simulated by tossing 4
coins (one to represent each child). Let "heads"
represent a boy and "tails" represent a girl. A
sample of 20 coin tosses is shown.
HTHн HTTH TTTT THTT НТНТ
HHTT HHHT THHT HTTH ТОНН
HTTT НТНТ ТОНН ТНТН HTHн
TTHT HTTT НТНТ HHHT HHHH
Experimental Probability = [?]%
Enter
Answer:
5%
Step-by-step explanation:
I didn't see any more than I HHHH
There are 20 total tosses.
1 was successful
P(4 heads)= 1/20
Experimental Probability = 1/20 * 100 = 0.05 * 100 = 5%
If you see more than one HHHH put the number that you count over 20 and multiply by 100.
Answer:
sorry sorry sorry sorry sorry
The distance between P and Q is
Answer:
5
Step-by-step explanation:
[tex] \sqrt{ {(9 - 6)}^{2} + {(6 - 2)}^{2} } = \\ \sqrt{ {3}^{2} + {4}^{2} } = \\ \sqrt{25} = \\ 5[/tex]
Which triangles are similar to △DEF?
Answer:
I believe it should be feg
look at pic 10 pts will mark brainilest
Answer:
B
Step-by-step explanation:
–5x+4
constant
coefficient:
variable:
Answer:
constant: 4
coefficient:-5
variable:x
Step-by-step explanation:
You can easily search up the definition of each word and figure it out just saying. It's fine if u wanna do this-
1)
Volume=
Help hhvddhhdbdbdhdjdjddbbdbdbdbdbdbdbdbdbdbdbdbdbdbdb please
Answer:
there have to be a number
Step-by-step explanation:
A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height of 6m and a diameter of 6m. The container will be made from steel (including its top and bottom). If the steel costs $27 for each square meter, how much will the steel cost in total? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest cent
Answer:
The cost of required steel is [tex]169.56 *27 = 4578.12[/tex] dollars
Step-by-step explanation:
The surface area of cylinder will be equivalent to the area of the steel sheet.
Surface area of cylinder [tex]= 2\pi rh+2\pi r^2[/tex]
Substituting the given values we get
Surface area of cylinder
[tex]= 2*3.14*3*6 + 2*3.14 *3^2\\= 169.56[/tex]square meter
Cost of 1 square meter of steel is $27
Then, the cost of required steel is
[tex]169.56 *27 = 4578.12[/tex] dollars
PLZ help! Find the surface area and volume. Leave your answers in terms of TT.
1. Radius (r) of the sphere = 10 units. (Given)
• Surface area of the sphere = 4πr².
Surface area of the sphere = 4 × π × (10)²
Surface area of the sphere = 4 × π × 10 × 10
Surface area of the sphere = 400π units. (Ans)
And,
• Volume of the sphere = 4/3πr³.
Volume of the sphere = 4/3 × π × (10)³
Volume of the sphere = 4/3 × π × 10 × 10 × 10
Volume of the sphere = 4000π/3
Volume of the sphere = 1333.3π cubic units. [approx] (Ans)
__________________________________
2. Diameter of the sphere = 16 units. (Given)
Radius (r) of the sphere = 16/2 = 8 units.
• Surface area of the sphere = 4πr².
Surface area of the sphere = 4 × π × (8)²
Surface area of the sphere = 4 × π × 8 × 8
Surface area of the sphere = 256π units. (Ans)
And,
• Volume of the sphere = 4/3πr³.
Volume of the sphere = 4/3 × π × (8)³
Volume of the sphere = 4/3 × π × 8 × 8 × 8
Volume of the sphere = 2048π/3
Volume of the sphere = 682.6π cubic units. [approx] (Ans)
__________________________________
3. Radius (r) of the sphere = 5 units. (Given)
• Surface area of the sphere = 4πr².
Surface area of the sphere = 4 × π × (5)²
Surface area of the sphere = 4 × π × 5 × 5
Surface area of the sphere = 100π units. (Ans)
And,
• Volume of the sphere = 4/3πr³.
Volume of the sphere = 4/3 × π × (5)³
Volume of the sphere = 4/3 × π × 5 × 5 × 5
Volume of the sphere = 500π/3
Volume of the sphere = 166.6π cubic units. [approx] (Ans)
__________________________________
4. Diameter of the sphere = 18 units. (Given)
Radius (r) of the sphere = 18/2 = 9 units.
• Surface area of the sphere = 4πr².
Surface area of the sphere = 4 × π × (9)²
Surface area of the sphere = 4 × π × 9 × 9
Surface area of the sphere = 324π units. (Ans)
And,
• Volume of the sphere = 4/3πr³.
Volume of the sphere = 4/3 × π × (9)³
Volume of the sphere = 4/3 × π × 9 × 9 × 9
Volume of the sphere = 2916π/3
Volume of the sphere = 972π cubic units. (Ans)
__________________________________
Simple questions!!
I dont need a link!
The first questions are the same as the secong so I need help
Answer:
First Circle
Radius = 6
Diameter = 12
Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 6 = 37.68
2nd Circle
Radius = 3
Diameter = 6
Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 3 = 18.84
Hope This Helps!
In a class of 28 students, 10 are female and 15 have an A in the class. There are 4
students who are female and have an A in the class. What is the probability that a
student chosen randomly from the class is a female who has an A?
Answer: 10 out of 28 chancd
Step-by-step explanation:
Answer:
4/28
Step-by-step explanation:
trust me
Find a such that the points A(1, 3), B(7, 8), and C(a, a) are collinear.
Answer:
a = 13
Step-by-step explanation:
a = 13
It’s only one question plz help (DON’T GUESS NO LINKS) please I will do anything there is a part two I’m struggling and this is the last assignment that will bring my grade up!!
Answer:
For question 1 it's B
For question 2 it's C
Step-by-step explanation:
For question 1, you have to apply the "Triangle Inequality Theorem"
A+B > C
B+C > A
A+C > B
Let's say that A=22, B=17, C= 14
22+17 > 14 True
17+14 > 22 True
22+14 > 17 True
Therefore, the answer is B
For question 2, you apply the rule of the sum of the triangles which is 180°
70+70+? = 180
140+? = 180
? = 40
Therefore, it's C
In a class, 4/5 of the students have mathematical instruments. 1/4 of these students have lost their protractors. What fraction of students in the class has protractors?
Answer:
[tex]\frac{11}{20}[/tex]
Step-by-step explanation:
[tex]\frac{4}{5} - \frac{1}{4}[/tex] Subtract the students who don't have protractors from the students who have mathematical instruments.
[tex]\frac{11}{20}[/tex]
9514 1404 393
Answer:
3/5
Step-by-step explanation:
We assume that every student with mathematical instruments who hasn't lost their protractor will have a protractor.
If 1/4 of the students with instruments lost their protractor, then the remaining 3/4 of students with instruments still have their protractors. The fraction of the class with protractors is ...
(3/4)(4/5) = 3/5
3/5 of the students in the class have protractors.
Anyone know this......
The general equation is given as,
Un+1 = (Un)^3+2
here, n = number of the sequential entries like 0,1,2,3... so on.
so we get here as,
Uo = -3 , so we find U1 and U2
U1 = n+1 = 0+1
so,
===> U1 = (-3)^3 +2
===> U1 = -27 + 2 ==> U1 = -25
now, U2
U2 = n+1 = 1+1
so,
U2 = (-25)^3 + 2
U2 = -15625 + 2 ===> U2 = -15623
hence,
U1 = -25 and U2 = -15623
Rent-a-hunk o’ junk charges 29.95 per day
Answer:
.
Step-by-step explanation:
Levi had 5 feet of wrapping paper. He then used 1 ¾ feet to wrap a box. How much wrapping paper does Levi have left?
HELP!!
Salina's age is one-quarter the age of her aunt. If a represents her aunt's age, which expression represents Salina's
age?
4a
a-4
a+4
A over 4
Answer:
D. A over 4
Step-by-step explanation:
One quarter is equal to [tex]\frac{1}{4}[/tex]. If her aunt is age 'a', than Salina's age is a/4
Hope this helps.
Bill washes his mom's car once every 2 weeks and gets paid $20.00 each time. How much does he earn in 22 weeks?
$264.00
$240.00
$176.00
$220.00
Next
Reset
Answer:
Bill earns $220.00 in 22 weeks.
Step-by-step explanation:
If he is paid 20 dollars every 2 weeks for a car wash, we need to find out how many he gets for 22 weeks.
20 dollars = 2 weeks, to find 22, multiply both of the values by 11 to get to 22.
11(2 weeks = 20 dollars)
22 weeks = 220.
The amount of money earned in 22 weeks is $220.
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The amount for each car wash = $20
Number of car wash in two weeks = 1
Now,
Number of car washes in 22 weeks.
= 22 / 2
= 11
Now,
The amount earned in 11 car washes.
= 11 x 20
= $220
Thus,
Amount earned in 22 weeks is $220.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
$500 is invested at 4.3% annual interest for 18 months.
a. Simple Interest b. Compound Interest
Answer:
a. $532.25 b. $1247.40
Step-by-step explanation:
a. A=P(1+rt)
500(1+0.043*1.5)
b.A=P(1+r/n)^nt
500(1+0.043/1.5)^18*1.5
(not 100% sure on compound interest though, sorry )
can some help me with the question below I don't know the answer
Answer:
y=4
Step-by-step explanation:
in a 45-45-90 triangle sides a and b are equal and the hypotenuse is [tex]a\sqrt{2}[/tex]
so in this case y is a leg, so it is 4
in case there is a part two where they ask what x is, it would be [tex]4\sqrt{2}[/tex]
Find x in each triangle.
Answer:
9
Step-by-step explanation:
9 squared plus 40 squared= 41 squared
What does A(2,5) become after rotated 360 degrees?
A) (-2,-5)
B) (5,-2)
C) (-5,2)
D) (2,5)
Answer:
D
Step-by-step explanation:
Its D because when you rotate 360 degrees you end up back where you were
Pls help me with this
Answer:
3.7 pi
Step-by-step explanation:
2 pi r( n/360)
22 pi(60/360)
3.7 pi= 11.6
0.22 divided by 11 If you answer this you will be the BRAINLIEST
Answer:
0.02
Step-by-step explanation:
i dont know if u want explanation
Which of the following is most likely the next step in the series?
Answer:
Its D
Step-by-step explanation:
Two dice are tossed. Find the probability of getting the sum of the dice equal to 1.
Here's the Answer,
the given outcome is an impossible event, because the sum of numbers can't be less than 2 hence, sum equal to 1 isn't possible.
And we know, the probablity of an impossible event is 0.
Spencer is riding his bicycle 2 7/10 miles to the park. He rides 1 1/4 miles and stops to take a drink. How much farther does Spencer have to ride to the park? Show your work.
Simplify the following expression. 3^2/5 x 3^(-7/5) A. 1/243 B. -14/25 C. 1/3 D. -3
Answer:
C
Step-by-step explanation:
3^2/5 x 3^-7/5
We know that a^b* a^c = a^(b+c)
3^(2/5 -7/5)
3^ (-5/5) = 3^ -1
We know that a^-b = 1/ a^b
3^-1 = 1 / 3
When a water-cooled nuclear power plant is in operation, oxygen in the water is transmuted to nitrogen-17. After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.
Required:
Write a differential equation that expresses the rate of change in the radiation level in terms of the radiation level.
Answer:
The differential equation is [tex]\frac{dR}{dt} = -kR[/tex]
Step-by-step explanation:
Differential equation for the rate of change in radiation level:
Radiation level is R.
Rate of change indicates that the radiation level R varies in function of time t, which mathematically means that we have:
[tex]\frac{dR}{dt}[/tex]
After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.
Rate of change is k. Decreases means that k is negative. Proportional to the radiation level of R means that -k multiplies R. So the differential equation is:
[tex]\frac{dR}{dt} = -kR[/tex]