Answer:
21yearsStep-by-step explanation:
Amount invested by Nelson = $1,000,000
Interest rate per month = 4.8%
Simple Interest = Principal * Rate * Time/100
simple Interest = $1,000,000 * 4.8 *(1/12)/100
simple Interest = $1,000,000 * 4.8/1200
simple interest = $4,000/ month
Simple interest for one year = $4,000*12 = $48,000
In order to determine the number of years it will take Nelson to earn back his initial investment, we will divide its initial investment by the interest earned on the investment yearly as shown;
amount of years = $1,000,000/ $48,000
Amount of years = 20.8years ≈ 21years
10.7 years
Step-by-step explanation:
hope this helps
Natalie just invited 100 100100 guests to a party in her small house. The base of her house is a rectangle with dimensions 8 m 8 m8, start text, space, m, end text by 16 m 16 m16, start text, space, m, end text. It's a good thing she didn't invite the fire marshal to the party!
Answer:
6 units by 12 unitsStep-by-step explanation:
Since the measurements in meters are multiples of 4, it makes this problem a little easier.
First you divide 8 by 4 to get 2
Then divide 16 by 4 to get 4
After that you're going to multiply 3 units by both quotients separately.
So you multiply 3 by 2 to get 6
Then you multiply 3 by 4 to get 12
So then you end up with a 6 unit by 12 unit drawing.
therefore, the answer is
6 units by 12 units) Vera sells her trading card collection in an online marketplace for $160. The website charges
her a 13% fee for the sale.
Answer:
139.20
Step-by-step explanation:
=160 - 0.13(160)
=160 - 20.80
=139.20
Answer:139.20
Step-by-step explanation:
Factor 2x^2-7x-15.
Factored form=( + )( - )
Answer:
work is pictured and shown
simplify and solve this equation for q 3q+5+2q-5+65
Answer:
5 (q + 13)
Step-by-step explanation:
collect like terms
5q + 5 - 5 + 65
5q + 65
5 (q + 13)
Answer:
5q+ 65
Step-by-step explanation:
3q+5+2q-5+65
We can only simplify since there is no equals sign
Combine like terms
5q+ 65+5-5
5q +65
To convert 120 ounces to pounds which of
Answer:
7.5 pounds
Step-by-step explanation:
you divide 120 by 16 to get how many pounds is needed
Answer:
7.5 pounds because...
Step-by-step explanation: ... it is 7.5 pounds if you divide 120 divided by 16 you would get 7.5 pounds.
Evaluate(4):g(x) = 8x2 + 9x - 7
Answer:
Answer:
157
let g(4) = x
Carol walked 8 miles in 3 hours .John walked 15 miles in 6 hours. Are these rates in proportion
Answer:
They are not in proportion.
Step-by-step explanation:
Make two ratios:
8 : 3
15 : 6 = 5 : 2
They are not in proportion.
help would be appreciated
Answer:
The answer is A.
Step-by-step explanation:
identify the common external tangent
Answer:
A line that is tangent to each of the two coplanar circles
Step-by-step explanation:
based only on the given information, it is guaranteed that...
Answer:
I think it's TRUE
Since they're congruent triangles according to the given.
y+3 7/15 =12 14/15 − 8/15
Solve the equation.
Answer:
y=9 7/15
Step-by-step explanation:
y + 3 7/15 = 12 14/15 - 8/15
y + 3 7/15 = 12 14/15
y + 3 7/15 = 12 14/15
- 3 7/15 - 3 7/15
y = 9 7/15
ABCD is not drawn to scale based on the diagonal measures given ABCD___ a parallelogram
Answer:
c is the answer
Step-by-step explanation
HELP ASAP PLS !!!
What is the area of this triangle?
Enter your answer in the box.
Answer:
i believe its 6 units
Step-by-step explanation:
this is because you can slip the triangle into two different triangles and then find both their areas and combine them
On Wednesday a local hamburgers shop sold a combined total of 568 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold.How many hamburgers were sold on Wednesday
Answer:
i think its 142
Use the system of equations to answer the question.
2x + 3y = 8
x-y=5
Answer:
x = 23/5
y = -2/5
Step-by-step explanation:
We are given two equations
2x + 3y = 8 eq. 1
x - y = 5 eq. 2
From eq. 2
x - y = 5
x = 5 + y eq. 3
Substitute eq. 3 into eq. 1
2x + 3y = 8 eq. 1
2(5 + y) + 3y = 8
Simplify the equation
10 + 2y + 3y = 8
10 + 5y = 8
5y = 8 - 10
5y = -2
y = -2/5
or
y = -0.4
Substitute the value of y into eq. 3 to get the value of x
x = 5 + y eq. 3
x = 5 - 2/5
x = 23/5
or
x = 4.6
Therefore, the solution set is
(x, y) = (23/5, -2/5)
This is the point of intersection where these two equations meet.
formula of area of a semicircle
Answer:
[tex]\frac{\pi r^2 }{2}[/tex]
Step-by-step explanation:
pi r ^2 is the formula for a circle, a semicircle is half of that.
plz help me awnser them right i need it know if your just here for points il report you help me
Circle B is shown. Line segments A B and C B are radii. The length of A B is 6. Sector A B C is shaded.
The measure of central angle ABC is StartFraction pi Over 2 EndFraction radians.
What is the area of the shaded sector?
6Pi units squared
9Pi units squared
18Pi units squared
36Pi units squared
Answer:
B
Step-by-step explanation:
The area of the shaded sector is 54 pi units squared
How to calculate the area of a sector.The formula for calculating the area of a sector is expressed as:
[tex]A = \frac{\theta}{360} \times \pi r^2[/tex]
Given the following parameters
[tex]\theta = \pi/2\\r = 6units\\[/tex]
Substitute the given parameters into the formula
[tex]A=\frac{90}{360} \times \pi (6)^3 \\A = \frac{1}{4} \times 216\pi\\A = 54 \pi units^2[/tex]
Hene the area of the shaded sector is 54 pi units squared
Learn more on area of sector here: https://brainly.com/question/22972014
Find the sum of the measures of the interior angles of a hexagon. A. 900. B.360. C. 720. D.1080
Answer:
C 720`
Step-by-step explanation:
The sum of the interior angles of the hexagon is S = 720°
What is the sum of the interior angles of a polygon?The sum of the interior angles of a polygon is given by the formula
Sum of Interior angles of a polygon with n sides is
nθ = 180 ( n - 2 )
where n is the number of sides
θ = angle in degrees
Given data ,
Let the sum of the interior angles of a hexagon be S
Let the polygon be represented as a hexagon
Now , the number of sides of a hexagon is n = 6
So , sum of Interior angles of a polygon with n sides is
nθ = 180 ( n - 2 )
On simplifying , we get
nθ = S = 180 ( 6 - 2 )
S = 180 x 4
S = 720°
Therefore , the value of S is 720°
Hence , the sum of the interior angles of hexagon is 720°
To learn more about sum of interior angles of a polygon click :
https://brainly.com/question/14611583
#SPJ7
help me write an expression to find perimeter.
Answer:
Perimeter, [tex]P=\dfrac{2}{5}(5x+14)[/tex]
Step-by-step explanation:
We have, a hand woven rectangular rug measures x ft long and [tex]2\dfrac{4}{5}\ ft[/tex] wide. For a rectangular shaped object, perimeter is equal to the sum of all sides. If l is length and b is width, then
Perimeter, [tex]P=2(l+b)[/tex]
We have, l = x ft and b = [tex]2\dfrac{4}{5}\ ft=\dfrac{14}{5}\ ft[/tex]
So,
[tex]P=2(x+\dfrac{14}{5})[/tex]
or
[tex]P=\dfrac{2}{5}(5x+14)[/tex]
Suppose that a storm front is traveling at 33 mph. When the storm is 13 miles away a storm chasing van starts pursuing an average speed of 54 mph. How long does it take for the van to catch up with the storm? How far have they driven? (Hint: we can let our two variables be x= distance and t= time. Additionally, [speed x time= distance]. Won’t the van catch up when the distances are equal?
Answer:
= 15mins 18 seconds. The storm chaser van drove 13.53 miles to catch up with the storm which obviously has moved less than 0.53 miles as it was same time but multiplied below by 0.5 per minute as speed per minute is 0.5 for the storm. See right at the end the storm only moved 1.11 mile.
Step-by-step explanation:
We count in 1 minutes
54 mph = 54/60 = 0.9 miles per minute
Storm = 13 m + 1 minute is;
33/60 = 0.55 miles = 11/20
M = (16 7/10 * 9/10x) = ( 3 7/10 * 11/20y ) +13
M = 15 3/10x = ( 407/200y +13) (407/200 = y starting value +13)
M = 15 3/10x = 15 3/10 = 16 7/10x (the same as 16 7/10* 9/10 for x)
M = 15 3/10 x = 15 3/10 = 15.03
M = 16 7/10x / 9/10y (is also the same as 186/1000)
X = 185⁄1000 = 37⁄200xy x 16 7/10 (as starting value)
7/10 of 60 = 42 minutes
3/10 of 60 = 18 minutes
x = 15 mins 18 seconds.
y = 15 mins 18 seconds.
as 0.005 left over for y 3/10 was actually 15.035 gives us 0.005 of 60 can not be rounded up to a second.
However as we started with 16mins and 7/10 we can see that we multiplied by 9/10 so when we divide 16 7/10 by 9/10 we find 185⁄1000 = 37⁄200
To equal the mileage of the storm of where we multiplied 3 7/10 by 17/10
= 37/200 just the same
We added 13 miles of the storm to find each was multiplied by the larger x sum 9/10 and y was multiplied
As 35/200 + 13 =
13 37/200
37/200 of 60 = 11.1 = 11.06 minutes which is
= 15.04 % more for y as 13 + 2 mins + 06 seconds = 15.06 = 15.035
The percentage looks the same but valued different as 2 of 13 as a percentage is multiplied as 13 x 15.04% to equal the 2 of 15 miles as 15.04%.
To find how many miles we go back and see 15.035 = 15 7/200
Then we multiply this by 0.9 miles for the storm van
= 15 7/200 x 0.9 = 13.5315 = 13.53 miles
For the storm itself we can prove 0.53 increase of mileage
417/200 x 0.53 = 1.10505 = 1.11 miles. rounded up
Help me with this IXL please
Answer:
The mode is 80
Step-by-step explanation:
The number which appears most often in a set of numbers
Answer:
80
Step-by-step explanation:
Out of the 7 bars, three of them hit 80, two hit 50, and the other two hit 60.
50, 50, 60, 60, 80, 80, 80
80 appears most in the data set, so it is the mode.
A frame is marked down by 22 percent from an original price of $14.50. What is the new price? $3.19 $11.31 $13.72 $14.28 PLS HELP FAST IM BEING TIMED
Answer:hi the answer is 11.31
Step-by-step explanation:
all you have to do is find what 22% of 14.50 and of course the answer is 11.31
If 3 drinks cost $9.00 , how much will 5 drinks cost
Answer:
5 drinks will cost $15
Step-by-step explanation:
3 drinks cost $9, makes them 3 dollars each. So 5*3=15
Find the surface area of the cylinder. Round your answer to the nearest tenth. Diameter: 6 Height: 12
Answer:
282.7
Step-by-step explanation:
Answer:
Step-by-step explanation:
diameter=6
r=6/2=3
h=12
surface area=2πrh+2πr²=2πr(h+r)
=2π×3(12+3)
=90π
≈282.7
45 is what percent of 200?
Answer:
22.5
Step-by-step explanation:
Answer:
22.5%
Step-by-step explanation:
I did it the easy way, all I did was divide 45 by 2 to get 22.5 which would be 22.5/100 and also 22.5%
A rectangular swimming pool is 19 m wide by 35 m long. what is the length of the diagonal of the pool round to the nearest 10th
Answer:
39.8
Step-by-step explanation:
for this question, use the Pythagorean theorem which is:
a^2 + b^2 = c^3
a = 35
b = 19
c = the answer
lets solve it:
35^2 +19^2 = c^2
solve the exponents first
1225 + 361 = c^2
1586 = c^2
square root both to find c
(the answer is rounded)
39.824 = c
rounded to nearest 10th:
c = 39.8
Answer:
the answer is 39.8m
Step-by-step explanation:
You divide the pool with the diagonal and you obtain a right angled triangle with its base as 35m and its height as 19m. then using pythagoras theorem, you find the length of the hypotenuse and this is the length of the diagonal of the pool.
2(6x+9−3x)=5x+21 PLEASE HELP !!
Answer:
x=3
Step-by-step explanation:
Simplifying
2(6x + 9 + -3x) = 5x + 21
Reorder the terms:
2(9 + 6x + -3x) = 5x + 21
Combine like terms: 6x + -3x = 3x
2(9 + 3x) = 5x + 21
(9 * 2 + 3x * 2) = 5x + 21
(18 + 6x) = 5x + 21
Reorder the terms:
18 + 6x = 21 + 5x
Solving
18 + 6x = 21 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
18 + 6x + -5x = 21 + 5x + -5x
Combine like terms: 6x + -5x = 1x
18 + 1x = 21 + 5x + -5x
Combine like terms: 5x + -5x = 0
18 + 1x = 21 + 0
18 + 1x = 21
Add '-18' to each side of the equation.
18 + -18 + 1x = 21 + -18
Combine like terms: 18 + -18 = 0
0 + 1x = 21 + -18
1x = 21 + -18
Combine like terms: 21 + -18 = 3
1x = 3
Divide each side by '1'.
x = 3
Answer:
x=3
Step-by-step explanation:
(12x+18-6x)=5x+21
6x+18=5x+21
x+18=21
x=3
√
5
(
3
√
2
+
5
√
5
)
Answer:
Thanks for free pointsThanks for free pointsThanks for free pointsThanks for free pointsThanks for free points
Step-by-step explanation:
vThanks for free pointsThanks for free pointsThanks for free pointsThanks for free pointsThanks for free points
Write an equation of a circle whose center is (-5,4) and whose diameter is 12
Answer:
(x + 5)² + (y - 4)² = 36
Step-by-step explanation:
The equation of a circle in standard form id
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (- 5, 4) and r = 12 ÷ 2 = 6 , thus
(x - (- 5))² + (y - 4)² = 6², that is
(x + 5)² + (y - 4)² = 36
