Answer:
5252.53
Step-by-step explanation:
Nathaniel would have in his account after 11 years an amount of $3076 and 99 cents.
What is compound interest?
Compound interest is the interest on a loan or deposit added to the original principal deposited or drawn and the accumulated interest from all the former periods.
What is the formula for finding the amount including compound interest?[tex]A=P(1+r)^{t}[/tex]
Where A is the total amount, P is the principal, r is the interest rate and t is the period.
P = $2900
r = 5.4% = 0.054
t = 11
We have to substitute this in the equation.[tex]A =2900(1+0.054)^{2}\\= 2900(1.0054)^{11}\\=2900(1.061)\\=3076.99[/tex]
Therefore, Nathaniel would have $3076 and 99 cents in his account after 11 years.
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Which point satisfies the system of equations y=3x-2 and y=-2x+3?
Answer:
First line has y intercept -2 ( the blue line ) Second line has y intercept 3 ( the red line )The point where these two lines cross is "D"I need to solve the equation to get x, can someone please help:(
If a 30-inch candle constantly burns 5 inches every minute, then at the end of what minute will the entire candle disappear?
Answer:
Step-by-step explanation:
4 1/3 inches by 5 1/3 inches. Find the area of a rectangular
Answer:
23 1/9 sq. inches
Step-by-step explanation:
Start by making 4 1/3 into 13/3 and 5 1/3 into 16/3. You can find area by multiplying one side by another, so we multiply 13/3 and 16/3. We can multiply the numerators (Top) of the fractions and put them over the denominators (Bottom) of the fractions multiplied for our result. 13 * 16 is 208 and 3 * 3 is equal to 9. The simplified form is 23 1/9.
Please solve these system of equations using elimination. Random answers or links will be reported.
1. 6x+2y=40
8x+3y=47
2. 6x+5y=34
6x+6y=27
3.8x+2y=64
6x+3y=34
4.5x+5y=26
8x+3y=36
5. 6x+3y=36
4x+5y=46
6. 2x+9y=41
8x+4y=36
Answer:
1. x = 13 , y = − 19
2.x=23/2,y=-7
3.x=31/3,y=-28/3
4.x=102/25,y=28/25
5.x=7/3,y=22/3
6.x=5/2,y=4
Step-by-step explanation:
I hope this helped!
Answer:
1. x = 13 , y = − 19
2.x=23/2,y=-7
3.x=31/3,y=-28/3
4.x=102/25,y=28/25
5.x=7/3,y=22/3
6.x=5/2,y=4
Step-by-step explanation:
I hope this helps!
No clue on how to do this
Answer:
parallelogram
Step-by-step explanation:
That's the answer....
Coach Abernathy has 12 boys in his class of 30 kids which of the following classes has a class that has the same proportion of boys to girls
Answer:
Step-by-step explanation:
9. Solve for x in the parallelogram below.
D
E
16x+2
50
с
F
Oo
10
O
3
05
Answer:
3
Step-by-step explanation:
50=16x+2
50-2=16x+2-2
48=16x
48/16=16x/16
3=x
A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height 6 m of and a radius of 5 m. The container will be made from steel (including its top and bottom). Suppose the total cost of steel will be $12,434.40. How much will the steel cost per square meter? Use for 3.14 for II, and do not round your answer.
Answer:
54
Step-by-step explanation:
Answer:
For oil container in the shape of a cylinder
radius (r) = 6 m
height (h) = 7 m
TSA of Cylinder
= 2πr ( r + h)
= 2 * 3.14 * 6 ( 6 + 7)
= 2 * 3.14 * 6 (13)
= 2 * 3.14 * 6 * 13
= 489.84 square meter
Now,
the total cost of the steel will be $18,613.92.
= 18613.92/489.84
= $38
Thus, The TSA of a cylinder is 489.84 square meter and $38 will the steel cost per square meter.
Distance and midpoint formulas
Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuseAnswer:
Step-by-step explanation:
Grade For This Exam Selles
U 3 4 5 6
7
Grade For This Paper
3 4 5
9
6
7
8
9
Volume of a sphere = ter where r is the radius
A container is a hemisphere of radius 30 cm
a) Find the volume of the container.
14137.16694
cm3
(1)
Sand fills the container at a rate of 4500 cm3 per minute.
(2)
b) How long, to the nearest minute, will it take to fill the container?
12x30=15
12x 4/3tr2
12x4/3xTTX152
=113 -60 = 1.88mintues
Total marks: 3
Answer/Step-by-step explanation:
a. Volume of hemisphere = ½(⁴/3πr³)
r = 30 cm
Volume = ½(⁴/3 × π × 30³)
Volume = ⅔ × π × 27,000 = 56,548.6677 ≈ 56,549 cm³
b. 4,500 cm³ = 1 min
56,549 cm³ = (56,549 × 1)/4,500
= 12.5664444 ≈ 12.6 mins
A cone has a radius of 10 meters and a height of 5 meters. What is the volume of the cone to the nearest cubic meter? Use 3.14 for
Answer:
523.3
Step-by-step explanation:
The volume of a cone is 1/3 hB where h is the height and B is the area of the base.
Step 1: Find the area of the base (B). The base of a cone is a circle so use the formula pi*r^2. Plug in numbers. 3.14*10^2. 3.14*100=314
Step 2: Plug into the formula. 1/3(5*314) --> 1/3(1570)=523.3
Chandler can mow 2 lawns per hour. Use an equation to determine the number of hours it will take him to mow 7 lawns.
14 hours
3 1/2 hours
2 1/2 hours
7 1/2 hours
Answer:
3 1/2
Step-by-step explanation:
2x2x2 is 6 and 1/2 of 2 is 1 which means 6+1 is 7 so it's 3 and half
Answer:
3 1/2
Step-by-step explanation:
I didn't copy i had to use my finger five times
Jack had $25. He went to the grocery store and bought a few things. When he paid, he got $8 change.
How much money did he spend
Answer:
17$
Step-by-step explanation:
25-8=17
PLEASE HELP
A bookstore buys 10 books for $67 each and sells them for $88 each. Estimate the bookstore's profit from selling the 10 books by rounding each fraction of a dollar to the nearest dollar.
Answer:
880 8 4/5
Step-by-step explanation:
Two Step Equation's and Inequalities -8=2-4y
A convex polyhedron has faces that consist of 30 squares, 20 triangles, and 12 pentagons. The polyhedron has 120 edges. How many vertices does it have?
Euler’s formula: V + F = E + 2
a:60
b:92
c:122
d:180
THE ANSWER IS A:60 ON EDGE 2021
Answer:
THE ANSWER IS D 180
Step-by-step explanation:
THE PERSON WHO MADE THIS QUESTION IS WRONG, PLS TRUST
Find the area of the composite figure above.
Answer:
Rectangle=216 since the formula a rectangle is BxH and the Triangle is 81 since the formula of a triangle is BxH/2
Step-by-step explanation:
so when you add them you will get 297 yd^2
Write 0.026 as a fraction
Answer: 13/500
Step-by-step explanation: Its pretty easy.
Help please due in 40 mins !!!!
Answer:
In this option B is correct
The scatterplot above shows the number of hits and the
number of times at bat by each of 20 players on a major
league baseball team. The line of best fit for the data is
also shown.
For the player with 450 times at bat, the actual
number of hits the player had is approximately how
many fewer than the number of hits predicted by the
line of best fit?
A) 10
B) 20
C) 30
D) 10
The actual number of hits the player had is approximately 10 fewer than the number of hits predicted by the line of best fit
How to interpret the scatter plot?From the complete question, we have the following highlight:
The blue line is the predicted number of hitsThe red line is the actual number of hits.From the graph, we have the following readings at x = 450
Actual readings y = 123 Predicted readings y = 113Calculate the difference
d = 123 - 113
Evaluate the difference
d = 10
Hence, the actual number of hits the player had is approximately 10 fewer than the number of hits predicted by the line of best fit
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Toni bought 5 t-shirts for $35 . Each shirts cost the same amount
Answer:
35/5 =7 dollars
PLEASE HELP!!!! ASAP!!!
The coordinates of the vertices of a quadrilateral are P (1,2), R(1,4), S(3,4),
Quadrilateral PRST is reflected across the y-axis to create quadrilateral P’R’S’T’. Which rule describes the transformation?
Answer:
3/4
Step-by-step explanation:
trust
What ratio is an equal ratio of 1:3?
Answer:
Any ratio that can be simplified to 1:3
Step-by-step explanation:
Any ratio would work for this answer, but the ratio would have to simplify back to 1 to 3.
Here are some examples you could use:
2:6 = 1:3
3:9 = 1:3
4:12 = 1:3
6:18 = 1:3
7:21 = 1:3
10:30 = 1:3
x^2 + y^2 + 8x - 6y-15=0
Answer:
use ither apps to solve for x or y desmos also is a good app for plotting thjs function0
Can you guys help me please ASAP
Luella has a pond in her yard. She wants to surround it with 330 feet of fencing. Fencing is sold by the yard. How many yards should she buy?
Answer:
110 yards
330/ 3 ,=110
1yard =3 feet
Step-by-step explanation:
if you multiply 3 to 110=330
or 330 divided by 3=110 yards.
What is 25 x 65 / 73?
25x65=1625
1625/73=22.26
The average price of a two-bedroom apartment in the uptown area of a prominent American city during the real estate boom from 1994 to 2004 can be approximated by p(t) = 0.12e0.10t million dollars (0 ≤ t ≤ 10) where t is time in years (t = 0 represents 1994). What was the average price of a two-bedroom apartment in this uptown area in 2002, and how fast was the price increasing? (Round your answers to two significant digits.)
Answer:
Step-by-step explanation:
Average price of a two bedroom apartment can be approximated by the equation,
p(t) = [tex]0.12e^{0.10t}[/tex]
Here, t represents the duration from year 1994.
Duration from year 1994 to year 2004 = 10 years
p(10) = [tex]0.12e^{0.10\times 10}[/tex]
= 0.12e
= 0.3262
≈ 0.33 million
Cost of the apartment in 2004 was 0.33 million.
Let the equation to calculate the rate of increase in the price is,
p(t) = [tex]0.12(1+\frac{r}{100})^t[/tex]
Cost of the apartment after 10 years = 0.33
0.33 = [tex]0.12(1+\frac{r}{100})^{10}[/tex]
[tex]\frac{0.33}{0.12}=(1+\frac{r}{100})^{10}[/tex]
2.75 = [tex](1+\frac{r}{100})^{10}[/tex]
[tex](1+\frac{r}{100})=(2.75)^{0.10}[/tex]
1 + [tex]\frac{r}{100}=1.106[/tex]
[tex]\frac{r}{100}=0.106[/tex]
r = 10.6%
Therefore, price of the apartment is increasing with 10.6%
Find the area of the shaded region. Round to the nearest tenth.
Answer:
Step-by-step explanation:
r = 8.35 ft
area of circle = πr² = 69.7225π ft²
θ = 5π/9 radians
area of unshaded segment = r²(θ-sinθ)/2 ≅ 26.51 ft²
shaded region = 69.7225π - 26.51 ≅ 192.53 ft²
The area shaded region is found to be as 192.97 ft².
What is a circle?A circle is a geometric shape, all of which points are equidistant from a fixed point called as the centre.
The centre of the circle does not lie on it.
The largest line segment that can be drawn inside a circle is its diameter.
For the given circle,
Radius is given as 8.35 ft.
And, the angle subtended by minor arc is 100°.
Then, the angle formed by major arc is 360 - 100 = 260°.
Noiw, the area of shaded region is given as below,
Area of the sector for major arc + Area of triangle
⇒ 260/360 × πr² + 1/2 × r²
Plug π = 3.14 and r = 8.35 to obtain,
⇒ 13/18 × 3.14 × 8.35² + 1/2 × 8.35²
⇒ 192.97 ft²
Hence, the area of the shaded region is obtained as 192.97 ft².
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