Answer:
a) $520
b) $580
c) Interest amount is same each year
Step-by-step explanation:
Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.
To find - a) How much money was in the account after one year?
b) How much money was in the account after 4 years?
c) Was the amount of money earned in interest the same or different each year?
Proof -
Here given that,
Principal amount = $500
rate of interest = 4% = 4/100 = 0.04
Now,
a)
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(1)]
= 500 [ 1 + 0.04] = 520
⇒Amount = $520
b)
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(4)]
= 500 [ 1 + 0.16] = 580
⇒Amount = $580
c)
In 2nd year,
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(2)]
= 500 [ 1 + 0.08] = 540
⇒Amount = $540
Now,
Interest in 1st year = 520 - 500 = 20
Interest in 2nd year = 540 - 520 = 20
So,
The interest amount is same each year
Consider the right triangular prism. What is the volume of the right triangular prism? O 15 ft O 30 ft? O 150 ft" O 300 ft)
Factor the following expression -4n+2w-16
Answer:
−2(2n−w+8)
Step-by-step explanation: hoped I helped
Answer:
Factor
-2 out of -4n + 2w -16. -2 (2n - w + 8)
Step-by-step explanation:
Evaluate the summation from n equals 1 to infinity of the quotient of 3 and 2 raised the quantity n minus 1 power
Answer:
3*∑ (1/2)^n = 6
Step-by-step explanation:
We have the summation from n = 1 to n = ∞, for:
∑ 3/(2)^(n - 1)
We know that the summation between k = 0, and k = N - 1 for:
∑ r^k = (1 - r^N)/(1 - r)
if we have the summation between k = 0 and k = ∞ - 1 = ∞
(here we used that ∞ is really big, then ∞ - 1 = ∞)
In the numerator we will have the term r^∞, if 0 < r < 1, then r^∞ = 0.
Then if we assume that 0 < r < 1 we can write:
∑ r^k = 1/(1 - r)
In our case, we can rewrite our summation as:
3*∑ (1/2)^n
for n = 0 to n = ∞
You can see that i changed the limits for n, this does not really matter because we are summing between a number and infinity, the only thing you need to take care is that now the power is n, instead of (n - 1)
Then we have r = (1/2) which is clearly smaller than 1.
then (1/2)
Then this summation is equal to:
3*∑ (1/2)^n = 3*( 1/(1 - 1/2)) = 3*( 1/( 2/2 - 1/2)) = 3*( 1/(1/2)) = 3*2 = 6
3*∑ (1/2)^n = 6
This is a portion of the graph of a polynomial function. Apparently the function has a double zero -
a. between -2 and 1
b. between 3 and 4
c. between -2 and -1
d. between 1 and 2
y = 3csc 20
What is the period?
Answer:
M=0, b= 3 csc (20)
Step-by-step explanation:
Ashley has three pencils.
• Two of the pencils are the same length.
• The third pencil is shorter than either of the other two pencils. Ashley wants to use each of the pencils as one side of a triangle. How many unique triangles can Ashley make with the three pencils? ANSWER CHOICES (exactly two) (more than two) (exactly one) (zero)
Answer:
more than two
Step-by-step explanation:
she can make one triangle and flip the angles making it more than 2. she could also make many different varieties of triangles.
what is 4270 rounded to the nearest thousands
Answer:
4,000
_______
*rate this answer and say thanks please!
find the equation that represents the proportional relationship in this graph
Answer:
y = 4/5x
Step-by-step explanation:
Points on the graph: (5, 4) and (0, 0)
Slope:
m=(y2-y1)/(x2-x1)
m=(0-4)/(0-5)
m=(-4)/(-5)
m= 4/5
Slope-intercept:
y - y1 = m(x - x1)
y - 4 = 4/5(x - 5)
y - 4 = 4/5x - 4
y = 4/5x
Solve for the Apothem. If the answer has a radical write your answer in the following form, 2v2 = 2sqrt2
Answer:
2sqrt3
Step-by-step explanation:
because it's a 60 30 right triangle. and you have to leave your answer in radical form.
Someone help me on this question..
Answer:
CD= 9
Step-by-step explanation:
AD and CD are the same length. The length of AD is 9. So the length of CD will also be 9. I hope that helps.
Please help me I’m begging you
Answer:
independent= f
dependent= g
Which of the following inequalities is true?
A) -4 <-5
B) -3<-2
C) 0 <-4
D) 1 < -2
Answer:
B) -3 < -2
Step-by-step explanation:
The smaller the negative number, the more "positive" it is. Also, -2 is more than -3 because it is closer to 0.
-8x-10=4x+14 show your work
What would be the exponent if you wrote 2,670 in scientific notation? Just write the number for your answer.
Answer:
2.67 x 10^3
Step-by-step explanation
The exponent is equal to how many numbers are after the decimal point. So, since there are 3 numbers after the decimal point, the exponent would be 3. Hope this helps :)
Trisha bought a carton of orange juice. She drank 1/3 of the carton on Monday and 5/12 of the carton on Tuesday. What fraction of the carton did Trisha drink?
Answer:
i don't remember sorry o know thos was no help sorry
What is the equation of the square root parent function?
Determine whether the measures for the figure shown are proportional.
a. the length of a side and the perimeter
b. the length of a side and the area
PLEASE HELP
a swimming pool is the shape of a rectangular prism. It holds 1440 cubic feet of water. If the base measures 15ft by 12ft, then how deep is the pool
How many males represented in the Venn diagram below have brown hair or brown eyes?
A diagram contains a rectangle labeled 100 males. The rectangle contains two overlapping ovals. The left oval is labeled brown hair 34, and the right oval is labeled brown eyes 22. The overlapping region is labeled 18. Both ovals are shaded.
74
22
56
34
Answer:
I got this answer right its 56
Step-by-step explanation:
I got this question right
Interpreting the Venn diagram given, the number of males with brown eyes or brown hair can be deduced to be 74
Number with brown hairs = 34 Number with brown eyes = 22Number with both brown hairs and eyes = 18Number with brown eyes or brown hairs :
Brown eyes + Brown hairs + Both brown hairs and brown eyes
(34 + 22 + 18) = 74
Therefore, 74 males have brown eyes or brown hairs
Learn more : https://brainly.com/question/17225268
Discover and state the solution for the following System of Equations.
Surface area measures the area of the faces. Area is a blank dimensional measurement, so it is measured in square units.
Answer:
2d or 2 dimensional is the answer i think
Step-by-step explanation:
since area is measured for 2d shapes and surface area is just finding the area of each side separately and adding it together
What is the area of the triangle?
15 cm
12 cm
Answer:
area = 90 cm²
Step-by-step explanation:
area = 1/2bh = 1/2(12)(15) = 90 cm²
One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs $0.91. There are 3.8 liters in one gallon.
Answer the questions below.
1. How much does one gallon of gas cost in Toronto? Round your answer to the nearest cent.
2. Is the cost of gas greater in Buffalo or in Toronto?
3. How much greater?
Answer:
The cost of one gallon of gas in Toronto, Canada is $3.458.
Solution:
Given, One gallon of gasoline in buffalo, New York costs $2.29.
In Toronto, Canada, one liter of gas costs $0.91.
There are 3.8 liters in one gallon.
We have to find how much does one gallon of gas cost in Toronto?
Now, cost of one gallon of gas in Toronto = cost of one litre of gas in Toronto x 3.8 liters for 1 gallon.
Cost of one gallon of gas = 0.91 x 3.8 = 3.458
Hence, the cost of one gallon of gas in Toronto, Canada is $3.458.
dome7w and 28 more users found this answer helpful
Step-by-step explanation:
What is the solution to the system of equations graphed below?
Answer:
one solution (-4, -1)
Step-by-step explanation:
I hope this helps :)
Find the length of AB
Answer:
B 25.2
Step-by-step explanation:
AB = AC - BC
= 51.8 - 26.6 = 25.2
A gumball machine has 450 red gumballs. If the red gumballs are 75% of the total number of gumballs, how many gumballs are in the gumball machine?
Answer:
There are 600 gumballs
all parallellograms are squares true or false
Answer:
false
Step-by-step explanation:
all parallelograms are not square
their opposite sides only equal
Contestants randomly draw a ticket from a hat and replace it. The table shows the results after 40 draws. There are 7 winning tickets in the hat. Predict the total number of tickets in the hat.
Answer:
20, i guess. im only middle school so im guessing it
PLEASE HELP!! will be marked brainliest!!
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Volume Real World Scenarios:
1. the area of the base of a cylinder is 150 square inches. if the volume of the cylinder is 1,050 in.3, what is the height of the cylinder?
2. the volume of a cylinder is 942 cubic feet. if the height of the cylinder is 12 feet, what is the radius of the cylinder?
3. drew and beau both have cylindrical water bottles. drew’s water bottle has a diameter of 6 inches and a height of 7 inches. beau’s water bottle has a diameter of 4 inches and a height of 9 inches. who’s water bottle holds more water, and how much more water does it hold?
4. isabella constructed a cylindrical vase that has a volume of 63 cubic centimeters. jason constructed a cone that has the same height and the same radius as isabella’s cylinder. what is the volume of jason’s cone?
5. a cone has a volume of 942 cubic inches and a height of 9 inches. what is the radius of the cone?
6. tess gets a snow cone shaped container. the container has a diameter of 3 inches and a height of 5 inches. if the snow cone costs $0.20 per cubic inch, how much would her snow cone cost if the container is filled to the top?
7. a sphere has a volume of 288 π π in3. find the radius of the sphere.
8. jasmine is decorating her christmas tree with ornaments shaped like spheres. each ornament has a radius of 3 inches. if the ornaments are filled with glitter, how many total cubic inches of glitter are contained in the ornament?
Using the area formula, the height of the cylinder is found to be approximately 7.87 inches.
What is area?
An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.
Use the formula for the volume of a cylinder to relate the radius, height, and volume of the cylinder -
V = πr²h
Where V is the volume, r is the radius, and h is the height of the cylinder.
It is given that the area of the base of the cylinder is 150 square inches.
Since the base of a cylinder is a circle, the area of the base is given by -
A = πr²
Where A is the area of the base and r is the radius.
Solving for r -
r² = A/π = 150/π
Use the given volume and radius to solve for the height -
V = πr²h
1050 = π(150/π)²h
h ≈ 7.87 inches
Therefore, the height is 7.87 inches.
To learn more about area from the given link
https://brainly.com/question/25292087
#SPJ1
Simplify and show work
(81m^6)^1/2
Click image if helpful