Suppose you deposit $1,500 in a savings account that pays interest at an annual rate of 5%. If no money is added or withdrawn from the account, answer the following questions.
a. How much will be in the account after 4 years?
b. How much will be in the account after 16 years?
c. How many years will it take for the account to contain $2,000?
d. How many years will it take for the account to contain $2,500?
Answers
Answer:
The solution is given below.
Step-by-step explanation:
Given that
Deposited amount = $1,500
Rate of interest = 5%
We need to find out the following things
a. The account after 4 years i.e. future value
As we know that
Future value = Present value × (1 + rate)^time period
Future value = $1,500 × (1 + 0.05)^4
Future value = $1,500 × (1.05)^4
Future value = $1,823.26
b. The account after 16 years i.e. future value
As we know that
Future value = Present value × (1 + rate)^time period
Future value = $1,500 × (1 + 0.05)^16
Future value = $1,500 × (1.05)^16
Future value = $3,274.312
c. The number of years that contain the amount of $2,000
Here
PV = $1,500
FV = $2,000
PMT = $0
RATE = 5%
The following formula should be applied
= NPER(RATE;PMT;-PV;FV;TYPE)
After applying the above formula, the time period is 4.94 years
d. The number of years that contain the amount of $2,500
Here
PV = $1,500
FV = $2,000
PMT = $0
RATE = 5%
The following formula should be applied
= NPER(RATE;PMT;-PV;FV;TYPE)
After applying the above formula, the time period is 8.77 years
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How many students chose snap?
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Answer:
Well 40% of 120 is 48 so 48 students
Step-by-step explanation:
i dont understand this
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Pass - studied = 23
Didn’t pass - studied = 4
Didn’t pass - didn’t study = 2
Determine if the 2 triangles are congruent.
A) AAS
B) Not enough information
C) SAS
D) HL
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Task 4 Task 다. Given: m
Answers
Answer:
where the choices?
Step-by-step explanation:
7. Marcy is taking part in a summer movie club. She will
earn 3 points for each movie she attends throughout the
summer. Which equation represents the relationship
between y, the total points, and x the number of movies?
A y=3x
B. y = 3+x
C. x= 3y
D. x=y+3
Answers
Answer:
The equation that represents the relationship between 'y' the total points, and 'x' the number of movies is option A;
A y = 3·x
Step-by-step explanation:
The information required in the question is an equation that represents the the relationship between the number of movie attended and the total number of points Marcy has given that she earns a fixed amount of points for attending each movie
The number of points she will earn for attending each movie = 3 points
The total number of points she will earn 'y' when she attends 'x' number of movies is given as follows;
y = 3 + 3 + 3 + ... + 3, 'x' number of times, and we can write
[tex]y = \sum\limits_{i =1}^x 3 = 3 \times x[/tex]
Therefore the equation that represents the relationship between 'y' the total points, and 'x' the number of movies is y = 3·x.
Jada’s lawn mowing service charges $28 an hour plus a $20 fee to cover gas for the mower. Mai’slawn service charges $16 an hour, but a $44 fee. For how many hours will Jada’s service be cheaper than Mai’s?
I need the answer pretty quick plsss
Answers
Answer:
Jadas for 4 hours
Step-by-step explanation:
28+20=48
16+44=60
60 x 4 = ?
48 x 4 = ?
Overall Jada's plan is cheaper!!!!!1
Have a great day! Hope this helps!!!!!!!!!!
Seven buddies got together to eat chicken wings. There were total of 133 chicken wings. If each of the buddies ate the same number of chicken wings, how many did each person eat?
A 19
B. 13
C. 15
D. 17
Answers
Answer:
133÷7=19
19 is the answer
In 1978, the amount of earnings required to earn one Social Security credit was $250. Thirty-eight years later, in 2016, the amount was $1260. What was the percent increase in the amount required to earn a credit over this 38-year span?
Answers
Answer:
404%
Step-by-step explanation:
To find the percentage difference do the following: (FV - SV)/|SV| * 100
(1260 - 250)/|250| * 100 {Subtract 250 from 1260 to get 1010. The absolute value of 250 is 250.}
1010/250 * 100 {Divide 1010 by 250 to get 4.04, or 101/25.}
101/25 * 100/1 {CROSS CANCELLATION}
101 * 4 {Multiply 4 by 101 to get 404.}
404%
The percent increase in the amount required to earn a credit over 38 years is 404%.
7/20X5/5 equals? Any help
?
Answers
PLEASE HELP!! I WILL GIVE POINTS AND BRAINEST!
Answers
Answer:
Yes. They are similar because they have the same shape and one is just flipped and smaller.
Answer: Yes
Step-by-step explanation: For a quadrilateral to be similar, the angles must be congruent. This is true since the angle measures are the same since it flipped and dilated.
What is the domain of the graph?
Answers
Answer:
B
Step-by-step explanation:
x is greater than or equal to 2 and x is less than or equal to 5
A 50,000 investment earns 18 percent annually. If b represents the balance and t represents the number of years
Answers
Answer: B = 50,000 * 1.18^t
Step-by-step explanation:
This requires the use of the Future Value formula.
Future value = Amount invested + ( 1 + rate) ^ number of years invested
Future value = B in this scenario.
t = number of years.
When putting in figures therefore, the formula becomes:
B = 50,000 * ( 1 + 18%) ^ t
B = 50,000 * 1.18^t
Plz Help Me
Students were surveyed about their favorite food. Here are the results:
34% of the students like pizza
24% of the students like hamburgers
58% of the students like chicken
8% of the students like all three
12% of the students like pizza and hamburgers
22% of the students like pizza and chicken
8% of the students like only hamburgers
What percent of the students did not like pizza, hamburgers or chicken?
Answers
Answer:
0%
Step-by-step explanation:
They all liked one type of food.
The percent of the students which does not like pizza, hamburgers or chicken in the result of survey of favorite food are 22%.
Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.
Students were surveyed about their favorite food. Here are the results:
34% of the students like pizza24% of the students like hamburgers58% of the students like chicken8% of the students like all three12% of the students like pizza and hamburgers22% of the students like pizza and chickenonly 8% of the students like hamburgersThe vann diagram which represent this result is attached below. 8% of the students like all three, so 4% like chicken and hamburger and 4% pizza and hamburger.
14% of the students like pizza and chicken. Thus, the percent of the students did not like pizza, hamburgers or chicken is,
[tex]100-(32+14+8+4+4+8+8)=22\%[/tex]
Thus, the percent of the students which does not like pizza, hamburgers or chicken in the result of survey of favorite food are 22%.
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What is the surface area?
5 mm
4 mm
5 mm
6 mm
7 mm
square millimeters
Answers
Answer:
136 square millimeters
Step-by-step explanation:
Please help me!!
3. Determine whether or not AB is tangent to circle O. Show your work.
Answers
Answer:
not tangent
Step-by-step explanation:
two reasons, first
Triangle AOB is not a right triangle
line AB intersects the circle O at two points.
The line AB touching the circle at point B in the considered diagram is not tangent to the circle O.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
How are radius and tangent to a circle related?There is a theorem in mathematics that:
If there is a circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to the line L.
So, if AB is a tangent, then ∠ABO = 90° and therefore satisfies Pythagoras theorem.
Assuming AB is tangent, then ABO is right angled we should get:
[tex]H^2 = P^2 + B^2\\30^2 = 16^2 + 12^2\\900 = 256 + 144\\900= 500[/tex]
This statement is false, and therefore, so as our assumption is false that AB is tangent to circle O. Thus, AB is not tangent to circle O.
(so it might be that even if AB looks like touching at one point the circle O, but AB might be intersecting the circle at two points, or not touching it at all)
Thus, the line AB touching the circle at point B in the considered diagram is not tangent to the circle O.
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Explain the differences and similarities between 8 + (−5) and 8 − 5.
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Answer:
The use different equations but both equal 3
Step-by-step explanation:
WILL MARK BRAINLYEST! 1567584+3121350393X59=
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Answer:184161240771
Step-by-step explanation:
Calculator
Answer:
184,161,240,771
Step-by-step explanation:
have a nice day!
₊˚ ‧꒰ mei ꒱ ‧₊˚
I've tried to get the answer for this 13 times now (not joking), plzzz help: write a formula that represents the number of people in the nth row (pre-calc problem, I only need the formula)
I will report if sent a link
Answers
Answer:
2820 seatsaₙ = 3n + 9Step-by-step explanation:
This is an AP with:
The first term a₁ = 12Common difference d = 3Number of terms n = 40Number of the seats:
Sₙ = 1/2*n(a₁ + aₙ) = 1/2n(2a₁ + (n - 1)d)S₄₀ = 1/2*40(12*2 + 39*3) = 2820 seatsFormula of nth term:
aₙ = a₁ + (n - 1)daₙ = 12 + (n - 1)*3 = 12 + 3n - 3 = 3n + 9aₙ = 3n + 9Write an equation of a line that is parallel to the line y
4x +3
Answers
Answer:
[tex]y=4x+4[/tex]
Step-by-step explanation:
There are infinite answers
All you have to do is changed the last number 3, to any real number greater or less than 3
Beyunka has six baseballs that she keeps at her grandparents’ house. That number represents 20% of the baseballs that come in a case. The relationship is shown in the tape diagram below. What is the total number of baseballs that come in a case?
Help
Answers
Answer:
30 is the total number of baseballs that come in a case
How to solve: 1/3 x 23,26 x 7
Answers
Answer:
54.27333333
Step-by-step explanation:
just put them all into a calculator and multiply them
1/3*23.26*7=54.27333333
Answer:
around 54.27
Step-by-step explanation:
Just multiply the numbers or change them to decimals (1/3 = 0.333 , 23.26, and 7 = 7.0)
1/3 * 23.26 * 7 = 54.273 (repeating)
A ball is thrown into the air from the top of a building. The height, h (t), of the ball
above the ground t seconds after it is thrown can be modeled by the function
h (t) = -16t+64t + 80. Explain the meaning of h (0) = 80 in the context of
the problem.
Answers
Answer:
See below
Step-by-step explanation:
h(0) is the height of the ball when it is thrown. h(0) = 80 ft. The top of the building is 80 ft. above ground.
Nicholas spent $10, including tax, on 2.5 centimeters of metal cable. what is the cost, in dollars, per centimeter of cable
Answers
Answer:
for each centimeter its $4
Step-by-step explanation:
10 divided by 2.5 is 4
1 = 4
2 = 8
2.5 equals 4 divided by 2 so 8 + 2 = 10
Find mean of the following data.
X 5 10 15 20
F 3 6 3 4
25
4
Answers
Answer:
14.1
Step-by-step explanation:
Mean = sum of the items/ no. of items = ∑fx÷∑f = 705÷ 50 = 14.1
Mary bought a desk on sale for 88.40. This price was 74% less than the original price.
What was the original price?
Answers
Answer:
p = $340
Step-by-step explanation:
Let p represent the original price. Then the amount Mary paid was (100% - 74%) of the original price: 0.26p = $88.40.
Solving for p: p = $340
Check: what is 74% of $340? $251.60. Subtracting this from $340, we get $88.40. This agrees with the problem statement.
pls help me plsssssssssss
Answers
Answer:
Step-by-step explanation:
Using the markings below, determine which of the following is the measure of angle 2
Answers
Answer:
4. 132°Step-by-step explanation:
Both the triangles on the left and right are isosceles
The top angle of the triangle on the left:
180° - 2*69° = 42°The top angle of the triangle on the right:
90° - 42° = 48°This is the same angle as supplementary with angle 2:
∠2 = 180° - 48° = 132°Correct choice is 4
simplify the expression below (3³-3²)+2³=
Answers
Answer:
1^1+2^3 I believe
Step-by-step explanation:
=3³-²+2³
=3¹ + 2³
= 3+ 8
=11
help i dont what to do
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Answer:
area=breadth* height
2*9
The diagram shows a square ABCD
M is the midpoint of AB
N is the midpoint of AD
The area of the shaded triangle AMN is 8cm^2
Work out the area of triangle MCN
Answers
The area of the triangle, Δ AMN is 8 cm², so the area of the triangle, ΔMCN is 24 cm².
A triangle is one of the most basic geometric figures with 3 sides, 3 angles, and 3 vertices.
The area of a triangle is half of the product of the base and height.
Given that
ABCD is square and M and N are mid-points of lines AB and AD respectively.
Area of triangle, ΔAMN = 8 cm²
[tex]\dfrac{1}{2} \times AN \times AM = 8\\AN \times AM = 8 \times 2\\AN \times AM = 16[/tex] ...(i)
Since ABCD is square, therefore AB = AD.
Also, as M and N are mid-points of lines AB and AD, so
AN = AM.
Substitute AN = AM in equation (i),
[tex]AN \times AN = 16\\AN^2 = 16\\AN = \sqrt{16}\\AN = 4\ cm[/tex]
So,
AD = 2 × AN
= 2 × 4
= 8 cm
As ABCD is square,
AB = BC = CD = AD = 8 cm.
Area of the square ABCD = 8² = 64.
Since CD = BC, ND = MB, ∠D = ∠B.
Therefore by SAS property of similarity,
ΔCDN ≅ ΔCBM
Area of the triangle, ΔCDN = Area of the triangle, ΔCBM.
[tex]= \dfrac{1}{2} \times CB \times BM\\= \dfrac{1}{2} \times 8 \times 4\\\\= 16\ cm^2[/tex]
Area of the triangle, ΔCMN = Area of ABCD - Area of ΔAMN - Area of ΔCDN - Area of ΔCBM
Area of the triangle, ΔCMN = 64 - 8 - 16 - 16
= 24 cm²
Therefore, the area of ΔCMN is 24 cm².
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