Answer:
3.8 months
Step-by-step explanation:
Question: Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $51,800?
First step! What is 5.3% of 36k?
1,908
Second Step! Divide
51,800/1,908= 27.1488469602
Third Step! Round
27.1488469602= 27.1
27.1 weeks.
7 weeks in a month.
12 months in a year.
27.1/7= 3.8
3.8 months
The number of years for the amount of compound interest to reach $51,800 is given by b = 7 years
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the number years be represented as b
where the amount after b years is = $ 51,800
The initial principal amount P = $ 36,000
The number of times the compound interest is applied = quarterly = 4
Now , the equation is
A = P ( 1 + r/n )ⁿᵇ
On solving for the number of years b , we get
b = ln ( A / P ) / n [ ln ( 1 + r/n ) ]
b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln ( 1 + 0.053/4 ) ] )
On further simplification , we get
b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln (1 + 0.01325 ) ] )
b = 6.911 years
On rounding to the nearest year , we get
b = 7 years
Therefore , the value of b is 7 years
Hence , the number of years is 7 years
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i’m a little bit confused for this one i just need to know what doesn’t belong
Answer:
C
Step-by-step explanation:
there is no other line
No Solutions
One Solution
Many Solutions
-4x+5y=7
8x-10y=-15
Answer:
No solutions
Step-by-step explanation:
The line -4x+5y=7 and 8x-10y=15 have the same slope, so they are parallel, meaning that there are no solutions
Find the equation of the line.
Use exact numbers.
Answer:
[tex]y = \frac{3}{6}x - 3[/tex]
PLEASE HELPPP
Which is a set of collinear points?
Two lines intersect at point H. One line goes through points L and J. The other line goes through points G, I, and K.
A. G, H, I
B. L, H, I
C. G, H, J
D. G, I, J
Answer:
A g, h, i
Step-by-step explanation
A set of collinear points all lie on the same line
Answer:
sf
Step-by-step explanation:
sf
a. What is the minimum value taken by the
expression (x – 4)2 + 6?
Answer:
2x-2
Step-by-step explanation:
Answer:
Minimum value = 6
Step-by-step explanation:
giving brainliest
Find the area of the composite figure below.
pllllllllllllllllllllllllllllllssssssssssssssssssssssssssssssss helppp ASAP
Answer: substitution
Step-by-step explanation:
Substitute 3 in for x for all equations.
3(3)+4 = 13
8(3)-1 = 23
3(3)+4 =13
Add all of the sides together to find the perimeter
13+23+13 =49
Hi my name is jase and i need some help on my math homework the question is Kevin is planting 15 bushes and 9 trees in rows. If he wants all the rows to be exactly the same, with no plants left over, what is the greatest number of rows Kevin can plant?
A rocket travels in a trajectory given by the equation s = -4.9t 2 + v0t, where s is meters above ground, t is time in seconds and v0 is the initial velocity.
If the intial velocity is 49 m/sec, after how many seconds will the rocket reach its maximum height?
a. 5
b. 15
c. 10
The diameter of a circle is 15 m. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Given that, the diameter of the circle 15 m. The circumference of a circle is 2πr. Then the circumference of the circle with the given diameter is 47.1 m.
What is circumference of a circle?Circumference of a circle is also called its perimeter and it describes the overall area of the surrounding circular path. The distance round a circle is its circumference, but this cannot be used as a definition if, as in many elementary treatments, distance is defined in terms of straight lines.
In these conditions, the limit of the perimeters of inscribed regular polygons may be described as the circumference of a circle as the number of sides increases without constraint. When describing abstract geometric forms as well as measuring real-world things, the term circumference is frequently used.
It is given that, the diameter of the circle = 15 m
radius r = diameter/ 2 = 15 m/ 2 = 7.5 m
circumference of circle = 2 π r
= 2 × 3.14 × 7.5 m
= 47.1 m
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41% of 768.92m
Give your answer rounded to 2 DP.
Answer:
315.26
Step-by-step explanation:
41% of 768.92 = 315.2572
Round to 2 d.p. = 315.26
Calculate the length of the altitude (h) of the rhombus
Answer:
h = 15
Step-by-step explanation:
Use Pythagorean Theorem to solve for h.
a² + b² = c²
8² + h² = 17²
64 + h² = 289
h² = 225
h = 15
Jessica's shop sells 7 quarts of ice cream each day. How much is this in pints?
Answer:
14
Step-by-step explanation:
a pint is 1/2 of a quart so to find the number of pints multiply the number of quarts by two
The graph shows the volume of oil (L litres) in a tank at time t seconds. a)find the gradient of the graph b)explain what this gradient represents. the graph intersects the volume axis at L=2 c)explain what this value represents
Answer/Step-by-step explanation:
a. Using two points on the line (0, 2) and (4, 12), find the gradient:
Gradient = ∆y/∆x = (12 - 2) / (4 - 0) = 10/4 = 2.5
Gradient = 2.5
b. The gradient, 2.5, represents the unit rate. That is, the volume of the oil in the tank per second.
i.e. 2.5 litres per second
c. The value, L = 2 represents the y-intercept, which is the starting value or initial volume of oil in the tank at 0 secs.
Solve each system by substitution. − 7x + 2y = − 19
2y − 21 = x
Answer: the first one is x=19/7+2y/7
the second one is y=x/2+21/2
hope this help :)
Plsss help guys
Ill give brainly points to who ever answers this question plsss
the sum of the square of two consecutive positive integers is 85. Write a quadratic equation
Answer:
2x^2 + 2x - 83 = 0
Step-by-step explanation:
Consecutive integers differ by 1
Let the first number be x
The next will be (x+1)
The sum of the squares of these two numbers is 85
so we have;
x^2 + (x + 1)^2 =85
= x^2 + x^2 + 2x + 2 = 85
2x^2 + 2x + 2-85 = 0
2x^2 + 2x - 83 = 0
The class was given a test that had a total of 125 points possible. A student then earned an 84% on the test. What are the total points that this student earned, out of the possible 125 points?
Help me please!!
Answer:
Step-by-step explanation:
84/100 = x/125
x = 105 points
Pls help Pls help Pls help Pls help Pls help ILL GIVE BRAINLIEST
Answer:
I cant see the picture it blocked for some reason probally my pc.
Step-by-step explanation:
Simplify.
9 + 8 + 3x
17 + 3 x
9 + 11 x
20 + x
20 x
Answer:
17+3x
that is the answer
Answer:
17 + 3x
Step-by-step explanation:
9 + 8 + 3x
=17 + 3x
because the 3 contain a valuable x that why it is add to the 17
Simplify the expression
Answer:
x12
Step-by-step explanation:
(x*x*x*x*x) *(x*x*x*x*x*x)
NOBODY RESPONDED ON MY LAST QUESTIONS BUT I NEED HELP!!!!
Answer:
Step-by-step explanation:
4a:(3)
4b: d=don dx3=
Hi, can someone help me with my math homework? I just need help with number C.
Answer:
She left, 875
Step-by-step explanation:
She are 3/4 of berries then She left 1/4 to jelly
[tex] \frac{1}{4} \times 3.5 = .875[/tex]
If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything
Answer:
total pints= 7/2
Ate 3/4 of 7/2 which is 3/4×7/2 = 21/8
left 1/4 of 7/2 which is 1/4×7/2 = 7/8
answer= 7/8
Find the angle which is equal to its supplement.
Answer:
the angle which is equal to its supplement is 90 degree
Solve for x. Round to the nearest tenth.
Answer:
Hope that answers your question
The volume of the rectangular prism is 295.68 in. What is its width?
6.4 in.
11 in.
Answer: 4.2 in³
Step-by-step explanation: We already know the Height, Length, and he volume, but we don't know the width. To find the width:
1. Find the values. 295.68, 6.4, and 11 are all the values.
2. Multiply the Length and Height.
6.4 × 11 = 70.4
3. Calculate the Width by dividing the volume by the product of the length and height
295.68 ÷ 70.4 = 4.2
Hence, 4.2in³ is the missing width.
Let me know if you have any questions.
~ Lily, from Brainly.
Multiply (x+9)2 need help ASAP
Answer:
2+18
Step-by-step explanation:
(x + 9)2 distribute 2 · x = 2x and 9 · 2 = 18.
2x + 18, is the answer.
If you have any further question, please reach out to me :)
What is the difference in length between the longest meteor and the shortest meteor?
Thanks! Hope your right! Hope you have a great day
Given the first term and the common ratio of a geometric
sequence find the first five terms and the explicit formula.
a1 = - 4, r = 6
Answer:
331776
Step-by-step explanation:
The formula for geometric
sequence is given below
ar^n-1
Where a= first term, r= common ratio
From the question, a1 = - 4, r = 6 , n= 5
Then if we substitute, we have
ar^n-1
5th term= ar^n-1
= (-4×6)^(5-1)
=-24 ^ 4
=331776
Hence, the first five terms is =331776
The formula is 5th term= ar^(5-1)
A company plans to ship 2,000 packages of chocolate. The company randomly selects 100 packages and finds that five packages have an incorrect weight.
Based on this data, how many packages out of the 2,000 should be predicted to have an incorrect weight?
Answer: 100 have an incorrect weight
Step-by-step explanation:
You divide 2,000 by 100 than multiply by 5
Answer: it would be 100
Step-by-step explanation: I took the test and got it right