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
To learn more about compound interest click :
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Quick help please!!!
Answer:
D
Step-by-step explanation:
this isnt highschool, u are dum
The length of a picture frame is inches more than the width. For what values of x is the perimeter of the picture frame greater than inches?
9514 1404 393
Answer:
x > 35
Step-by-step explanation:
The perimeter is twice the sum of length and width. You want x such that ...
P > 156
2(x +(x+8)) > 156
4x +16 > 156 . . . . . simplify
x +4 > 39 . . . . . . . . divide by 4
x > 35 . . . . . . . . . . . subtract 4
The perimeter of the frame will be greater than 156 inches for x > 35.
What's 64/4 in the simplest form
Answer:
16
Step-by-step explanation:
64 divided by 4 is equal to 16.
Plz help due tomorrow ill give Brainlyest if correct
Answer:
a = 3.6
Step-by-step explanation:
[tex] \frac{2}{3} (6a + 9) = 20.4 \\ \\ \bigg( \frac{2}{3} . \boxed{6a} \bigg) + \bigg(\boxed{ \frac{2}{3}} . {9} \bigg) = \boxed{ 20.4} \\ \\ (2.2a) + (2.3) = 20.4 \\ \\ 4a + 6 = 20.4 \\ \\ 4a = 20.4 - 6 \\ \\ 4a = 14.4 \\ \\ a = \frac{14.4}{4} \\ \\ a = \boxed{3.6}[/tex]
can yall pls help wit this pls asap
i will mark you brainliest if u are correct first
Answer: 4955.30
Step-by-step explanation:
F = P (1+i)^n
F = $4000 (1+.055)^4
F = $4955.2986
Which will be 4955.30
Answer:
A. $4955.30
Step-by-step explanation:
Look at the equation
A(t)= P(1+r)^t
In this equation,
A(t) is your amount after a period of time,
P is the initial balance stated in the question (4000)
r is the rate (must be converted to a decimal) as stated in the question (0.055)
t represents the amount of time that has passed (4 years)
Whenever you plug this into the equation, you get
A(t) = 4000(1.055)^4 and this can be plugged into a calculator to get your answer which will be
4955.29 (round up to .3) and your final answer is A. 4995.30
In order to convert from percent to decimal you just need to move the decimal to the left two places
5.5 becomes 0.055 after the decimal is shifted
I need help due in a Hour
Answer:
2.6
Step-by-step explanation:
FFFFFRrrRRreeeeeeeee PPPPOOOOOIIIINNNNTTTTTSSSSSS
Answer:
OMG! Thank you mate..... :D
need help asap will give brainly
Answer:
x = 60
Step-by-step explanation:
So, ever triangle, no matter what shape or size, is always going to equal 180 degrees. You start off by trying to find angle L which is 71. The way you find this is you subratch 109 from 180 which ultimately gives you 71.
180 - 109 = 71
After that you have to add what you already have (49 degrees) with what you just found (71 degrees)
49 + 71 = 120
Now that you have 120, you have to again subtract 180 by 120 to get your answer, 60 degrees. And that's it.
180 - 120 = 60
A recipe for cookies calls for
cups of chocolate chips for every 3 dozen cookies made. How many cups of chocolate chips would be needed for 7 dozen cookies?
A.
B.
C.
D.
For 7 dozens cookies 3 1/2 cups needed.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
For 3 dozen cookies = 1 1/2 cups = 3/2 cups
For 1 dozen cookies = 3/2 * 1/3 = 1/2 cups needed
So, for 7 dozen cookies = 1/2 * 7
= 3 1/2 cups needed
Hence, for 7 dozens cookies 3 1/2 cups needed.
Learn more about unitary method here:
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solve this equation -3/4x + 6 > -3=
Answer:
[tex]x\leq 0 or x \geq \frac{1}{12}[/tex]
2. Find the measure of x.
Answer:
x = 69 degrees
Step-by-step explanation:
180 - 146 = 34
180 - 77 - 34 = 69
x = 69 degrees
Find the volume: 7cm 16 cm 8 cm
Answer: Greetings my dude. The volume of the triangular prism is around 1,138 Centimeters Cubed.
Hope this helps!
Answer:
volume = length * breadth * height
= 16*7*8
=896
Pls help ASAP in a call with only my teacher
Answer:
a
Step-by-step explanation:
the answer is a. 6 faces 12 edges and 8 vertices
Answer:
I beleive it is the first option
Step-by-step explanation:
Don Pedro tenía una parcela de 10 hectareas, vendió la quinta parte y el resto lo dividió entre sus 4 hijos, cuantas hectareas recibió cada uno?
help me solve this problem please and explain if u can
is this flvs
Step-by-step explanation:
4x + (-3) = -11
What is my answer can You please help me
Answer:
-2
Step-by-step explanation:
Let's solve your equation step-by-step
4x−3=−11
Step 1: Add 3 to both sides
4x−3+3=−11+3
4x=−8
Step 2: Divide both sides by 4
4x
4
=
−8
4
x=−2
Answer:
[tex]4x + ( - 3) = - 11 \\ 4x (- 3) = - 11 \\ 4x = - 11 + 3 \\ 4x = - 8 \\ x = \frac{ - 8}{4} \\ x = - 2[/tex]
When you multiply 2 decimals, how do you know where to place the comma in the product?
Answer:
you mean the decimal point?
Step-by-step explanation:
You will know when you cross the decimal point when multiplying.
Answer: it would just be like putting a comma normally, just all you have to do is get your new number but then just add both the comma and decimal it shouldn’t effect on where its put! If that’s what your asking!
Step-by-step explanation:
The distance a person can travel varies directly with the time they have been traveling if going at a constant speed. If Phoenix traveled 78 miles in 1.5 hours while going at a constant speed, how far will he travel in 2 hours at the same speed?
Answer:
answer is 175 miles, have a good day <3
Solve
b/5 - 37 < -44
Answer:
Step-by-step explanation
B<-35
How many minutes would it take a drone to travel 100 km at a speed of 40 km/min?
Answer:
Divide
Step-by-step explanation:
If you divide them then you get 2.5
Answer:
Kilometers per hour is often used for car speeds. One hour at this speed moves you 100 km
Step-by-step explanation:
i have a headache sorry if wrong
A cube has a side length of 4 feet. What is the volume of the cube?
48 ft3
64 ft3
96 ft3
12 ft3
Answer:
64 square ft^3
Step-by-step explanation:
If the side lengh is 3 then you would have 4^3 which is 64.
Answer:
64
Step-by-step explanation:
if p q by the consecutive interior angles theorem which angles must be supplementary
Answer:
Angles 3 and 8 are consecutive interior angles
Step-by-step explanation:
Here, we want to use the consecutive interior angles theorem to find the supplementary angles
We start by looking at the transversal line
two angles that are directly above each other on the two lines are consecutive interior angles that are supplementary
We have this two as;
Since it is P and Q that are parallel, it is angles 3 and 8 that are consecutive interior angles
Simplify the expression so there is only one power for each base.
Answer:
Step-by-step explanation:
a (-5 + 3) = -2 ; (-7-4) = -11
If we give the cashier a $20 bill for a shirt that costs $22.95, how much more do we owe the cashier?
Answer:
$2.95
Step-by-step explanation:
$22.95-$20
find the measure of angle STP
find the value of x plz
Simplify the expression 7h +(-5.9d) – 17+4d -3.4h
Please help me need it done ASAP
Answer:
−1.9d+3.6h-17
Step-by-step explanation:
You just need to combine like terms ;)
Hope it helps, let me know
Help I will be marking brainliest!!!
A. 22
B. 44√2
C. 22√2
D. 44
Show work, if possible. Thanks❤️
Answer:
I'm doing some of these questions now in my math class. I think it's D) 44 sorry if I'm wrong tho
Answer:
Step-by-step explanation:
Since the hypotenuse is 44 and the two sides are equal to FT we can say
2(FT)^2=44^2
FT^2=968
FT=22(2^(1/2))
So C is the correct answer.
Fifteen pencils are sold for $750. what is the cost for 1 pencil ?
Answer:
50$
Step-by-step explanation:
750/15=50
(do u mean 7.50 cuz if u did its 0.50 cents)
What is the range of the function fx) = -2(6x) + 3?
(-∞,-2]
(-∞,3)
[-2,∞)
[3,∞)