Samantha invested $670 in an account paying an interest rate of 5.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,740?
Answers
Answer:
17 years
Step-by-step explanation:
The formula for the value of an account earning compound interest can be used to find the number of years. That formula is ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r compounded n times per year for t years.
__
Solving for t, we find ...
A/P = (1 +r/n)^(nt) . . . . . . divide by P
log(A/P) = nt·log(1 +r/n) . . . . take logarithms
t = log(A/P)/(n·log(1 +r/n)) . . . . . divide by the coefficient of t
For the given values, the time required is ...
t = log(1740/670)/(365·log(1 +0.055/365)) ≈ 17.353
It would take about 17 years for the account value to reach $1740.
_____
Additional comment
The time-value-of-money (TVM) apps of your calculator or spreadsheet can be used to find the time period of interest. Here, setting P/Y = 1 gives N in years.
Related Questions
What is the value of the expression shown? 4[4.5 − 2(1.2)]
Answers
2x1.2
4(4.5-2.4)
4 x 2.1
8.4
ANSWER: 8.4 or 8 2/5 or 42/5
please mark brainliest if my answer is correct;)
Which of the following hace a value equal to |37|? Select all that apply
A. -37
B. |-37|
C.0
D. -(-37)
E. 37
Answers
The absolute value of -37 is 37.
The absolute value of 37 is also 37.
When you distribute the negative in the parenthesis the -37 becomes positive.
5. The weight of 1 bag of sugar is 12.5 kg. What is the weight of 15 such bags?
Answers
Answer:
187.5
Step-by-step explanation:
Answer:
187.5
Step-by-step explanation:
The reason is because I just did the math and I am pretty sure this is right please give me brain list
please!
If the sixth term in a geometric sequence is 1/625, and the common ratio is 1/5, find the explicit formula of the sequence.
Question 21 options:
an=(15)n−1for n ≥ 1
an=(5)⋅(15)n−1for n ≥ 2
an=(1)⋅(15)n−1for n ≥ 2
an=(5)⋅(15)n−1for n ≥ 1
Answers
Answer:
aₙ = 5*(1/5)^(n - 1)
Step-by-step explanation:
The recursive relation for a geometric sequence is:
aₙ = aₙ₋₁*R
where R is the common ratio.
We could write this in a general form as:
aₙ = a₁*(R)^(n - 1)
where a₁ is the first term of the sequence.
In this case we know that:
R = 1/5
And that:
a₆ = 1/625
Then we can replace these values in the above relation to get:
a₆ = (1/625) = a₁*(1/5)^(6 - 1) = a₁*(1/5^5) = a₁*(1/3125)
1/625 = a1*(1/3125)
(3125/625) = a1 = 5
Then the formula will be:
aₙ = 5*(1/5)^(n - 1)
please help I need the answer!!! thanks in advance!
Answers
Answer:
0.903
Step-by-step explanation:
[tex] log_{a}8 \\ \\ = log_{a} {2}^{3} \\ \\ = 3log_{a} {2} \\ \\ = 3 \times 0.301 \\ \\ log_{a}8 = 0.903[/tex]
What would 2^-5 equal ?
Answers
Answer:
0.03125
Step-by-step explanation:
Step-by-step explanation:
2 times -5 would equal -10 because if you add 5, 2 times so 5+5 you would get 10, but because 5 is a negative, 10 is also negative.
What is the value of | -5 | - (-5)?
Answers
The absolute value of any number is always positive
5-(-5)
When there is a in front of an expression in parentheses, change the sign of each term in the expression
5+5
Add the numbers
10
Answer=10
What does the value -8-(-2) of represent on the number line ?
1. A value that is 2 units from -8 in the positive direction
2. A value that is 2 units from 8 in the positive direction
3. A value that is 2 units from -8 in the negative direction
4. A value that is 2 units from 8 in the negative direction
Answers ASAP!!!!!
Answers
Answer:
2 from -8 in a positive direction its really not that hard smh
Step-by-step explanation:
Answer:
A. a value that is 2 units from –8 in the positive direction
which mixed number is equal to 18/8
2 6/9
2 5/8
2 1/4
1 2/8
Answers
Answer: 2 1/4
Step-by-step explanation:
14:56 in simplest form?
Answers
Answer:
4
Step-by-step explanation:
Hope this helps:)
Answer:
No
Step-by-step explanation:
Simplest form is
1:4
14/14 = 1
56/14 = 4
PLZ HELP
Do the ones you know!
Answers
Find 83 1/3 % of 384
Answers
Answer:
319.872
Step-by-step explanation:
319.872 / 384 = 83 1/3 / 100
Final Answer: [tex]320[/tex]
Steps/Reasons/Explanation:
Question: Find [tex]83\frac{1}{3}[/tex]% of [tex]384[/tex].
Step 1: Convert mixed fraction into improper fraction.
[tex]\frac{250}{3}[/tex]
Step 2: Multiply [tex]\frac{250}{3 * 100}[/tex] with [tex]384[/tex].
[tex]\frac{96000}{300}[/tex]
Step 3: Simplify
[tex]320[/tex]
~I hope I helped you :)~
Can somebody explain how to do this quickly. Already know how to solve it but it takes me a long time
Answers
Answer:
n = 8Step-by-step explanation:
Initial point: (1, -2)
Final point: y = x
Blue light translation:
4 units right, 5 units downNumber of translations = nRed light translation:
1 unit left, 4 units upNumber of translations = 15Final point is going to be:
x = 1 + 4n - 15*1 = 4n - 14y = -2 - 5n + 15*4 = -5n + 58Since the coordinates of final point are same, we have:
4n - 14 = -5n + 584n + 5n = 58 + 149n = 72n = 72/9n = 8Solve the proportion. 8/11 = 4/y + 2
Answers
Answer:
[tex]y=-\frac{22}{7}[/tex]
Step-by-step explanation:
A person places $1380 in an investment account earning an annual rate of 8.6%,
compounded continuously. Using the formula V = Pent, where Vis the value of the
account int years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 10 years.
Answers
Answer:
3261.16
Step-by-step explanation:
r=8.6\%=0.086
r=8.6%=0.086
Move decimal over two places
P=1380
P=1380
Given as the pricipal
t=10
t=10
Given as the time
V=Pe^{rt}
V=Pe
rt
V=1380e^{0.086( 10)}
V=1380e
0.086(10)
Plug in
V=1380e^{0.86}
V=1380e
0.86
Multiply
V=3261.1618\approx 3261.16
V=3261.1618≈3261.16
if i give Mr_MunchlyYumYum 800 bobux and gave him an extra 372 bobux and then cool nbayoungboy182 saw the bobux and took 1000 bobux and then bigwetslimyfart took 341 bobux from nbayoungboy182. nbayoungboy182 gives Mr_MunchlyYumYum 532 bobux. how much bobux does Mr_MunchlyYumYum have? (answer question for 46586373687634587476523498567823686857643872 bobux)
Answers
Answer:
EZ! 362 bobux
GO TO FLIMFLAM.SHOP
Is it appropriate to fit a simple linear regression model that predicts survival (live or die) of a mouse using the quantitative variable of drug dosage (in milligrams) as a predictor variable?
Answers
Simplify the expression below. 2 (3x + 8)
Answers
Answer: 6x + 16
Step-by-step explanation:
2(3x+8)
Use distributive property and get:
6x + 16
3.7+3.-1=
help I have a homework and I don't know the answer
Answers
Answer:
the solution is 5.7
3.7+3-16.7-15.7
Luis wants to buy Jordans for 75.23. He saves 10.27 per month. Write an equation to solve how many months he'll need to save.
Answers
Answer:
75.23=10.27x
Step-by-step explanation:
x will represent how many months Luis will save and it will equal 75.23. To find the value of x, divide 10.27 on both sides and get x=7.32. That means Luis will need to earn 10.27 for 7.32 months to get Jordans.
What is the answer and plz give me step by step explaining
Answers
Answer:
-5×+12-7×=-3(5×+8)
-5×+12-7×=-15×+24
-12×+12=-15×+24
-12×+12=-15×+24
3×+12=24
3×=12
×=4
Step-by-step explanation:
-5×+12-7×=-3(5×+8)
-5×+12-7×+24
-12×+12=-15×+24
-12×+=-15×+24
Find the length of AB PLEASE HELP
Answers
Answer: D) 53.74
This value is approximate.
===========================================
Work Shown:
x = length of AB
Use the sine rule to say
sin(angle) = opposite/hypotenuse
sin(B) = AC/AB
sin(61) = 47/x
x*sin(61) = 47
x = 47/sin(61)
x = 53.7376 ..... make sure your calculator is in degree mode
x = 53.74
So AB = 53.74 approximately
PLZ HELP FAST
Enter an equation in standard form to model the linear situation.
A pool that is being drained contained 19,000 gallons of water. After 2 hours, 14,500 gallons of water remain.
Answers
3x-5y=22 y=-5x+32 what is the value of x
Answers
can you guys help me pls this is my final :(
Answers
Answer:
look up on math..way:)
Step-by-step explanation:
can someone show me how to do ones like this two
Answers
Whats the slope of the line?
Answers
Answer:
-4,5
Step-by-step explanation:
There are two ways you can figure it out.
One way is to choose any two distinct points (x1,y1) and (x2,y2) on the line then use the slope formula below to find the slope m.
m=y2−y1x2−x1. So your points are (-2,2) and (-2,3)
So you need to find the y and x coordinates-
Should I continue explaining? Or r u good?
Please help me out !!!
Answers
Answer:
If the segments AU and UT are equal then AT equals 66, if the segments are not equal then AT equals 6x+24. Depends on what you are learning. Use what you need!
Step-by-step explanation:
4x+5 = 2x+19
2x=14
x=7
4(7)+5+2(7)+19 = 42+24 = 66
I need help with this I’ll mark you as branliest
Answers
Answer:
y=3x
Step-by-step explanation:
Answer:
im sure its y=3x
please help meee!!!!!!!
Answers
Answer:
A
Step-by-step explanation:
8+(-15)=-7
I-7 I=7