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 1

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.

Samantha Invested $670 In An Account Paying An Interest Rate Of 5.5% Compounded Daily. Assuming No Deposits

Related Questions

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?

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.

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

B, D, and E
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.

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]

The correct answer is 0.903. I hope this helps.

Solve the proportion. 8/11 = 4/y + 2

Answers

Answer:

[tex]y=-\frac{22}{7}[/tex]

Step-by-step explanation:

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

Simple linear regression is typically not best for a binary dependent variable (live or die). I think a probit or logit regression is more appropriate if I remember correctly...

Can somebody explain how to do this quickly. Already know how to solve it but it takes me a long time

Answers

Answer:

n = 8

Step-by-step explanation:

Initial point: (1, -2)

Final point: y = x

Blue light translation:

4 units right, 5 units downNumber of translations = n

Red light translation:

1 unit left, 4 units upNumber of translations = 15

Final point is going to be:

x = 1 + 4n - 15*1 = 4n - 14y = -2 - 5n + 15*4 = -5n + 58

Since the coordinates of final point are same, we have:

4n - 14 = -5n + 584n + 5n = 58 + 149n = 72n = 72/9n = 8

What would 2^-5 equal ?

Answers

Answer:

0.03125

Step-by-step explanation:

Answer: -10

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.

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

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

The equation 2(3x+8) simplyed is 6x + 16

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

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

the answer is spammed key board

Answer:

EZ! 362 bobux

GO TO FLIMFLAM.SHOP

please help meee!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

8+(-15)=-7

I-7 I=7

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

The answer would be 4,500 gallons left.

What is the value of | -5 | - (-5)?

Answers

|-5|-(-5)

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

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)

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

PLZ HELP
Do the ones you know!

Answers

the first one in the top is 180 degrees so 8(15) and 8x15=120 so x on the other side is 60.

What is the value of the expression shown? 4[4.5 − 2(1.2)]

Answers

8.4 or 8 2/5 or 42/5

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;)

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

can you guys help me pls this is my final :(

Answers

Answer:

look up on math..way:)

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

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

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 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 :)~

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

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:

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

3x-5y=22 y=-5x+32 what is the value of x

Answers

Here you goo:))) god

can someone show me how to do ones like this two

Answers

Just muiltply them I think by
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