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Lynna [10]
2 years ago
8

You want to have $200,000 when you retire in 25 years. If you can earn 3% interest rate compounded continuously, how much would

you need to deposit now into the account to reach your retirement goal?
Mathematics
1 answer:
mash [69]2 years ago
5 0

9514 1404 393

Answer:

  $94,473.31

Step-by-step explanation:

The multiplier in 25 years is ...

  e^(rt) = e^(0.03·25) = e^0.75 ≈ 2.117

To have an account value of $200,000 in 25 years, you need to deposit now ...

  $200,000/2.117 = $94,473.31

_____

When this amount is multiplied by 2.117, the result is 200,000.

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the function f(x) = 3,005(1+0.03)^x represents the amount of money in a savings account where x represents time in years. what d
Stolb23 [73]

Answer:

Option d. the initial amount of money placed in the savings account

Step-by-step explanation:

we have

f(x)=3,005(1+0.03)^{x}

This is a exponential function of the form

f(x)=a(1+r)^{x}

where

a is the initial value

r is the growth rate

(1+r) is the base

x is the number of years

f(x) is the amount of money in a savings account

In this problem we have

a=$3,005

r=0.03=3%

(1+r)=1.03

therefore

3,005 represent the initial value ( the amount of money for the value of x equal to zero)

6 0
3 years ago
Read 2 more answers
Pls help me solve this one please..<br> (3/4)to the 2nd power +(1/2)to the second power
andriy [413]
9/16 + 1/4
9+4/16
13/16

Alternative form
0.8125
5 0
3 years ago
To illustrate the effects of driving under the influence of alcohol, a police officer brought a DUI simulator to a local high sc
nexus9112 [7]

Answer:

Check the explanation

Step-by-step explanation:

Here we have to first of all carry out dependent sample t test. consequently wore goggles first was selected at random for the reason that the reaction time in an emergency taken with goggles would be greater than the amount of reaction time in an emergency taken with not so weakened vision. So that we will get the positive differences d = impaired - normal

b)

To find 95% confidence interval first we need to find sample mean and sample sd for difference d = impaired minus normal.

We can find it using excel that is in the first attached image below,

Therefore sample mean ( \bar{X}_{d} ) = 0.98

Sample sd ( \bar{S}_{d} ) = 0.3788

To find 95% Confidence interval we can use TI-84 calculator,

Press STAT ----> Scroll to TESTS ---- > Scroll down to 8: T Interval and hit enter.

Kindly check the attached image below.

Therefore we are 95% confident that mean difference in braking time with impaired vision and normal vision is between ( 0.6888 , 1.2712)

Conclusion : As both values in the interval are greater than 0 , mean difference impaired minus normal is not equal to 0

There is significant evidence that  there is a difference in braking time with impaired vision and normal vision at 95% confidence level .

7 0
3 years ago
suppose you performed a regression analysis. you were given four observations of the target at [1.0, 1.5, 2.8, 3.7], and you pre
Arlecino [84]

Suppose you performed a regression analysis. The mse for this scenario is 0.105

Regression is a statistical method used in finance, making an investment, and different disciplines that attempt to determine the electricity and man or woman of the relationship between one established variable (commonly denoted through Y) and a sequence of different variables (called independent variables).

We are able to say that age and peak can be described through the usage of a linear regression version. because someone's peak will increase as age will increase, they have got a linear courting. Regression fashions are commonly used as statistical proof of claims regarding regular statistics.

"Regression" comes from "regress" which in turn comes from Latin "regresses" - to head returned (to something). In that feel, regression is the approach that permits "to head again" from messy, hard-to-interpret data, to a clearer and more significant version.

y ypred (y-ypred)^2

1 1.1 0.01

1.5 1.3 0.04

2.8 3.2 0.16

3.7 3.7 0

The error sum of the square is given by

ESS = (y- )

ESS=0.21

The mean square error is given by

ESS MSE = ESS/dfe

MSE = \frac{0.21}{2}

MSE = 0.105

Learn more about regression here brainly.com/question/26755306

#SPJ4

6 0
2 years ago
Debbie has equal numbers of dimes and quarters with a total value of $1.40. How many coins does she have altogether?
-BARSIC- [3]
x=amount\ of\ each\ coin. \\ .25x+.1x=1.4 \\ .35x=1.4 \\ x= \frac{1.4}{.35} \\  x=4\ of\ each\ coin. \\ 4\ quarters\ and\ 4\ dimes. \\ \boxed{8\ coins\ in\ total}
3 0
3 years ago
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