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a_sh-v [17]
2 years ago
7

You earned $1600 in interest in your savings account over 10 years at a rate of 8%. How much money did you originally deposit in

to your savings account?
Mathematics
1 answer:
Amanda [17]2 years ago
8 0

A = p(1+r)^t

1600 = p(1+0.08)¹⁰

P = 1600/2.1589

P= 741.12

741.12 dollar money did you originally deposit into your savings account!

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Construct a residual plot of the amount of money in a person’s bank account and their age that would indicate a linear model.
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Answer:

The regression line is not a good model because there is a pattern in the residual plot.

Step-by-step explanation:

Given is a  residual plot for a data set

The residual plot shows scatter plot of x and y

The plotting of points show that there is not likely to be a linear trend of relation between the two variables. It is more likely to be parabolic or exponential.

Hence the regression line cannot be a good model as they do not approach 0.

Also there is not a pattern of linear trend.

D) The regression line is not a good model because there is a pattern in the residual plot.

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Which graph best represents a kitten's weight for the first two years after birth if, from birth to 2 years old, its weight incr
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Under her cell phone plan, Aubrey pays a flat cost of $57.50 per month and $4 per gigabyte . She wants to keep her bill at $75.1
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3 years ago
Laura goes to a bank and opens a new account. She deposits $5,500. The bank pays 1. 6% interest compounded annually on this acco
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The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

<h3>How to calculate compound interest's amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

CI = P(1 +\dfrac{R}{100})^T - P

The final amount becomes:

A = CI + P\\A = P(1 +\dfrac{R}{100})^T

For the considered case, we're given that:

  • Initial amount Laura deposited = $5,500 = P
  • Type of interest: Compound interest
  • Unit of time: Annually
  • Rate of interest = 1.6% annually = R
  • Total unit of time for which amount is to be calculated: 4 years = T

The final amount at the end of 4 years in the considered account of Laura is evaluated as:

A = 5500(1 + \dfrac{1.6}{100})^4 = 5500(1.016)^4  \approx 5860.53 \: \rm (in \:  dollars)

Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

Learn more about compound interest here:

brainly.com/question/11897800

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