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Serggg [28]
3 years ago
15

A principal of ​$5000 is invested in an account paying an annual rate of 7​%. Find the amount in the account after 5 years if th

e account is compounded​ semiannually, quarterly, and monthly.
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
8 0

Answer:

$7,012.76

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 7/100

r = 0.07 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 5,000.00(1 + 0.07/1)(1)(5)

A = 5,000.00(1 + 0.07)(5)

A = $7,012.76

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 7% per year compounded 1 times per year over 5 years is $7,012.76.

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3 years ago
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Use pascal's triangle to expand the following binomial expression <br>1.(2k-1/3)⁶​
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9514 1404 393

Answer:

  64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729

Step-by-step explanation:

The row of Pascal's triangle we need for a 6th power expansion is ...

  1, 6, 15, 20, 15, 6, 1

These are the coefficients of the products (a^(n-k))(b^k) in the expansion of (a+b)^n as k ranges from 0 to n.

Your expansion is ...

  1(2k)^6(-1/3)^0 +6(2k)^5(-1/3)^1 +15(2k)^4(-1/3)^2 +20(2k)^3(-1/3)^3 +...

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2 years ago
Nick had 20% more video games than Brian together they have 55 video games how many video games does Brian have
Ulleksa [173]
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<h3>What is the perpendicular bisector?</h3>

A perpendicular bisector is a line which bisects other line segment at a right angle, through the intersection point.

A perpendicular bisector divides a line segment through the midpoint.

Properties of perpendicular bisector

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In the given question we need to make a square inside a circle whose diameter AB is marked.

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