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Gnesinka [82]
3 years ago
12

a person invest $1,700 in an account that earns 3.97% annual interest. find when the value of the investment reaches $3,200

Mathematics
1 answer:
olga_2 [115]3 years ago
5 0

Answer:

  16 1/4 years

Step-by-step explanation:

Assuming interest is compounded annually, the account balance (A) after t years will be ...

  A = P(1 +r)^t

  3200 = 1700·1.0397^t

  log(3200) = log(1700) +t·log(1.0397)

  t = (log(3200) -log(1700))/log(1.0397) ≈ 16.247

The account will reach a balance of $3200 after about 16 1/4 years.

___

You may be asked to round your answer to the nearest integer or tenth. We leave that exercise to the student.

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What is the equation of the line that passes through points (-3, 0.5) and (3, -0.5)
marissa [1.9K]

Answer:

y = (-1/6)x

Step-by-step explanation:

As we move from  (-3, 0.5) to (3, -0.5), x increases by 6 and y decreases by 1.

Hence, the slope of this line is m = rise / run = -1/6.

Starting with the slope-intercept form of the equation of a straight line, we have:

y = mx + b.  We substitute 0.5 for y, -3 for x and -1/6 for m, obtaining:

0.5 = (-1/6)(-3) - b, or:

0.5 = 0.5 - b.  Then b = 0, and the desired equation is

y = (-1/6)x

7 0
3 years ago
there are 90 girls in third year, 25 of whom Study biology what percentage of third year girls study biology
Shtirlitz [24]

Answer:

27.7% of third year girls study biology

5 0
2 years ago
Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers
Vesna [10]

Answer:

726.572699

Step-by-step explanation:

According to differentials

(x+Δx)³ = x³ + 3x²Δx + 3x(Δx)² + (Δx)³ (Using binomial expansion)

Using this formula to solve (8.99)³, this can also be written as;

(8.99)³ =  (9-0.01)³ where

x = 9

Δx = -0.01

Substitute this vales into the differential expression above

(9+(-0.01))³ = 9³ + 3(9)²(-0.01) + 3(9)(-0.01)² + (-0.01)³

(9+(-0.01))³ = 729 + (243)(-0.01) + 27(0.0001) + (-0.000001)

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³  = 726.572699

Hence 8.99³ = 726.572699 (Using differential)

Using calculator;

8.99³ = 726.572699

4 0
3 years ago
Write a verbal expression for 3n-8
lisabon 2012 [21]

Answer: Pick anyone that suits you

  1. 8 is subtracted from 3 times a number
  2. Thrice a number minus 8

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Make y the subject of these equations.<br> by² = d<br> Jay = 6<br> ay - cy = d.<br> cy - b) = y
allsm [11]

Answer:

See all the answers  below.

Step-by-step explanation:

by² = d

Jay = 6

ay - cy = d.

cy - b) = y

Option A

by² = d

divide both side by b

y² = d/b

square both sides

y=√d/b

Option B

Jay = 6

Divide both sides by Ja

y= 6/Ja

Option C

ay - cy = d

y(a-c)=d

divide both sides by (a-c)

y= d/(a-c)

Option D

(cy - b) = y

y-cy=-b

y(1-c)=-b

y= -b/(1-c)

6 0
3 years ago
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