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Nastasia [14]
3 years ago
7

Claire is going to invest $2,600 and leave it in an account for 18 years. Assuming the interest is compounded continuously, what

interest rate, to the nearest hundredth of a percent, would be required in order for Claire to end up with $4,300?
Mathematics
2 answers:
Bogdan [553]3 years ago
8 0

Answer:

Rate of interest r = 2.83 % (Approx.)

Step-by-step explanation:

Given:

Amount invested p = $2,600

Amount get A = $4,300

Number of year n = 18

Find:

Rate of interest r

Computation:

A = p(1+r)ⁿ

4,300 = 2,600(1+r)¹⁸

(1+r)¹⁸ = 1.653846

Rate of interest r = 2.83 % (Approx.)

Contact [7]3 years ago
3 0

Answer: 2.80%

Step-by-step explanation:

Delta Math

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Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2).
arsen [322]

Answer:

y=-2x+2

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

<u>1) Determine the slope</u>

m=\frac{y_2-y_1}{x_2-x_1} where the two given points are (x_1,y_1) and (x_2,y_2)

Plug in the given points (-1, 4) and (0, 2)

=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2

Therefore, the slope of the line is -2. Plug this into y=mx+b:

y=-2x+b

<u>2) Determine the y-intercept</u>

y=-2x+b

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.

One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.

Plug this back into the equation:

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6 0
3 years ago
The ticket price for an ice hockey match used to cost £19.60. The price has now increased by 12.5%. How much will 2 tickets cost
Amanda [17]

Answer:

The 2 tickets will cost £44.10 after the increase.

Step-by-step explanation:

First, you have to multiply £19.60 by 12.5% to find the increase in the cost of tickets.

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Add the price increase to the original cost to find the new cost of each ticket.

19.60+2.45=22.05

Multiply the result by 2 since you have to look for the cost of the 2 tickets.

22.05(2)=44.10

8 0
3 years ago
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