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2 years ago

The points (-1.6, 2.7) and (3.2, 7.98) are on the graph of a linear relationship between two variables, r and y.

Mathematics

1 answer:

Aleksandr [31]2 years ago

6 0

Answer:

y = 1.1x +4.46

y = 129.86 for x = 114

Step-by-step explanation:

The two-point form of the the equation for a line is useful for this.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (7.98 -2.7)/(3.2 -(-1.6))(x -(-1.6)) + 2.7

y = 5.28/4.8(x +1.6) + 2.7

y = 1.1x +1.76 +2.7

y = 1.1x +4.46

When x=114, the value of y is ...

y = 1.1(114) +4.46

y = 129.86

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Factor by grouping. Group up the terms into pairs, factor each pair, then factor out the overall GCF.

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Read 2 more answers

1400 dollars is placed in an account with an annual interest rate of 5.5%. to the nearest year, how long will it take for the ac

olga_2 [115]

It will take 19 years and 6 months for the account value to reach 2900 dollars

Step-by-step explanation:

Given

Principal amount = 1400 dollars

Rate = 5.5 %

Final value = A = 2900

We have to find t

So,

The formula for simple interest is:

$A = P(1+rt)$

Putting values

$2900 = 1400(1+0.055.t)\\\frac{2900}[1400} = 1+0.055t\\2.071 = 1+0.055t\\2.071-1=0.055t\\1.071 =0.055t$

Dividing both sides by 0.055

$\frac{0.055t}{0.055} = \frac{1.071}{0.055}\\t = 19.47\ years$

Rounding off to nearest tenth

19.5 years

Hence,

It will take 19 years and 6 months for the account value to reach 2900 dollars

Keywords: Interest, simple interest

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