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Mathematics

1 answer:

djyliett [7]4 years ago

5 0

Answer:

t(x)=28

none

Step-by-step explanation:

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Alex invests £3045 into an account that pays 2.25% compound interest per year.

Inessa [10]

<h2>○=> <u>Correct answer</u> :</h2>

Money in Alex's account after 16 years = $\boxed{\bold{\color{plum}£4347.11}}$

<h3>○=> <u>Steps to derive correct answer</u> :</h3>

Money invested by Alex = £3045

Percentage of compound interest per annum = 2.25%

We know that :

$\tt \: \color{hotpink}A \color{plum} = P {(1 + \frac{r}{n} )}^{nt}$

In this case :

Principal = £3045

Rate = 2.25% = 0.0025

Number of times interest is compounded per year = 1

Time = 16 years

Which means :

Money Alex will have in the account after 16 years :

$= \tt3045 ({1 + \frac{ 0.0025}{1} })^{16}$

$\color{plum}= \tt £4347.11$

Therefore, the money in Alex's account after 16 years = £4347.11

8 0

3 years ago

What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−23x+5

elena-s [515]

Answer:

$y-1=\frac{1}{23} (x-8)$

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation y=-23x+5. We will chose point-slope since we have a point and slope.

Point slope: $y-y_1=m(x-x_1)$

$m\neq -23$ in our new equation because it us perpendicular to it. This means we will need to change it into its negative reciprocal which is $m=\frac{1}{23}$ .