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2 years ago

HALP ASAP !!! 10 POINTS

Mathematics

1 answer:

Art [367]2 years ago

5 0

Answer: a

reason:

if you take any of the numbers and plug it in it works

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Sally invests £8000 in a savings account. The account pays 2.8% compound interest per year work out the value of her investment

Alborosie

Answer: the value of her investment after 4 years is £8934.3

Step-by-step explanation:

The formula for determining compound interest is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount invested.

t represents the duration of the investment in years.

From the information given,

P = 8000

r = 2.8% = 2.8/100 = 0.028

n = 1 because it was compounded once in a year.

t = 4 years

Therefore,

A = 8000(1+0.028/1)^1 × 4

A = 8000(1+0.028)^4

A = 8000(1.028)^4

A = £8934.3 to the the nearest penny

6 0

3 years ago

Which relation is a function? Question 3 options: {(1, 2); (1, 3); (1, 4); (1, 5)} {(1, 2); (2, 3); (3, 4); (4, 5)} {(1, 2); (3,

NeTakaya

To be a function for every identical x value it has to have a different Y value. If the set has two identical X values but they have different Y values it can't be a function.

The set that is a function is:

{(1, 2); (2, 3); (3, 4); (4, 5)}

4 0

2 years ago

What two consecutive numbers whose squares differ by 17

Mamont248 [21]

The two numbers could be 8 and 9.
8×8=64 and 9×9=81.
81-64=17.

4 0

2 years ago

If AB=6, BC=4, and AE=9, find ED

elena-s [515]

It is 7 cuz u - 2 and add 5 and 2-6=4+5=9-2=7

7 0

2 years ago

For which value of c is the line y=3x+c a tangent to the parabola with equation y=x^2-5x+7

katrin2010 [14]

To give you a context on the problem, a tangent line is a line that intersects the parabola only at one single point. A parabola is a curve that forms an arc-shaped figure. A tangent line to a parabola is shown in the attached picture.

Now, we apply the concepts in calculus and analytical geometry. The first derivative of the equation is equal to the slope at the point of intersection. This slope must be equal to the slope of the tangent line.

y = x² - 5x + 7
dy/dx = slope = 2x -5

Since tangent lines must have the same slope with what they intersect with, we can determine the slope from the equation: y = 3x + c. This is already arranged in a slope-intercept form, where 3 is the slope and c is the y-intercept. So, we can equate the equation above to 3.

2x - 5 = 3
x = 4

Now, we substitute x=4 to the original equation of the parabola:
y = (4)² - 5(4) + 7
y = 3

Therefore, the point of intersection is at (4,3). Now, we use it to the equation of the tangent line to find c.

y = 3x + c
3 = 3(4) + c
c = -9

3 0

3 years ago