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3 years ago

Find f(0) and then find the equation of the given linear function.

Mathematics

1 answer:

Lana71 [14]3 years ago

6 0

Answer:

f(0) = 2

f(x) = 4x + 2

Step-by-step explanation:

You can see that the consecutive x-values are producing y-values that increase by 4 each time. Since the change in y is the same every time, we know this is a linear graph because in a continuous linear graph the slope does not change.

We can use the equation for a line: y = mx + b,

where m is the slope and b is the y-intercept.

The slope [m] is calculated by [change in y]/[change in x]. The y-values are increasing by 4 each time x increases by 1. m = 4/1 = 4.

Once we have found the slope, we can find the value for f(0). The line graph has a positive slope, so to find the value at x=0, we would subtract 4, moving backwards along the line.

6-4 = 2

The y-intercept on a line is the y-value for which x = 0. In this case we have already solved for the y-intercept, f(0) = 2.

Now plug the values into the formula.

y = mx + b

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2 years ago

What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the initial deposit is

motikmotik

The amount will be equal to $1348.07. The correct option is A.

<h3>What is compound interest?</h3>

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

$\rm A = P(1+\dfrac{r}{n})^{nt}$

Compound Interest Formula:

A = Account Balance

P = Principle/Initial Amount

r = Rate of Interest (decimal)

n = Number of times compounded (per year)

t = Number of Years

Given Information

Account Balance = ?

It is given that the balance after 15 years in a savings account earns 2% interest compounded bi-monthly when the initial deposit is 1000.

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

Number of years = 15

Solve by plugging the given values into the formula.

$\rm A = P(1+\dfrac{r}{n})^{nt}$

$\rm A = 1000(1+\dfrac{0.02}{6})^{6 \times 15}$

A = 1000 x (1.14)

A = $1348.07.

Therefore, the amount will be equal to $1348.07. The correct option is A.

To know more about Compound interest follow

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2 years ago

Which of the following functions gives the length of the base edge, aly, of a right square pyramid that is 8 inches tall as a fu

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I think it is a not to a sure

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3 years ago

In ΔABC, m∠ACB = 90°, CD ⊥ AB and m∠ACD = 45°. Find: CD, if BC = 3 in

IRISSAK [1]

We can find m∠BCD like follows: m∠BCD=90°-45°=45<span>°
Now, m</span><span>∠DBC= 180°-(90°+45°)=45°

Remember that </span> $sin \alpha = \frac{opposite leg}{hypotenuse}$ , so $oppositeleg=(hypotenuse)(sin \alpha )$

We know that hypotenuse= BC= 3in and $\alpha$ =∠DBC)=45°, so replacing the values we get:
$CD=3sin(45)=2.12$

We can conclude that the segment CD is 2.12 in

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3 years ago

Read 2 more answers

Slope form m=-3 (-2,1)

Hunter-Best [27]

Answer:

y = -3x - 5

Step-by-step explanation:

y - 1 = -3 (x + 2)

y - 1 = -3x - 6

y = -3x -5

7 0

3 years ago