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2 years ago

Which phrase best describes the translation from the graph y = (x + 2)2 to the graph of y = x2 + 3?

Mathematics

1 answer:

alina1380 [7]2 years ago

4 0

Answer: O 2 units left and 3 units down

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In 2 years, you want to have $5000 in your savings account. Find the amount you should deposit if the account pays 3% annual int

muminat

The amount you should deposit is $4709.18

Step-by-step explanation:

The formula for compound interest, including principal sum is

$A=P(1+\frac{r}{n})^{nt}$ , where:

A is the future value of the investment/loan, including interest
P is the principal investment amount
r is the annual interest rate in decimal
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

∵ You want to have $5000 in your savings account in 2 years

∴ A = 5000

∴ t = 2

∵ The account pays 3% annual interest, compounded monthly

∴ r = 3% = 3 ÷ 100 = 0.03

∴ n = 12 ⇒ compounded monthly

- Substitute these values in the formula above

∴ $5000=P(1+\frac{0.03}{12})^{(12)(2)}$

∴ $5000=P(1+0.0025)^{24}$

∴ $5000=P(1.0025)^{24}$

- Divide both sides by $(1.0025)^{24}$

∴ P = 4709.18

The amount you should deposit is $4709.18

Learn more:

You can learn more about the compounded interest in brainly.com/question/2514241

#LearnwithBrainly

3 0

3 years ago

Vector v has a direction of (5,3) find the direction angle for v to the nearest degree

Vesnalui [34]

Answer:

$31^{\circ}$

Step-by-step explanation:

We have been given that vector v has a direction of (5,3). We are asked to find direction angle for v to nearest degree.

We know that direction of vector with components $(a,b)$ can be determined by $\theta=\text{tan}^{-1}(\frac{b}{a})$ .

Upon substituting the components of given vector in above formula, we will get:

$\theta=\text{tan}^{-1}(\frac{3}{5})$

$\theta=30.9637565^{\circ}$

Upon rounding to nearest degree, we will get:

$\theta\approx 31^{\circ}$

Therefore, the direction angle for vector v is 31 degrees.

3 0

3 years ago

Jordan will hike a 10 mile trail at a rate of 2 mi/h. Write a linear equation to represent the distance of the trail that Jordan

Lesechka [4]

Answer:

y = 10 -2x; 10 is the length of the trail

Step-by-step explanation:

Jordan's remaining distance starts at 10 miles, and decreases 2 miles each hour:

y = -2x +10

The y-intercept is the length of the trail.

7 0

2 years ago

PLEASE HELP ASAP

Nikitich [7]

10 x 10 x 10 = $10^{3}$

4 0

3 years ago

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6 grade math problem

lesya [120]

Answer:

Step-by-step explanation:

8 0

2 years ago