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2 years ago

Which function is equivalent to y = 3(x + 2)2 + 7 ?

Mathematics

2 answers:

RSB [31]2 years ago

6 0

Answer:

y equals 3xexponent plus 19

stepladder [879]2 years ago

4 0

Answer:

Step-by-step explanation:

Assuming the "2" after the "(x+2) is a square, the answer would be 3x^2+13x+19.

$(x+2)^2=x^2+4x+4\\3(x^2+4x+4)=3x^2+12x+12\\3x^2+12x+12+7=3x^2+12x+19$

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1. A retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest compounded monthly. What will the a

Rudik [331]

Answer:

Part A) $\$42,888.48$

Part B) $A=\$22,304$

Part C) The graph in the attached figure

Step-by-step explanation:

Part A) What will the account be worth in 20 years?

we know that

The compound interest formula is equal to

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

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=20\ years\\ P=\$8,500\\ r=0.0812\\n=12$

substitute in the formula above

$A=8,500(1+\frac{0.0812}{12})^{12*20}$

$A=8,500(1.0068)^{240}$

$A=\$42,888.48$

Part B) What if the deposit were compounded monthly with simple interest?

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=20\ years\\ P=\$8,500\\r=0.0812$

substitute in the formula above

$A=8,500(1+0.0812*20)$

$A=\$22,304$

Part C) Could you see the situation in a graph? From what point one is better than the other?

Convert the equations in function notation

$A(t)=8,500(1.0068)^{12t}$ ------> equation A

$A(t)=8,500(1+0.0812t)$ -----> equation B

using a graphing tool

see the attached figure

Observing the graph, from the second year approximately the monthly compound interest is better than the simple interest.

5 0

3 years ago

Suppose you invest $16000 at 9% interest and that it is compounded daily. How much will you have in 8 years?

kramer

Answer:

The amount after 8 years is $ 16,031.579

Step-by-step explanation:

Given as :

The Principal invested = $ 16000

The rate of interest compounded daily = 9 %

The time period = 8 years

Let The amount after 8 years = $ A

<u>From Compounded method </u>

Amount = Principal invested × $(1+\dfrac{\textrm Rate}{365\times 100})^{365\times \textrm Time}$

Or, Amount = 16000 × $(1+\dfrac{\textrm 9}{365\times 100})^{365\times \textrm 8}$

Or, Amount = 16000 × $(1.0002465)^{8}$

∴ Amount = $ 16,031.579

Hence The amount after 8 years is $ 16,031.579 Answer

4 0

3 years ago

Is negative 12 a rational number or is it a integer

Dovator [93]

-12 is an integer because all fractions are rational numbers.

8 0

2 years ago

Read 2 more answers

How many days will it take Yertle the Turtle to climb out of the bottom of a 15-feet deep well if he climbs up 2 1/2 feet each d

sergiy2304 [10]

Answer:

It will take him 7 ½ days.

Step-by-step explanation:

He goes up 2 ½ but falls back down ½ so you take the two and do 15/2 and get 7.5 which is 7 ½ days.

4 0

3 years ago

The translation that moves a figure down 4, to the right 2 is

lorasvet [3.4K]

I think it is the 3 on

6 0

2 years ago