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valentinak56 [21]
4 years ago
7

Can someone answer this, please? I need a bit of help on this

Mathematics
1 answer:
Aneli [31]4 years ago
8 0

Answer:

x=0 or f square root of 3f/9 or -f square root of 3f/9

Step-by-step explanation:

the steps are very long but I'm pretty sure it's correct

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You wish to make an
Leokris [45]

Using the interest formulas, it is found that the values of the investment are given as follows:

  • Using simple interest, the value will be of $34,000.
  • Using compound interest, the value will be of $144,461.
  • Using continuous compounding, the value will be of $148,002.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = P(1 + rt)

In which:

  • P is the initial amount.
  • r is the interest rate, as a decimal.

In this problem, we have that the parameters are as follows:

P = 9000, r = 0.07, t = 40.

Hence:

A(t) = 9000(1 + 0.07 x 40) = 34200

<h3>Compound interest</h3>

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

n is the number of compounding, for quarterly n = 4, then:

A(t) = 9000\left(1 + \frac{0.07}{4}\right)^{4 \times 40}

A(t) = 144461

<h3>Continuous compounding</h3>

A(t) = Pe^{rt}

Hence:

A(t) = 9000e^{0.07 \times 40} = 148002

More can be learned about the interest formulas at brainly.com/question/25296782

#SPJ1

7 0
2 years ago
the 43rd term of an arithmetic sequence is -671 and the 52nd term is -806. find the first term and the common difference.
Bond [772]

Answer:

First term = -41.

Common difference = -15.

Step-by-step explanation:

nth term: an = a1 + (n - 1)d  where a = first term and d = the common difference.

-671 = a1 + (43 - 1)d

-806 = a1 +(52 - 1)d

-671  = a1 + 42d

-806 = a1 + 51d

Subtracting ( to eliminate a1):

-671 - (-806) = 42d - 51d

-9d =  135

d = -15

Substitute for d in the first equation:

-671 = a1 + 42*-15

-671 = a1 - 630

a1 = -671 + 630 = -41.

3 0
3 years ago
721 lbs per week to kg per second please show work
Oduvanchick [21]

Answer: Hi!  So, 1 lbs per week are equal to 7.4999e-7 kilograms per second. We can use this to convert lbs per week to kg per second. 721 x 7.4999e-7 = 0.000540741!

8 0
2 years ago
Samantha is wrapping a present for her friend's birthday. The length of the box is 12 inches, width is 7 inches, and the height
loris [4]

Answer:

358 inches^2

Step-by-step explanation:

SA = 2(lw + lh + wh)

SA = 2 (12*7 + 12*5 + 7*5)

SA = 358

Hope this is helpful !!!!!

4 0
4 years ago
-12=-2(2-8) <br> Is it true false or an open sentence
MissTica
The statement is false because when you use distributive property, you get -12=-4+16 and when you add 16 to -4, you'll get 12, not -12, making the statement false.
7 0
3 years ago
Read 2 more answers
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