You have $1000 to invest in two different accounts. To save the money you need for college, you need to average 5.7 percent interest. If the two accounts pay 4 percent and 6 percent interest, how much should you invest in each account?$550 in 4%, $450 in 6%
$300 in 4%, $700 in 6%
$700 in 4%, $300 in 6%
$150 in 4%, $850 in 6%

Answers

Answer 1
Answer:

9514 1404 393

Answer:

  $150 in 4%, $850 in 6%

Step-by-step explanation:

The fraction that must earn the highest rate is ...

  (5.7 -4.0)/(6.0 -4.0) = 1.7/2 = 0.85

That is 0.85 × $1000 = $850 must be invested at 6%. Matches the last choice.

_____

If you let x represent the amount that must earn 6%, then the total interest earned must be ...

  x·6% +(1000 -x)·4% = 1000·5.7%

  x(6 -4) = 1000(5.7 -4) . . . . . . multiply by 100, subtract 4·1000

  x = 1000·(5.7 -4)/(6 -4) = 850 . . . . as above


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Which of the following is the general term for the sequence m, -m, m, -m, . . .? A. m(-1)^(n-1)
B. (-m)^n
C. (-1)m^(n + 1)
D. (-1)m^(n - 1)

Answers

Answer:

  A. m(-1)^(n-1)

Step-by-step explanation:

The degree of m doesn't change so none of the expressions with n as an exponent of m can possibly be correct. That leaves only choice A.

_____

You will find that when alternating signs are required, the term (-1)^n will be a factor. An offset of ±1 can be added to the n to make the initial sign be what you want. Here we want +1 for n=1, so an exponent of (n-1) is appropriate.

Final answer:

The general term for the sequence m, -m, m, -m, ... is m(-1)^(n-1). This is correct because -1 when raised to an odd power gives -1, and when raised to an even power gives 1, ensuring alternation between m and -m.

Explanation:

The question refers to a sequence where the terms alternate between positive and negative values of m. The general term that describes such a sequence is m(-1)^(n-1).

This term works because when raised to an odd power, -1 gives -1, and when raised to an even power, -1 gives 1. Thus, the expression alternates between m and -m for different values of n.

For instance, when n is 1, the term is m; when n is 2, the term is -m; when n is 3, the term is m; and so on. Therefore, the correct answer is option A: m(-1)^(n-1).

Learn more about Sequences here:

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Solve by graphing

y+5 = 2x
3y + 6x = -3

Answers

Answer:

(1, -3)

Step-by-step explanation:

Use Desmos! It's really useful.

What is the answer to the problem?

Answers

Answer:

a

Step-by-step explanation:

good luck :)

What are the new coordinates of the figure above if it is dilated by a scale factor of , with the origin as the center of dilation?

Answers

Answer:

could you show a picture and repost thx

Step-by-step explanation:

tammy is 5 years younger than doris . in 4 years doris will be twice as old as tammy. how old is tammy now ​

Answers

Answer:

Tammy is currently 1, and Doris is 6 in 4 years, Tammy will be 5 and Doris will be 10

Step-by-step explanation:

T=D-5

1+4=5

6+4=10

Veronique tried four different solutions to the matching problem shown. Which of her four answers would be thecorrect one?
Term
variable
Definition
a numerical factor of a term that has a
variable
a letter or symbol used to represent an
unknown quantity
a term without a variable
coefficient
constant
Definition
Term
a numerical factor of a term
that has a variable
variable
coefficient
a letter or symbol used to
represent an unknown quantity
a term without a variable
constant​

Answers

Answer:

the correct ansewer is C

Step-by-step explanation:

i took the unit test on edge the other guy is wrong