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
B. (-m)^n
C. (-1)m^(n + 1)
D. (-1)m^(n - 1)
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.
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.
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).
#SPJ12
y+5 = 2x
3y + 6x = -3
Answer:
(1, -3)
Step-by-step explanation:
Use Desmos! It's really useful.
Answer:
a
Step-by-step explanation:
good luck :)
Answer:
could you show a picture and repost thx
Step-by-step explanation:
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
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
Answer:
the correct ansewer is C
Step-by-step explanation:
i took the unit test on edge the other guy is wrong