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lubasha [3.4K]
3 years ago
5

What is the value of cos (120 degrees)? a. 5.0 b. 8.7 c. -1.7 d. -0.5

Mathematics
1 answer:
max2010maxim [7]3 years ago
6 0

Answer:

b. 8.7

Step-by-step explanation:

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A Roth IRA is advertised to pay 1.5% annual interest. You researched the rate of inflation to be 1.15% this year. What is the ac
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Answer: 0.35%

Step-by-step explanation:

Given the following :

Advertised interest rate = nominal rate = 1.5%

Inflation rate = 1.15%

The real rate of return is calculated by:

[(1 + nominal rate) / ( 1 + inflation rate)] - 1

[(1 + (1.5/100)) / (1 + (1.15/100))] - 1

[(1 + 0.015) / ( 1 + 0.0115)] - 1

[ 1.015 / 1.0115] - 1

1.0034602 - 1 = 0.0034602

Real rate of return = (0.0034602 * 100)%

Real rate of return = 0.346%

3 0
3 years ago
Find the 8th term in the expansion (x + 3y)2
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Answer:

Find the 8th term of the expansion of the binomial (2x - y) 14 Find the third term of expansion of the binomial (x + 3y) 10 Back to the Sequences and Series Home Page. Back to the Intermediate Algebra (Math 154)

Step-by-step explanation:

8 0
3 years ago
Which of the following statements is true about the sum of a rational and an irrational number?
Alla [95]
The answer is C hope this help
6 0
3 years ago
What is the function that is represented by the graph shown:
fomenos

Answer:

I believe its the second one

5 0
3 years ago
Write the function f(x) = -4x2 + 24x - 42 in vertex form, and identify its vertex.
Vlad [161]

<u>ANSWER</u>


The vertex form is f(x)=-4(x-3)^2-6



<u>EXPLANATION</u>


We use completing squares


f(x)=-4x^2+24x-42


We factor -4 out of the first two terms


f(x)=-4(x^2-6x)-42

We add and subtract -4(-3)^2, that is coming from, (\frac{b}{2a})^2.


f(x)=-4(x^2-6x)+ -4(-3)^2--4(-3)^2-42

f(x)=-4(x^2-6x+(-3)^2)--4(-3)^2-42


The expression in the first parenthesis is now a perfect square.

f(x)=-4(x-3)^2+36-42


f(x)=-4(x-3)^2-6

The function is now in the form,

f(x)=a(x-h)^2+k, where V(h,k) is the vertex



Hence the vertex is(3,-6)






6 0
3 years ago
Read 2 more answers
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