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slega [8]
3 years ago
7

The function g(x) = 2^x. the function f(x) = 2^x+k and k< 0. which of the following statements is true.

Mathematics
2 answers:
Margaret [11]3 years ago
7 0
I believed the answer is d
larisa [96]3 years ago
4 0

Answer:

g and b

Step-by-step explanation:

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Two investments totaling $21,000 produce an annual income of $870. One investment yields 4% per year, while the other yields 10%
Citrus2011 [14]

Answer:

The amount invested at 4% is $20,500 and the amount invested at 10% is $500

Step-by-step explanation:

Let

x -----> the amount invested at 4%

(21,000 -x) ----> the amount invested at 10%

we know that

The interest of the amount invested at 4% plus the interest of the amount invested at 10% must be equal to $870

4\%=4/100=0.04

10\%=10/100=0.10

so

0.04(x)+0.10(21,000-x)=870

Solve for x

0.04x+2,100-0.10x=870

0.10x-0.04x=2,100-870

0.06x=1,230

x=\$20,500

21,000-x=\$500

therefore

The amount invested at 4% is $20,500 and the amount invested at 10% is $500

7 0
3 years ago
What can be used as a reason in a two-column proof?
erik [133]
Two column proofs are organized into statement and reason columns. Each statement must be justified in the reason column. The reason column will typically include "given", vocabulary definitions, and theorems.

Therefore, w<span>hat can be used as a reason in a two-column proof are:

Postulates

Definitions</span>
8 0
3 years ago
Read 2 more answers
Angela and Neil are going to the movies. They each bought a medium popcorn, and Neil got a small soft drink. Angela had a $5 gif
bagirrra123 [75]
Let us assume the cost of a soft drink = x dollars
Value of the gift certificate that Angela had = $5
Cost of the movie ticket = $10
Cost of a medium popcorn = $5.50
Then
27.90 + 5 = 2(10) + 2(5.50) + x
32.90 = 20 + 11 + x
32.90 = 31 + x
x = 1.90 dollars

From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the first option or $1.90.
6 0
3 years ago
. Simplify an expression for the area of the rectangle shown above
mel-nik [20]
8x+3x5=66 there you go
3 0
3 years ago
Please answer the following:
konstantin123 [22]

Answer:

26 1/2

Step-by-step explanation:

convert 4 5/12 into 53/12

multiply 53/12 by 6 to get 53/2

turn 53/2 into a mixed number = 26 1/2

3 0
3 years ago
Read 2 more answers
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