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boyakko [2]
3 years ago
5

Katherine lives (1 x 100) + (2 x 1) + (8 x 1/10 ) + (4 x 1/100 ) miles away from her grandma. Which number represents the distan

ce in base-ten numeral?
120.84
102.84
1.084
121.24
Mathematics
2 answers:
miskamm [114]3 years ago
5 0
The answer is 102.84
vovikov84 [41]3 years ago
5 0

Answer:

121.24

Step-by-step explanation:

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Heather makes $6.50 per hour. Every three months, she is eligible for a 2% raise. How much will she make after 2 years if she ge
sammy [17]

Answer:

$7.62 per hour


Step-by-step explanation:

Since, Heather gets a raise every 3 months, in 2 years, she will get a raise 8 times (2years = 24 months, 24 divided by 3 is 8).

Now it becomes a compound growth problem. We can use the formula shown below to solve these type of problems.

F=P(1+r)^t

Where,

  • F is the future value (what we want to find)
  • P is the present rate ($6.5)
  • r is the rate of growth, in decimal (2% growth means 0.02)
  • t is the time frame, number of times compounding occurs (for our case we have figured it to be 8)

<u>Now plugging in all the info, we get the value of F:</u>

F=P(1+r)^t\\F=6.5(1+0.02)^8\\F=6.5(1.02)^8\\F=7.62


Thus, after 2 years, Heather's hourly rate will be $7.62


7 0
3 years ago
The functions x) and g(x) are shown on the graph.<br>f(x) = x2<br>What is g(x)?​
Nadya [2.5K]

Answer:

C. g(x) = 4x²  

Step-by-step explanation:

The general equation for a parabola is  

y = ax² + bx +c  

Since ƒ(x) = x², a=1, b =0, c =0

For g(x), the vertex is still at  the origin, so

g(x) = ax²

The graph passes through (1,4).

Insert the coordinates of the point.

4 = a(1)²

a = 4

g(x) = 4x²

The figure below shows that the graph of g(x) = 4x² passes through the point (1, 4).

6 0
3 years ago
How many times larger is 8*10^6 than 2*10^2
bogdanovich [222]
The first step for solving this question is put both of your given expressions into one and then subtract them. This will look like the following:
8 × 10^{6} - 2 × 10²]
Now to make the calculation easier,, factor the expression.
(8 × 10^{4} - 2) × 10²
Evaluate the power inside the parenthesis.
(8 × 10000 - 2) × 10²
Evaluate the power outside the parenthesis.
(8 × 10000 - 2) × 100
Multiply the numbers inside the parenthesis.
(80000 - 2) × 100
Subtract the numbers in the parenthesis.
79998 × 100
Lastly,, multiply the numbers together to get your final answer.
7999800
This means that 8 × 10^{6} is 7999800 times larger than 2 × 10².
Let me know if you have any further questions.
:)
8 0
3 years ago
Please somebody help need an answer
levacccp [35]
6= 4(z+9)/y+2
6y +12 =4(z+9)
6y=4(z+9) -12
y=(4(z+9)-12)/6
y=2z+18-6/3
y=2z+12 /3
4 0
3 years ago
Ratios that are equivalent to 25%
Nataliya [291]
Percent means parts ot of 100
25%=25/100=1/4
ratio is 1:4 or 2:8 or 6:12
4 0
3 years ago
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