Maria invested $450 in a savings account and earned $126 in interest at the end of 7 years.What was the interest rate?

A.
3.5%

B.
4%

C.
4.5%

D.
5%

Answers

Answer 1
Answer: The interest rate is B. 4%

Given:
Principal = 450
Interest = 126
term = 7 
rate = ?

Simple Interest is computed by multiplying the Principal, rate, and term.

Interest = P × r × t

126 = 450 × r × 7
126 = 3150r
r = 126/3150
r = 0.04 x 100% = 4%

To check:

I = 450 
× 0.04 x 7
I = 18 × 7
I = 126

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Multiply the following using the vertical multiplication method:3x^2+5x+1* x^2-2x+4_________A. 3x^4-x^3+3x^2+x+4B. 3x^4+5x^3+10x^2+18x+4C. 3x^4-x^3+3x^2+18x+4D. 3x^4+x^3+x^2+x+4
At Raging River Sports, polyester-fill sleeping bags sell for $79. Down-fill sleeping bags sell for $149. In one week the store sold 14 sleeping bags for $1456.A.Let x represent the number of polyester-fill bags sold and let y represent the number of down-fill bags sold. Write a system of equations you can solve to find the number of each type sold. B.Explain how you can solve the system for y by multiplying and subtracting. C.Explain how you can solve the system for y using substitution. D.How many of each type of bag were sold?

There were 75 rocks is Boxes A,B, and C. After moving 28 rocks fro Box A to B, 24 rocks from B to C, and 19 rocks from C to A,there was an equal number of rocks in each box. How many rocks were in Box A in the beginning?

Answers

I actually did this kind of question earlier today in a math contest. It took me a while to get it, but it was quite easy. 

So we basically know that: 

A+B+C=75 

Now here comes the tricky part. We have to determine how many rocks there are in each box. 

The easy thing about this is that we already know what will be in the boxes after the movements. It's just 75÷3

So now we know, that after the movements, each of the boxes will contain 12. 

Lets do the operations on the boxes. 

A-28+19=25
B-24+28=25
C-19+24=25 

And we find that:

A=34
B=21
C=20 

And from that, we get: 

A=34 

Hope that helped! Enjoy.

~Cam943, Junior Moderator

30 less than 4 times a number is equal to 14

Answers

30 less than means -30
4 times a number means 4 times x or 4x
equal means =
14 is 14

-30+4x=14
add 30 boths ides
30-30+4x=14+30
0+4x=44
4x=44
divid by 4
4/4x=44/4
1x=11
x=11
4x-30=14
+30 +30
_________
4x=44
---- -----
4 4
x=11

I think but don't kill me if it's wrong

In a normal distribution, a data value located 0.8 standard deviations below the mean has Standard Score: z = In a normal distribution, a data value located 2.4 standard deviations above the mean has Standard Score: z =

In a normal distribution, the mean has Standard Score: z =

Answers

Using the normal distribution, it is found that the z-scores are:

1) z = -0.8

2) z = 2.4

3) z = 0

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = (X - \mu)/(\sigma)

  • It measures how many standard deviations the measure is from the mean, either above the mean(positive z-score), or below(negative z-score).

Item 1:

0.8 standard deviations below the mean, hence z = -0.8.

Item 2:

2.4 standard deviations above the mean, hence z = 2.4.

Item 3:

The mean is 0 standard deviations from itself, hence z = 0.

A similar problem is given at brainly.com/question/24663213

Final answer:

A standard score (z-score) signifies how many standard deviations a data point is away from the mean. A data value 0.8 standard deviations below the mean has a z-score of -0.8, meanwhile, if it is 2.4 standard deviations above the mean, its z-score is 2.4. The mean in a normal distribution has a z-score of 0.

Explanation:

In the field of statistics, a standard score (also known as a z-score) represents how many standard deviations an element is from the mean. In a normal distribution, a data value located 0.8 standard deviations below the mean has a Standard Score: z = -0.8. This is because the z-score is negative when the data value is below the mean. Conversely, a data value located 2.4 standard deviations above the mean has a Standard Score: z = 2.4. As the data value is above the mean, the z-score is positive. Finally, for the mean value itself in a normal distribution, the Standard Score: z = 0 because the mean value is the center of distribution, hence no deviation from itself.

Learn more about Standard Score here:

brainly.com/question/24210074

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7/12 - 3/8=? Please help if you can also if you could give me a few tips tricks and pointers on adding and subtracted fractions that would be amazing thanks again!

Answers

So basically when you are adding or subtracting fractions the denominators the number on the bottom of the fraction 12 in this case and 8 as well the two denominators sharing the least common multiple so what is the lowest multiple of 12 and 8 so count off 12: 12, 24, 36... 8: 8, 16 , 24 does that help?
I get the whole trouble with fractions thing let me see if I can help! 

so, 7/12 - 3/8 first you will always want to make the denominators even or the bottom #'s so to do that you have to find the GCD or greatest common denominator. Which would be 24. then you would have to do to the top what you did to the bottom by multiplying the top #'s by 2 for the first fraction (7/12) and then 3 for the denominator. now you just subtract the top numbers as if there wasn't even a fraction there. The bottom # doesn't change ever until you can simplify at the very end when you actually have an answer. so the answer would be 5/24 and that is as simplified as you can get it.

You take a bike trip along a local trail, covering 32 miles in 2.5 hours. About what rate do you travel on your bike?

Answers

how       hours
many       he            answer
miles       ride          
32      /     2.5     =     12.8
12.8 because all you need to do is divide those two numbers

What is the number 2,305,012 written in expanded notation?

Answers

The expanded form of that number is 2,000,000 + 300,000 + 5,000 + 10 + 2.
2,000,000 + 300,000 + 5,000 + 10 + 2 = 2,305,012

I hope that this helped you :3