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mixas84 [53]
2 years ago
11

A man received 7 per cent interest on a loan of $800 for one year. How much interest did he receive? A.) $56 B.) $560 C.) $780 D

.) $870 D.) None of these​
Mathematics
1 answer:
sasho [114]2 years ago
4 0

Answer:

A.) $56

Step-by-step explanation:

1.  Convert 7% into the numerical version by either

    A. Moving the decimal two spaces to the right, giving us .07

                                               or

    B. Making 7% into a fraction, 7/100

2. Now make an equation with the total amount of money (M) multiplied by the interest (P) inside of parenthesis. This will give us 7% of $800 in your case.

                                        (800 × .07) → 56

3.  Then, multiply by the number of years the interest has been accumulated.

                                              56 × 1

The official equation for this is: a = p(1 + r)^t

a = amount at end (initial amount + interest gained)

p = initial amount

r = rate (percent interest)

t = time in years

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PL has endpoints P(4, −6) and L(−2, 1). The segment is translated using the mapping (x, y) → (x 5, y). What are the coordinates
cestrela7 [59]

The coordinates of P' is (9, -6) and L' is (3, -1).

<h2>Given that</h2>

PL has endpoints P(4, −6) and L(−2, 1).

The segment is translated using the mapping (x, y) → (x + 5, y).

<h3>We have to determine</h3>

What are the coordinates of P’ and L’?

<h3>According to the question</h3>

PL has endpoints P(4, −6) and L(−2, 1).

The segment is translated using the mapping (x, y) → (x + 5, y).

The coordinates of point P after translation using mapping is,

\rm P(x, \ y) - P'(x+5, y)\\&#10;\\&#10;P(4, -6) - P'(4+5, \ -6)\\&#10;\\&#10;P(4, -6) - P'(9, -6)\\

And the coordinates of point L after translation using mapping is,

\rm L(x, \ y) - L'(x+5, y)\\\\L(-2, 1) - L'(-2+5, \ -1)\\\\L(4, -6) - L'(3, -1)\\

Hence, The coordinates of P' is (9, -6) and L' is (3, -1).

To know more about Translation click the link given below.

brainly.com/question/26298109

8 0
2 years ago
Read 2 more answers
Vail Resorts pays part-time seasonal employees at ski resorts on an hourly basis. At a certain mountain, the hourly rates have a
notsponge [240]

Answer:

z=0.842

And if we solve for a we got

\mu=13.16 +0.842*3=15.69

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the hourly rates of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,3)  

For this part we want to find a value a, such that we satisfy this condition:

P(X>13.16)=0.20   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.80 of the area on the left and 0.20 of the area on the right it's z=0.842. On this case P(Z<0.842)=0.8 and P(z>0.842)=0.20

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.842

And if we solve for a we got

\mu=13.16 +0.842*3=15.69

3 0
2 years ago
What's 8.23+10.9 simplified
ladessa [460]
8.23+10.9= 19.13

~Hope this helped!~

6 0
3 years ago
there are 104 red candies in a candy machine. this represents 26% of the candy in the machine. how many total are in the candy m
Alborosie

There are 400 candies in the machine.

Step-by-step explanation:

Given,

Number of red candies in machine = 104

This represents 26% of the total candies.

Let,

x be the total candies in the machine.

According to statement;

26% of x = 104

\frac{26}{100}*x=104\\0.26x=104

Dividing both sides by 0.26

\frac{0.26x}{0.26}=\frac{104}{0.26}\\x=400

There are 400 candies in the machine.

Keywords: percentage, division

Learn more about percentages at:

  • brainly.com/question/317697
  • brainly.com/question/317616

#LearnwithBrainly

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How many inches did the height of the plant increase between weeks 3 and 4
Allisa [31]
It increased a total of 4 inches.
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