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Arisa [49]
3 years ago
15

The equation B = 1400(1.05)^5 is being used to calculate the amount of money in a savings

Mathematics
1 answer:
marishachu [46]3 years ago
6 0
<h3>Answer:  5% growth (fourth choice)</h3>

the base of the exponent 1.05 is in the form 1+r

1+r = 1.05 which solves to r = 0.05 when we subtract 1 from both sides

Since r is positive, it represents growth.

0.05 = 5/100 = 5%

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Stock worth $80 a share dropped in value by 15% on Tuesday, then increased by $7 the next Wednesday and, finally, increased by 1
Nutka1998 [239]
<h2>Steps</h2>

So here are a couple expressions when a value changes by percentage (p = percentage in decimal form and m = original value):

  • When <em>decrease</em>: (1 - p)m
  • When <em>increase</em>: (1 + p)m

So firstly, the $80 share dropped by 15%. Since this is a <em>decrease</em>, follow the appropriate expression:

15\%=0.15\\\\(1-0.15)*80\\0.85*80\\68

<em>On Tuesday, the share went from $80 to $68</em>

Next, on Wednesday the share increased by $7. With this, just add $68 and 7.

68+7=75

<em>On Wednesday, the share went from $68 to $75</em>

Lastly, on Thursday the share increased by 12%. Since this is an <em>increase</em>, follow the appropriate expression:

12\%=0.12\\\\(1+0.12)*75\\1.12*75\\84

<h2>Answer</h2>

<u>The final price of the share is $84.</u>

7 0
3 years ago
There are 14 students in an art class. Mr.
Alexus [3.1K]
You take the number of the colored pencils and divides it with the people in the class.

350/14 = 25
4 0
3 years ago
Simplify the expression. Write the answer using scientific notation.
Neko [114]
We are given with two distances: 5,880,000,000,000 miles and 15.8 light-years. we convert first the light-years distance through the speed of light : 3 x 108 m/s. v = d/t; d = 3x10 8 m/s * 15.8 light years * 31536000 s = 1.4948 x1017 m = 9.28829 x 1013 miles. The difference thus is 8.70029 x 1013 miles
8 0
3 years ago
What is the value of x? 27(x+4)=−6
jonny [76]
First you need to use the distributive property:   27(x+4)=-6 
                                                                              27x+108=-6
then you need to subtract 108 from -6 to
get x alone.                                                           27x= 102

Lastly divide 102 by  27 to finally get x alone:      x=3.777

the answer would be: x= 3.77 or 3.8
5 0
3 years ago
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx
tester [92]

Answer:

b=-18

Step-by-step explanation:

If a line that passes through the point P(x_o,y_o)and it has slope m, the equation of the line is:

y-y_o=m(x-x_o)~=>y=mx+y_o-mx_o~=>b=y_o-mx_o\\\\b=-6-4(3)=-18

4 0
2 years ago
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