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podryga [215]
2 years ago
3

A company with $60,000 in sales last year had $69,000 in sales this year. Assuming the company's sales continue to grow at the s

ame rate each year, what will the annual sales be two years from now?
 A. $74,000 B. $82,505 C. $79,350 D. $91,253
Mathematics
1 answer:
Morgarella [4.7K]2 years ago
6 0

The easiest method for me when solving percentages is to always find 10% of the number first. This is easy because you just move the decimal to the left once. This means that 10% of $60,000 is $6,000.

Now if you want to find 5% just divide the number that was 10% in half (because half of 10% is 5%). So this gives us that 5% is $3,000.

If we want 15% we simply add these numbers (10%+5%=15%) and we get $9,000. This means that the company's sales grew 15% in one year and $60,000 + $9,000 = $69,000.

But the question is stating that the "company's sales continue to grow at the same rate each year" so we need to find 15% of the new value every time. This means that we need to find 15% of $69,000.

We do the same and start with 10% giving us $6,900. We then find

5% = $3,450 . And then we add the two giving us $10,350.

Don't forget to add this to what we already had because this is just the gain in the second year and your final answer should be $79,350.

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A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side. Find the lengths of the median o
nexus9112 [7]

Answer:

5/2units\\.

\sqrt{47/2}units \\.

\sqrt{41/2}units\\.

Step-by-step explanation:

The given points are A(1,2,3), B(-2,0,5) and C(4,1,5). The triangle is represented in the attach file where the three possible median are length AE, BF, and CD. We determine the coordinate of point D,E and F using the midpoint equation which is for any point A(x,y,z) and point B(a,b,c), the midpoint D is determine by

D=(\frac{x+a}{2},\frac{y+b}{2},\frac{z+c}{2})\\.

Hence going by the above formula we determine the coordinate of point D,E and F

D=(\frac{-2+1}{2},\frac{0+2}{2},\frac{5+3}{2})\\.

D=(\frac{-1}{2},1,4)\\.

point E

E=(\frac{4-2}{2},\frac{1+0}{2},\frac{5+5}{2})\\.

E=(1,\frac{1}{2},5)\\.

Point F

F=(\frac{4+1}{2},\frac{1+2}{2},\frac{5+3}{2})\\.

F=(\frac{5}{2},\frac{3}{2},4)\\.

To determine the length of each median line we use the formula for distance between two points which is express as

AB=\sqrt{(y_{2}-y_{1} )^{2} +(x_{2}-x_{1} )^{2}+(z_{2}-z_{1} )^{2}} \\.

Using the above formula we determine the length of line AE,BF and CD.

AE=\sqrt{(1-1 )^{2} +(1/2-2)^{2}+(5-3 )^{2}} \\.

AE=\sqrt{0 +9/4+4} \\.

AE=\sqrt{25/4} \\.

AE=5/2units\\.

For point BF

BF=\sqrt{(5/2+2 )^{2} +(3/2-0)^{2}+(4-5 )^{2}}\\.

BF=\sqrt{81/4 +9/4+1} \\.

BF=\sqrt{47/2} \\.

BF=\sqrt{47/2}units \\.

For point CD

CD=\sqrt{(-1/2-4 )^{2} +(1-1)^{2}+(4-5 )^{2}}\\.

BF=\sqrt{81/4 +0+1} \\.

BF=\sqrt{41/2} \\.

BF=\sqrt{41/2}units\\.

7 0
2 years ago
Percy buys tomatoes that cost $0.58 per pound he pays $2.03 for the tomatoes how many pounds of tomatoes does he buy show your w
dlinn [17]

Answer: 3.5 pounds


Step-by-step explanation:

Cost of 1 pound of tomatoes= $0.58

Thus, to find the quantity of tomatoes Percy bought in $2.03, we need to divide $2.03 by $0.58

⇒ The quantity of tomatoes he bought=\frac{\$2.03}{\$0.58}=\frac{203}{58}=\frac{35}{10}=3.5

⇒The quantity of tomatoes he bought = 3.5 pounds

Therefore, Percy bought 3.5 pounds of tomatoes .

7 0
2 years ago
Read 2 more answers
For each of the three ionic compounds, select which main group X belongs to. a.)X3PO4 b.)CaX2 c.)X2(SO4)3
harina [27]
A) First because it has a valency of +1

b) Seventh because it has a valency of -1

c) Third because it has a valency of +3
4 0
2 years ago
Sue played four games of golf for these games her modal score was 98 and her mean score was 100 her range of score was 10 what w
earnstyle [38]

Answer : Remaining two observation becomes 97 and 107.

Explanation :

Since we have given that

Mean = 100

Modal value = 98

Range = 10

As we know that ,

Range = Highest-Lowest

Let highest observation be x

Let lowest observation be y

So equation becomes x-y=10 ----equation 1

So, observation becomes

x,98,98,y

Now, we use the formula of mean i.e.

Mean = \frac{\text{Sum of observation}}{\text{N.of observaton}}

So, mean =\frac{x=98=98+y}{4}=400\\\frac{196+x+y}{4}=100\\x+y=400-196\\x-y=204

So our 2nd equation becomes

x+y=204

On using elimination method of system of linear equation on these two equation we get,

x=97

and

x+y=204\\y=204-x\\y=204-97\\y=107

Hence , remaining two observation becomes 97 and 107.

8 0
2 years ago
Ray LR is to be added to the diagram so that it is opposite
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Answer:

Your answer is A. Just took a online test

8 0
2 years ago
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