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Verizon [17]
3 years ago
15

2.105 x 10^6 in standard notation

Mathematics
1 answer:
damaskus [11]3 years ago
3 0

Answer:

I think it should be 2105000

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Country days scholarship rounds receive a gift of $135000. The money is invested in stock, bonds, and CDs. CDs pay 2.75% interes
Vsevolod [243]

Answer:

  • CDs — $10,000
  • bonds — $80,000
  • stocks — $45,000

Step-by-step explanation:

Let the variables c, b, s represent the dollar amounts invested in CDs, stocks, and bonds, respectively. Then the problem statement gives us 3 relations between these 3 variables:

  c + b + s = 135000 . . . . . . . . . . . . . . . . . total invested

  0.0275c +.045b +0.104s = 8555 . . . . . total income earned

  -c + b = 70000 . . . . . . . . . . . . . . . . . . . . . 70,000 more was in bonds than CDs

Using the third equation to write an expression for b, we can substitute into the other two equations.

  b = 70000 +c . . . . . . . . . . . . . . . . expression we can substitute for b

  c + (70000 +c) +s = 135000 . . . . substitute for b in the first equation

  2c +s = 65000 . . . . . . . . . . . . . . . . [eq4] simplify

  .0275c +.045(70000 +c) +.104s = 8555 . . . . . substitute for b in 2nd eqn

  .0725c +.104s = 5405 . . . . . . . . . . [eq5] simplify

Using [eq4], we can write an expression for s that can be substituted into [eq5].

  s = 65000 -2c . . . . . . . expression we can substitute for s

  0.0725c +0.104(65000 -2c) = 5405

  -0.1355c = -1355 . . . . . . . . . . . . . . . . . . . . subtract 6760, simplify

  c = 1355/.1355 = 10,000

  s = 65000 -2×10000 = 45,000

  b = 70000 +10000 = 80,000

The amounts invested in stocks, bonds, and CDs were $45,000, $80,000, and $10,000, respectively.

_____

Alternatively, you can reduce the augmented matrix for this problem to row-echelon form using any of several calculators or on-line sites. That matrix is ...

\left[\begin{array}{ccc|c}1&1&1&135000\\0.0275&0.045&0.104&8555\\-1&1&0&70000\end{array}\right]

6 0
3 years ago
Compute the number of vinyl tiles, measuring 25 cm each side, needed to tile a kitchen measuring 102 ft. by 18 ft. Try not to ro
nadya68 [22]

Answer:   2730 tiles (Approx)    

Step-by-step explanation:

Since, The side length of each side = 25

According to the question the shape of the tile is square.

Thus, the area of one tile = 25 × 25 = 625 cm^2

Also, we need to tile a kitchen measuring 102 ft. by 18 ft

Thus, the area of the room in which we have to tile =  102 × 18 = 1836 feet^2 = 1836×30.48 × 30.48 = 1705699.8144 cm^2

Thus, the total number of the tiles = the area of the room in which we have to tile / the area of one tile = \frac{1705699.8144}{625} = 2729.11970304

Since, we must take 2730 tiles to tile the kitchen.

3 0
3 years ago
Read 2 more answers
20 points Help Of the 30 girls who tried out for the basketball team at SMS, 12 were
Kisachek [45]

Answer:

yes

Step-by-step explanation:

Girls:

12 girls out of 30

12/30

Divide the top and bottom by 6

2/5

Boys

16 out of 40

Divide the top and bottom by 8

2/5

8 0
2 years ago
At a pizza eating competition, Davonne ate four more than twice as many slices as the runner up. If Davonne ate 11 slices, then
Sauron [17]
Let's begin with x as the number of slices the runner up ate.
Davonne ate four more than twice
So the equation should look somewhat like this.
4+2x=11
2x=7
x=3.5
So the runner up ate 3.5 slices
<span>Davonne ate four more than twice as many slices as the runner up. If Davonne ate 11 slices, then how many slices did the runner up eat?</span>
3 0
3 years ago
PLEASE HELP ASAP!!! How many 1/2-cup servings are there in 3/4 of a cup of cereal?
stellarik [79]

Answer:

there is only 1 but you have some left over so maybe 2

4 0
3 years ago
Read 2 more answers
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