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Hatshy [7]
3 years ago
6

On Monday Godswill ate some grapes. On Tuesday he

Mathematics
2 answers:
Sav [38]3 years ago
7 0

For this case we have to:

Let "x" be the variable that represents the number of grapes Godswill ate on Monday, so we have:

  • Monday:x
  • Tuesday:x + 6
  • Wednesday:(x + 6) + 6 = x + 12
  • Thursday: [(x + 6) +6] + 6 = x + 18
  • Friday:{[(x + 6) +6] +6} + 6 = x + 24

Finally we have the following expression:

x + x + 6 + x + 12 + x + 18 + x + 24 = 100

We add similar terms:

5x + (6 + 12 + 18 + 24) = 100\\5x + 60 = 100\\5x = 100-60\\5x = 40\\x = \frac {40} {5}\\x = 8

So, on Monday he ate 8 grapes

Answer:

On Monday he ate 8 grapes.

garri49 [273]3 years ago
5 0

Answer: He ate 8 grapes on Monday.

Step-by-step explanation:

Let be "x" the number of grapes Godswill ate on Monday.

You know that he ate 6 more grapes than he had on Monday. This can be expressed with:

x+6

Since each day that week, he ate 6 more grapes than the day before and he realized on Friday he had eaten a total of 100 grapes this week, you can write the following expression and solve for "x":

x+(x+6)+(x+12)+(x+18)+(x+24)=100\\\\5x+60=100\\\\x=\frac{40}{5}\\\\x=8

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Answer:

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Step-by-step explanation:

To obtain the result of a fractions multiplication we need to multiply both numerators and the divide by the multiplication of the denomitators. In general, given a,b,c,d real numbers with b and d not zero, we have that

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Substituting a,b,c and d for 8,15,2 and 13 we obtain that

\frac{8}{15}* \frac{2}{13} =\frac{16}{195}

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Answer:

<u>The value of the annuity in 10 years will be US$ 15,552.90</u>

Step-by-step explanation:

Let's use the ordinary simple annuity formula to calculate the value of the annuity in 10 years, this way:

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n = Number of periods in which payments will be made  = 26 * 10 = 260

FV = PMT * [(1 + r)ⁿ  − 1]/r

Now, replacing with the real values, we have:

FV = 50 *  [(1 + 0.035/26)²⁶⁰  − 1]/(0.035/26)

FV = 50 *  [(1.001346154)²⁶⁰  − 1]/0.001346154

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x- coordinate of vertex = - 3

the vertex lies on the axis of symmetry , which is positioned at the midpoint of the zeros

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