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Angelina_Jolie [31]
2 years ago
6

1) f(x) = - x2 + 4x - 10 Find f(5)

Mathematics
1 answer:
Natali5045456 [20]2 years ago
3 0
Substitute the x with 5
-(5)2 + 4(5) - 10 = 0
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If angle ABC is one degree less than three times angle ABD and angle DBC=47 find each measure
Contact [7]

It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.

Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC

⇒ Angle ABC = Angle ABD + Angle DBC

Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree

Let angle ABD be x

⇒ Angle ABC = 3x-1

Also, Angle ABC = Angle ABD + Angle DBC

Substituting the values in the above equations

⇒ 3x-1 = x+47

⇒ 2x = 48

⇒ x = 24

So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree

8 0
3 years ago
Angelina deposits $3000 in a savings account on 1 January 2019, earning compound interest of 1.5% per year.
jekas [21]

The interest earned would be $481.62.

The total amount of money in her account would be $16,377.12.

<h3>Determining interest after 10 years </h3>

Interest = future value - amount deposited

$3000 (1.015)^10 = $3,481.62

Interest =  $3,481.62 - $3000 = $481.62

<h3>Determining the future value of the account.</h3>

 Future value of the lump sum = $3000 x (1.015)^11 = $3,533.85

Future value of the annuity = amount deposited x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r = [(1.015)^10 - 1] / 0.015 = 10.702722

Future value =  10.702722 x $1,200 = $12,843.27

Total future value =  $12,843.27 + $3,533.85 = $16,377.12

To learn more about future value, please check: brainly.com/question/18760477

4 0
2 years ago
Help me with this and I'll give you brainilest!
fredd [130]

Answer:

5000

Step-by-step explanation:

Either I do it I get 5000.

Sorry if this is wrong.

5 0
3 years ago
I need help on how to do this as soon as possible please
AfilCa [17]

Answer:

11

Step-by-step explanation:

m∠1  = m∠2  {Corresponding angles}

78 - 2x = 89 - 3x

Add 3x to both sides

78 - 2x + 3x = 89

78 + x = 89

Subtract 78 from  both sides

x = 89 - 78

x = 11

6 0
3 years ago
Elizabeth spends $12.40 on a new CD. This amount is 62% of her monthly allowance. Find the amount of Elizabeth's monthly allowan
valkas [14]

Answer:

20.00

Step-by-step explanation:

6 0
3 years ago
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