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alekssr [168]
4 years ago
12

Rewrite the equation by completing the square. 2 x^2 -11 x +14 = 0

Mathematics
1 answer:
Tanzania [10]4 years ago
4 0

Answer:

x^2 - (11/2)x + 121/16 = -7

Step-by-step explanation:

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ZanzabumX [31]
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6 0
3 years ago
What is 100,203 in expanded form
alexgriva [62]
100,000 + 200 + 3 = Expanded form of 100,203
6 0
3 years ago
A person places $7320 in an investment account earning an annual rate of 8.2%,
klasskru [66]

Answer:

The amount of money after 12 years is $19581.99 to the nearest cents

Step-by-step explanation:

The formula of the compound continuously interest is V = Pe^{rt} , where

  • V is the value of the account in t years
  • P is the principal initially invested
  • e is the base of a natural logarithm
  • r is the rate of interest in decimal

∵ A person places $7320 in an investment account

∴ P = 7320

∵ The account earning an annual rate of 8.2%, compounded continuously

∴ r = 8.2% ⇒ divide it by 100 to change it to decimal

∴ r = 8.2 ÷ 100 = 0.082

∵ The time is 12 years

∴ t = 12

→ Substitute these values in the formula above to find V

∵ V = 7320e^{0.082(12)}

∴ V = 19581.99121 dollars

→ Round it to the nearest cents ⇒ 2 d.p

∴ V = 19581.99 dollars

∴ The amount of money after 12 years is $19581.99 to the nearest cents.

8 0
3 years ago
A Cat, sitting in the top of a tree, spots a dog and a Firefighter both on the flat ground below. From the cats point of view ,
dezoksy [38]
This is the concept of application of trigonometry;
The height of the tree will be given by:
tan theta=opposite/adjacent
theta=65
opposite=h
adjacent= 10
thus;
tan 65=h/10
h=10 tan 65
h=21.45 m

The distance between the dog and the man is x;
the distance of the man to the tree is (x+10) m
this will be given by:
tan 50= 21.45/(10+x)
getting the reciprocal of the expression we get;
1/tan 50=(10+x)/21.45
cross multiplying the above expression we get;
21.45=(10+x)tan 50
21.45=(10+x)1.2
21.45=12+1.2x
1.2x=21.45-12
1.2x=9.45
x=9.45/1.2
x=7.875
We conclude that the distance of the Firefighter and the dog is x=7.875 m



4 0
4 years ago
Read 2 more answers
use the method of successive differences to determine the next number in the given sequence 4; 32; 160; 798; 2706; 7164; 16,142
OlgaM077 [116]

Answer:

32470

Step-by-step explanation:

4; 32; 160; 798; 2706; 716

28;128;638;1908;4458

100;510;1270;2550

410;760;1280

350;520

170

7th: 170+520+1280+2550+4458+7164=16142

4; 32; 160; 798; 2706; 7164;16142

28;128;638;1908;4458;8978

100;510;1270;2550;4520

410;760;1280;1970

350;520;690

170;170

8th: 170+690+1970+4520+8978+16142=32470

4 0
3 years ago
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