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77julia77 [94]
3 years ago
13

A computer programmer's yearly income of $82,000 is increased by 6%. What is the dollar amount of the increase, and what is her

new salary?
Mathematics
2 answers:
solong [7]3 years ago
5 0
Hi there!

To solve this problem, we need to convert 6% into a decimal, and multiply it to the previous yearly income to find the increase, and add that to the previous income to find the new salary. 

6% = 0.06

82000 * 0.06 = 4920

The amount increase is 4920 dollars. 

4920 + 82000 = 86920

Her new salary is 86,920 dollars. 

Hope this helps!
Vinvika [58]3 years ago
4 0
The new yearly income is $86920.
Convert 6% into a decimal which is 0.06.
1ST METHOD:
82000*0.06=4290
4290+82000=86920
2ND METHOD:
0.06+1=1.06
82000*1.06=86920
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An unknown capital gets added 5% interest per year by a bank. After how many years does the capital get three times as big, cons
shepuryov [24]

Answer:

After 23 years , the capital will get three times as big

Step-by-step explanation:

Firstly, let us write the compound interest formula

P = I( 1 + r)^n

Since we are considering a capital rise of 3 times

If I, the initial value is x, the P

value later will be 3x

Interest rate is 5/100 = 0.05

so we need the value of t

This will be;

3x = x(1 + 0.05)^t

3= 1.05^t

ln 3 = t ln 1.05

t = ln 3/ln 1.05

t = 23 years

6 0
2 years ago
The measure of the exterior angle of the triangle is what degree?
RSB [31]

Answer:

92°

Step-by-step explanation:

By exterior angle theorem:

(2x - 2) \degree = x \degree + 45 \degree \\  \\ (2x - 2 - x) \degree = 45 \degree \\  \\ (x - 2) \degree = 45 \degree \\  \\ (x - 2)  = 45 \\  \\ x = 45 + 2 \\  \\ x = 47 \\  \\ (2x - 2) \degree  = (2 \times 47 - 2)\degree  \\  \\ (2x - 2) \degree  = (94 - 2)\degree   \\  \\ (2x - 2) \degree  = 92\degree   \\  \\ measure  \: of  \: the  \: exterior \:  angle \\  = 92 \degree

4 0
3 years ago
Suppose someone tells you that she has a triangle with sides having lengths 2.2, 4.5, and 6.7. Is this a right triangle?
laila [671]
You can apply the Pythagorean theorem:
a^2 + b^2 = c^2
c is the longest side of the triangle
2.2^2 + 4.2^2 = 6.7^2
4.84 + 17.64 = 44.89
22.48 =/= 44.89
That is not a right triangle
6 0
3 years ago
I can't figure this one out...
worty [1.4K]

Answer:

the area would be 36(pi) since you can't find out the exact value of pi (22/7) and where it would terminate so thats the most exact answer you can get. The circumference would be

Step-by-step explanation:

12/2 = 6

Area = (pi)radius^2

6^2 = 36

36(pi)

Circumference: (pi)d

12(pi)


For approximate area you multiply r^2 by 3.14

For approximate circumference you multiply diameter by 3.14


5 0
3 years ago
Read 2 more answers
A. 12 + 4x = 6x + 10 – 2x
GalinKa [24]

An equation has infinitely many solutions if it can be manipulated all the way to an identity (i.e. an equality where the right and left hand side are the same). We have:

A) 12+4x=6x+10-2x \iff 12+4x=10+4x \iff 12=10

which is impossible

B) 5x+14-4x=23+x-9 \iff x+14 = x+14

which is an equality

C) x+9-0.8x=5.2x+17-8\iff 0.2x+9=5.2x+9 \iff 0.2x=5.2x\iff x=0

which has a unique solution

D) 4x-2x=20 \iff 2x=20 \iff x=10

which has a unique solution

3 0
3 years ago
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