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Andreyy89
2 years ago
12

You have performed increasingly well this past year and you are earning a 6% pay increase to your current $62,900 annual salary.

"
Mathematics
1 answer:
Hitman42 [59]2 years ago
3 0

Answer: $ 64787


Step-by-step explanation:

1% of 62900 = 629

6% = 629 x 6 = 1887

total = 62900 + 1887 = $ 64787

Hope this helps :)


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PLEASEE HURRYY Which expression is equivalent to the complex number. 10+3i
irga5000 [103]

Answer:

(4+7i)-2i(2+3i) = 10+3i

Step-by-step explanation:

We need to find the expression that is equivalent to the complex number 10+3i.

Option 1. 2i(4-5i)+(1-7i)

=8i-10i²+1-7i

∵ i² = -1

=8i-10(-1)+1-7i

=8i+10+1-7i

=11+i (incorrect)

Option 2. (4+7i)-2i(2+3i)

=4+7i-4i-6i²

=4+7i-4i-6(-1)

=4+7i-4i+6

=10+3i (Correct)

Option 3. (-3+5i)-3i(4+5i)

= (-3+5i)-12i-15i²

= -3+5i-12i-15(-1)

= -3+5i-12i+15

=12-7i (incorrect)

Option 4. 3i(4+7i)+(11+2i)

= 12i+21i²+11+2i

=12i+21(-1)+11+2i

= 12i-21+11+2i

=14i-10 (incorrect)

Hence, the correct option is (B).

5 0
2 years ago
Read 2 more answers
What is the common multiple of 2,960 6,400 and 2000 with full process
Mamont248 [21]

Answer:

1184000

Step-by-step explanation:

lcm(2960,6400,2000)

prime factor:

2960=(2^4)(5)(37)\\6400=(2^8)(5^2)\\2000=(2^4)(5^3)

Take the largest power of each factor:

(2^8)(5^3)(37^1)\\=1184000

3 0
1 year ago
The graph shows the solution to the initial value problem y'(t)=mt, y(t0)= -4
Charra [1.4K]
y'(t)=mt
\\
\\ y=\int {mt} \, dt=m \int{t} \,dt=m \frac{t^2}{2} +C \\ \\y= \frac{mt^2}{2}+C

Now find equation of the graph. It passes through the point (2,3), and intersects y-axis at -2.

y=at^2+b
\\
\\3=a\times 2^2-2
\\
\\3=4a-2
\\
\\5=4a
\\
\\a= \frac{5}{4} 
\\
\\y=\frac{5}{4} t^2-2 \\ \\y= \frac{m}{2} t^2+C
\\ \\  \frac{m}{2} = \frac{5}{4} 
\\
\\m= \frac{5}{2} 
\\
\\C=-2
\\
\\y(t_0)=-4
\\
\\-4= \frac{5}{4} t_0^2-2
\\
\\ -2= \frac{5}{4} t_0^2
\\
\\ t_0^2=- \frac{8}{5} 
\\
\\t_0=\pm \sqrt{- \frac{8}{5} }



3 0
2 years ago
The distance between Cincinnati, Ohio, and charlotte, North Carolina, is about 336 miles.The distance between Cincinnati and Chi
bija089 [108]
Cincinnati Ohio à<span> Charlote North CA = a total of 336 miles
Cincinnati </span>à<span> Chicago Illinois = a total of 247 miles
Perry drove from Charlote to Chicago by passing Cincinati. Find the distance she drove.
=> Note that the distance from charlotte to Cincinnati is 365 then from Cincinnati to Chicago is 247
=> 336 miles + 247 Miles
=> 583 miles
Penny drove for a total of 583 miles from Charlotte to Cincinnati to Chicago.

</span>



8 0
2 years ago
A company produces canned tomatoes. They want the height h of each can to be twice the diameter d. Enter an equation for the sur
lutik1710 [3]

Answer:

The equation is:

(2×π×r×4r)+(2×π×r^2)= A

The maximum radius of the can they will produce = 1.7 inches

Step-by-step explanation:

Please see the attached files for explanation

5 0
2 years ago
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