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Lina20 [59]
3 years ago
9

Ricardo earned $52,000 last year. He just received a 3% salary increase. What is his new yearly salary?

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
8 0
<h3>Answer:  53,560 dollars</h3>

=======================================================

Explanation:

Having the salary increase by 3% means we can use the multiplier 1.03

Think of it like 100% + 3% = 1 + 0.03 = 1.03

The new salary is 52,000*1.03 = 53,560 dollars

----------------

The slightly longer way to do this is to first figure out how much 3% of 52,000 is

3% of 52,000 = 0.03*52,000 = 1560

Ricardo earns $1560 more dollars on top of the salary of $52,000

So overall his new salary is $1,560 + $52,000 = $53,560

----------------

Personally, I prefer the first method because it's quicker and it allows for multiple percentage increases to chain together. It also could be used to chain in percentage decreases as well.

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Find the vertex of the function given below.<br> y= 2x2 + 4x + 1
Ray Of Light [21]

Answer:

vertex is (-1,-1)

Step-by-step explanation:

2 ways

1. get into vertex form y=a(x-h)^2+k

2. use math hacks

1.

vertex is (h,k) in y=a(x-h)^2+k

complete square

y=(2x^2+4x)+1

y=2(x^2+2x)+1

y=2(x^2+2x+1-1)+1

y=2((x+1)^2-1)+1

y=2(x+1)^2-2+1

y=2(x+1)^2-1

y=2(x-(-1))^2+(-1)

vertex is (-1,-1)

2.hack way

in form y=ax^2+bx+c

x value of vvertex is -b/2a

given

y=2x^2+4x+1

b=4, a=2

xvaluevertex=-4/(2*2)

xvaluevertex=-4/4=-1

sub back to find y value

y=2(-1)^2+4(-1)+1

y=2(1)-4+1

y=2-4+1

y=-1

y value is -1

8 0
3 years ago
An ice machine uses 3 gallons of water every 9 hours How many gallons of water does it use each hour? How many hours does it
NikAS [45]

Answer:

1/3 gallon per hour, and it takes 3 hours to use one gallon

Step-by-step explanation:

Simplify the ratio

3-9

Which simplifies to

1-3

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3 0
3 years ago
Question 17 (5 points)
Phoenix [80]

Answer:

Malcolm’s debt-to-income ratio is 0.8125

Step-by-step explanation:

we know that

To find out Malcolm’s debt-to-income ratio, divide monthly expenses by the monthly salary

Let

x ------> Malcolm’s monthly expenses

y -----> Malcolm’s monthly salary

In this problem we have

x=\$975\\ y=\$1,200

The ratio is equal to

975/1,200=0.8125

8 0
3 years ago
5+21^6-(-6)*7÷17<br><br><br> ................
german
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7 0
3 years ago
If a car travels at a constant speed of 45km/hr how long will a journey of 270km take?<br><br>​
dem82 [27]

Answer:

I think the answer is "6" but I could be wrong.

6 0
3 years ago
Read 2 more answers
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