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icang [17]
3 years ago
15

An executive in an engineering firm earns a monthly salary plus bonus of 5700 dollars. If she earns a total of 91400 dollars per

year. What is her monthly salary in dollars
Mathematics
1 answer:
Ray Of Light [21]3 years ago
6 0

Answer:

Step-by-step explanation:

From the problem statement, we can setup the following equation:

12S + 5700 = 91400

where S is the monthly salary. Solving for S will give us the answer:

12S = 85700

S = 7141.67

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Use calculator to evaluate each expression. (PICTURE) round to nearest hundredth.​
adoni [48]

Answer:

cos 85  = .09

tan 18 =.32

sin 41=.66

Step-by-step explanation:

cos 85 = .087155743 = .09

tan 18 =.324919696=.32

sin 41=.656059029=.66

4 0
3 years ago
1. solve for x: 2(x+2) + 3(x-1) = 3x + 7 +
Rus_ich [418]

x = 2(x+2) + 3(x-1) = 3x + 7

2x + 4 + 3x -3 = 3x + 7

2x + 3x - 3x = 7 - 4 + 3  

2x = 6

x = 3

5 0
3 years ago
PLEASE HELP what is the vertex of the parabola? y + 1 = -1/4(x - 2)^2
inessss [21]

Answer:

(2,-1)

Step-by-step explanation:

Rewrite in vertex form

y = -1/4(x-2)^2-1

5 0
3 years ago
There were some people no a boat 26 people got off the boat at the first dock 22 people got off the boat now there ate 74 people
kramer

Answer:

Step-by-step explanation:

Let the initial number of people on the boat be x:

x - 26 - 22 = 74

x -48 = 74

x = 74 + 48

x = 122

Answered by  G a u t h m a t h

7 0
3 years ago
a motorboat travels 305km in 5 hours going upstream and 651km in 7 hours going downstream. What is the rate of the boat in still
Ghella [55]
Recall your d = rt, distance = rate * time.

b = speed rate of the boat.

c = speed rate of the current.


keeping in mind that, as the boat goes Upstream, against the current, it's speed is not "b", but is really " b - c ", because the current is subtracting speed from it.

likewise, when the boat is going Downstream, because is going with the current, is really going faster at " b + c ".

\bf \begin{array}{lccclll}
&\stackrel{km}{distance}&\stackrel{kmh}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
Upstream&305&b-c&5\\
Downstream&651&b+c&7
\end{array}
\\\\\\
\begin{cases}
305=(b-c)(5)\implies 61=b-c\implies 61+c=\boxed{b}\\
651=(b+c)(7)\implies 93=b+c\\
----------------------\\
93=\boxed{61+c}+c
\end{cases}
\\\\\\
93=61+2c\implies 32=2c\implies \cfrac{32}{2}=c\implies 16=c

what is the speed of the boat?  well, 61 + c = b.
6 0
4 years ago
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