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wlad13 [49]
3 years ago
5

Larissa is considering two summer jobs. A job at the mall pays $400 per week plus $15 for every hour of overtime. A job at the m

ovie theater pays $360 per week plus $20 for every hour of overtime. How many hours of overtime would Larissa have to work in order for the job at the movie theater to pay a higher salary than the job at the mall?
Mathematics
1 answer:
Rina8888 [55]3 years ago
4 0
Solve using system of equations!
Let y=total amount of money and x=hours of overtime.
mall: y=400+15x
movies: y=360+20x
Solve! Set the equations equal to each other to find x.
400+15x=360+20x
40=5x
x=8
After 8 hours of overtime the movies would pay her more.
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Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 En
Sergio [31]

Answer:

\bold{cot(t) =\dfrac{12}{5}}

Step-by-step explanation:

Given that:

Cosec (t) = -\frac{13}5

for \pi < t < \frac{3 \pi}2

That means, angle t is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

cosec^2\theta -cot^2\theta =1

here, \theta =t

So, cosec^2t-cot^2t=1

\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}

But, angle t is in 3rd quadrant, so value of

\bold{cot(t) =\dfrac{12}{5}}

4 0
3 years ago
a college loan of 15000 has a 3% annual simple interest rate what is the interest the student will pay after 5 years
inessss [21]

Answer:

Interest = $ 90000

Step-by-step explanation:

Given, Principal= $15000

Rate = 3%

Time = 5 years

Interest = P × R × T/100

Therefore, Interest = 15000 × 3 × 5/100

(dividing 100 by 5 to get 20)

= 15000 × 3 × 20

= 90000

if it helps don't forget to like and mark me down

7 0
3 years ago
What is the value of tanØ
mr_godi [17]

Answer:

tan ∅ = 24 / 7

Step-by-step explanation:

cos ∅ = 7 / 25

sin^2 ∅ + cos^2 ∅ = 1

sin^2 ∅ + (7 / 25)^2 = 1

sin^2 ∅ = 1 - 49 / 625

sin^2 ∅ = 625 - 49 / 625

sin^2 ∅ = 576 / 625

sin ∅ = root 576 / 625

sin ∅ = 24 / 25

tan ∅ = sin ∅ / cos ∅

tan ∅ = 24/25  /  7/25

Therefore, tan ∅ = 24 / 7

OPTION 4.   24 / 7

8 0
3 years ago
Two fair dice, one blue and one red, are tossed, and the up face on each die is recorded. Define the following events:
ZanzabumX [31]

Answer:

Step-by-step explanation:

Given that two fair dice, one blue and one red, are tossed, and the up face on each die is recorded.

a) P(E) = P(the difference of the numbers is 3 or more}

Favourable events are (1,4) (1,5)(1,6) (2,5) (2,6) (3,6) (4,1) (5,1) (5,2) (6,1) (6,2)(6,3)

P(E) = \frac{12}{36} =\frac{1}{3}

b)P(F)

Favourable events for F = (1,1) (2,2)...(6,6)

P(F) = \frac{6}{36} =\frac{1}{6}

c) P(EF)

There is no common element between E and F

P(EF) =0

4 0
3 years ago
Read 2 more answers
Can some one help me i need help it is 6x-1/5=3/1 but its not hole numbers
baherus [9]
X = 8/15
6x - 1/5 = 3/1
6x - 1/5 = 3
6x = 3 + 1/5
6x = 15 + 1 over 5 
6x = 16/5
x = 16/30
Then, you simplify. 
x = 8/15
8 0
3 years ago
Read 2 more answers
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