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andrew11 [14]
3 years ago
14

Margo borrows $1900, agreeing to pay it back with 4% annual interest after 9 months. How much interest will she pay?

Mathematics
1 answer:
lana66690 [7]3 years ago
5 0

1900*4%

1900*0.04

76 (interest for a year)

76*3/4 (3/4 because 9 months is 3/4 of a year)

57 (9 months interest)

Margo will pay $57 in interest  



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The Jaxon High School prom committee has 100 thumb drives to sell in a fundraiser. The function f(x) = 8x – 200 models their inc
Alina [70]

Answer:

25 = x

Step-by-step explanation:

Based on the equation we see that the thumb drives cost $200 which is why that is being subtracted. To calculate the break-even number of sales we need to make a total of 200 to cover the costs. We calculate this by matching the equation to 0 and solving for x...

0 = 8x - 200  ... add 200 on both sides

200 = 8x   ... divide both sides by 8

25 = x

Finally, we can see that the committee will break even after selling 25 thumb drives which would make them $200 to cover all of their costs.

5 0
2 years ago
The right triangle shown has angles X, Y, and Z and side lengths a, b, and
laiz [17]
So attached is a picture of the triangle you are talking about and listed under are the choices:

A.) Cos Z=b/c 
B.) Sin X=c/b 
C.) Tan X=b/a 
<span>D.) Tan Z=a/b
</span>
The answer would then be B. SinX = c/b.

Just remember SOH CAH TOA:

Sinθ=  Opposite         Cosθ =    Adjacent             Tanθ=   Opposite
         Hypotenuse                   Hypotenuse                        Adjacent

Using the triangle in the scenario, you just need to identify which side is which. 

Given m∠Z
Adjacent = b
Opposite = a
Hypotenuse = c

SinZ=  a         CosZ = b             TanZ= a 
            c                      c                        b

Given m∠X:

Adjacent = b
Opposite = a
Hypotenuse = c

SinX= <u> b </u>        CosX =<span><u> a </u></span>            TanX=<span><u> b </u></span>
            c                      c                        a

So the answer is B. 

Attached is a picture of how I assigned the sides depending on the angle used.

4 0
3 years ago
A recent poll of 120 randomly selected adults who frequent the local​ farmer's market found that 54 have purchased reusable clot
Olenka [21]

Answer:

95% Confidence interval:  (0.361,0.539)    

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 120

Number of farmers who reusable cloth bags, x = 54

\hat{p} = \dfrac{x}{n} = \dfrac{54}{120} = 0.45

95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96

Putting the values, we get:

0.45\pm 1.96(\sqrt{\dfrac{0.45(1-0.45)}{120}}) = 0.45\pm 0.089\\\\=(0.361,0.539)

is the required 95% confidence interval for the proportion of adults who have purchased reusable cloth​ bags.

3 0
3 years ago
5. PLEASE HELP
lana66690 [7]

Answer:

The potential energy of the ball having 2kg mass would be 392 J

Step-by-step explanation:

I am assuming the ball has a mass of 2 kg, as you have not mentioned the mass of a ball.

Considering the formula for calculating the gravitational potential energy

G.P.E\:=\:m.g.h

As

m = 2 kg

Acceleration of gravity = g = 9.8 ms^{-2}

As the ball is on the height = h = 20 meters

So,

G.P.E\:=\:(2)(9.8)(20)

G.P.E\:=392 J

Therefore, the potential energy of the ball = 392 J

Keywords: potential energy, Gravitation potential energy

Learn more potential energy from brainly.com/question/14022793

#learnwithBrainly

5 0
2 years ago
Do the ratios 42/56 and 56/64 form a proportion?<br> if they do explain your answer
Volgvan
Lets check...

42/56 = 56/64
cross multiply
(56)(56) = (42)(64)
3136 = 2688...(incorrect)...these are not proportional

proportions are nothing but equivalent fractions
42/56 = 3/4
56/64 = 7/8
as u can see, they are not equivalent fractions...so they are not proportional
4 0
3 years ago
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