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Vlad [161]
3 years ago
7

Evaluate j/k -0.2k when j =25 and k = 5

Mathematics
2 answers:
denis-greek [22]3 years ago
5 0
When you have an equation that has variables and you know the value of those variables, just plug it it. So plugging the vaules we get
\frac{25}{5}-\frac{1}{5}5
Just evaluating we get 4
vredina [299]3 years ago
3 0

Answer:

4

Step-by-step explanation:

To evaluate a function with certain defined values, we must <em>substitute</em> the values ​​in the equation, perform the indicated operations and in this way we obtain the final value.

If j = 25  and k=5

replacing in the equation

\frac{j}{k} -0.2k = \frac{25}{5} -0.2(5)  = 5 -1 = 4

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Logan wants to have $130,000 to pay for a surgery on his retractable forearm claws in 30 months. If he can invest money in an ac
dangina [55]

Answer: $107,836.69 or about $107,837 (to the nearest dollar)

Step-by-step explanation:

Formula to the  accumulated amount received after investing principal amount (P) at rate of interest (r) compounded monthly for t months :

A=P(1+\dfrac{r}{12})^{t}

As per given , A = $130,000

r= 7.5% = 0.075

t= 30 months

Now,

130000=P(1+\dfrac{0.075}{12})^{30}\\\\\Rightarrow 130000=P(1+0.00625)^{30}\\\\\Rightarrow 130000=P(1.00625)^{30}\\\\\Rightarrow 130000=P \times1.20552661036\\\\\Rightarrow\   P=\dfrac{130000}{1.2055266}=107,836.69

Hence he need to invest $107,836.69 .

8 0
3 years ago
For what value of B is the trigonometric function considered an odd function? y=cosB(x-c)
vichka [17]

For what value of B is the trigonometric function considered an odd function? y=cosB(x-c)


1/4

6 0
3 years ago
Write 316.0 in standard form
alekssr [168]

Answer:

  316.0

Step-by-step explanation:

In the US, the given number is in standard form.

__

In the UK, "standard form" is what we refer to as "scientific notation" in the US. The number in standard form there is ...

  3.160×10²

4 0
3 years ago
Choose the option that best answers the question.The points A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6) form a triangle. If Angl
Sunny_sXe [5.5K]

Answer:

The correct option is 1.

Step-by-step explanation:

Given information: The coordinates of a right angled triangle ABC are A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6). Angle ABC = 90°.

It means AB and BC are legs of the right angled triangle ABC.

Side AB lies on the y-axis because the x-coordinate of both A and B is 0.

Two legs are perpendicular to each other. So, BC must be parallel to x-axis and the y-coordinate of both B and C is must be same.

4a-5=2a+6

4a-2a=5+6

2a=11

Divide both sides by 2.

a=\frac{11}{2}

The value of a is 2. So the coordinates of triangle ABC are

B(0,4a-5)=B(0,4(\frac{11}{2})-5)\Rightarrow B(0,17)

C(2a+1,2a+6)=C(2(\frac{11}{2})+1,2(\frac{11}{2})+6)\Rightarrow C(12,17)

The area of a triangle is

Area=\frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|

The area of triangle ABC is

Area=\frac{1}{2}|0(17-17)+0(17-0)+12(0-17)|

Area=\frac{1}{2}|12(-17)|

Area=\frac{1}{2}|-204|

Area=\frac{1}{2}(204)

Area=102

The area of triangle ABC is 102. Therefore the correct option is 1.

6 0
3 years ago
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