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Ganezh [65]
3 years ago
13

You have an allowance of $15.00 per week. You are in a bowling league that costs $6.50 each

Mathematics
1 answer:
Semenov [28]3 years ago
5 0

Answer:

$3.50

Step-by-step explanation:

15.00-6.50=$8.50

$8.50-$5.00=$3.50

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Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x3 + x +
nevsk [136]

Answer:

x_2 \approx -1.769

Step-by-step explanation:

Let f(x)=x^3+x+7

So f'(x)=3x^2+1

x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}

Let x_1=-2

We are going to find x_2

So we are evaluating -2-\frac{f(-2)}{f'(-2)}

First step find f(-2)

Second step find f'(-2)

Third step plug in those values and apply PEMDAS!

f(-2)=(-2)^3+(-2)+7=-8-2+7=-10+7=-3

f'(-2)=3(-2)^2+1=3(4)+1=12+1=13

So

x_2=-2-\frac{-3}{13} \\\\ x_2=\frac{-26+3}{13} \\\\ x_2=\frac{-23}{13} \\\\ x_2 \approx -1.769

5 0
3 years ago
What is the value of x?
Orlov [11]

Answer:

x = 24.5

Step-by-step explanation:

There are two similar triangles. In similar triangles the sides are in proportion.

Let's name big triangle as triangle 1 and small triangle as triangle 2.

The sides of the big triangle:

27 as base and the longest side (x + 7)

The sides of the small triangle:

base = 27 - 6 = 21

longest side = x

We need to find the value of x using proportion.

27/21 = (x + 7)/ x

By cross multiplying, we get

27(x) = 21(x + 7)

27x = 21x + 147

27x - 21x = 147

6x = 147

Dividing both sides by 6, we get

x = 147/6

x = 24.5

The value of x = 24.5

Hope you will understand the concept.

Thank you.

5 0
3 years ago
(1 point) In 7 years Harry and Sally would like to have $14000 for a down payment on a house. How much should they deposit each
den301095 [7]

Answer:

$110.37

Step-by-step explanation:

Assuming the monthly payment is made at the beginning of the month, the formula for the monthly payment P that gives future value A will be ...

... A = P(1+r/12)((1+r/12)^(nt) -1)/(r/12) . . . . n=compoundings/year, t=years

... 14000 = P(1+.11/12)((1+.11/12)^(12·7) -1)/(.11/12)

... 14000 = P(12.11)((1+.11/12)^84 -1)/0.11 ≈ P·126.84714 . . . . fill in the given values

... P = 14000/126.84714 = 110.37 . . . . . divide by the coefficient of P

They should deposit $110.37 at the beginning of each month.

6 0
3 years ago
A high school debate team of 4 is to be chosen from a class of 35. how many possible ways can the team be formed?
Burka [1]
Imagine there are 4 sits for fill for the debate team 
we can fill the first sit in 35 different ways, second sit we only have 34 choices , third sit 33 and last sit 32 ways to possible fill it. 
35·34·33·32=1,256,640 possible ways the team could be form
4 0
3 years ago
When asked to graph the line for y = 2/5x + 3, Mallory drew the line shown.
Helen [10]

Answer:

A

Step-by-step explanation:

Using desmos we can see that the slope is positive and increasing while Mallory made a negative slope.

5 0
3 years ago
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