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3 years ago

Let p be the greatest prime factor of 9991. The sum of the digits of p is?

Mathematics

1 answer:

Dovator [93]3 years ago

5 0

Answer:

Step-by-step explanation:

9991 = 97×103

The greatest prime factor of 9991 is 103. The sum of digits of 103 is 1+0+3 = 4.

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3 years ago

What is the total amount that First Consumer Bank will receive after lending Jane $7,000 for three years at an interest rate of

nlexa [21]

In 3 years, you will have $8,103.38

Formula:

A = P (1 + r/n) ^(nt)

Where:

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r = the annual interest rate (decimal)
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3 years ago

A pair of snow boots at an equipment store in Big Bear that originally cost $60 is on sale for 40% off. Then, you have a coupon

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Answer:

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Step-by-step explanation:

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3 years ago

What is the solution of √x-5 = x-11

PIT_PIT [208]

Hey!

To solve x in this equation we must first add five to both sides to get $\sqrt{x}$ on its own.

Original Equation :
$\sqrt{x} - 5 = x - 11$

New Equation {Added 5 to Both Sides} :
$\sqrt{x} =x-6$

Now we must square both sides of the equation.

Old Equation :
$\sqrt{x} =x-6$

New Equation {Changed by Squaring Both Sides} :
$x= x^{2} -12x+36$

And now we must solve the new equation.

Step 1 - Switch sides
$x^{2} -12x+36=x$

Step 2 - Subtract x from both sides
$x^{2} -12x+36-x=x-x$

Step 3 - Simplify
$x^{2} -13x+36=0$

Now we need to solve the rest of the equation using the quadratic formula.

$\frac{-(-13)+ \sqrt{(-13) ^{2}-4*1*36 } }{2*1}$

${13+ \sqrt{(-13)^{2}-4*1*36 }=13+ \sqrt{25}$

$\frac{13+ \sqrt{25}}{2}$

$\sqrt{25}=5$

$\frac{13+5}{2}$

$\frac{18}{2}$

9

$\frac{-(-13)- \sqrt{(-13) ^{2} -4*1*36} }{2*1}$

4

So, this means that in the equation $\sqrt{x} -5=x-11$ , x = 9 and x = 4.

Hope this helps!

- Lindsey Frazier ♥

4 0

3 years ago

What is 98,464 rounded to the nearest ten thousands ?

sleet_krkn [62]

100,000
because the 8 makes the 9 round up into a 10

6 0

3 years ago