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jek_recluse [69]
3 years ago
10

Fill in the blanks.

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
4 0
Hi there! I can help you.

Rate: To find the rate, let’s divide interest earned by the principal. When you do, you get 0.15. Multiply by 100 to get 15 and divide by 3 to get 5. The simple interest rate is 5%.

New balance: All you have to do is add the principal and he new balance. When you do, you get 517.5. The new balance is $517.50.
You might be interested in
Simplify the square root of 27x^12/300x^8
Darina [25.2K]
The first thing we are going to do is rewrite the expression correctly.
 We have:
 root (27x ^ 12 / 300x ^ 8)
 Rewriting:
 root ((27/300) * (x ^ 12 / x ^ 8))
 root ((9/100) * (x ^ (12-8)))
 root ((9/100) * (x ^ (4)))
 root ((9/100) * (x ^ (4)))
 3 * x ^ 2 * root ((1/100)
 (3 * x ^ 2) / 10
 (3/10) * (x ^ 2)
 Answer:
 (3/10) * (x ^ 2)
6 0
3 years ago
Read 2 more answers
Use completing the square to solve the equation x2 - 10x = -8.
Kay [80]

Answer:

x^2 - 10x + 25 = 17

Step-by-step explanation:

Please use " ^ " to denote exponentation:

x^2 - 10x = -8

x^2 - 10x + 25 = 17

x^2 - 10x + 25 = -8

x^2 - 10x - 25 = -33

Begin with x^2 - 10x = -8.  Here's the process for completing the square:

1.  Take half of the coefficient of x and square the result:

    (1/2)(-10) = -5, and then (-5)^2 = + 25

2.  Add this 25 to the first two terms of x^2 - 10x = -8 and also to the      constant -8:    x^2 - 10x + 25 = -8 + 25, or     x^2 - 10x + 25 = 17

3.  Match this result to one of the given possible answers.  Turns out that the given possible answer matching our result is the first one:

x^2 - 10x + 25 = 17

     

7 0
3 years ago
Can someone help last one :((
vovangra [49]

Answer:

40.49cm²

Step-by-step explanation:

I hope it helps

8 0
2 years ago
A town has a population of 5000 and grows at 4% every year. To the nearest year, how long will it be until the population will r
Rus_ich [418]

Answer:

About 21.457 years

Step-by-step explanation:

You can solve this by setting up a simple equation.

5000\cdot 1.04^x \geq 11600

1.04^x \geq 2.32

log base 1.04 2.32=x

x\approx 21.457 years

Hope this helps!

8 0
3 years ago
A runner finished his marathon in 180 minutes. A marathon is around 26 miles.
mash [69]

Answer:

I'd say 6.9 paces per mile.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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