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3 years ago

1 of 8 © Write 14 as a product of primes.

1 answer:

3 0

In order to factor a number in prime numbers, you have to check if a prime divides your number evenly. If so, you divide the given number by that prime, and keep going.

So, we start from 14. You can clearly see that it is divisible by 2, the first prime number.

14 divided by 2 is 7, and now we must find the factors of 7.

But 7 is a prime number itself. So we're done.

$14=2\cdot 7$

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How much will you need to invest at 2.5% to have earned $900 in interest in 5 years

Evgen [1.6K]

Answer:

we need $7200 to earn $900 in 5 years.

Step-by-step explanation:

Simple Interest formula: $\frac{PRT}{100}$ .......where p is principal, r is rate of interest, t is time

Using the formula:

$\frac{p*2.5*5}{100} =900$

${p*2.5*5} =900*100$

$12.5p =90000$

$p = 90000/12.5$

$p=7200$

4 0

3 years ago

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The time to complete the construction of a soapbox derby car is normally distributed with a mean of three hours and a standard d

natta225 [31]

Answer:

Step-by-step explanation:

In this question, we will be calculating the probability between a range using normal distribution.

We proceed as follows;

we have, mean (μ)= 3 and standard deviation (σ) = 1

P(2.5<X<3.5) = P(2.5 - 3 < X- μm < 3.5 -3) = P( -0.5/1 < (X - μ ) /σ < 0.5/1 )

since Z= (X - μ ) / σ

P(2.5<X<3.5) = P(-0.5 < Z < 0.5)

Using Standard Normal Table or Z-calculator it can be found that ,

P(-0.5 < Z < 0.5) = 0.383

because P(−0.5<Z<0.5 ) = P ( Z<0.5 ) − P (Z<−0.5 )

using Standard Normal Table : P ( Z<0.5 )=0.6915 and P ( Z<−0.5 ) can be found by using the following fomula.

P ( Z<−a)=1−P ( Z<a )

After substituting a=0.5 we have: P ( Z<−0.5)=1−P ( Z<0.5 )

We see that P ( Z<0.5 )=0.6915 so,

P ( Z<−0.5)=1−P ( Z<0.5 )=1−0.6915=0.3085

At the end we have: P (−0.5<Z<0.5 )= P ( Z<0.5 ) − P (Z<−0.5 ) = 0.383

4 0

3 years ago

A record is spinning at the rate of 37 rpm. If a ladybug is sitting 8 cm from the center of the record, find and exact answer fo

blagie [28]

Ladybug must be really fast

7 0

3 years ago

A hungry elf ate 35 of your muffins. That was 710 of all of them! With how many did you start?

KengaRu [80]

Answer:

2094.5 muffins

Step-by-step explanation:

The problem is a little bit messy, but i’m guessing you meant that the elf ate 35% of the muffins, which 35% is 710 muffins. so since 35% of muffins is 710 muffins, let’s multiply that by 2 so we can get 70%.

so 710 x 2 is 1420. so 70% of the muffins is 1420 muffins! sadly that’s not all of the muffins. we’re still missing another 30%. since we don’t know how many muffins are in 30%, let’s just take 710 muffins - 5%. when you do that you get 674.5. so now that we know how much is in 30%, let’s take 1420 + 674.5. when you do that you get 2094.5! so you started off with 2094 and a half muffins!

6 0

3 years ago

MSRP (Manufacturer's Suggested Retail Price) = $18.99 retailer's price = $14.99 discount = ?%

Gala2k [10]

Discount=$ 4

Discount percent :21.06%

solution given:

Marked price: $18.99

selling price: $14.99

Now

discount : Marked price - selling price

:$18.99- $14.99

:$4

Now

discount percent: $\frac {discount}{marked \:price} *100\percent$

= $\frac {4}{18.99}*100$ %

=21.06%

5 0

3 years ago

Read 2 more answers