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3 years ago

Please please help me

Mathematics

1 answer:

jonny [76]3 years ago

6 0

1. Annual percent increase in rent is basically just a percentage of the rent increased each year.

2. Heater: Use fire places, or lower the amount of air conditioning usage so it's not so cold.

Electricity: Turn off ceiling fans and lights when not used, or only allow the essential things to use electricity.

Water: Not leave faucets or showers running, or no bathtubs which prevents baths.

3. The couple could save $450 in one year because 3000 divided by 0.15 which is the 15%, equals to the total amount saved at $450.

4. Groceries/everyday essentials, Gas money, taxes, pay off loans.

You might be interested in

4/5 minus 1/3 plz i need help

IRISSAK [1]

Answer:

7/15

Step-by-step explanation:

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 4 by 3, and get 12.

Then we multiply 1 by 5, and get 5.

Next we give both terms new denominators -- 5 × 3 = 15.

So now our fractions look like this:

−

Step 2

Since our denominators match, we can subtract the numerators.

12 − 5 = 7

So the answer is:

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

No good. 11 is larger than 7. So we're done reducing.

6 0

2 years ago

Mrs. Hartill drove 3.1 miles to the grocery store, then 4.25 miles to the salon, and 10.8 miles to her sons house. How many mile

Bad White [126]

Answer: 18.15 miles

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

P^7n^3/p^4n^2 simplified <br> a.p^3n <br> b.p^11n^5 <br> c.(1/p^3n) <br> d.(1/p^11n^5)

Fynjy0 [20]

I think the answer is A. Cause your supposed to subtract so 7n-4n=3n, and 3-2=1 :) I hope this helps

5 0

3 years ago

Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false:

kondaur [170]

$\text{Proof by induction:}$
$\text{Test that the statement holds or n = 1}$

$LHS = (3 - 2)^{2} = 1$
$RHS = \frac{6 - 4}{2} = \frac{2}{2} = 1 = LHS$
$\text{Thus, the statement holds for the base case.}$

$\text{Assume the statement holds for some arbitrary term, n= k}$
$1^{2} + 4^{2} + 7^{2} + ... + (3k - 2)^{2} = \frac{k(6k^{2} - 3k - 1)}{2}$

$\text{Prove it is true for n = k + 1}$
$RTP: 1^{2} + 4^{2} + 7^{2} + ... + [3(k + 1) - 2]^{2} = \frac{(k + 1)[6(k + 1)^{2} - 3(k + 1) - 1]}{2} = \frac{(k + 1)[6k^{2} + 9k + 2]}{2}$

$LHS = \underbrace{1^{2} + 4^{2} + 7^{2} + ... + (3k - 2)^{2}}_{\frac{k(6k^{2} - 3k - 1)}{2}} + [3(k + 1) - 2]^{2}$
$= \frac{k(6k^{2} - 3k - 1)}{2} + [3(k + 1) - 2]^{2}$
$= \frac{k(6k^{2} - 3k - 1) + 2[3(k + 1) - 2]^{2}}{2}$
$= \frac{k(6k^{2} - 3k - 1) + 2(3k + 1)^{2}}{2}$
$= \frac{k(6k^{2} - 3k - 1) + 18k^{2} + 12k + 2}{2}$
$= \frac{k(6k^{2} - 3k - 1 + 18k + 12) + 2}{2}$
$= \frac{k(6k^{2} + 15k + 11) + 2}{}$
$= \frac{(k + 1)[6k^{2} + 9k + 2]}{2}$
$= \frac{(k + 1)[6(k + 1)^{2} - 3(k + 1) - 1]}{2}$
$= RHS$

Since it is true for n = 1, n = k, and n = k + 1, by the principles of mathematical induction, it is true for all positive values of n.

3 0

3 years ago

Suppose that 20° of boys opted for mathematics and 40% of girls opted for mathematics. What is the probability that a student op

ankoles [38]

Answer: 30%

Step-by-step explanation:

Let A be the probability of a student opting for mathematics - it consists of either boy opting for mathematics or girl opting for mathematics. As there is "or" we need to sum these probabilities.

$P(A) = P(B)* P(M|G) + P(G)*P(M|G)$

$P(A) = \frac{1}{2} * \frac{20}{100} + \frac{1}{2} * \frac{40}{100}$

$P(A) = 3/10 = 0.3$

=> 30%

5 0

2 years ago