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3 years ago

Grades due friday please help :)

Mathematics

1 answer:

mr_godi [17]3 years ago

4 0

Answer:

6 inches

Step-by-step explanation:

<u>To find the solution</u>

Find the ratios. The ratio is 1 inch : 4 feet.
Do the equation 24 ÷ 4 = 6
Find the new ratio. 6 inches : 24 feet

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Jonathan has 7 hours to finish three jobs. If the first job takes him 2 3/4 hours and the second joob takes him 1 5/6 hours, how

wariber [46]

This is a sum problem first you add the two known (2 3/4 + 1 5/6)
=4 7/12 hours for these both jobs
after you subtract this number from 7
2 5/12 is the answer
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3 years ago

Prove that when x > 1, a triangle with side lengths a = x2 − 1, b = 2x, and c = x2 + 1 is a right triangle. Use the Pythagore

klemol [59]

First we need to see the pythagorean formula which is

$a^2 + b^2 = c^2$

Substituting the given values of a,b , we will get

$(x^2 -1)^2 + (2x)^2$

$= x^4 +1 -2x^2 +4x^2$

$= x^4 +1 +2x^2$

$= (x^2 +1)^2$

And

$(x^2 +1)^2 = c^2$

So we have

$a^2 + b ^2 = c^2$

So the given triangle is a right triangle .

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3 years ago

A population of 1,750 cheetahs decreases by 11% per year. How many cheetahs will there be in the population after 10 years? Roun

Naddik [55]

$\bf \qquad \textit{Amount for Exponential Decay}
\\\\
A=P(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &1750\\
r=rate\to 11\%\to \frac{11}{100}\to &0.11\\
t=\textit{elapsed time}\to &10\\
\end{cases}
\\\\\\
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4 years ago

Natalie and Preston would like to accumulate $25,000 at the end of 3.5 years for a future down payment on a house in Prescott. H

Brrunno [24]

Answer:

$7.4 should be deposited at the end of each week

Step-by-step explanation:

In this question, we are asked to calculate the principal amount that should be deposited to get a house of $25,000 at the interest and time given in the question

To solve this problem, we use the compound interest formula.

Mathematically;

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

From the question, we identify the following;

A is the amount that is targeted which is the principal plus the targeted interest = $25,000 according to the question

P is the amount invested at the beginning which we are looking for

r is the rate which is 7.2% = 7.2/100 = 0.072

n is the number of times we compound per year which is 12 times( compounding is per month)

t is the number of years which is 3.5 years

To get the principal, we can rewrite the equation to be;

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

25,000/(1 + 0.072/12)^(12 * 3.5) = P

P = 25,000/18.54 = $1,348

But the question asks how much to be deposited at the end of each week

The number of weeks in 3.5 years is 3.5 * 52 =182 weeks

Thus, the amount deposited at the end of each week will be 1,348/182 = $7.4

3 0

4 years ago

Miranda needs to buy a bottle of honey. She notices that she can pay $4 for a

vitfil [10]

Answer:

The better one is $6 for 24 oz bottle

Step-by-step explanation:

If it cost 4 dollars for a 12 oz bottle and that would cost 1 dollar per 3 oz but for the 6 dollar for a 24 oz bottle it would be 1 dollar per 4 oz so 6 dollars for a 24 oz bottle is better!

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3 years ago