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2 years ago

12

Can you tell which of the following triangles are right and explain your answer? The numbers represent the lengths of the sides:

5,6,7

1 answer:

abruzzese [7]2 years ago

5 0

….? Where are the triangles…?

….? Where are the options…?

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Tony wants to save $10,000 in 6 years. Assuming a 4% interest rate, what is the minimum he must save each month to reach his goa

arlik [135]

We have been given that Tony wants to save $10000 in 6 years.

That means future value S = $10000

Time t= 6 years

Interest rate = 4% yearly = 0.04 yearly

n=12 months per year

Now we have to find monthly payment to recieve $10000 in 6 years. so we need to apply monthly payment formula which is

$S=R(\frac{(1+\frac{r}{n})^{nt}-1}{\frac{r}{n}})$

$10000=R(\frac{(1+\frac{0.04}{12})^{12*6}-1}{\frac{0.04}{12}})$

$10000=R(\frac{(1+0.00333333333333)^{72}-1}{0.00333333333333})$

$10000=R(\frac{(1.00333333333333)^{72}-1}{0.00333333333333})$

$10000=R(\frac{1.27074187908-1}{0.00333333333333})$

$10000=R(\frac{0.27074187908}{0.00333333333333})$

$10000=R(81.2225637241)$

$\frac{10000}{81.2225637241}=R$

$123.11849739=R$

which is approx $123.

Hence final answer is C) $123.

4 0

4 years ago

Answer please and explain

Fiesta28 [93]

Answer:

C=84

Step-by-step explanation:

Since you use 3 for pi. You plug the radius into the formula. C=2×3x14=84

5 0

3 years ago

Read 2 more answers

Jack has 120 songs on his music player. Some are rock, some are jazz, and the rest of classical pieces. If his music player is o

muminat

2/5 and 1/3 have a common denominator of 15. 6/15, 5/15, and 4/15 add up to 15/15. So the chances of rock are 4/15. 120 divided by 15 is 8. Six times eight equals fourty eight, five times eight equals forty, and four times eight equals thirty two. So there are 48 classical songs, 40 jazz songs, and 32 rock songs.

4 0

3 years ago

Make c the subject:<br> x=-b+(b²-4ac) divided by 2a<br><br> The brackets mean square root

kipiarov [429]

$x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\
2ax=-b+\sqrt{b^2-4ac}\\
\sqrt{b^2-4ac}=2ax+b\\
b^2-4ac=(2ax+b)^2\\
-4ac=4a^2x^2+4abx+b^2-b^2\\
-4ac=4a^2x^2+4abx\\
c=-ax^2-bx$

7 0

3 years ago

If x is divided by 5 the remainder is 4. If why is divided by 5 the remainder is 1. What is the remainder when x+y is divided by

Naddik [55]

Answer:

0

Step-by-step explanation:

We are given the following:

$\frac{x}{5}=q_1+\frac{4}{5}$ (equ. 1)

$\frac{y}{5}=q_2+\frac{1}{5}$ (equ. 2)

We are asked:

$\frac{x+y}{5}=q_3+\frac{r}{5}$ (equ. 3) , what is $r$ ?

The $q_i$ 's represent the quotients you get.

$r$ is the remainder of dividing $x+y$ by 5.

We know that $r$ is a number in {0,1,2,3,4}.

$x=5q_1+4$ (I got this by multiplying both sides of equ 1. by 5.)

$y=5q_2+1$ (I got this by multiplying both sides of equ 2. by 5.)

Let's add these equations together:

$x+y=(5q_1+5q_2)+(4+1)$

Factoring the 5 out for the $q_i$ 's part and simplify 4+1 gives:

$x+y=5(q_1+q_2)+5$

So $5$ can't be the remainder of dividing something by 5 but see that we can factor this right hand expression more as:

$x+y=5(q_1+q_2+1)$

So $q_3=q_1+q_2+1$ while there is no remainder (the remainder is 0).

Let's do an example if you are not convinced at this point that the remainder will be 0.

So choose x=9 since 9/5 gives a remainder of 4.

And choose y=16 since 16/5 gives a remainder of 1.

x+y=9+16=25 and 25/5 gives a remainder of 0.

8 0

3 years ago