Find m(x) = f(x) * h(x) Values - f(x) = -3x + 6; g(x) = 7x -5; h(x) = -2

$182 at 6% simple interest for 4 years. Find the interest earned on the account

White raven [17]

The interest is $43.68

5 0

3 years ago

Need the answer to this thank you!

Sholpan [36]

Answer:

n = 4

Step-by-step explanation:

Use the explicit formula of a arthmetic sequence: an = a1 + d(n - 1)

a1 = -70

d = -10

an = -100

Do all of the steps and plug all the numbers with the formula.

So -100 = -70 - 10(n - 1)

-100 = -70 - 10n + 10

-100 = -60 - 10n

-100 + 60 = -40

-40 = -10n

-40/-10n = -10n/10

n = 4

So the final answer is n = 4. Just follow all of the steps and you will understand how I got my answer. Hope it helped!

7 0

3 years ago

The number of minutes that Samantha waits to catch the bus is uniformly distributed between 0 and 15 minutes. What is the probab

Maslowich

Answer:

option d. 30%

Step-by-step explanation:

Data provided in the question:

$a=0$

$b=15$

Now,

The probability density function of the uniform distribution is given as:

$f(x)=\frac{1}{15-0}$

$f(x)=\frac{1}{15}, 0$

Therefore,

The required probability will be

$P(X$

or

= 0.3 × 100%

= 30%

Hence,

The answer is option d. 30%

5 0

3 years ago

What is the correct answer please I need help.

vfiekz [6]

Answer:

D: What is the height of the tallest player on a team.

Step-by-step explanation:

8 0

3 years ago

2067 Supp Q.No. 2a Find the sum of all the natural numbers between 1 and 100 which are divisible by 5. Ans: 1050

Alborosie

5

Answer:

1050

Step-by-step explanation:

Natural Numbers are positive whole numbers. They aren't negative, decimals, fractions. We can just divide 5 into 100 to find how many natural numbers go up to 100 and just add them but that is just to much.

There is a easier method.

E.g: Natural Numbers that are divisible by a Nth Number. is the same as adding the Nth Numbers to a multiple of that Nth Term. For example, let say we need to find numbers divisible by 2. We know that 4 is divisible by 2 because 4/2=2. We can add the Nth numbers which is 2 to 4. 4+2=6. And 6 is divisible by 2 because 6/2=3. We can call this a arithmetic series. A series which has a pattern of adding a common difference

Back to the problem, we can use the sum of arithmetic series formula,

$y = x( \frac{z {}^{1} + {z}^{n} }{2} )$

Where x is the number of terms in our sequence. Z1 is the fist term of our series. ZN is our last term. And y is the sum of all of the terms

The first term is 5, the numbers of terms being added is 20 because 100/5=20. The last term is 100.

$y = 20( \frac{5 + 100}{2} )$

$y = 20( \frac{105}{2} )$

$y = 1050$

5 0

3 years ago