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3 years ago

Sum of natural numbers between 10 and 100 and divisible by 4

1 answer:

7 0

Numbers 10-100 that are divisible by 4:

12
16
20
24
28
32
36
40
44
48
52
56
60
64
68
72
76
80
84
88
92
96
100

Total: 1288

You might be interested in

300/28 in simplest form

lesantik [10]

Answer:

The reduced form of

300 /28 is 75 /7

Steps to simplifying fractions:

Find the GCD (or HCF) of numerator and denominator

GCD of 300 and 28 is 4

Divide both the numerator and denominator by the GCD

300 ÷ 4

28 ÷ 4

Reduced fraction: 

75 /7

8 0

3 years ago

Read 2 more answers

Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse

Drupady [299]

Answer:

$a'(d) = \frac{d}{5} + \frac{3}{5}$

$a(a'(d)) = a'(a(d)) = d$

Step-by-step explanation:

Given

$a(d) = 5d - 3$

Solving (a): Write as inverse function

$a(d) = 5d - 3$

Represent a(d) as y

$y = 5d - 3$

Swap positions of d and y

$d = 5y - 3$

Make y the subject

$5y = d + 3$

$y = \frac{d}{5} + \frac{3}{5}$

Replace y with a'(d)

$a'(d) = \frac{d}{5} + \frac{3}{5}$

Prove that a(d) and a'(d) are inverse functions

$a'(d) = \frac{d}{5} + \frac{3}{5}$ and $a(d) = 5d - 3$

To do this, we prove that:

$a(a'(d)) = a'(a(d)) = d$

Solving for $a(a'(d))$

$a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})$

Substitute $\frac{d}{5} + \frac{3}{5}$ for d in $a(d) = 5d - 3$

$a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3$

$a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3$

$a(a'(d)) = d + 3 - 3$

$a(a'(d)) = d$

Solving for: $a'(a(d))$

$a'(a(d)) = a'(5d - 3)$

Substitute 5d - 3 for d in $a'(d) = \frac{d}{5} + \frac{3}{5}$

$a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}$

Add fractions

$a'(a(d)) = \frac{5d - 3+3}{5}$

$a'(a(d)) = \frac{5d}{5}$

$a'(a(d)) = d$

Hence:

$a(a'(d)) = a'(a(d)) = d$

7 0

2 years ago

Anthony has 400 marbles. He sells 1/4 of the marbles to Jayveon, he gives 10% to Abdul and donates 10 marbles to his little brot

Georgia [21]

Answer: See explanation

Step-by-step explanation:

Number of marbles = 400

Anthony sells 1/4 of the marbles to Jayveon. This will be:

= 1/4 × 400

= 100 marbles

Anthony gives 10% to Abdul. Abdul will have:

= 10% × 400

= 0.1 × 400

= 40 marbles

He gave 10 marbles to his little brother.

The number of marbles that Anthony has left will be:

= 400 - (100 + 40 + 10)

= 400 - 150

= 250 marbles

8 0

3 years ago

9000 dollars is placed in an account with an annual interest rate of 7.75%. How much will be in the account after 18 years, to t

NNADVOKAT [17]

In one year, $ 9,000 with a profit of 7.75%, is $ 697.5

697.5 × 18 = 12555

After 18 years old, it is $ 15,222

7 0

3 years ago

Read 2 more answers

The measure of a base isosceles triangle is 43? what is the measure of the vertex angle

Anestetic [448]

Answer:

The vertex angle is 94 degrees

Step-by-step explanation:

Let the vertex angle be x

Mathematically, the base angles of an isosceles triangle are the same

So if one of the base angles is 43 degrees, then the other base angle would be 43 degrees too

Mathematically, the sum of angles in a triangle is 180 degrees

Thus;

43 + 43 + x = 180

x = 180-86

x = 94 degrees

4 0

3 years ago

Sum of natural numbers between 10 and 100 and divisible by 4​

Sum of natural numbers between 10 and 100 and divisible by 4