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3 years ago

The scale of a map is 1in.:75km. Determine the distance between two towns that are 5.6 in. apart on the map.

Mathematics

1 answer:

sergeinik [125]3 years ago

6 0

Answer:

420 km

Step-by-step explanation:

75 times 5 = 375

75/10 = 7.5 times 6 = 45

375 + 45 = 420

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Suppose you invest $75 a month in an annuity that earns 48% APR compounded monthly. How much money will you have in this account

il63 [147K]

Answer:

The money after 3 years is $5819.8735

Step-by-step explanation:

We are given

monthly payment =$75

so, P=75

annuity that earns 48% APR

so, r=48%

Since, it is compounded monthly

so,

$i=\frac{48}{12} =4$ %

i=0.04

$n=12\times 3=36$

now, we can use annuity formula

$FV=P[\frac{(1+i)^n-1}{i} ]$

where

FV is future value

now, we can plug values

$FV=75[\frac{(1+0.04)^{36}-1}{0.04} ]$

we get

$FV=5819.8735$

The money after 3 years is $5819.8735

4 0

3 years ago

SUB to my yt just hit 300 subs!!!!!!!!!!!!!!!!!! PLZ SUB

Katyanochek1 [597]

Answer:

i will just sub. to your chanal

5 0

3 years ago

A spherical ball with a volume of 2,304π in.3 is packaged in a box that is in the shape of a cube. The edge length of the box is

Nutka1998 [239]

Answer:

Therefore the volume of the box is 13824 in³

Step-by-step explanation:

Given:

A spherical ball with is packaged in a box that is in the shape of a cube.

Volume of ball = 2304π in³.

Let 'r' be the radius of sphere

To Find:

Volume of Cube = ?

Solution:

Volume of sphere is given by

$\textrm{Volume of sphere}=\dfrac{4}{3}\pi r^{3}$

Substituting the values we get

$2304\pi=\dfrac{4}{3}\pi r^{3}\\\\\therefore r^{3}=1728\\\\Cube\ Rooting\\\\r=12\ in$

Now we know that diameter is given by

$diameter=2\times r=2\times 12=24\ in$

it is given that,

The edge length of the box is equal to the diameter of the ball.

Therefore the length of cube = 24 in

Now the volume of the cube is given by

$\textrm{Volume of cube}=(edge)^{3}$

substituting the values we get

$\textrm{Volume of cube}=(24)^{3}=13824\ in^{3}$

Therefore the volume of the box is 13824 in³

6 0

4 years ago

An isotope of iodine has a mass of 134 amu. How many neutrons does the

Nina [5.8K]

Answer:

The correct option is C: the isotope of iodine contains 81 neutrons.

Step-by-step explanation:

The mass (A) of the iodine isotope is given by:

$A = Z + N$

Where:

Z: is the number of protons

N: is the number of neutrons

For iodine Z= 53, so if A = 134 the number of neutrons is:

$N = A - Z = 134 - 53 = 81$

Therefore, the correct option is C. The isotope of iodine contains 81 neutrons.

I hope it helps you!

5 0

3 years ago

How would you factor (x^2-4x+4)?

cupoosta [38]

Answer:

$\huge \boxed{ \boxed{ {(x - 2)}^{2} }}$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

factoring
PEMDAS

<h3>tips and formulas:</h3>

(a-b)²=a²-2ab+b²

<h3>let's solve:</h3>

rewrite the given expression:(x)²-2.2x+(2)²
(x-2)²

and

we are done

7 0

3 years ago

Read 2 more answers