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Naya [18.7K]
3 years ago
7

Explain an example of how taking an amount (for example, $20), decreasing it by 40% and then increasing that amount by 40% does

not get you back to the original amount.
Mathematics
1 answer:
Likurg_2 [28]3 years ago
4 0

Answer:

See below

Step-by-step explanation:

What we can do is try it out.

20*0.6=12

since 0.6 is left

now we increase 12 by 40, or multiply it by 1.4

12*1.4= 16.8

See what is happening here is that at first when we are decreasing it by 40 percent, we are taking 40 percent of 20. However, when we increase that amount by 40 percent, we are now increasing 40 percent of 20 by 40 percent, or increasing 16 by 40 percent. Therefore, we will not get the original amount.

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Sasha's bank account earns 4% simple interest. How much must she deposit in the account today if she wants it to be worth $1,000
Serhud [2]

If Sasha wants her account to be worth $1,000 in 5 years, then she must deposit $833.34.

<h3>What is simple interest?</h3>

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = PRT

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

Sasha's bank account earns 4% simple interest. Therefore, if she wants it to be worth $1,000 in 5 years then the principal amount must be,

Account balance = PRT + P

$1,000 = P[(0.04×5)+1]

$1,000 = 1.2 P

P = $833.34

Hence, if Sasha wants her account to be worth $1,000 in 5 years, then she must deposit $833.34.

Learn more about Simple Interest:

brainly.com/question/2793278

#SPJ1

5 0
2 years ago
Find the missing side or angle for each variable round your answer to the nearest tenth
Anton [14]

Answer:

x = 73.4°

Step-by-step explanation:

sin x° = 23/24

sin x° = 0.9583

x = 73.4°

6 0
2 years ago
A model rocket is launched straight upward. The solid fuel propellant pushes the rocket off the ground at an initial velocity of
anastassius [24]

Answer:

a) 72.25sec

b) 6.25secs

c) after 10.5secs and 2 secs

Step-by-step explanation:

Given the height reached by the rocket expressed as;

s(t)= -4t^2 + 50t - 84

At maximum height, the velocity of the rocket is zero i.e ds/dt  = 0

ds/dt = -8t + 50

0 = -8t + 50

8t = 50

t = 50/8

t = 6.25secs

Hence it will reach the maximum height after 6.25secs

To get the maximum height, you will substitute t - 6.25s into the given expression

s(t)= -4t^2 + 50t - 84

s(6.25) = -4(6.25)^2 + 50(6.25) - 84

s(6.25) = -156.25 + 312.5 - 84

s(6.25)  = 72.25feet

Hence the maximum height reached by the rocket is 72.25feet

The rocket will reach the ground when s(t) = 0

Substitute into the expression

s(t)= -4t^2 + 50t - 84

0 = -4t^2 + 50t - 84

4t^2 - 50t + 84 = 0

2t^2 - 25t + 42 = 0

2t^2 - 4t - 21t + 42 = 0

2t(t-2)-21(t-2) = 0

(2t - 21) (t - 2) = 0

2t - 21 = 0 and t - 2 = 0

2t = 21 and t = 2

t = 10.5 and 2

Hence the time the rocket will reach the ground are after 10.5secs and 2 secs

3 0
3 years ago
ANSWER PLS! DUE TODAY!!!
makvit [3.9K]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Question Completion Status:
jeka94

Answer:

y=3x-3

Step-by-step explanation:

The equation of the line with the slope m and passing through the point (x_0,y_0) is

y-y_0=m(x-x_0)

In your case,

m=3\\ \\x_0=3\\ \\y_0=6

Hence, the equation of the line is

y-6=3(x-3)\\ \\y-6=3x-9\\ \\y=3x-9+6\\ \\y=3x-3

3 0
3 years ago
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