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3 years ago

Solve the equation. 4=−0.8n

Mathematics

2 answers:

madreJ [45]3 years ago

6 0

Divide -0.8 from both sides
4/-0.8=n
n=-5

MAVERICK [17]3 years ago

3 0

N=-5 you got to get the n by it self

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Cassidy has saved $8,000 this year in an account that earns 9% interest annually. Based on the rule of 72, it will take about ye

den301095 [7]

Answer:

The number of years in which saving gets double is 8 years .

Step-by-step explanation:

Given as :

The principal amount saved into the account = p = $8,000

The rate of interest applied = r = 9%

The Amount gets double in n years = $A

Or, $A = 2 × p = $8,000 × 2 = $16,000

Let the number of years in which saving gets double = n years

Now,<u> From Compound Interest method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, 2 × p = p × $(1+\dfrac{\textrm r}{100})^{\textrm n}$

Or, $16,000 = $8,000 × $(1+\dfrac{\textrm 9}{100})^{\textrm n}$

Or, $\dfrac{16,000}{8,000}$ = $(1.09)^{n}$

Or, 2 = $(1.09)^{n}$

Now, Taking Log both side

$Log_{10}$ 2 = $Log_{10}$ $(1.09)^{n}$

Or, 0.3010 = n × $Log_{10}$ 1.09

Or, 0.3010 = n × 0.0374

∴ n = $\dfrac{0.3010}{0.0374}$

I.e n = 8.04 ≈ 8

So, The number of years = n = 8

Hence, The number of years in which saving gets double is 8 years . Answer

8 0

3 years ago

What is the probability a day in the 70s is a Monday?

Degger [83]

Answer:

a) Probability of a day with temperature in the 70s = 0%

b) The set of the intersection of Tuesdays and days with temperature in the 80s is an empty or null set.

c) Probability an observation picked at random is both a Sunday and more than 90 degrees

= 0.10 = 10%

Step-by-step explanation:

The table of data for this question was obtained online and attached to this solution

Note that the probability of an event is defined as the number of elements in that event divided by the Total number of elements in the sample space.

a) What is the probability a day in the 70s is a Monday?

Of the days with temperature in the 70s (only one day, which is a Sunday), none of them are Mondays, hence, the probability of a day with temperature in the 70s being a Monday is 0%.

b) Which set forms the intersection of Tuesdays in the 80s?

Acvording to the data available, the set of Tuesdays with temperatures in the 80s is an empty set. Hence, this set is a null set.

c) What is the probability an observation picked at random is both a Sunday and more than 90 degrees?

The number of Sundays with temperature more than 90 degrees = 3

The total number of observations available = 30

Probability an observation picked at random is both a Sunday and more than 90 degrees = (3/30) = 0.10 = 10%

Hope this Helps!!!

7 0

3 years ago

Find all of the missing angles of sides of the triangle below. Note that side lengths are in centimeters. Show and/or explain yo

FromTheMoon [43]

Answer:

c=19.21

<C=90

<B=38.66°

<A=51.34

Step-by-step explanation:

12²+15²=c²

144+225=c²

c=19.21

<C=90

For angle B, the sinB=Opposite over Hypotenuse

sinB=12/19.21

sinB=0.62467

B=sin^-1(0.62467)

<B=38.66°

To find A, 180-90-38.66

<A=51.34

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3 years ago

Given the equation below, find the x and y−intercepts by completing the table.What is the problem with using these intercepts to

kvasek [131]

$-4x+2y=0$

In order to find the x-intercept we need to make y=0

$-4x+2(0)=0$

Then we isolate the x

$-4x=0$ $x=0$

x y Ordered Pair type of intercept

0 0 (0,0) x-intercept

Now for the y-intercept we need to make x=0

$-4(0)+2y=0$

we isolate the y

$2y=0$

$y=0$

0 0 (0,0) y-intercept

ANSWER

0 0 (0,0) x-intercept

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1 year ago

5692 in standard form

Mamont248 [21]

Answer:

5.692 × 103.

Step-by-step explanation:

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2 years ago

Read 2 more answers