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ad-work [718]
2 years ago
11

Express the following in exponential notation: (-4) x ... x (-4) 11 times

Mathematics
1 answer:
Anni [7]2 years ago
4 0

Given:

The expression is:

(-4)\times ...\times (-4) (11\text{ times})

To find:

The exponential notation for the given expression.

Solution:

We know that

a\times a\times ...\times a(n\text{ times})=a^n         ...(i)

We have,

(-4)\times ...\times (-4) (11\text{ times})

Using (i), the given expression can be written as:

(-4)\times ...\times (-4) (11\text{ times})=(-4)^{11}

Therefore, the exponential notation of the given expression is (-4)^{11}.

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Debra plans to invest $2,250 for 10 years. She can invest in a savings account that pays 4% simple intrest or a savings account
Diano4ka-milaya [45]

Answer:

\$180.55

Step-by-step explanation:

step 1

<u><em>Simple interest</em></u>

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04

substitute in the formula above

A=2,250(1+0.04*10)

A=2,250(1.4)

A=\$3,150

step 2

<u><em>Interest compounded annually</em></u>

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1

substitute in the formula above

A=2,250(1+\frac{0.04}{1})^{1*10}  

A=2,250(1.04)^{10}  

A=\$3,330.55

step 3

Find the differences between the two final amounts

A=\$3,330.55-\$3,150=\$180.55

5 0
3 years ago
Simplify the following expression.
Allushta [10]

Answer:

I got C.)5

Step-by-step explanation:

5 0
3 years ago
Simplify (8x^2 - 1 + 2x^3) - (7x^3 - 3x^2 + 1).
Elenna [48]

Answer:

31x^2-2 is the answer....

Step-by-step explanation:

7 0
3 years ago
A cube has side length 0.7 metres.
Nadya [2.5K]

Answer:

2.94

Step-by-step explanation:

SA

Area of one plane moultyply by number of planes

0.7*0.7*6

=2.94

7 0
3 years ago
Laryngeal cancer rates in smokers is 160.0 (per 100,000) and 25.0 (per 100,000) among nonsmokers. Among smokers, what percentage
Romashka [77]

Answer:

0.16%

Step-by-step explanation:

From the statement of the question;

Number of Laryngeal cancer due to smoking = 160

Population of smokers = 100,000

Hence the percentage of smokers liable to have Laryngeal cancer = 160/100000 ×100/1

=0.16%

Hence 0.16% of smokers are liable to Laryngeal cancer

4 0
3 years ago
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