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3 years ago

What is the value of the expression, written in standard form?

Mathematics

1 answer:

wolverine [178]3 years ago

4 0

Answer:

200

Step-by-step explanation:

6.6/3.3 = 2

10^-2 / 10^-4 = 10^2

10^2 = 100

2 x 100 = 200

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You find an interest rate of 10% compounded quarterly. Calculate how much more money you would have in your pocket if you had us

Elena-2011 [213]

Answer:

see the explanation

Step-by-step explanation:

we know that

step 1

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

$r=10\%=10/100=0.10\\n=4$

substitute in the formula above

$A=P(1+\frac{0.10}{4})^{4t}$

$A=P(1.025)^{4t}$

Applying property of exponents

$A=P[(1.025)^{4}]^{t}$

$A=P(1.1038)^{t}$

step 2

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

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

e is the mathematical constant number

we have

$r=10\%=10/100=0.10$

substitute in the formula above

$A=P(e)^{0.10t}$

Applying property of exponents

$A=P[(e)^{0.10}]^{t}$

$A=P(1.1052)^{t}$

step 3

Compare the final amount

$P(1.1052)^{t} > P(1.1038)^{t}$

therefore

Find the difference

$P(1.1052)^{t} - P(1.1038)^{t}$ ----> Additional amount of money you would have in your pocket if you had used a continuously compounded account with the same interest rate and the same principal.

3 0

3 years ago

Sugar expert last year was reduced by 20% from a total of 40000 tonnes. What was the previous years expert?

Readme [11.4K]

Answer:

32000 tonnes

Step-by-step explanation:

Given there was a 20% reduction last year from a total of 40000 tonnes .

20% /100% x 40000

0.2 x 40000

8000tonnes

Therefore, previous year’s excerpt = 40000 - 8000

32000tonnes

6 0

3 years ago

In 2004, it was reported that "the relationship between body mass, M, and standard metabolic rate, B, among living organisms rem

lesya692 [45]

The answer is 8884.37 times

In many cases, B is approximately proportional to the three-quarters power of M:
 $B= M^{3/4}$

Elephant:
M1 = 4.6 mt = 4.6 * 1,000,000 g = 4,600,000 g
 $B1= 4600000^{3/4}=99327.24$

Mouse
M2 = 25 g
$B2= 25^{3/4}=11.18$

determine how many times greater the metabolic rate of an elephant is than that of a mouse:
B1/B2 = 99327.24 / 11.18 = 8884.37 times

6 0

3 years ago

Find the value of H in the parallelogram. Answer options: 3.6, 2.2, 2.4, 3.8

givi [52]

Answer:

3.8

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Missy rolls two 6 sided number cubes labeled 1-6. What is the probability that both number cubes land on a prime number

WITCHER [35]

Answer:

There is a 1/4 chance of Missy rolling a prime number on both cubes.

Step-by-step explanation:

Rolling one 6-sided cube, Missy has a 3/6 or 1/2 chance of landing on a prime number because the prime numbers between 1 and 6 (inclusive) are 2,3 and 5. When Missy rolls 2, 6-sided cubes, however, the chances of that happening lessens, and we multiply 1/2 by 1/2 as a result. Therefore, when Missy rolls two 6-sided cubes, there is a 1/4 chance of Missy rolling a prime number on both cubes.

8 0

4 years ago