<h3>Answer:</h3>
- the result in scientific notation is 6.561×10⁻⁷
- the result as a decimal is 0.000 000 656 1
<h3>Explanation:</h3>
The rules of exponents say the exponent outside parentheses applies to each factor inside parentheses.
... (8.1*10^-4)^2 = 8.1^2 × (10^-4)^2
... = 65.61 × 10^-8
... = 6.561 × 10^-7 . . . . adjust to scientific notation with one digit left of the decimal point
The exponent of -7 means the decimal point in the decimal number is 7 places to the left of where it is in scientific notation. That is ...
... 6.561 × 10^-7 = 0.0000006561
Answer:
cosjk = √55 i/3
tanjk = 8/√55 i
Step-by-step explanation:
Given
sin jk = 8/3
According to SOH CAH TOA
Sin theta = opposite/hypotenuse = 8/3
Opposite = 8
hypotenuse = 3
Get the adjacent using the pythagoras theorem
hyp² = opp²+adj²
adj² = hyp² - opp²
adj² = 3² - 8²
adj² = 9-64
adj² = -55
adj = √-55
adj = √55 i (i = √-1)
Get cosjk
cosjk = adj/hyp
cosjk = √55 i/3
Get tanjk
tanjk = opp/adj
tanjk = 8/√55 i
If I understand the question, you have to get n alone. in this case, you have to subtract 7 from both sides, resulting in n (is less than) -10
Step-by-step explanation:
Simple interest formula
Compound interest formula
a.
Simple interest is $125
b
. 
Compound interest is $125
c. the result for both a and b are the same
d.
the simple interest is $375
e
. ![A = 5000 (1 + \frac{0.025}{1})^{1*3}] \\A=5000(1.025)^3 \\A=5000(1.077)\\A= 5385](https://tex.z-dn.net/?f=A%20%3D%205000%20%281%20%2B%20%5Cfrac%7B0.025%7D%7B1%7D%29%5E%7B1%2A3%7D%5D%20%5C%5CA%3D5000%281.025%29%5E3%20%5C%5CA%3D5000%281.077%29%5C%5CA%3D%205385)
the compound interest is $385
f. the result compared, compound interest is $10 more than simple interest
g.
the simple interest is $600
h.
![A = 5000 (1 + \frac{0.02}{1})^{1*6}] \\A=5000(1.12)^6 \\A=5000(1.9738) \\A= 9869](https://tex.z-dn.net/?f=A%20%3D%205000%20%281%20%2B%20%5Cfrac%7B0.02%7D%7B1%7D%29%5E%7B1%2A6%7D%5D%20%5C%5CA%3D5000%281.12%29%5E6%20%5C%5CA%3D5000%281.9738%29%20%5C%5CA%3D%209869)
the compound interest is $4869
i. the result from g and h, h is over 8 times bigger than g.
j. interest compound annually is not the same as simple interest, only for the case of a and b seeing that it is for 1 year. but for 2years and above there is difference as seen in c to h
