Answer:
Solution given:
Volume of cone=⅓πr²h
Volume of cylinder=πr²h
1.
volume =πr²h=π*(10/2)²*6=<u>471.23mm³</u>
2.
Volume =πr²h=π*8*12.5=<u>314.16in³</u>
3.
volume =⅓πr²h=⅓*π*4²*3=<u>5</u><u>0</u><u>.</u><u>2</u><u>6</u><u>c</u><u>m</u><u>³</u>
4.
Volume =⅓πr²h=⅓*π*(8/2)²*12=<u>2</u><u>0</u><u>1</u><u>.</u><u>0</u><u>6</u><u>i</u><u>n</u><u>³</u>
Answer:
-89 +4i sqrt (3)
Step-by-step explanation:
sqrt(-48) - 89
sqrt(-1) sqrt(48) - 89
We know that sqrt(-1) = ±i
±i sqrt(48) - 89
±i sqrt(16)sqrt(3) - 89
±4i sqrt(3) - 89
Taking the principal square root
-89 +4i sqrt (3)
Answer:
The exponential function is
.
You will have $1,100.55 in the account after 2 years.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Deposit $1000 in a savings account that pays 4.8% interest compounded monthly.
This means that
. So




This is the exponential function
How much will you have in your account after 2 years?
This is A(2). So

You will have $1,100.55 in the account after 2 years.
Answer:
=7/6
Step-by-step explanation:
= 20/3-11/2
= 7/6
You should use calculator.
Answer:
14/9 or 1.555556
Step-by-step explanation:
1) Simplify 1 + 1/3 to 4/3.
(4/3)^2 - 2/9
2) Use Division Distributive Property: (x/y)^a = x^a/y^a.
4^2/3^2 - 2/9
3) Simplify 4^2 to 16.
16/3^2 - 2/9
4) Simplify 3^2 to 9.
16/9 - 2/9
5) Simplify.
14/9
(Decimal form: 1.555556)
Thanks, Eddie