Answer:
(1) $11955.38
(2) $12228.62
(3) $12293.527
(4) $12326.6
Step-by-step explanation:
Compound interest is given by
A= P( 1 + r/n)^n*t
A= Final amount
P = initial amount = 6000
r = interest rate = 9% = 0.09
n = number of times interest applied per time period
t = number of time periods elapsed
(1) Compounded annually
n = 1 , t = 8
A = 6000( 1+ 0.09/1) ^1*8
A = 6000( 1.09) ^8 = $11955.38
(2) compounded quarterly
n = 4 , t = 8
A = 6000( 1+ 0.09/4) ^4*8
= 6000( 1.0225)^32 = $12228.62
(3) compounded monthly
n = 12 , t = 8
A = 6000( 1+0.09/12)^12*8 = $12293.527
(4) compounded continuously
A = P* e^rt
r = 0.09 , t = 8
= 6000* e^0.09*8
= 6000* e^0.72 = $12326.6
Answer:(updated)
2.4%
Step-by-step explanation:
$2.90-$2.83=$.07
.07/2.9=0.024137931(round to nearest ten<u>th</u>)=2.4%
or you can do 0.024137931*100 and get the same answer
Shout out to lameash66 (they helped me change my answer, thank you)
Answer:
U =35.5
Step-by-step explanation:
Since this is a right angle, we can use trig functions
tan theta = opp/ adj
tan U = 5/7
Take the inverse of each side
tan ^-1 tan U = tan ^-1 (5/7)
U = 35.53767779
Round to the nearest tenth
U =35.5
Answer:
Option C.
Step-by-step explanation:
We need to find the correct definition of like terms.
Like terms :Two or more terms are called like terms if they have the same variables and same powers.
For example : 4xy and 9xy are like terms.
Option A is incorrect because 3x and 3 are not like terms.
Option B is incorrect because 6x and 9 are not like terms.
Option C is correct because like terms are terms that have the same variable factors as well as the same number of factors of each type. For example, 3x and 5x are like terms.
Option D is incorrect because 3x and 5 are not like terms.
Therefore, the correct option is C.
Answer:
Is this even possible
Step-by-step explanation:
