Answer: 7/8
Step-by-step explanation: This is a substitution problem, from the expression x + ³/₄, where x = ¹/₈, we now replace or substitute for x and then solve the expression fractionally, the expression now becomes
¹/₈ + ³/₄
Now , find the l. c. m. of the denominator 8 and 4
1 + 6
= _____
8
= 7/8
NOTE: To get 1 and 6, you find out how many times 8 can go in the l. c. m. and later multiplied the number of times by the numerator which = 1.
And the number of times 4 can go in the l. c. m. (8) which is 2 times then multiplied by the numerator (3) = 6.
Adding 1 and 6 together gives 7/8.
P=A/(1+i/m)^mn
P=20000/(1+0.09/12)^12*4
P=(20,000)÷(1+0.09÷12)^(12×4)
P=13,972.28
1) This is not an arithmetic sequence because it has n².
2) To find 5 first terms of this sequence, you can simply substitute n with 1,2,3,4, and 5, and calculate values of a(1),a(2), a(3), a(4) and a(5).
a(n) = 3n²- 1
n=1 a=3*1² - 1 = 3-1=2
n=2 a=3*2² - 1 = 11
n=3 a=3*3² - 1 =26
n=4 a=3*4² - 1 = 47
n=5 a=3*5² -1 = 74
2,11,26,47,74
Answer C. 2,11,26,47,74.
To answer this question you need to interpret the ratio of the money correctly. We only know Dwayne money, so it's better to solve the ratio which was related to Dwayne. In this case, it was Kendra or Tom.
Dwayne money = $5
Kendra money= 1/10 Dwayne money= 1/10 x $5= $0.5
Juan money= 1/10 Kendra money = 1/10 x $0.5= $0.05
Tom money = 10 x Dwayne money = 10 x $5 = $50
Ruth money = 10 x Tom money = 10 x $50= $500
That's $600....so....he needs 200 more
..he'll need to work 3 hours at the grocery store...giving him a total of =252......and $852 gives him 52 extra dollars :)