Answer:
x = 144
Step-by-step explanation:
y α x
we introduce a constant 'k' when changing from α to =.
i.e y = kx
y = ⅓ when x = 12
Meaning, ⅓ = k * 12
⅓ = 12k
k = ⅓ ÷ 12
k = 1/36
If y = 4, x = ?
using the equation y = kx
4 = (1/36)x
x = 4 ÷ (1/36)
x = 4 * 36
x = 144
Answer:
11 years.
Step-by-step explanation:
Given that Carter invested $ 16,000 in an account paying an interest rate of 5.6% compounded monthly, to determine, assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $ 29,600, the following calculation must be performed:
16,000 x (1 + 0.056 / 12) ^ Yx12 = 29,600
Y = 11
16,000 x 1.4666 ^ 132 = X
29,581.70 = X
Thus, rounded to the nearest year, it would take 11 years for the account to reach $ 29,600.
If you examine the numbers in the question above very well, you will discover that thy have a distinctive pattern. The pattern is this, you add 3 to the first number and then you multiply the next by 2. Lets go over the numbers now:
6 + 3 = 9
9 * 2 = 18
18 + 3 = 21
21 * 2 = 42
42 + 3 = 45
45 * 2 = 90
90 + 3 = 93
93 * 2 = 186, etc.
Thus, the next number after 45 is 90.
Rate of interest is given as 6% and Principle amount as Rs2000
Interest after 1 year= P*R*T/100 = 2000*6*1/100 = Rs 120
Net amount at the end of first year= Principle+ interest-Amount withdrawn=2000+120-700= Rs 1420
For the next 2 years, simple interest will be paid at the rate of 6% on the amount of Rs 1420 which is = 1420*6*2/100 =Rs 170.40
Balance after 3 years= 1420+170.40=Rs 1590.40
Read more on Brainly.in - https://brainly.in/question/70852#readmore
12(2x - 8) = 15
12(2x) - 12(8) = 15
24x - 96 = 15
<u> + 96 + 96</u>
<u>24x</u> = <u>111</u>
24 24
x = 4.625
